MATHEMATICS MIDDLE SCHOOL

Ribbon candy costs $2.50 per foot.How many feet can you buy if you have $11.25?

Answers

Answer 1

Answer:

Answer: 4.5 feet he can buy if he has $11.25

Step-by-step explanation:

Since we have given that

Cost of candy per foot = $2.50

Total money he spent on candy = $11.25

Let the number of feet he can bought be x

Now, According to question, we get that ,

$2.50x=11.25\n\nx=(11.25)/(2.50)\n\nx=4.5$

So, 4.5 feet he can buy if he has $11.25.

Answer 2

Answer: 4 and a half feet...

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It costs $45 to rent a car each day.There is also a fee of $12.How much does it cost to rent a car for 5 days,including the fee? Write an equation for each problem.Use a variable for the unknown. Solve.

Answers

the answer is 540 that's the answer

45+12=F(57). F(57)×5=T(285). That's the equation

S=2πr^2+2πrh
Solve for h

Answers

h = [S / (2πr)] - r

Further explanation

It is a case about two-variable linear equations and we have to solve the equation to get the variable h.

Our main plan is to isolate the variable h alone at the end of the process on one side of the equation until the variable will be equal to the value on the opposite side.

$\boxed{S = 2 \pi r^2 + 2 \pi rh}$

We can set it to be like this, i.e., just swapping positions on both sides but not changing the signs.

$\boxed{2 \pi r^2 + 2 \pi rh = S}$

We subtract both sides with $\boxed{2 \pi r^2}$ .

$\boxed{2 \pi r^2 + 2 \pi rh - 2 \pi r^2 = S - 2 \pi r^2}$

$\boxed{2 \pi rh = S - 2 \pi r^2}$

We divide both sides with $\boxed{2 \pi r}$

$\boxed{(2 \pi rh)/(2 \pi r) = (S - 2 \pi r^2)/(2 \pi r)}$

$\boxed{h = (S)/(2 \pi r) - (2 \pi r^2)/(2 \pi r)}$

We get the results as follows: $\boxed{\boxed{h= (S)/(2 \pi r) - r}}$

- - - - - - -

Let's check again from the beginning.

For example, r = 2 and h = 3, then we first calculate the value of S by using the initial equation.

$\boxed{S=2 \pi (2)^2 + 2 \pi (2)(3)}$

$\boxed{S = 8 \pi + 12 \pi }$

$\boxed{\boxed{S= 20 \pi}}$

Then, we substitute the results of S (with r = 2) into the new equation that we have compiled with h as the subject.

$\boxed{h =(20 \pi)/(2 \pi (2)) - 2}$

$\boxed{h = 5 - 2}$

We get the value h = 3 and it means that the equation has been proven.

Notes:

The formula that we discussed above is a formula for calculating the surface area of a closed cylinder.

$\boxed{S = 2 \pi r^2 + 2 \pi rh}$

Learn more

Step by step to solve ²/₇m - ¹/₇ = ³/₁₄ brainly.com/question/4853649
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Keywords: S=2πr^2+2πrh, solve for h, subtract, divide, subject, to isolate the variable h alone, two-variable linear equations

Final answer:

To solve for 'h' in the equation S = 2πr^2 + 2πrh, subtract 2πr^2 from both sides, divide by 2πr, simplifying the right side of the equation.

Explanation:

To solve for h in the equation S = 2πr^2 + 2πrh:

Start by subtracting 2πr^2 from both sides of the equation to isolate the term containing h.
This gives us 2πrh = S - 2πr^2.
To solve for h, divide both sides of the equation by 2πr.
The final step is to simplify the right side of the equation, giving us h = (S - 2πr^2) / (2πr).

Learn more about Equations here:

brainly.com/question/18577777

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If a = 4 ft, c = 13 ft, and m∠B = 17°, what is the approximate area of ABC?

Answers

Answer:

7.6 ft² ( to 1 dec. place )

Step-by-step explanation:

given 2 sides of a triangle and the angle between them, the area (A) is calculated using the formula

A = $(1)/(2)$ ac sin B

= 0.5 × 4 × 13 × sin 17° ≈ 7.6

HELP ASAPThe dinner check was $85.00. If Tyler gave the waiter a 20% tip, how much was the tip?

The dinner check was $85.00. If Tyler gave the waiter a 20% tip, how much did Tyler spend in total?

Answers

Answer:

It is $17.

Step-by-step explanation:

How to change 20/10 to a mixed number

Answers

You can only have it in a whole number
20÷10
answer is 2

2 is the answer
i hope this help you

What are the intercepts of 2x + 3y – 6z = 30?

Answers

Intercept of equation 2x + 3y - 6z = 30 is (15, 0, 0) , (0, 10, 0) and (0, 0, -5)

Solution:

Given equation is:

2x + 3y - 6z = 30

We have to find the intercepts

Intercept are the point where equations cut the x- axis, y- axis and z- axis.

Thus, at x- axis:

y and z both are zero

So substitute y = 0 and z = 0 in given equation

2x + 3(0) - 6(0) = 30

2x = 30

x = 15

Thus the intercept is (15, 0, 0)

Thus at y - axis:

x and z both are zero

So substitute x = 0 and z = 0 in given equation

2(0) + 3y -6(0) = 30

0 + 3y + 0 = 30

3y = 30

y = 10

Thus the intercept is (0, 10, 0)

Thus at z - axis:

x and y are both zero

So substitute x = 0 and y = 0 in given equation

2(0) + 3(0) - 6z = 30

-6z = 30

z = -5

Thus the intercept is (0, 0, -5)

Thus, intercept of equation 2x + 3y - 6z = 30 is (15,0,0) ,(0,10,0) and (0,0,-5)

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