Find the missing side length.
Assume that all intersecting sides meet at right angles,
Be sure to include the correct unit in your answer.
9 yd
7 yd
15 yd
F
5 yd
?
4 yd

Sum of the numerator and denominator = 18

If the denominator is increased by 2 , the fraction reduces to 1/3.

the fraction

Let the fraction be x/y.

⟹ x + y = 18

⟹ x = 18 - y -- equation (1)

And,

If the denominator is increased by 2 , the fraction reduces to 1/3.

⟹ x/y + 2 = 1/3

⟹ 3x = y + 2

Substitute the value of x from equation (1).

⟹ 3(18 - y) = y + 2

⟹ 54 - 3y = y + 2

⟹ 54 - 2 = y + 3y

⟹ 52 = 4y

⟹ 52/4 = y

⟹ 13 = y

Substitute the value of y in equation (1).

⟹ x = 18 - 13

⟹ x = 5

Therefore, the required fraction x/y is 5/13.

I hope it will help you.

Regards.

Answer:

Length is twice the breadth.

→ Length = 2 * x = 2x m.

Also,

Perimeter of the field = 150 m.

We know that,

Perimeter of a rectangle = 2(length + breadth).

Hence,

→ 150 = 2(x + 2x)

→ 150 = 2 * 3x

→ x = 150/2 * 3

→ x = 25

Step-by-step explanation:

Answer:

X represents cups of lemon juice, while y represents cup of water

Step-by-step explanation:

Yes there is a proportional relationship between x and y, as they are correlated, and each cup of water equals one cups of lemon juice, in other words for each y there is an x.

hope this helped

Answer:

x = 10

Step-by-step explanation:

-4x = -40

x = 10

Answer:

4

Step-by-step explanation:

2(8)-12=

16-12=

=4

Answer:

A and B

Step-by-step explanation:

A. In the number 4,235 the 4 represents 10 times as much as it represents in the number 2,435.

4,235 = 4 is 4,000

2,435 = 4 is 400

A. Is true

B. In the number 2,453 the 5 represents 10 times as much as it represents in the number 2,435.

2,453 = 5 is 50

2,435 = 5 is 5

True

C. In the number 3,245 the 3 represents 10 times as much as it represents in the number 2,435.

3,245 = 3 is 3,000

2,435 = 3 is 30

Not true

D. In the number 5,243 the 2 represents 110 as much as it represents in the number 2,435

5,243 = 2 is 200

2,435 = 2 is 2000

Not true

Answer:

B. The length must decrease

Step-by-step explanation:

Given;

maximum volume of the tank, V = 24 ft³

maximum height of the tank, h = 4 ft

let the width of the tank = w

let the length of the tank = L

Volume of the tank is given by;

V = Lwh

L = V / (hw)

L = 24 / (4w)

L = 6/w

L is inversely proportional to w; an increase in w (width) will cause a decrease in L (length)

Therefore, If the designer increases the width of the fish tank, "The length must decrease"

Answer:

You can say "K over 3 plus 16" or 'The sum of 16 plus k over 3"

Step-by-step explanation:

Hope this helps :)

Answer:

0.35 cents each

Step-by-step explanation:

2.10 divided by 6 = 0.35

Answer:

it would be the one after eight so put it on the 9 mark

Step-by-step explanation:

hope u get it right if not srry

Answer: The last one/ D

Solve Absolute Value.

|4x+1|≤5

We know4x+1≤5and4x+1≥−5

4x+1≤5(Condition 1)

4x+1−1≤5−1(Subtract 1 from both sides)

4x≤4

4x4≤44(Divide both sides by 4)

x≤1

4x+1≥−5(Condition 2)

4x+1−1≥−5−1(Subtract 1 from both sides)

4x≥−6

4x4≥−64(Divide both sides by 4)

x≥−32

Answer:

i think it would be b/47

Step-by-step explanation:

Complete Question

The complete question is shown on the first  and  second uploaded image

Answer:

The estimate of the average stopping distance of all model A tires with a 94% confidence interval is  

       [tex]132.94 <  \mu < 144.86[/tex]

Step-by-step explanation:

From the question we see that

   The sample size is  n  = 8

   The population standard deviation is  [tex]\sigma = 6.7[/tex]

Generally the sample mean is mathematically represented as

        [tex]\= x = \frac{\sum x_i }{n}[/tex]

=>     [tex]\= x = \frac{ 145 + 152 + \cdots + 133}{8}[/tex]

=>     [tex]\= x = 138.9[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 94 ) \%[/tex]

=>   [tex]\alpha = 0.04[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n - 1[/tex]

=>   [tex]df = 8 - 1[/tex]

=>   [tex]df = 7[/tex]

Because the n < 30  we will making use of the t table

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a  degree of freedom of [tex]df = 7[/tex]  is  

   [tex]t_{\frac{\alpha }{2}, 7 } = 2.517 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2} , df} *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.517 *  \frac{6.7 }{\sqrt{8} }[/tex]

=>     [tex]E =5.96 [/tex]

Generally 94% confidence interval is mathematically represented as  

          [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>        [tex]138.9  -5.96 <  \mu < 138.9  + 5.96[/tex]

=>        [tex]132.94 <  \mu < 144.86[/tex]

Answer:

28%

Step-by-step explanation:

92-64=28

The percentage change in Alexandria's marks would be; 44%

A percentage is a minimum number or ratio that is measured by a fraction of 100. Percentage is the ratio of  the number for which you want to find  percentage to the total number with which you want to compare or out of and multiply this ratio with 100.

The percentage of change = (change in amount / original amount ) x 100

Alexandria's  marks in first attempt = 64

Alexandria's  marks in retake = 92

Then the Change in marks = 92-64 = 28

Thus Percentage of change on her tests

= ( change in marks / initial marks) ×100

=( 28/64)×100

= 43.75 %

≈ 44 %

Therefore, the percentage change in Alexandria's marks would be; 44%

Learn more about percentages;

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Answer:

54

Step-by-step explanation:

Given f(x) = 6(1 - x), what is the value of f(-8)?

F(-8)=6(1--8)        -- plug -8 into f(x) and x spots.

F(-)8=6(9)      ---then solve

F(-8)=54     --- so the function to f(-8) is 54

Answer:

The correct answer is D

Step-by-step explanation:

Answer:

B. The graph is linear because it increases at a constant rate.

Answer:

Unitary cost= $15

Step-by-step explanation:

First, we need to calculate the total cost of the baseball caps:

Total cost baseball caps= 90 - 45

Total cost baseball caps= $45

Now, the unitary cost of each baseball caps:

Unitary cost= total cost / number of units

Unitary cost= 45/3

Unitary cost= $15

c is your answer

Step-by-step explanation:

-throckmorton

Answer:

6

Step-by-step explanation:

20 divided by 3.27 is 6.11 but you can't have .11 of a milk carton.

Answer:

25 inches of snow

Step-by-step explanation:

Answer:

11.5 inches for the first question

I dont know what the second question is asking

Hope this helps :)

Answer: $11,750

Explanation: 23.5 × 500 = 11,750

Plz mark brainliest:)

Answer:

Step-by-step explanation:

Given the line 2x-7y = -25

First let us get the slope of the line:

Rewrite the equation in the form y = mx+c

2x-7y = -25

-7y = -2x-25

y = -2x/-7-25/-7

y = 2/7 x +25/7

The slope of the line is 2/7

Ffor two lines to be perpendicular, the product of their slope must be -1

mM = -1

m(2/7)= -1

2m = -7

m = -7/2

Hence the lines perpendicular to the given line must be a line that has a slope of -7/2. Since we are not given option, we can say example of such line is y = -7/2 x + 15

Answer:

Mi papa paga $ 4275 por la renta de la casa y le queda $ 8550 para el ahorro y los demás gastos.

Step-by-step explanation:

Mi padre recibe su paga, dedica una tercera parte para pagar la renta de la casa y dispone del resto, es decir, las dos terceras partes, para ahorro y demás gastos. Entonces, calculo los rubros correspondientes:

Rubro dedicado al pago de la renta de la casa

[tex]x = \$\,12825\times\frac{1}{3}[/tex]

[tex]x = \$\,4275[/tex]

Rubro dedicado al ahorro y los demás gastos

[tex]y = \$\,12825-x[/tex]

[tex]y =\$\,12825-\$\,4275[/tex]

[tex]y = \$\,8550[/tex]

Mi papa paga $ 4275 por la renta de la casa y le queda $ 8550 para el ahorro y los demás gastos.

Answer:

The 1st baseman can't catch the ball without jumping.

Step-by-step explanation:

To know if the 1st baseman can catch the ball without jumping we need to find the height reached by the baseball by solving the following equation:

[tex] f(x) = -0.004x^{2} + 0.3x + 6 [/tex]

We know that x (the horizontal distance) = 60 feet, so we have:

[tex] f(60) = -0.004(60)^{2} + 0.3(60) + 6 [/tex]

[tex]f(60) = 9.6 ft[/tex]

Since the 1st baseman can reach 8 ft high and the height reached by the baseball is 9.6 ft, the 1st baseman can't catch the ball without jumping.

Therefore, the 1st baseman can't catch the ball without jumping.

I hope it helps you!                             

Answer:

12

Step-by-step explanation:

Given, x and y are inversely proportional.

So, the equation is xy=k, where k is the constant of proportionality

x=4, y=9. plug in the values to find k.

k=4*9 = 36

When x=3, y = k/x =36/3 = 12

y=12, when x=3

Answer:

233.75 ruppees

Step-by-step explanation:

convert 2[tex]\frac{3}{4}[/tex] into decimal

2.75

calculate

85 × 2.75

233.75

Hope this helps!

Have a nice day!

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Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

Of what?

Step-by-step explanation:

Answer:

variablle

Step-by-step explanation:

Answer:

Fixed costs often include rent, buildings, machinery, etc. Variable costs are costs that vary with output. ... Variable costs may include wages, utilities, materials used in production, etc. In accounting they also often refer to mixed costs.

Step-by-step explanation:

(2 s) + ((−4) s) =

-2 seconds

Answer:

3(n+5)≥17

Step-by-step explanation:

3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.

The relationship between two expressions or values that are not equal to each other is called inequality.

Given that three times, the sum of a number n and 5 is at least 17.

According to the question, the expression will be = 3(n+5)≥17

Hence, 3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.

For more references on inequality, click;

https://brainly.com/question/28823603

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