Here are 36 carpenters on a construction crew. On a certain day, 29 carpenters were present. Which proportion can be used to determine the percent of carpenters that were present?

Step-by-step explanation:

y is directly proportional to x

y = kx

k represents the constant of proportionality.

when y = 20 and x = 8:

20 = 8k

Dividing both sides by 8 gives:

k = 2.5

Hence when x = 3.

y = 2.5(3)

y = 7.5 .

The value of y when x=3 is 7.5

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

y is directly proportional to x.

and, when x = 8, y = 20.

So, using proportion

8/20 = 3/y

8y = 60

y= 60/8

y= 7.5

Hence, the value of y is 7.5

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Answer:

x=6

alternative exterior angles

Step-by-step explanation:

to prove y and z parallel then the two angles must be equal:

11x-3=4x+39

11x-4x=39+3

7x=42

x=42/7

x=6

Answer:

9 and 13

Step-by-step explanation:

Answer:

13 and 9

Step-by-step explanation:

sum of num: 13+9 = 22

sum of square: 13²+9² = 250

169+81 = 250

Answer:

1500+500=15500

Step-by-step explanation:

PRT/100

=1500×2.5×4/100

=150

15000+500=£15500

15500×100=1,550,000penny

Answer: 1655.72

Step-by-step explanation:

1500( 1 + 0.025)^4 = 1655.72

Answer:

Answer B. 12x = 180

Step-by-step explanation:

Angles in a Triangle

The sum of the interior angles in a triangle is 180°.

We are given all the angles of the triangle shown in the figure, all of them as a function of x.

Since the sum is 180°:

2x + 4x + 10 + 6x - 10 = 180

Collecting like terms:

12x = 180

This is the equation to find the value of x.

Answer B. 12x = 180

Answer:

1) Step 3: S = $136.49 - $3.0625 × 1/4

2) By completing the operations within the parenthesis in Step 2, before multiplying the result by 1/4

Step-by-step explanation:

1) From the given information, we have;

The amount amount Maria earns as a pet sitter = $32.75

The number of weeks Maria worked as a pet sitter = 2 weeks

The amount Mariah previously saved = $70.99

The amount Maria spent = $12.25

The amount Mariah put in her savings account = 1/4 of the remaining (balance) money

Therefore, we have;

The amount placed in Mariah's savings account, S, is given as follows;

Step 1: S = [($32.75 × 2) + $70.99 - $12.25] × 1/4

Step 2: S = [($65.5 × 2) + $70.99 - $12.25] × 1/4

Step 3: S = [($136.49) - $12.25] × 1/4

Step 4: S = $124.24 × 1/4

Step 5: S = $31.06

The amount Mariah puts in her saving's account = $31.06 and the step Mariah first makes an error is Step 3 where what she put down was as follows;

Step 3: S = $136.49 - $3.0625 × 1/4

2) She can correct the error by completing the calculation of the operation within the parenthesis in Step 2, before multiplying by the factor 1/4.

Answer:

Step-by-step explanation:

16 : 12 = 4: 3

The answer is B

Anwser:

Step by step explanation: 8:6

32:24

Answer:

x = 6

Step-by-step explanation:

In order for m to be parallel to n 16x - 6 would have to equal 90. We can demonstrate that using an equation.

16x - 6 = 90

Let's solve for x:

First add 6 to both sides to isolate the 16x:

16x - 6 + 6 = 90 + 6

16x = 96

Now divide both sides by 16 to isolate the x:

16x/16 = 96/16

x = 6

The value of x has to be 6 in order for m to be parallel to n.

Answer:

49 degrees.

Step-by-step explanation:

The interior angles of a triangle always add up to 180 degrees. 180-102-29=49.

Answer:

Answer : 49 degrees

Step-by-step explanation:

exp: 180 - 102- 29 = 49

Answer:

[see below]

Step-by-step explanation:

The difference between the record high and low temperatures in Charlotte is 109℉.  We are given the record low temperature of -5℉.

[tex]h - 5 = 109[/tex]

Let 'h' be the high temperature.

[tex]h-5=109\\\\h-5+5=109+5\\\\\boxed{h=114}[/tex]

Hope this helps.

If The difference between the record high and low temperatures in Charlotte, NC, is 109℉. The record low temperature was −5℉.Then 104 ℉  was the record high temperature.

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

Given,

The difference between the record high and low temperatures in Charlotte, NC, is 109℉.

The record low temperature was −5℉.

We need to find record high temperature

H-(-5)=109

H+5=109

H=109-5

H=104

Hence the record high temperature is 104.

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Answer:

x = -2 and y = 0

Step-by-step explanation:

5x + y = -10

4x - 7y = -8

Rearrange the first equation to equal y.

5x + y = -10

y = -10 - 5x

Replace y in the second equation with the first equation.

4x - 7y = -8

4x - 7(-10 - 5x) = -8

4x - (-70 -35x) = -8

4x + 70 + 35x = -8

Rearrange the equation to find x.

4x + 35x = -8 - 70

39x = -78

x = -2

Now that you know x, use the rearranged first equation to find y.

y = -10 - 5x

y = -10 - 5(-2)

y = -10 + 10

y = 0

Answer:

17) 4 inches

18) 14 inches

19) 162 inches

20) 30 inches

Step-by-step explanation:

For the first two, you use the formula  π× (radius)². Since you have the area, divide it by two then find the square root. For the second two, you just divide the by pi.

Answer:

17) D=4in

18)D=14yd

19)D=162yd

20)D=30yd

Step-by-step explanation:

17)

[tex]d = 2 \times \sqrt{4} = 4[/tex]

Answer:

That sounds like an awesome book idea; then you go on to explain the adventures in the library.

Step-by-step explanation:

Answer:

What are the codes....or are you just putting that out there?

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

8÷32

=0.25 x 100

=25%

Answer:

Step-by-step explanation:

[tex]\dfrac{8}{32}\cdot 100\%=\dfrac14\cdot 100\%=25\%[/tex]

Answer:

18 + 0.08B ≥ 75

Step-by-step explanation:

Answer:

the y intercept is where is starts (up and down) slope is how much you run up, or down and how much you run

Step-by-step explanation:

For example the third croses at 5 thats the y-intercept. Know notice how you go up once and run two blocks for the slope. So the slope is 1/2x.

Answer for #3 y=1/2x+5

Note. Anytime you are running down the slope will be negative. If the line points up then its positive.

Answers should be in this form: 1) positive 2. negative 3. positive 4. negative 5. positive 6. negative

Answer:

1. slope = 4 over 2(2), y int = -8

2. slope = 2 over 3 , y int = 2

3. slope = 3 over 6(1/2), y int = 5

4. slope = 1 over 3, y int = -3

5. slope = 3 over 3(1) ,y int = 0

6. slope = 2 over 3 ,y int = -4

Step-by-step explanation:

The numbers in the () is the simplified slope version if there is no () it cannot be simplified

Answer:

A≈8758.26

Step-by-step explanation:

=π·52.8[tex]{2}[/tex]

value of pi is approximately 3.14 so

3.14*52.8[tex]{2}[/tex]

≈8758.26

Answer:

[tex]221.8 cm^{2}[/tex]

Step-by-step explanation:

[tex]C=2\pi r\\A=\pi r^{2}[/tex]

[tex]2\pi r=52.8\\r=\frac{52.8}{2\pi }[/tex]

[tex]A=\pi ((\frac{52.8}{2\pi }) ^{2} )[/tex]

[tex]A=\pi (70.61681215)[/tex]

[tex]A = 221.8 cm^{2}[/tex]

Answer:

Step-by-step explanation:

hehe good luck loser T^T

Answer:

1. Cheese burger, French fries (regular), Ice cream (regular), any of the beverages.

2. Fried Chicken, Macaroni soup, Mango pie, any of the beverages.

3. Cheese burger, French fries (regular), Ice cream (regular), any of the beverages, because, there are going to be 40 guests and that are a lot of people to feed so I would rather spend more money than on some random people who come to my 2 year old son.

4. PhP 222.2 repeated

Step-by-step explanation:

Answer:

E. 36

Step-by-step explanation:

You have to do a² + b² = c²

Plug in

15² + b² = 39²

225 + b² = 1521 (subtract 225 on both sides)

√b² = √1296 (square root on both sides)

b = 36

Hope this helps ya!

The length of the EF in the right-angle triangle is 36 units if the length of DF is 15 units the length of DE is 39 units option (E) is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle shown in the picture.

The length of DF = 15 units

The length of DE = 39 units

As we know, Pythagoras' theorem can be defined as the square of the hypotenuse in a right-angled triangle equal to the sum of the squares of the other two sides.

Applying Pythagoras theorem:

DE² = DF² + EF²

Plug the known values:

39² = 15² + EF²

1521 = 225 + EF²

EF² = 1296

EF = √1296

EF = 36 units

Thus, the length of the EF in the right-angle triangle is 36 units if the length of DF is 15 units the length of DE is 39 units option (E) is correct.

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Answer:  2160 cubic yards

Step-by-step explanation:

12*12*15= 2160

Answer:

Train B catches up with train A at 2.25 h

The two trains meet at 108 Km from the start

Step-by-step explanation:

Relative Speed

There are two trains, A and B leaving the same station. Train A leaves 45 minutes before train B at va=36 Km/h. Train B travels at vb=48 Km/h in the same direction, so they eventually meet.

i)

Calculate the head start of train A Xh, i.e. the distance it traveled in 45 minutes = 45/60=0.75 h.

[tex]X_h=36*0.75=27~Km[/tex]

When train A is 27 Km ahead, train B leaves the station. The relative speed between them is vb-ba=48 - 36 = 12 Km/h.

Thus, for train B to meet with train A, the head start must be traveled at the relative speed.

The time needed to do that is:

[tex]\displaystyle t=\frac{27~Km}{12~Km/h}[/tex]

t = 2.25 h

Train B catches up with train A at 2.25 h

ii) In the time calculated above, train B has traveled a distance of:

[tex]X_b=48~Km/h*2.25~h=108~Km[/tex]

The two trains meet at 108 Km from the start

Answer:

Step-by-step explanation:

y = (x + 3)(x - 3) ( x - 2/3)

y = (x + 3)(x - 3) (3x - 2)

The key point you want to study is that (3x - 2) does give a solution at x = 2/3. That's why I made the graph.

Answer:

No because it does no pass the vertical line test

Step-by-step explanation:

Answer:

A quadratic equation for the height of an object is written as:

h(t) = a*t^2 + b*t + c

We can derivate it with respect to the time to get the velocity:

v(t) = 2*a*t + b

We can derivate it with respect to the time to get the acceleration:

a(t) = 2*a

Then:

a = half of the acceleration. (the gravitational acceleration for problems like this)

b = initial vertical velocity.

c = initial height.

In our case we have:

h(t) = -16t^2 + 44t + 3.5

-16 is half of the acceleration, we know that the gravitational acceleration is:

g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.

44 is the initial vertical velocity of the ball  (44ft/s)

3.5 is the initial height. (3.5ft)

Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity

Answer:

a

Step-by-step explanation:

aa

Answer:

Option (A)

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Slope of the line passing through two points (0, 5) and (4, -7),

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{5+7}{0-4}[/tex]

   = -3

As slope of the line is negative, Options (A) and (B) will be the possible options.

Therefore, equation of the line passing through (4, -7) will be,

y - (-7) = -3(x - 4)

y + 7 = -3(x - 4)

Therefore, Option (A) will be the correct option.

Answer:

A

Step-by-step explanation: