A water sport shop rents tubes, kayaks, canoes, skis, and rafts. The circle graph below shows the rentals from June.


There were 300 items rented in June. Based on the circle graph, how many of those rentals were tubes or rafts?
A.
180
B.
120
C.
150
D.
225

If the temperature dropped 22 degrees to -13 Degrees F, the temperature before the drop was 9 Degrees F.

Temperature drop refers to a decrease in the temperature of a system or environment.

This decrease can be measured in units of temperature such as degrees Celsius or Fahrenheit, and it can occur due to a variety of reasons such as changes in atmospheric conditions, the loss of heat from a body or system, or other physical processes.

The initial temperature is calculated by

initial temperature = final temperature + temperature drop

initial temperature = -13 + 22

initial temperature = 9

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Answer:

7

Step-by-step explanation:

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

If in ΔHIJ, m∠H = x - 1, m∠I = 2x + 5, and m∠J = 7x + 6.

The value of x is  17.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

Example:

Triangle ABC:

m∠A + m∠B + m∠C = 180

here, we have,

We have,

ΔHIJ

m∠H = x - 1

m∠I = 2x + 5

m∠J = 7x + 6

We know that,

The sum of the angles of the triangle is 180 degrees.

m∠H + m∠I + m∠J = 180

(x - 1) + (2x + 5) + (7x + 6) = 180

x - 1 + 2x + 5 + 7x + 6 = 180

10x + 10 = 180

Take 10 common.

10 (x + 1) = 180

Divide both sides by 10.

x + 1 = 180/10

x + 1 = 18

Subtract 1 on both sides.

x = 18 - 1

x = 17

Thus,

If in ΔHIJ,

m∠H = x - 1, m∠I = 2x + 5, m∠J = 7x + 6.

The value of x is  17.

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The amount paid for the surgery is given as follows:

$4,000.

The total amount Gina’s dad paid for her care was of:

$5,000.

The amounts are obtained applying the proportions in the context of this problem.

The coinsurance of 20% means that Gina's dad pays only 20% of the surgery's price after the deductible.

The deductible is given as follows:

$1,000.

Hence the price of the surgery after the deductible is of $1,000, and the amount paid for the surgery is given as follows:

0.2 x $2000 = $4,000.

Considering the deductible, the total amount paid is given as follows:

1000 + 4000 = $5,000.

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Answer: $20, $4,000, $5,020

Step-by-step explanation:

i got it right

Note that the statement that completes the above proof is "Definition of Angle Bisector"

An angle bisector of a triangle's angle divides the opposing side into two portions that are proportionate to the triangle's other two sides, according to the angle bisector theorem.

The angle bisector theorem asserts that if a point is on an angle's bisector, the point is equidistant from the angle's sides. The opposite of the angle bisector theorem asserts that if a point is in the interior of an angle and equidistant from the sides, it sits on the angle's bisector.

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The density of the block of wood is 1.04g/cm³

Density is the ratio of the mass of an object to its volume. It is a scalar quantity and it is measured in g/cm³ or kg/m³.

Density = mass/volume

Mass = 0.280kg = 0.280 × 1000 = 280g

volume = 270cm³

Density = mass/volume

Density = 280/270

= 1.04g/cm³

Because the density of the object is just slightly higher than the density of water which is 1g/cm³

, therefore the object will float in water.

For an object to float in water, it must be equal to the weight or density of the water

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Step-by-step explanation:

I just answered this.

the first group is consistent independent, because both equations are lines with different slope. so, they have 1 intersection, which is the solution.

the second group is consistent dependent, because both equations describe the same line.

multiply the second equation by -2, or divide the first equation by -2, and you see they are identical. multiplying an equation by a factor on both sides does not change the equation or function.

so, as both lines are identical, every point on the line is an intersection and solution. therefore, there are infinitely many solutions.

the third group is inconsistent.

they represent 2 lines with identical slope but different y-interceptions. so, they are parallel and have no intersection or solution at all.

just think : there is no pair of numbers x,y, for which their sum can have 2 different results.

For the equation  Y=5+3x the solution for x is (y-5)/3=x.

Two or more expressions with an Equal sign is called as Equation.

The given equation is Y=5+3x

y equal to five plus three times of x

In the given equation x and y are the variables.

We have to solve for variable x.

Subtract 5 from both the sides

y-5=3x

Divide both sides by 3

(y-5)/3=x

Hence, for the equation  Y=5+3x the solution for x is (y-5)/3=x.

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After performing the operation on the given number we get the fraction 3/2

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given here: multiplication of a whole number 3 and the fraction 1/2

When you multiply two fractions together, you're taking a part of a part. When you multiply a fraction by a whole number, you're taking multiple copies of that fraction. In both cases, the result is a new fraction that represents a different part of a whole.

Thus we have the following after simplifying

3×1/2=3/2

Hence, The required fraction is 3/2

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The three-digit numbers are:

A = 3

B = -1/3

C = -4/3

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

A C B

B A C

B C A

C A B

+  C B A

1  2 2 3

Now,

A = 3 _____(1)

B + C + A +B + B = 2

3B + C + A = 2

3B + C + 3 = 2

3B + C = -1

C + A + C + A + C = 2

3C + 2A = 2

Substituing A = 3.

3C + 6 = 2

3C = 2 - 6

3C = -4

C = -4/3 _____(2)

A + B + B + C = 1

Substituting A and C.

3 + 2B - 4/3 = 1

2B = 1 - 3 + 4/3

2B = (3 - 9 + 4)/3

2B = -2/3

B = -2/6

B = -1/3 ______(c)

Thus,

A = 3

B = -1/3

C = -4/3

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Answer:

231

Step-by-step explanation:

From the pie chart we see that the story artists constitute 20% of the total employee strength of 1540 employees and the interns constitute only 5% of that number

In actual values

Number of story artists = 1540 x 20% = 1540 x 20/100 = 308

Number of interns = 1540 x 5% = 1540 x 5/100 = 77

Difference = 308 - 77 = 231

Answer:

9x² - 64 square yards

Step-by-step explanation:

Area of a rectangle is L x W where

L = length
W = width

Letting
L = 3x + 8
W = 3x - 8

L x W = (3x + 8)(3x-8)

Using the identity (z + b)(a - b) = a² - b²

with a = 3x, b = 8

(3x+8)(3x-8) = (3x)² - (8)²

= 9x² - 64 square yards

Step-by-step explanation:

It is explained in the figure above.

Quadrilaterals are objects with four sides, such as parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

Sum of all interior angles of quadrilateral [tex]$=360^{\circ}$[/tex]

[tex]& \therefore 50+130+120+\mathrm{x}=300 \\[/tex]

[tex]& \mathrm{x}=60^0[/tex]

(b) [tex]& 90+a=180 \\[/tex]

a = 90

Sum of all angles of quad = 360

[tex]& x+70+60+90=360 \\[/tex]

[tex]& x=140^{\circ}[/tex]

(c) [tex]70+\mathrm{a}=180$ (Linear pair)[/tex]

a = 110

[tex]60+\mathrm{b}=180$ (Linear pair)[/tex]

[tex]$\mathrm{b}=120$[/tex]

Sum of measures of all angles of pentagon [tex]$=540^{\circ}$[/tex]

[tex]& \therefore 120+110+\mathrm{x}+\mathrm{x}+30=540 \\[/tex]

[tex]& 2 \mathrm{x}=280 \\[/tex]

[tex]& \mathrm{x}=140^{\circ}[/tex]

(d) Sum of all angles of pentagon 540

Given all angles are equal

[tex]& \therefore 5 x=540 \\[/tex]

[tex]& x=108^0[/tex]

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Answer:

h(6) = 13

Step-by-step explanation:

Functions! One of my favorites to answer :)

h(x) = 2x + 1

So, now we plug in h(6). Remember that when we replace the x with the number, we replace it in the right side of the equation as well:

h(6) = 2(6) + 1

Now we multiply 2 * 6:

h(6) = 12 + 1

Now 12 + 1:

h(6) = 13, final answer.

Hope this helps :D

Answer: 13

Step-by-step explanation:

h(x) = 2(x) + 1

h(6) = 2(6) + 1 = 12 + 1 = 13

There is not enough information to know whose Tennis ball would go further. Option D.

We know that the projectile is an object that can be able to move along a parabolic path. In this case, we have a catapult which the energy that launces forth the projectile is derived from the energy that have been stored in the spring of the catapult.

A catapult is a type of projectile weapon that uses mechanical energy to launch a projectile over a long distance as we can see in this problem.

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Velocity of tugboat is -5 miles/hour .

The velocity of an object is the change in position (displacement) over a time interval. Velocity includes both speed and direction, thus velocity can be either positive or negative while speed can only be positive.

Given,

Displacement by tugboat = - 1.5 miles

Time taken in travelling = 0.3 hours

Velocity = Displacement/ Time

              = - 1.5 / 0.3

              = - 5 miles/hours

Hence, -5 miles/hour is Velocity of tugboat.

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Answer:

y = 4

Step-by-step explanation:

the equation of the midline is the average of the sum of the maximum and minimum values.

maximum value = 6

minimum value = 2

then

y = (6 + 2) ÷ 2 = 8 ÷ 2 = 4

y = 4 ← equation of midline

The solution to the above problems are given as follows:

7) m∠A = 102°. m∠B = 102.°

8) ∠QSR = 59.6°

9) ∠ADC = 55°

7) Since both angles are vertical, it, therefore, means they are congruent. Ths,

4x + 6 = 7x-66; collect like terms

6+66 = 7x -4x

72 = 3x

x = 72/2

Thus,

x = 24

Plugging in the value of x back into the expressions, we have:

m∠A = 4x + 6

= 4(24) + 6

= 96+6

= 102°

Thus, m∠A = 102.

Since both angles are congruent, that means m∠B is also 102°

8) To find ∠QSR, we need to find x. Note that Angle on a Straight line sums up to 180°. Thus,

4x-8+34+72-x = 180

4x - 8 + 34 + 72 - x = 180

5x + 98 = 180

5x = 82

x = 16.4

So the solution is x = 16.4.

Since ∠QSR = 76-x

∠QSR = 76-16.4

Thus,

∠QSR = 59.6°

9) Applying the same rule (Angles on a straight line to the above problem, we can state that:

2x+1 + (x-7) = 180°;
To solve for x, we can simplify both sides of the equation and then isolate x:

2x + 1 + x - 7 = 180

3x - 6 = 180

3x = 186

x = 62

So the solution is x = 62.

Thus, ∠EDF = 62 - 7

= 55°

since  ∠EDF  and  ∠ADC are opposite angles, and opposite angles are congruent,

∠ADC = 55°

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Answer:

3hrs to paint by Mary

8hr for Brian to paint

so together, Brian and Mary mean you add the two

together 3hrs

and 8hrs

equals 11 hrs

3+8=11

By the given explanation,

It is proven that in given right angle triangles a² = cx.

The angles that are identical to each other are known as Congruent angles. The measure of these concurrent angles is always equal to each other.

They can be acute, obtuse, exterior, or interior angles because the congruence of angles is unaffected by the type of angle. As we know a right angle is 90° all right angles are congruent angles.

Here we have

Two right-angle triangles MOP and MNO

Measurements of Δ MNO side are a, b, and c is the hypotenuse    

Measurements of Δ MOP sides are a, x, and OP is the hypotenuse    

Here we need to prove that a² = c x  

We can prove its as follows

As we know all right angles are concurrent

Statement                            Reason

=> ∠NOM ≅ ∠OPM              [ ∵ right-angles are concurrent ]  

=> ∠OMN≅ ∠PMO               [ ∵ Common angle ]  

=> ΔMOP ~ ΔMNO                   [ By Angle - Angle - Angle criteria ]

Since ΔMOP ~ ΔMNO        

=> a/x = c/a                         [ ratio of the corresponding side ]  

=> a² = cx                            [ Corss multiplication ]

Therefore,

It is proven that in give right angle triangles a² = cx.

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Answer:

42?

Step-by-step explanation:

The area enclosed by the track is 7,530.64 m².

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know, The area of a circle is πr² and the area of a rectangle is (length×width).

By observing the diagram the total area enclosed by the track is the

sum of the area of a rectangle having a length of 104m and a complete circle having a diameter(2r) of 52 m and the diameter is equal to the width of the rectangle.

Therefore, The area of the track is,

= (104×52) + π(26)².

= 5408 + 2,122.64 m².

= 7,530.64 m².

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Answer:

x³ - 4x² + 3x - 8. is the answer.

The estimated area of Laurens's circle is 642 squared.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

Parker:

Area = 40 squared

This means,

πr² = 40

r² = 40/3.14

r² = 12.74

r = √12.74

r = 3.6

Laurens:

r = 4 x 3.6

r = 14.3

Area = πr²

Area = 3.14 x 14.3 x 14.3

Area = 642

Thus,

Laurens's circle area is 642 squared.

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Something can be described as a function if there is only 1 of each number in the input or x.

For example: (9,6) and (9,3) would not be a function because there are two 9’s as the input.

So, for this problem there are two 3’s meaning this is NOT function because there are two outputs for the same number.

Your answer is going to be D.

Answer:

Determine the probability that a student studied for exactly 1 hour. Round to the nearest hundredth.

0.23

If P(chocolate chip) = 0.25, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.

Likely

Compare the probabilities and interpret the likelihood. Which statement is true?

Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)

Joseph has a bag filled with 3 red, 3 green, 15 yellow, and 9 purple marbles. Determine P(not red) when choosing one marble from the bag.

90%

A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.

Outcome Frequency

Heart 7

Spade 3

Club 6

Diamond 4

Determine the experimental probability of drawing a spade.

0.15

A spinner with repeated colors numbered from 1 to 8 is shown.

Sections 1 and 8 are purple.

Sections 2 and 3 are yellow.

Sections 4, 5, and 6 are blue.

Section 7 is red.

Determine the theoretical probability of the spinner not landing on blue, P(not blue).

0.375

A spinner with repeated colors numbered from 1 to 8 is shown.

Sections 1 and 8 are purple.

Sections 2 and 3 are yellow.

Sections 4, 5, and 6 are blue.

Section 7 is orange.

Which statement about probability is true?

The probability of landing on orange is greater than the probability of landing on purple.

List the sample space for rolling a fair eight-sided die.

S = {1, 2, 3, 4, 5, 6, 7, 8}

There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials.

Outcome Frequency

Brown 13

Black 9

Green 7

Gold 11

Likely

Equally likely and unlikely

Which event will have a sample space of S = {h, t}?

Flipping a fair, two-sided coin

Julia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs. What is the correct sample space for the gumballs in her bag?

Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape

Answer:

Improper: 7/4

Mixed: 1 3/4

Step-by-step explanation:

Each little pie slice shape is a fourth (there are 4 in one circle)

Count them. In total there are 7. There are seven pie slices. There are seven fourths.

7/4

This is called an improper fraction because the bigger number is on top and the smaller number is below.

If you consider one circle to be a "whole" then you have one whole and 3/4.

1 3/4

This is a mixed number because it has a whole part and a fraction part.

The total revenue can be calculated as "2.50a" dollars.

What is the dozen?

A dozen is a grouping of twelve objects, shapes, or numbers. It is abbreviated as doz or dz. Dozen is one of the most primitive customary units of numbers. The number system with the base number 12 is called duodecimal or dozenal.

In this scenario, Adam is selling pencils in dozens and the price he charges for each dozen is $2.50.

To calculate the total revenue, we need to multiply the number of dozens sold (represented by "a") with the price per dozen ($2.50).

The expression "2.50a" represents this calculation, where "a" represents the number of dozens sold and "2.50" represents the price per dozen.

Hence, the total revenue can be calculated as "2.50a" dollars.

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Answer: 48$

Step-by-step explanation: well 20% of 40$ is 8$ so the total cost is 48$ that he payed

Answer:

$48.00

Step-by-step explanation: