Abby is making tie dyed T-shirts for her class field trip each shirt costs 3.95. the dye costed 0.50 then she bought two boxes of salt to mix for 4.50 each. If she had 124.70 how many shirts can she make?

Answers

Answer 1

Answer:

3.95 + 0.50 + 4.50 × 2 = 13.45

13.45 × x = 124.70

x = 9

Therefore, she can make 9 shirts.


Related Questions

A movie studio keeps 240 dresses in its wardrobe for historical films. Three-fifths of them can be used for movies that take place in the 1700s and 15% of them can be used for movies in the civil war era. A. What percent of the dresses are for films set in the 1700s? B. What percent of the dresses are for films not set in the 1700s? Explain how you found your answer. C. What percent of the dresses are for films set in the 1700s or during the civil war era? Explain how you found your answer. D. What percent of the dresses are not for films set during the civil war era? Explain how you found your answer.​

Answers

A) The dresses for films set in the 1700s would be 60%.

B) The percentage of dresses that are not for films set in the 1700s is 40%.

C) The percentage of dresses that can be used for films set in the 1700s or during the civil war era is 75%.

D) The percentage of dresses that are not for films set during the civil war era is 85%.

What is a percentage?

The percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol "%". It is used to express a proportion of a number out of 100. It is useful in many applications such as finance, statistics, and other fields.

A. Three-fifths of the dresses can be used for movies that take place in the 1700s, which is 3/5 * 100 = 60%.

B. The percent of the dresses that are not for films set in the 1700s is 100% - 60% = 40%. This is found by subtracting the percentage of dresses that are used for 1700s movies from 100%.

C. The percent of the dresses that can be used for films set in the 1700s or during the civil war era is 60% + 15% = 75%. This is found by adding the percentage of dresses that can be used for 1700s movies and the percentage of dresses that can be used for civil war era movies.

D. The percent of the dresses that are not for films set during the civil war era is 100% - 15% = 85%. This is found by subtracting the percentage of dresses that are used for civil war era movies from 100%.

Hence,

A) The dresses for films set in the 1700s would be 60%.

B) The percentage of dresses that are not for films set in the 1700s is 40%.

C) The percentage of dresses that can be used for films set in the 1700s or during the civil war era is 75%.

D) The percentage of dresses that are not for films set during the civil war era is 85%.

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Lesson 17

Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Hypotenuse = 14.5 meters
Opposite side = 6.3 meters
θ = ?

Answers

The measure for θ is 25.747121°.

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Hypotenuse = 14.5 meters

Opposite side = 6.3 meters

Now, using Trigonometry

sin θ = Opposite side / Hypotenuse

by putting the given values we get

sin θ = 6.3 / 14.5

sin θ = 63/145

sin θ = 0.4344

θ =25.747121°

Hence, the angle is 25.747121°.

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write each percent as a fraction and
as a decimal.
7/100%
I NEED THIS BY 2:30PM

Answers

7/100% can be written as a fraction as 7/100, and as a decimal as 0.07.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{7}{100}\%}[/tex]

[tex]\mathsf{= \dfrac{7}{100} \div 100}[/tex]

[tex]\mathsf{= \dfrac{7}{100}\times \dfrac{1}{100}}[/tex]

[tex]\mathsf{= \dfrac{7(1)}{100(100)}}[/tex]

[tex]\mathsf{= \dfrac{7}{1,000}}[/tex]

[tex]\mathsf{= 0.0007}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{7}{1,000} \ \& \ 0.0007}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

can someone help me please i really have to do this right now

Answers

Answer: Angles 2 and 4 = 38, Angle 1 = 142

Step-by-step explanation:

Given that angle 3 is equal to 142, the angle between 2 and 3 has to add up to 180. 142 + 38 = 180. The same applies for angle 4 and 3. So, angle 1 + angle 2 has to add up to 180. We already know angle 2, so now we just have to subtract that from 180 to find angle 1.

4. The Jerico family went ice skating on the
frozen lake. The 2 parents and 4 children each
had ice skates. They brought an extra pair of
ice skates in case anyone else wanted to join
them. How many ice skates did the family
bring?

Answers

Answer:

10

I wish you luck in your assignments.

Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67

Answers

Orange marble selection has a 0.33 experimental probability.12 over 60 is the experimental probability of landing on a number smaller than 2

what is probability ?

Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a comprehensive set of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.

given

In each of the three studies, Sandy's experimental probability matched the theoretical probability to the letter.

The theoretical likelihood of landing on orange is one-fourth, but the actual likelihood is 20%.

Orange marble selection has a 0.33 experimental probability.

12 over 60 is the experimental probability of landing on a number smaller than 2.

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Convert:
25 decimeters
=
Round to the tenths.
meters

Answers

Answer:

2.5

Step-by-step explanation:

Decimeter is 0.1 meter (10 centimeters). That means 25 decimeters is 2.5 meters.

Solve the system of equations.
3x-2y = 3
-4x + 5y = -11

Answers

On solving the provided question, we can say that - the value of x and y by the linear equation will be x = 12 and y = -21

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here, we have

3x-2y = 3

-4x + 5y = -11

and on solving we got

x = 12 and y = -21

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Choose the expression that is equivalent to fraction with 7 raised to the negative tenth power in the numerator and 7 raised to the fourth power times seven raised to the zero power in the denominator.

negative 1 divided by 7 raised to the fourteenth power
−714
1 divided by 7 raised to the fourteenth power
714

Answers

The equation that corresponds to fraction   [tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex] is [tex]\frac{1}{7^{14} }[/tex] . A phrase by itself could contain an action .

what is expression ?

It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression: (Math Operator, Number/Variable, Math Operator). A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence.

given

[tex]\frac{7^{-10} }{(7^{4} )(7^{0} )} \\= \frac{1}{7^{4} } *\frac{1}{7^{10} } * 1\\= \frac{1}{7^{14} }[/tex]

The equation that corresponds to fraction   [tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex] is  [tex]\frac{1}{7^{14} }[/tex] .

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Need Help With This

Answers

Step-by-step explanation:

a) x+20+x+90=180 [sum of 3 angel of triangle]

2x + 110 = 180

2x = 180- 110

2x = 70

x = 70÷2

x = 35

b) 2y + y + y = 180

4y = 180

y = 180÷4

y= 45

c) 4z-30 + 2z = 180

6z = 180 + 30

6z = 210

z = 35

hello- need help on this :)

Answers

Answer: 5x^2 - 15x

Step-by-step explanation:
Distribute the 5x into the parentheses. 5x multiplied by x = 5x^2 and 5x multiplied by -3 and -15x. This means the product is 5x^2 - 15x
Answer: 5x^2 - 15x.

Basically, you just have to multiply the outside number by by x and -3.

A giant satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface for the dish and are reflected to the focus, where the receiver is located. The satellite dish has a diameter of 300 feet and. depth of 44 feet. How far from the base of the dish should the receiver be placed? Round your answer to the nearest foot.

Answers

The answer of given parabola question is 6.125ft.

The definition of a parabola?

a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.

x² = 4py

x=radius which can be found by dividing d=14ft by half

x = d/2 = 11/2 = 7ft

y=2ft is the depth

p is the vertex of the parabola

finding p;

p = x²/4y

p = 7²/4×2

p=6.125ft

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Dan is training his puppy, Lola, to sit. Dan holds a treat 5 feet above the ground until Lola
sits. As soon as she does, he drops the treat, and Lola catches it in her mouth 1.5 feet above
the ground.
To the nearest tenth of a second, how long does the treat fall before Lola catches it?
Hint: Use the formula h = -16t² + s.

Answers

Answer:

t = 0.5 seconds

Step-by-step explanation:

Given formula:

[tex]h=-16t^2+s[/tex]

where:

h = height above the ground (in feet)t = time after dropping the treat (in seconds)

Dan drops the treat 5 feet above the ground.

Therefore, when t = 0, h = 5 ft.  

To find the value of s, substitute these values into the given formula:

[tex]\implies -16(0)^2+s=5[/tex]

[tex]\implies s=5[/tex]

Therefore:

[tex]h=-16t^2+5[/tex]

To calculate how long the treat falls before Lola catches it, substitute h = 1.5 into the formula:

[tex]\implies -16t^2+5=1.5[/tex]

[tex]\implies -16t^2=-3.5[/tex]

[tex]\implies t^2=0.21875[/tex]

[tex]\implies t=\sqrt{0.21875}[/tex]

[tex]\implies t=\pm0.467707173...[/tex]

[tex]\implies t=\pm0.5\; \; \sf (nearest\;tenth)[/tex]

As time is positive, t = 0.5 seconds (nearest tenth) only.

Therefore, it took 0.5 seconds for Lola to catch the treat after it fell.

Find the quotient and remainder using synthetic division for
1³ + 31² + 8x + 14
------------------------
x + 2
The quotient is
The remainder is​

Answers

Therefore , the solution to the given problem of equation comes out to be quotient : x² +x+6+ [tex]\frac{2}{x+2}[/tex] and remainder is 2

Explain equation

A mathematical depiction of two equal variables, one on either side of a "equals" sign, is called an equation. Equations can be used to solve common problems. To solve challenges in real life, we frequently turn for pre algebra assistance. Lessons in pre-algebra cover the foundational ideas of mathematics.

Here,

Given : synthetic division for

x³ + 3x² + 8x + 14

------------------------

x + 2

Write the problem in synthetic division format

-2  | 1 3 8 14

         -2 -2  

------------------------

     1   1  6

Carry down the leading coefficient, unchanged, to below the division symbol

-2  |    1 3 8 14

           -2 -2

---------------------------

         1  1   6

Multiply the carry - down value by the zero of the denominator, and carry the result up into the next column:

1(-2)=-2

-2 |  1 3 8 14

        -2 - 2

------------------

     1    1   6

=> We get:

As

x² +x+6+ [tex]\frac{2}{x+2}[/tex]

and remainder is 2

Therefore , the solution to the given problem of equation comes out to be quotient : x² +x+6+ [tex]\frac{2}{x+2}[/tex] and remainder is 2.

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What is the length x of a diagonal support, to the nearest tenth of a foot?

CORRECT ANSWER

PROVIDE EXPLANATION

Answers

The length of x of a diagonal support is 13.8 feet.

What is the hypotenuse of a triangle.

The hypotenuse of a triangle is the length of the longest side of the triangle. So that it is always opposite to the measure of the largest angle of a triangle.

In the question given, divide the length of the footbridge into 2 parts.

So that,

Half of the footbridge = 25/ 2

                     = 12.5 ft

So that applying the appropriate trigonometric function to determine the value of x using any of the congruent triangles. We have;

Sin θ = opposite/ hypotenuse

Sin 65 = 12.5/ x

x = 12.5/ Sin 65

  = 12.5/ 0.90631

x = 13.792 feet

The length x of a diagonal support is 13.8 feet.

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Solve the equation 5(4x-1.5x) + 12 = 4x- 124 for X

Answers

[tex] \sf \: 5(4x -1.5x) + 12 = 4x - 124 \\ \sf \: 5 \times 2.5x + 12 = 4x - 124 \\ \sf \: 12.5x + 12 = 4x - 124 \\ \sf \: 12.5x - 4x = - 124 - 12 \\ \sf \: 8.5x = - 136 \\ \sf \: x = - 16[/tex]

For Exercises 13-17, given A(6,-4), B(3, 8), and
C(-7, 9), determine the coordinates of the vertices
of AA'B'C' for each glide reflection. Suppose p is
the line with equation x = -3,q is the line with
equation y = 9, and r is the line with equation
y=-2. SEE EXAMPLE 3

Answers

Answer

A(-10, 9), A'(-4, 9)

B(-4, 2), B'(-10, 2)

C(-7, 9), C'(-7, -4)

Example 3:

A(-3, 5), A'(3, 5)

B(-3, 0), B'(3, 0)

C(-3, 5), C'(-3, -10)

y is inversely proportional to x
when y = 7, x = 9
a) work out an equation connecting y and x
b) work out the value of y when x = 21

Answers

The equation connecting y and x is y = 63/x and the value of y when x =21 is 3

a) work out an equation connecting y and x

From the question, we have the following parameters that can be used in our computation:

Variation = inverse variation

y = 7, x = 9

An inverse variation is represented as

k = xy

Where k is the constant of proportion

Substitute the known values in the above equation, so, we have the following representation

k = 7 * 9

Evaluate

k = 63

So, we have the following representation

xy = 63

Make y the subject

y = 63/x

b) work out the value of y when x = 21

Substitute the known values in the above equation, so, we have the following representation

y = 63/21

Evaluate

y = 3

Hence, the solution is 3

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help thanks !!!!!!!!!!!!!!!

Answers

Answer:

ASA

Step-by-step explanation:

The hash marks are telling which sides are congruent and the angle mark is telling us that those angles are congruent.

can someone please help me with this it’s geometry

Answers

Since the lengths EH and FG have the identical slope ratios as the parallel lines problem that is being given, assertion 4 is true, and so statement 4 is: EHFG.

Parallel Lines: What is it?

Two non-vertical lines with the same slope that are located in the same plane are said to be parallel. Two parallel lines cannot cross each other. Right angles connections are those that intersect two non-vertical line in the same plane at a right angle.

Here,

The slope values in EH and FG are the same.

the exhibited proof, which is zero.

This implies that they follow one another in a straight line.

Since the sections EH and FG share the same gradient values as the parallel lines problem that is being given, assertion 4 is true, and so statement 4 is: EH||FG.

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Explain what an exponential form is but leveled down for high schoolers

Answers

The required exponential function is given as y = aˣ where the value of a should be positive always.

What is an exponential function?

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

here,
Since from the above definition exponential function is given as y = aˣ,
This shows the exponential increase and decrease, by means of exponential increase and decrease, a sudden in increase and sudden decrease of function as the value of a varies, see in the graph after the answer. And the value of an always remains positive.

Thus, the required exponential function is given as y = aˣ where the value of a should be positive always.

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In triangle JKL, angles J and L each measure 51° and JK = 18. Triangle PQR is similar to triangle JKL, where J corresponds to P, K corresponds to Q, and QR = 36. Which expression represents the length of segment PR?

Answers

Answer:

Step-by-step explanation:

Triangle JKL is a 51-51-78 triangle, since the angles in a triangle must add up to 180°. Since triangle PQR is similar to triangle JKL, it must also be a 51-51-78 triangle. Since corresponding sides in similar figures are in proportion, we can set up a proportion to find the length of PR:

(PR)/(JK) = (PQ)/(JL) = (36)/(18)

Cross multiplying and solving for PR, we find:

PR = (JK) * (PQ)/(JL) = 18 * 36/18 = 36

Can someone help with these 2 questions please :) or 1 whichever one u know

1. Overall, how successful were resistors to Spanish colonial rule? What factors prevented them from being more successful?

2. What lasting impacts do you think Spanish colonial rule will have on Native American cultures and civilizations? Explain.

Answers

After conquering indigenous civilizations in Mexico and South America, Spanish Colonial Rule became wealthy thanks to the gold and silver it discovered.

What is Spanish Colonial Rule?

The objectives of Spanish Colonial Rule were to take gold and silver from the Americas, to boost the Spanish economy, and to increase Spain's might. Additionally, Spain sought to evangelize Native Americans.

Further Spanish conquistadors, who were mostly poor nobility from Spain's destitute west and south, were able to conquer the vast empires of the New World with the aid of sickness (which reduced native resistance), superior military equipment, and tactical strategies such as surprise attacks and strong.

However, it was challenging to convince immigrants to colonize there due to friction with the local Indian population and the absence of significant silver or gold discoveries.

Thus these are the most leading factors that prevent to become more successful for Spanish Colonial Rule.

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find the value of x !

Answers

Answer:

  x = 7

Step-by-step explanation:

You want to know the value of x when the base of a triangle measures 5x+35, and its midsegment measures 35.

Midsegment

The base of the triangle is twice the length of the midsegment, so you have ...

  5x +35 = 2(35)

  5x = 35 . . . . . . . . . . subtract 35

  x = 7 . . . . . . . . . . divide by 5

__

Additional comment

The midsegment joins the midpoints of the sides of the triangle.

In more formal terms, the smaller triangle is similar to the larger one with a scale factor of 1/2. That means the parallel segments are related by that scale factor of 1/2: (1/2)(5x +35) = 35.

8+ ((3² x 6)- 18) ÷ 9

Answers

the answer is to this problem is 12

mr.jim would like to plant carrots all around base of the fence surrounding his square feet. the area of his garden is 100 sq feet. in feet what is tje perimeter​

Answers

if the shape is a square the perimeter is 40

The pairs of polygons below are similar. Give the sale factor of figure A to figure B

Answers

Answer:

Given that Figure A and Figure B are similar polygons, the scale factor of Figure A to Figure B = 5/2.

Recall:

Similar Polygons have corresponding side lengths whose ratio are equal. That is, their pairs of corresponding sides are proportional.

The ratio of any of their corresponding side length = scale factor

Given the two pairs of similar polygons, the scale factor of figure A to figure B will be calculated as follows:

A side length of Figure A = 10

Corresponding side length of Figure B = 4

Scale factor of Figure A to Figure B = 10/4 = 5/2

Step-by-step explanation:

Find f(g(x)) f(x)= 2x^2-4x-6. G(x)= 2x+7

Answers

if functions  f(x) = 2x²-4x-6 and g(x)= 2x+7 then f(g(x)) is 8(x+2)(x+4)

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given functions are f(x)= 2x²-4x-6

g(x)=2x+7

We need to find expression of f(g(x))

f(g(x))=f(2x+7)

Now replace x with 2x+7 in f(x)

f(2x+7)=2(2x+7)²-4(2x+7)-6

=2(4x²+49+28x)-8x-28-6

Apply distributive property

=8x²+98+56x-8x-28-6

Add the like terms

=8x²+48x+64

f(g(x))=8(x+2)(x+4)

Hence, if functions f(x) = 2x²-4x-6 and g(x)= 2x+7 then f(g(x)) is 8(x+2)(x+4)

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A small town surveyed 250 adults,
150 of the adults who
180 of whom were parents, about whether a park should be expanded The results showed that
were parents and 40
of the adults who were not parents thought the park should be expanded.
Use this information to complete the two-way table.
Enter your answer by filling in the boxes to complete the table.
Should the park be expanded?
Yes
No
Parents
Not parents

Answers

According to the findings, 40 of the adults who were not parents and 150 of the adults who were parents believed that the park should be expanded.

The park be expanded?

250 adults, 180 of whom are parents, leaving 70 adults who are not parents (250 - 180). According to the findings, 40 adults without children and 150 adults with children said the park should be expanded. Thus, 180 – 150 = 30 parents.

Parents: YES OR NO Not parents: 40 | 30 of 150

In this exercise, we must determine the values of the voters who supported expanding the parking lot, which requires that we:

In fact, parents will be 150, not 40.

Parents won't be 30 in total; they'll be 40. Instead, a park should be built to accommodate 250 persons, 180 of whom were parents.

The park should be extended, according to 40 of the people who weren't parents.

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Lorraine prepared a 2.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?

4 jars
5 jars
8 jars
10 jars

Answers

Answer:

  (c)  8 jars

Step-by-step explanation:

You want to know the number of 1.25 quart jars that can be filled from a 2.5 gallon container.

Jars

The number of jars can be found from ...

  (2.5 gal) × (4 qt/gal) × (1 jar)/(1.25 qt) = (2.5·4/1.25) jars = 8 jars

Lorraine can fill 8 jars from the 2.5 gallon pot.

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From a strategy-implementing executing perspective, operating budget allocations should:A. primarily be based on the number of new strategic initiatives being implemented in each operating department.B. be based on the number of people employed in each of the divisions.C. be strategy-driven and be based on how much each organizational unit needs to carry out its piece of the strategic plan efficiently and effectively.D. be linked to the costs of performing value chain activities as determined by benchmarking against best-in-industry competitors.E. be a gut feel decision based on which group has the most Clemson graduates. Suppose a, b, c, and d are constants such that a is not zero and the system below is consistent for all possible values of f and g . What can you say about the numbers a, b, c, and d?Justify your answer. ax + bx2 = f cx + dx2 = g Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5 A DHCP enabled computer on the network has been unplugged from the network for a week. In the meantime, several other computers were added to the network. When plugging the computer back into the network, the computer is unable to reach network resources. Which of the following is the most likely cause? Required information Problem 5-3A Record transactions related to accounts receivable (LO5-3, 5-4, 5-5) Skip to question [The following information applies to the questions displayed below.] The following events occur for The Underwood Corporation during 2021 and 2022, its first two years of operations. June 12, 2021 Provide services to customers on account for $34,400. September 17, 2021 Receive $19,500 from customers on account. December 31, 2021 Estimate that 45% of accounts receivable at the end of the year will not be received. March 4, 2022 Provide services to customers on account for $49,400. May 20, 2022 Receive $10,000 from customers for services provided in 2021. July 2, 2022 Write off the remaining amounts owed from services provided in 2021. October 19, 2022 Receive $39,500 from customers for services provided in 2022. December 31, 2022 Estimate that 45% of accounts receivable at the end of the year will not be received. Calculate bigmeds total revenue if the firm produces the allocatively efficient quantity What is the reciprocal of 1 4/13 How do you reflect over Y =- 4? -presente simple con have (positivo y negativo). Cuando iba al supermercado, siempre_____muchas personas esperando para comprar came.A. huboB. habiaC. Habian2. No____nadie en el mundo mas importante que mi mama. Ella es lo mas importante para mi. A. hayB. HabiaC. hubo jancie's cheerleading team designed two posters to hang around school to advertise their upcoming competition. the posters were shaped like parallelograms. the smaller of the two posters had a base of 6 1/2 feet and a total area of 16 1/4 feet. the larger poster had a base of 8 1/2 feet and a total area of 34 square feet. how much taller is the larger poster than the smaller poster? Given: ACE,BDAE Prove: BACB=DECD A triangle with vertices labeled as A, C, and E, with base A E. Sides C A and C E contain midpoints B and D, respectively. A line segment parallel to base A E is drawn from point B to D. Angle C A E is labeled as 4 and angle C E A is labeled as 3. Angle C B D is labeled as 1 and angle C D B is labeled as 2. Drag an expression or phrase to each box to complete the proof. Statement Reason ACE,BDAE Given Response area Corresponding Angles Postulate ACEBCD Response area CACB=CECD Definition of similar triangles CA=CB+BACE=CD+DE Segment Addition Postulate CB+BACB=CD+DECD Substitution Property of Equality CBCB+BACB=CDCD+DECD Addition of fractions 1+BACB=1+DECD Simplification of fractions Response area Subtraction Property of Equality How is GNP calculated? Question 15 of 30:Select the best answer for the question.Read the paragraph to answer the following question.John was nice looking, and he did well in school. However, John was also known for having a volatile personality. One day, when his track coach criticized him,John lost his temper. He stormed back to the locker room muttering under his breath. When the incident was reported to his parents, John was grounded for aweek. He was also required to write a letter of apology to his coach.15. Which of the following groups of words best defines the word volatile?A. Temperamental and impulsiveOB. Anxious and depressedOC. Bad-tempered and meanOD. Moody and thoughtful How do you know if a triangle is right acute or obtuse?