If y varies directly with x and y= 12 when x= 16, what is the value of x when y= 5?

Answers

Answer 1

Answer:

[tex]x = 6 \frac{2}{3} [/tex]

Step-by-step explanation:

Since y varies directly with x,

y= kx, where k is a constant.

① Find the value of the constant k.

When y=12, x= 16,

12= k(16)

16k= 12

[tex]k = \frac{12}{16} \\ k = \frac{3}{4} [/tex]

②Substitute the value of k back into the equation:

[tex]y = \frac{3}{4} x[/tex]

③ Find value of x when y=5.

When y=5,

[tex]5 = \frac{3}{4} x \\ x = 5 \div \frac{3}{4} \\ x = 5 \times \frac{4}{3} \\ x = \frac{20}{3} \\ x = 6 \frac{2}{3}[/tex]


Related Questions

round 13.045 to the nearest hundreth

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Answer:

13.00

Step-by-step explanation:

If there are 63 peaches in 7 bowls, how many peaches are in one bowl?

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Answer:

9

Step-by-step explanation:

63/7 is 9

Answer:

9

Step-by-step explanation:

Divide 63 and 7

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1. What is the distance between -12 and 6 on the number
line?

Answers

would the answer be +18??????????

Monica uso 1,2 litros de leche para hacer 12 flanes iguales ¿cuantos litros de leche necesitaria para hacer 60 flanes? ¿cuantos flanes haria con 0,5 decalitros de leche?

Answers

Answer:

1. 6 L de leche.

2. 50 flanes.

Step-by-step explanation:

1. Determinación del volumen (en litros) necesario para realizar 60 natillas.

De la pregunta dada arriba,

Monica usó 1.2 L de leche para hacer 12 natillas iguales.

Por lo tanto, usará xL de leche para hacer 60 natillas, es decir

xL de leche = (1.2 × 60) / 12

xL de leche = 6

Por lo tanto, necesitará 6 L de leche para hacer 60 natillas.

2. Determinación del número de flanes (natillas) que se pueden producir utilizando 0,5 decalitros de leche.

Empezaremos por convertir 0,5 decalitros (deca) a litro (L).

Esto se puede obtener de la siguiente manera:

1 deca = 10 L

Por lo tanto,

0.5 deca = 0.5 deca × 10 L / 1 deca

0,5 deca = 5 L

Por tanto, 0,5 deca equivale a 5 L.

Finalmente, determinaremos el número de flanes (natillas) que se pueden obtener a partir de 0.5 deca (es decir, 5 L) como se muestra a continuación:

Monica usó 1.2 L de leche para hacer 12 natillas iguales.

Por lo tanto, usará 5 L de leche para producir = (5 × 12) /1.2 = 50 natillas

Por lo tanto, puede hacer 50 flanes (natillas) usando 0.5 deca (es decir, 5 L).

Use the inverse relationship to complete the expression.

If i = square root of -1, then t^2= ?

Answers

Answer:

revertive is correct. The answer is -1

Step-by-step explanation:

A sofa is on sale for 32% off. The sale price is $527.
What is the regular price?

Answers

Answer:

$1646.875

I hope this helps!

What is y+3=4(x-1) in Slope intercept form ?

Answers

Y+3=4(x-1)
Y+3=4x-4
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Y=4x-7

The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees. Which of the following is not one of the angle measures of the triangle?

Answers

Answer:

55

Step-by-step explanation:

The measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees.

As we know,

The sum of the interior angle of the triangle is 180 degrees

2y + 3 + 9y - 7 + 7y + 4 = 180

18y = 180

y = 10

2y + 3 = 2(10) + 3 = 23 degres

9y - 7 = 9(10) - 7 = 83 degrees

7y + 4 = 7(10) + 4 = 74 degrees

Thus, the measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

3/4(12x−9) +b4 = 5−3(2−3x)

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Solve for x:

Take the root of both sides and solve.

All real numbers Interval Notation

(-infinity, infinity)

(Don’t actually write infinity, write the infinity symbol)

If you like skittles then you like candy True or false

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Answer:

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HELP ME WITH THE ANSWERS NOW
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Answer: QPR=31

Step-by-step explanation: first you would combine 3x and 7x which equals 10x. Then you combine -95 and -38 which equals -133. then you set up an equation like 10x - 133 = 47. Add 133 to both sides. 10x = 180. Divide both sides by 10. X= 18. 18 times 7 equals 126. 126 - 95 equals 31

is y=7x proportional

Answers

Answer: Yes. It is inversely proportional.

Step-by-step explanation:

In your question, the constant of proportionality already jump out at us which is to get y, we have to multiply x by 7. Therefore the constant of proportionality is y=7x.

pls help question attached

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The answer to your question is C

Lonny is serving soup for charity. Each bowl holds 2.15 cups of soup. How many bowls will Lonny use if he serves a total of 94.6 cups of soup?

Answers

you can set it up like a proportionality...hope this helps :)

Draw a number line diagram and write an expression to represent this situation: "On Tuesday at lunchtime, it was 29 ∘C. By sunset, the temperature had dropped to 16 ∘C.

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Answer:

Step-by-step explanation:

look at the png

Nick and his cousin Katie are picking apples in their grandparents' orchard. Nick has filled 15 baskets with apples and is filling them at a rate of 1 basket per hour. Katie has 10 full baskets and will continue picking at 2 baskets per hour. Once the cousins get to the point where they have filled the same number of baskets, they will carry them to the barn and then eat lunch. How long will that take?

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Answer:

240/4 hours will be 8 baskets

Step-by-step explanation:

Sam bought an $85.00 for 40% of the regular price.How much did he pay for the jacket?

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Answer:

he payed 34$ for the jacket

Step-by-step explanation:

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Step-by-step explanation:

9. Peyton is collecting data on the lunch habits of students at Hyattsville Middle School. In one class, 14 students bring lunch from home, and 20 buy a school lunch. Hyattsville Middle School has 1700 students. From the data collected, how many students would Peyton predict would buy a school lunch?*​

Answers

Answer: Around 1000 students would buy a schoo lunch.

Step-by-step explanation:

We know that in one class, 14 students bring lunch from home, and 20 buy lunch in the school. This will be our sample.

In total we have 20 + 14 = 34 students, this will be our 100%.

The percentage of students that bring lunch from home can be estimated as the quotient between the number of students that bring lunch from home and the total number of students, times 100%.

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And the percentage of students that buy lunch at school can be computed in the same way:

p2= (20/34)*100% = 58.82%

Then, out of the 1700 students in middle school, we can estimate that around 58.82% of them will buy lunch in the school.

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N = (58.82%/100%)*1700 = 1000

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What are the 4 lowest numbers to average 80 percent . (Lowest possible and one of the numbers has to be 60)

Answers

Answer:

5,5,10, and 60

Step-by-step explanation:

Find the remaining numbers

80-60= 20

10 + 10 = 20

Break it up to get 4 numbers total

5 + 5 + 10 = 20

20 + 60 = 80

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4(t + 3) = 24

Answers

Answer:

3

Step-by-step explanation:

4(t +3)=24

4t +12 =24

4t =24 - 12

4t =12

t =12 :4

t =3

Answer:

t = 3

Step-by-step explanation:

Original Equation:

4(t + 3) = 24

Use distributive property

4 x t = 4t

4 x 3 = 12

Your equation:

4t + 12 = 24

Subtract 12 from both sides

4t = 12

Divide both sides by 4

t = 3

Hope this helped :)

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which TWO Points cannot be included in the function that includes (-2,6),(-1,4),(0,2),(1,0)(3,-4) and (4,6)

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Answer:

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Step-by-step explanation:

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Answer:

From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36

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Answers

Answer:

New neurons are born not from mature nerve cells but rather develop from neural stem cells that remain in our brains throughout life. Indeed, in some brain areas, there is continual turnover of neurons - old ones die and new ones are born - and these new neurons can participate in circuits that underlie learning.

Answer:

New neurons are born not from mature nerve cells but rather develop from neural stem cells that remain in our brains throughout life. Indeed, in some brain areas, there is continual turnover of neurons - old ones die and new ones are born - and these new neurons can participate in circuits that underlie learning.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.

Step-by-step explanation:

have a great day!

Answer:

First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.

Step-by-step explanation:

it was correct on edge

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Answers

Answer:

64

Step-by-step explanation:

The volume of rectangular prisms is measured by l*w*h

And by counting the units of the length, width, and height are all 4 units long.

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What is the slope of this line?

Answers

I believe it is 1/2 or 0.5
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