MATHEMATICS HIGH SCHOOL

in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?

Answers

Answer 1

Answer:

Answer:

x=34

Step-by-step explanation:

If you put Y and X into a ratio then it will be

5:2

because since their GCF is 11, then we will have to divide both of the numbers by 11.

If y=85 then that means that it was multiplied by 17. If we want them to stay within the same ratio, then we will have to multiply X (2) by 17.

That will get you 34.

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Find the y-intercept for the graph of the quadratic function. y + 4 = (x + 2)2 A. (0, 4) B. (0, 0) C. (4, 0) D. (0, -4

Answers

For y-intercept, x = 0.
y + 4 = (0 + 2)^2
y + 4 = 2^2
y + 4 = 4
y = 4 - 4 = 0

y-intercept is (0, 0)

1. 360 miles in 6 hours

Answers

Answer:

60mph

Step-by-step explanation:

Three times the quantity of a number and 2.5 is 6.6.

Answers

1. Make an equation
3x * 2.5= 6.6
2. Then solve. Get x on its own side

3x*2.5=6.6
/2.5=/2.5
3x=2.64
/3=/3
Then check by substituting .88 as x then you will get 6.6
x=0.88
I hope this helped

Final answer:

The question is a basic algebra problem where we are required to solve for a variable, in this instance 'x'. Upon solving the equation 3x + 2.5 = 6.6, we find that x equals approximately 1.37.

Explanation:

The question is asking us to find a number such that when we multiply it by three and then add 2.5, the result is 6.6. In mathematical terms, we can express this as an equation like this: 3x + 2.5 = 6.6.

To solve this equation first, we need to do the opposite operation of adding 2.5 to the equation on both sides, which involves subtracting 2.5 from both sides of the equation. After doing this, the equation becomes 3x = 6.6 - 2.5, which simplifies to 3x = 4.1.

Next, we do the reverse operation of multiplying the unknown by 3, which is done by dividing both sides of the equation by 3. Therefore, x = 4.1 / 3, which gives us x = 1.36666667. This value, rounded to two decimal places, is 1.37.

Learn more about Basic Algebra here:

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The difference between two integers x and -12 is -15. Find the value(s) of x.

Answers

Answer:

x = 3

Step-by-step explanation:

-12–x = -15

15 - 12 = x

x = 3

The volume Equals Four thirds pi r cubed of a spherical balloon changes with the radius. a. At what rate (cubed/in) does the volume change with respect to the radius when r equals 9 in question mark b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 9 to 9.5 in question mark

Answers

Answer:

Step-by-step explanation:

Given

Volume of spherical Balloon is given by

$V=(4)/(3)\pi r^3$

(a)Rate of change of balloon w.r.t to radius is given by

$\frac{\mathrm{d} V}{\mathrm{d} r}=3* (4)/(3)\pi r^2=4\pi r^2$

at $r=9\ in.$

$\frac{\mathrm{d} V}{\mathrm{d} r}=324\pi\ in.^2$

(b)Using the rate Volume change when radius increases from r=9 in. to r=9.5 in.

$\Delta V=4\pi (9)^2(9.5-9)=162\pi\ in.^3$

Write an algebraic expression for the following word phrase: the quotient of r and 12?

Answers

quotient= division so 12/r would be your answer

Final answer:

The algebraic expression for the word phrase 'the quotient of r and 12' is r/12. This represents a division operation where r is divided by 12.

Explanation:

The phrase 'the quotient of r and 12' can be translated into an algebraic expression as r/12. In this expression, 'quotient' refers to the mathematical operation of division. Hence, the expression means that the variable 'r' is divided by '12'.