Given ∠4≅∠14, which lines, if any, must be parallel based on the given information? Justify your conclusion. a∥b, Converse of the Same-Side Interior Angles Theorem a∥b, Converse of the Alternate Interior Angles Theorem a∥b, Converse of the Corresponding Angles Theorem not enough information to make a conclusion Two horizontal, parallel lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal parallel lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.

Answers

Answer 1

Answer:

a∥b, Converse of the Alternate Interior Angles Theorem


Related Questions

Larry is reroofing his house. Each side of the roof measures 14 feet from the eave to the ridge. The horizontal distance between the eaves is
20 feet.
x
14 feet
14 feet
20 feet
The measure of the angle between the two sides of the roof is approximately
Reset
Next

Answers

Answer:

  91.2°

Step-by-step explanation:

There are several ways to find the a.pex angle of an isosceles triangle with all side lengths given. One of them is using the Law of Cosines:

  c² = a² +b² -2ab·cos(C)

Solving for the angle C, we find ...

  C = arccos((a² +b² -c²)/(2ab))

__

Here, we have a=b=14 and c=20. The angle is ...

  C = arccos((14² +14² -20²)/(2·14·14)) = arccos(-8/392)

  C ≈ 91.16938°

The interior angle at the peak of the roof is about 91.2°.

SOHCAHTOA geometry
Help quick please!
How would i solve this?

Answers

Answer: 32

Step-by-step explanation:

48 - 16 is 32

A grocer wants to mix two kinds of candy. One kind sells for $1.15 per pound, and the other sells for
$2.75 per pound. He wants to mix a total of 24 pounds and sell it for $1.30 per pound. How many
pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)

Answers

Hey there!

This grocer is mixing two kinds of coffee. I always love the smell of coffee!

We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.

Altogether there are 24 pounds of coffee he is selling.

The algebraic equation would be x + y = 24

At $1.30 per pound, he will make 24 * $1.30 = $31.2

So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?

The algebraic equation would be 1.15x + 2.75y = 31.2

We now have two equations :

x+y = 24

1.15x + 2.75y = 31.2

Substituting x= 24 -y in the second equation gives us

1.15(24-y) + 2.75y = 31.2

27.6 - 1.15y + 2.75y = 31.2

27.6 + 1.6y = 31.2

1.6y = 31.2 - 27.6

0.3y= 3.6

y= 2.25

x + y = 24

x + 2.25 = 24

x = 24 -2.25

x = 21.75

If y=2.25, then x= 21.75 as well.

So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.

~Done~

A house owner pays a property tax of $10 for every $1,000 of assessed property value. What is the tax for a home assessed at $150,000.

Answers

Tax the assesed home would increase the total amount paid

The tax of a home assesed at $150,000 is $1500

How to determine the tax amount?

The given parameter can be represented using the following ratio:

Ratio = Tax : Amount

So, we have:

$10 : $1000 = Tax : $150000

Express as fraction

10/1000 = Tax/$150000

Multiply both sides by $150000

Tax = $1500

Hence, the tax of a home assesed at $150,000 is $1500

Read more about tax at:

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the average car on the highway travels 65 miles per hour. if someone has been driving for 4.5 hours how many miles have they driven (Help)

Answers

Answer:

292.5

Step-by-step explanation:

Since they are driving 65 miles for every hour, you can multiply the 65 miles by 4.5

So:

65 * 4.5 = 292.5

When do you say that a given quadrilateral is a parallelogram?

Answers

Answer:

If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.

Step-by-step explanation:

hope that helps

which statement is true regarding the graphed functions?

f(0) = 2 and g(-2) = 0
f(0) = 4 and g(-2) = 4
f(2) = 0 and g(-2) = 0
f(-2) = 0 and g(-2) = 0

Answers

point (2 ; 0) on Cf so f(2) = 0

point (0 ; 4) on Cf so f(0) = 4

point (-2 ; 0) on Cg so g(-2) = 0

Which set shows an average of 8?
A) A
B) B
C) A and B
D) none of the above

Answers

Answer: D

Step-by-step explanation:

None of the above

Answer:

Step-by-step explanation:

d

Find the volume. Use 3.14 for π where necessary. Round the answer to two decimal places.

Answers

Answer:

25.12 feet cubed ~ 25ft^3

Step-by-step explanation:

You're doing a volume for a cone.

Volume of cone formula: 1/3 π r^2 h

You have given me the diameter of 4ft

Height of 6ft.

In order to solve this, you need to divide 4ft by 2ft because we need the radius rather than the diameter.

**The radius is half of the diameter.**

Our new radius is 2ft.

Formula: 1/3π2^2(6)

Now do the exponent first, 2 to the second power or 2 squared is 4.

You need to pull out your calculator.

Steps to calculate the volume:

Do 1 divided by 3 first

Then multiply that by 3.14

Multiply 4

Finally multiply 6

Your Volume for the cone is 25.12 feet cubed

I need the answer to this quick pls​

Answers

Answer:

Option A

Step-by-step explanation:

The median of the trapezoid is the line connecting the midpoints of the legs.The median of the trapezoid can be caculated by the fromula,

[tex]\bf Median = \dfrac{a +b}{2}[/tex]

Here, a and b are the base (parallel sides)

a = 13 inches & b = 19 inches

[tex]\bf Median = \dfrac{13+19}{2}[/tex]

              [tex]= \dfrac{32}{2}\\\\\\= 16 \ inches[/tex]

An Eiffel Tower mural is 2 meters high and 0.77 meters wide. If the actual tower is 125 meters wide, how tall is it to the nearest meter?

Answers

If the actual tower is 125 meters wide, then the height will be approximately 325m

Similarity ratio of shapes

The ratio of the similar sides of the shape is equal to a constant.

If an Eiffel Tower mural is 2 meters high and 0.77 meters wide the  actual tower is 125 meters wide, then the new height will be expressed as;
2/0.77 = H/125

Cross multiply

0.77H = 2 * 125
0.77H = 250
H = 250/0.77
H = 325m

This means that if the actual tower is 125 meters wide, then the height will be approximately 325m

Learn more on similar shapes here: https://brainly.com/question/2644832

Are you the person you want to be?

i know it's not math but please answer

Answers

Answer:

yes because no one is perfect than god.

Show how you got the answer, giving brainliest :)

Answers

Answer:

Step-by-step explanation:

Volume of a rectangular prism: l*w*hVolume of a triangular prism: 1/2*b*h*l

For the rectangular prism:

L (length) = 5 cmW (width) = 8 cmH (height) = 3 cm

V = l*w*h <== substitute the values (from above) for the variables

V = 5*8*3

V = 40*3

V = 120 cm^3 (cubed)

For the triangular prism:

B (base) = 6 cmH (height) = 3 cmL (length) = 2 cm

V = 1/2*b*h*l <== substitute the values (from above) for the variables

V = 1/2*6*3*2

V = 3*3*2

V = 9*2

V = 18 cm^3 (cubed)

Hope helps!

What are the coordinates of C' -3, 2 after it has been transformed using the rule (x, y)→(x + 4, y - 3)?

Answers

x=-3+4

y=2-3

So it will be (1;-1)

How do you figure out which statement is true?

Answers

Answer:

What question are you talking about though

Which expression has a value 48?
.A) (4 + 5): 32-9 +3
.B) 4+ 5 • (32 - 9) + 3
.C) 4+ 5.3?(-9+3)
.D) 4+5•3²-9= 3


20 brainly points asap​

Answers

Hey there!

Option A.

(4 + 5) * 3^2 - 9 ÷ 3^2

= 9 * 9 - 9 ÷ 9

= 81 - 1
= 80


Thus, that answer is: [incorrect]

Option B.
4 + 5 * (3^2 - 9) + 3^2

= 4 + 5 * (9 - 9) + 9

= 4 + 5 * (0) + 9

= 4 + 5(0) + 9

= 4 + 0 + 9

= 4 + 9

= 13

Thus, that answer is also [incorrect]

Option C.

4 + 5 * 3^2(-9 ÷ 3^2)

= 4 + 5 * 3^2(-9 ÷ 9)

= 4 + 5 * 3^2(-1)

= 4 + 5 * 9(-9)

= 4 + 5(9) * -1

= 4 + 45 * -1

= 4 - 45

= -41

Thus, that answer is also [incorrect]


Option D.
4 + 5 * 3^2 - 9 ÷ 3^2

= 4 + 5(9) - 9 ÷ 9

= 4 + 45 - 9 ÷ 9

= 49 - 9 ÷ 9

= 49 - 1

= 48

Therefore, your answer is: Option D.

Good luck on your assignment & enjoy your day l!


~Amphitrite1040:)

Answer:

Option D

Step-by-step explanation:

To find out which expression has a value of 48, we need to recall the PEMDAS (where: P = Parenthesis, E = Exponents, M/D = Multiplication or Division, A/S = Addition or Subtraction).

A) [4 + 5] × 3² - 9 ÷ 3²

First, simplify the expression in the parenthesis as PEMDAS

⇒ [9] × 3² - 9 ÷ 3²

Pull the "9" out of the parenthesis

⇒ 9 × 3² - 9 ÷ 3²

Simplify the exponents as PEMDAS

⇒ 9 × 9 - 9 ÷ 9

Multiply the first two terms in the expression as PEMDAS

⇒ 81 - 9 ÷ 9

Divide the last two terms as PEMDAS

⇒ 81 - 1

Finally, simplify the expression.

⇒ 80

⇒ 48 ≠ 80

B) 4 + 5 × (3² - 9) ÷ 3²

First, simplify the expression in the parenthesis as PEMDAS.

We can see here that the expression in the parenthesis includes a constant with a negative sign and an exponent. To simplify the expression, we need to simplify the exponent. Once the exponent is simplified, we can simplify the expression in the parenthesis.

4 + 5 × (3² - 9) ÷ 3²

4 + 5 × (9 - 9) ÷ 3²

4 + 5 × (0) ÷ 3²

Pull the "0" out of the parenthesis

4 + 5 × 0 ÷ 3²

Simplify the exponent as PEMDAS

4 + 5 × 0 ÷ 9

Multiply the middle two terms as PEMDAS

4 + 0 ÷ 9

Divide the last two terms as PEMDAS

4 + 0

Add the two terms in the expression as PEMDAS

4

4 ≠ 48

C) 4 + 5 × 3²(-9 ÷ 3²)

First, simplify the expression in the parenthesis as PEMDAS

⇒ 4 + 5 × 3²(-9 ÷ 3²)

⇒ 4 + 5 × 3²(-9 ÷ 9)

⇒ 4 + 5 × 3²(-1)

*3²(-1) can also be written as 3² × -1*

⇒ 4 + 5 × 3² × -1

Simplify the exponent as PEMDAS

⇒ 4 + 5 × 9 × -1

Multiply the last three terms as PEMDAS

⇒ 4 + 5 × 9 × -1

⇒ 4 + (-45)

Add/Subtract the last two terms as PEMDAS

⇒ 4 - 45

⇒ -41

D) 4 + 5 × 3² - 9 ÷ 3²

Since there are no parenthesis in the expression, we can start simplifying this expression by simplifying the exponents.

⇒ 4 + 5 × 3² - 9 ÷ 3²

⇒ 4 + 5 × 9 - 9 ÷ 9

⇒ 4 + 5 × 9 - 9 ÷ 9

Multiply the second and the third terms as PEMDAS

⇒ 4 + 45 - 9 ÷ 9

Divide the last two terms as PEMDAS

⇒ 4 + 45 - 1

Add/Subtract the terms as PEMDAS

⇒ 4 + 44

⇒ 48

⇒ 48 = 48 ✔✔

In conclusion, we can say that option D is correct because the expression of Option D has a value of 48.

An airline is planning its staffing needs for the next year. If a new route is​ approved, it will hire 837 new employees. If a new route is not​ granted, it will hire only 199 new employees. If the probability that a new route will be granted is 0.37, what is the expected number of new employees to be hired by the​ airline?

Answers

Considering a discrete distribution, it is found that the expected number of new employees to be hired by the​ airline is of 446.16.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering the situation described in the text, the distribution is given by:

P(X = 837) = 0.37.P(X = 199) = 0.63.

Hence, the expected value is given by:

E(X) = 0.37(867) + 0.63(199) = 446.16.

More can be learned about discrete distributions at https://brainly.com/question/24855677

Justin runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
miles

Answers

Answer:

2.8 Miles

Step-by-step explanation:

If 7m is 60mins

How many miles is 24 mins

solution:

take unknown miles to be 'x'

7m=60mins

Xm=24mins

cross multiply

7×24/60=2.8m

x=2.8miles

2n² + 2n - 12 = 0 in quadratic formula?

Answers

Answer:

Step-by-step explanation:

2n² + 2n - 12 = 0

in quadratic formula = n = 2, -3

[tex]2n^2+2n-12=0\\\\\implies n^2 +n-6=0\\\text{Apply quadratic formula,}~ n = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}. ~\\\\\text{In this case,}~ a=1,b=1, c= -6\\\\n=\dfrac{-1\pm\sqrt{1^2-4\cdot 1 \cdot -6}}{2\cdot 1}\\\\~~~=\dfrac{-1\pm\sqrt{1+24}}{2}\\\\~~~=\dfrac{-1\pm\sqrt{25}}{2}\\\\~~~=\dfrac{-1\pm5}{2}\\\\\text{Hence} ~ n=\dfrac{-1+5}{2} = 2 ~~\text{or}~~n = \dfrac{-1-5}2 = -3[/tex]

help for 40 points and brainliest

Answers

[tex]\sf 2^{-6}[/tex]

these two options apply

[tex]\rightarrow \sf \dfrac{1}{2^6}[/tex]

[tex]\rightarrow \sf 2^{-2} \ * \ 2^4 \ * \ 2^{-8}[/tex]

in decimals : 0.015625

Answer:

Option C and D

Step-by-step explanation:

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Example:

If the given exponent is a⁻ᵇ, then the result will be 1/aᵇ.

This exponent includes a negative sign. To make the exponent positive, take the exponent's reciprocal and change the negative sign to a positive sign. The same will be done to the given expression.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

First, take the exponent's reciprocal as said above.

⇒ [tex]2^{-6}[/tex]

⇒ [tex]\frac{1}{2^{-6} }[/tex]

Now, change the exponent's sign.

⇒ [tex]\frac{1}{2^{-6} }[/tex]

⇒ [tex]\frac{1}{2^{6} }[/tex]

Now, simplify the term.

⇒ [tex]\frac{1}{2^{6} }[/tex]

⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2} }[/tex]

⇒ [tex]\frac{1}{8 \times 8}[/tex]

⇒ [tex]\frac{1}{64}[/tex]

Using the simplified result we obtained, let's verify all the options to see which is equivalent to the term.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

A)------------------------------------------------------------------------------------------------------

Keep in mind that the exponent is the number of times the base needs to multiply itself.

[tex]-2^{6} \rightarrow -2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]

NOTE: If there are even number of "-", then the result should be positive. If there are odd number of "-", then the result should be negative.

[tex]-2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]

⇒ [tex]2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]

⇒ [tex]64[/tex]

[tex]-2^{6} = 64 \neq \frac{1}{64}[/tex]

B)------------------------------------------------------------------------------------------------------

Since -64 is already a simplified term, we can compare this with the simplified result.

[tex]-64 \neq \frac{1}{64}[/tex]

C)------------------------------------------------------------------------------------------------------

[tex]\frac{1}{2^{6}}[/tex]

⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 }[/tex]

⇒ [tex]\frac{1}{8 \times 8 }[/tex]

⇒ [tex]\frac{1}{64}[/tex]

[tex]\frac{1}{2^{6} } = \frac{1}{64} = \frac{1}{64}[/tex]

D)------------------------------------------------------------------------------------------------------

[tex]2^{-2} \times 2^{4} \times 2^{-8}[/tex]

⇒ [tex]\frac{1}{2^{2}} } \times 16 \times \frac{1}{2^{8} }[/tex]

⇒ [tex]\frac{1}{4} \times 16 \times \frac{1}{256}[/tex]

⇒ [tex]\frac{1}{4} \times 1 \times \frac{1}{16}[/tex]                                                                               [16² = 256]

⇒ [tex]\frac{1}{4} \times \frac{1}{16}[/tex]

⇒ [tex]\frac{1}{64}[/tex]

[tex]2^{-2} \times 2^{4} \times 2^{-8} = \frac{1}{64} = \frac{1}{64}[/tex]

E)------------------------------------------------------------------------------------------------------

[tex]2^{3} \times 2^{-2}[/tex]

⇒ [tex]2^{3 - 2}[/tex]

⇒ [tex]2^{1} = 2[/tex]

[tex]2^{3} \times 2^{-2} = 2 \neq \frac{1}{64}[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

ABDE is a rectangle on coordinate axes, the sides of the rectangle are parallel to the axes,
Point C is the centre of the rectangle
What are the coordinates of B and D

Answers

The coordinates of B and D are the location of the vertices B and D in the rectangle

The coordinates of B and D are (55, 30) and (55, 14)

How to determine the coordinates of B and D?

From the figure of the rectangle, we have:

A = (25,30)

C = (40, 22)

Point B has the same y-coordinate as point A

So, we have:

B = (x, 30)

The x-coordinate is then calculated as:

Bx = 2Cx - Ax

This gives

Bx = 2*40 - 25

Bx = 55

So, the coordinates of B are:

B = (55, 30)

Point D has the same x-coordinate as point B

So, we have:

D = (55, y)

The y-coordinate is then calculated as:

Dy = Cy - (By - Cy)

This gives

Dy = 22 - (30 - 22)

Dy = 14

So, the coordinates of B are:

D = (55, 14)

Hence, the coordinates of B and D are (55, 30) and (55, 14)

Read more about rectangles at:

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"My sales volume has increased from 50 units a day to 62. That is a __________ increase."

Answers

Answer:

If your sales volume is increasing from 50 to 62 units a day. This is a 24% increase.

Step-by-step explanation:

To find this answer this is what I did:

[tex]\frac{(62-50)}{50} * 100 = (?)\\\\=\frac{12}{50} *100\\\\=24%[/tex]

24 = 24%

Hence, the percent increase from 50 to 62 is 24%.

** the "*" in the problem above represents multiplication **

I hope that this answer helps to answer your question completely. If there are any further questions please put them in the comments below and I will try my best to answer them If not, please have a great rest of your day/night.

Answer:

24%

If your sales volume is increasing from 50 to 62 units a day. This is a 24% increase. Step-by-step explanation:To find this answer this is what I did:24 = 24% Hence, the percent increase from 50 to 62 is 24%

How is the Golden Ratio calculated from Fibonacci sequence? Please help me tyyy <3

Answers

Answer/Step-by-step explanation:

the fibonacci sequence is {1, 1, 2, 3, 5, 8, 13, 21, 34…} and in the visual for the Golden Ratio, if you look those are the those are the numbers that basically equals the golden ration, 1.618.

The time it takes me to wash the dishes is uniformly distributed between 7 minutes and 16 minutes. What is the probability that washing dishes tonight will take me between 8 and 15 minutes?

Answers

Answer as a fraction = 7/9 which is exact

Answer in decimal form = 0.778 which is approximate

=========================================================

Explanation:

The time gap from 8 to 15 is 15-8 = 7 minutes.

The time gap from 7 to 16 is 16-7 = 9 minutes.

Divide those differences: 7/9 = 0.778 approximately

The 7's go on forever, but rounding at some point will bump the last 7 to an 8.

A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If
x machines are made, then the unit cost is given by the function C(x) = 0.5x^2- 150x +20,960. How many machines must be made to minimize the unit cost?
Do not round your answer.

Answers

The supply equation of the company is an illustration of a quadratic function

The number of machines that must be made to minimize the unit cost is 150

How to determine the number of units?

The equation of the function is given as:

[tex]C(x) = 0.5x^2- 150x +20960[/tex]

Differentiate the function

[tex]C'(x) = x - 150[/tex]

Set to 0

[tex]x - 150 = 0[/tex]

Add 150 to both sides of the equation

[tex]x = 150[/tex]

Hence, the number of machines that must be made to minimize the unit cost is 150

Read more about quadratic functions at:

https://brainly.com/question/1214333

PLEASE HELP MATH. WILL GIVE BRAINLIST AND TONS OF POINTS

Answers

Answer:

[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]

[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]

[tex]\sf 3.78\times 10^{4}[/tex]

Step-by-step explanation:

Scientific notation:  [tex]\sf a \times 10^b[/tex]

(where [tex]\sf 1 \leq |a| < 10[/tex] and b is the power of 10 required so that the notation is equivalent to the original number)

Move the decimal point back 13 places then multiply by [tex]\sf 10^{13}[/tex]:

[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]

Move the decimal point back 8 places then multiply by [tex]\sf 10^{8}[/tex]:

[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]

Divide the total debt by the population to calculate how much each person would owe if the debt was divided equally among everyone in the US:

[tex]\sf \dfrac{11,600,000,000,000}{307,000,000}=\dfrac{1.16 \times 10^{13}}{3.07 \times 10^{8}}=\dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}[/tex]

Apply exponent rule [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]\sf \dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}=0.3778501629... \times 10^{13-8}[/tex]

                   [tex]\sf =0.378\times 10^{5}[/tex]

                   [tex]\sf =3.78\times 10^{4}[/tex]

(remembering that the first part "0.378" needs to be equal to or greater than 1, but smaller than 10)

Which mathematical word describes both 27x and 6x in the expression 27x+6x

coefficient

difference

difference

sum

sum

term

term

Answers

The mathematical word describing  both 27x and 6x in the expression  is "addition" or "sum"

How to use mathematical word to describe an expression

The mathematical expression is 27x + 6x.

Mathematical expression are combinations of numbers and variables ordered with operations.

Mathematical expression is a combination of numbers, variables, operators (such as addition, subtraction, multiplication or division etc.).

For the given case, the terms are 27x and 6x and the expression formed from them is 27x + 6x.

This simply implies both terms are summed together to give the expression 27x + 6x.

Therefore, the mathematical word describing  both 27x and 6x in the expression  is "addition" or "sum"

learn more on mathematical expression here: https://brainly.com/question/26848264

A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2938 MB. How many downloads of the standard version were there?

Answers

Answer:

  260

Step-by-step explanation:

The relationship between the number of standard versions and the total download can be written as ...

  2.3n +4.5(2n) = 2938 . . . . . twice as many high-quality songs (2n)

  11.3n = 2938 . . . . . . . . . simplify

  n = 2938/11.3 = 260 . . . divide by the coefficient of n

There were 260 downloads of the standard version.

4
Ms. Thorson bought a piece of lace that was 3 feet long. She cuts off as many pieces as possible that are 9 inches long. Will Ms. Thorson have any lace left over? Show and explain your work.

Answers

Answer:

No

Step-by-step explanation:

1 foot = 12 in.

3 feet = 36 in.

36 / 9 is 4

4 is an integer

Therefore, none will be left

Answer:

No , there will not be any piece left

Step-by-step explanation:

No of feet :- 3 feet which is 36 inches

If we cut of 36 inches in part each of 9 inch we will get 4 parts of 9 inch

36/9 :- 4

4 is complete no. , so there wouldn't be any piece left .

Joey has completed a portion of his weekend chores. This portion is represented by the point on the number line below. What percentage is represented by the point on the number line?

A. 12.5%
B. 60%
C. 75%
D. 80%

Answers

Answer:

C - 75%

Step-by-step explanation:

6/8 = 75%

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