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3 years ago

A recipe uses 3 cups of flour and 2 cups of sugar. Write the ratio of flour to sugar as a fraction, then find the unit rate.

Mathematics

2 answers:

Vinvika [58]3 years ago

4 0

Well you write 3:2 thats the ration then 2/3 and there is no unit rate

torisob [31]3 years ago

4 0

Answer:

Ratio of flour to sugar as a fraction is $\frac{3}{2}$

There is no unit rate.

Step-by-step explanation:

Given : A recipe uses 3 cups of flour and 2 cups of sugar.

To find : Write the ratio of flour to sugar as a fraction, then find the unit rate?

Solution :

Number of cups of flour = 3

Number of cups of sugar = 2

The ratio of flour to sugar is 3 :2,

In a fraction, flour to sugar is $\frac{3}{2}$

As both have same unit so it cancel outs.

There is no unit rate.

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Container A and container B are right circular cylinders. A has a radius of 4 inches and a height of 5 inches while container B

Bess [88]

Answer:

8 in

Step-by-step explanation:

RA = 4 in, RB = 2 in

oil height in A = hA = 2 in

Find oil height in B = hB

volume of oil in A = VA = π*RA² * hA

equal amount means volume of oil in B VB = VA

But VB = π*RB² * hB

so π*RA² * hA = π*RB² * hB

then

hB = hA *(RA/RB)² = 2 * (4/2)² = 8 in

7 0

2 years ago

Read 2 more answers

When x-y=3 work out the value of y-x

GalinKa [24]

The value of y-x is (-3)

Solution:

Given: The value of x-y=3

To find: The value of y-x

$\bold{x-y=3\rightarrow (1)}$

Let's multiply the equation (1) by (- 1) on both sides,

$\Rightarrow\bold{(x - y)\times(- 1) = 3\times(- 1)}$

$\Rightarrow\bold{-(x-y)=-3}$

On multiplying the sign,

$\Rightarrow\bold{(-x+y)=-3}$

The above equation can also be written as,

$\Rightarrow\bold{y-x=-3\rightarrow \text{(The required equation)}}$

Multiplication of signs:

$\Rightarrow( + )\times( + ) = ( + )$

$\Rightarrow( + )\times( - ) = ( - )$

$\Rightarrow( - )\times( + ) = ( - )$

$\Rightarrow( - )\times( - ) = ( + )$

In simpler terms, when we multiply two integers with the same signs, the result is always positive and when we multiply two integers with different signs, the result is always negative.

5 0

3 years ago

What is 2x-3y=-1 y=x-1

Vika [28.1K]

If you're looking for the solution to the system of equations, here's how we solve using substitution
We know that y = x - 1, so we can plug that into the first equation giving
2x - 3(x-1) = -1
Now distribute the 3 giving 2x - 3x + 3 = -1. After combining like terms we get -x + 3 = -1. Now subtract 3 from both sides, -x = -4, and multiply both sides by -1 to make x positive. x = 4
Now we can plug that into the second equation to get y
y = x - 1, and we know that x = 4, so y = 4 - 1, y = 3. The solution is (4, 3)

8 0

3 years ago

Read 2 more answers

Length of x A.6 B.10 C.6.2 D.8

Bad White [126]

X/7 = 6/4.2

4.2x = 42

x= 10

5 0

2 years ago

Hector has a part-time job at a garage. He gets a paycheck of $820 every for

ElenaW [278]

Answer:

A. Hector pays $ 123 in taxes each paycheck.

B. Hector should expect to receive $615 or 75% of his regular pay.

C. Hector will be paid $ 902 when he receives his next 4- week paycheck.

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Paycheck Hector gets every four weeks = $ 820

2. Hector has to pay 15% of his income in taxes. How much money does he

pay in taxes each paycheck? Show your thinking with a diagram and

calculations.

Taxes = 15% of 820

Taxes = 0.15 * 820

Taxes = $ 123

Hector's paycheck: ←------------------------------820--------------------------------------→

Taxes: ←----123---→

3. Hector took a 1-week vacation, so his next paycheck will only be for 3

weeks of work. What percentage of his regular pay should he expect to

receive? How much is that?

We can answer this question using the Direct Rule of Three, this way:

Weeks Paycheck

4 820

3 x

***********************************

4x = 820 * 3

4x = 2,460

x = 2,460/4

x = 615

615/820 = 0.75 = 75%

4. The garage owner is impressed with Hector's work and is giving him a

10% raise. How much will Hector be paid when he receives his next 4- week paycheck?

Raise = 10% of 820

Raise = 0.1 * 820 = 82

Next 4- week paycheck = 820 + 82 = 902

4 0

2 years ago