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3 years ago

Judy can decorate 6 cakes in 3 hours. Exactly how many cakes can Judy decorate in 3/4 of an hour?

2 answers:

6 0

Just can decorate 2 full cakes. 6 divides by 3 is 2. So she decorated 2 per hour. If you do the work it’s 2 divided by 0.75 (3/4) you get 2 2/3. But that’s not a full 3 cakes so only 2. Glad to help!

timurjin [86]3 years ago

5 0

She can decorate exactly 1 and a half cakes in 3/4 of an hour

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Solve the system of equations below by elimination. Write your answer as an ordered pair. e.g. (2,3)

Lyrx [107]

Answer:

(45,35)

Step-by-step explanation:

1 - Stack the equations on top of each other

3x - 4y = -5

4x + 4y = 40

2 - We can eliminate by subtracting the bottom equation from the top equation

3x - 4y = -5

- 4x - 4y = 40

3 - The y's cancel out, leaving us with...

3x = -5

- 4x = 40

4 - Continue simplifying

-1x = -45

5 - We can switch the -1x with -x to make things simple

-x = -45

6 - Positize (make it positive) the statement

x = 45

7 - Halfway there! Substitute the x value into one of the equations

(3 * 45) - 4y = -5

8 - Solve

135 - 4y = -5

Minus 135 on both sides

-4y = -140

Divide by -4 on both sides

y = 35

9 - Here is your answer!!

x = 45

y = 35

(45,35)

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2 years ago

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dybincka [34]

A square and a triangle

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3 years ago

At the beginning of my bike ride I feel good, so I can travel 20 miles per hour. Later, I get tired and travel only 12 miles per

Vesnalui [34]

Answer: $3\dfrac{1}{4}$ hours

Step-by-step explanation:

Let x be the time ( in hours ) you feel good and y be the time ( in hours ) that you get tired.

As per given , we have

x+y= 8

Since : $Distance = Speed\times Time$

So , we have

20x+12y=122

According to the given question , we have the following system of equations ,

$x+y= 8--------(1)\\\\20x+12y=122------------------(2)$

Multiply 12 on both sides of equation (1) , we get

$12x+12y=96------------(3)$

Eliminate equation (3) from (2) , we get

$8x=26\\\\\Rightarrow\ x=\dfrac{13}{4}=3\dfrac{1}{4}$

Hence, you felt $3\dfrac{1}{4}$ hours good.

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Rainbow [258]

Answer:

$A\cap B={2,4}$

Step-by-step explanation:

Intersection represents the elements present in both sets.

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