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storchak [24]
3 years ago
9

You are making a colorful cake for a birthday party and need to use 4 drops of food coloring for every 5 ounces of icing. How ma

ny drops of food coloring do you need if
you are using 30 ounces oficing?
Mathematics
1 answer:
kari74 [83]3 years ago
4 0

Answer:

24 drops of food coloring

Step-by-step explanation:

First, since there are 30 ounces, divide by 5, because there are 4 drops in every 5 ounces of icing. Since 30÷5=6, You have to multiply it by 4 to get 24. You multiply by 4 because there are 4 drops in 5 ounces of icing.

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A local hamburger shop sold a combined total of 659 hamburgers and cheeseburgers on Sunday. There were 50 fewer cheeseburgers so
NISA [10]

Answer:

The sold 354.5 hamburgers and 300.5 cheeseburgers.

Step-by-step explanation:

Let number of hamburgers=h

Let number of cheeseburgers=c

On Sunday, the shop sold a combined total of 659 hamburgers and cheeseburgers. Therefore:

h+c=659....(I)

There were 50 fewer cheeseburgers sold than hamburgers .

c=h-50.....(ii)

Substitution of equation (ii) into (I)

h+(h-50)=659

2h=659+50

2h=709

h=709/2=354.5

From (ii)

c=h-50

=354.5-50=300.5

The sold 354.5 hamburgers and 300.5 cheeseburgers.

NOTE: These result are from the given data. However, we were not informed if the shop sells half burgers or not

7 0
3 years ago
What is the circumference and area of a circle with a radius of two
bezimeni [28]

Answer:

The area and circumference is/are both 4π

Step-by-step explanation:

Formula for the circumference: 2πr

Formula for the area: πr²

2×π×2=4π

The circumference is 4π

π×2²= 4π

The area is 4π

7 0
4 years ago
F(x)=2x^2-x-6 g(x)=4-x (f+g)(x)
Semenov [28]

\large  \boxed{(f + g)(x) = f(x) + g(x)}

The property above is distribution property where we distribute x-term in the function.

Substitute both f(x) and g(x) in.

\large{ \begin{cases} f(x) = 2 {x}^{2}   -  x - 6 \\ g(x) =  4 - x \end{cases}}  \\  \large{f(x) + g(x) = (2 {x}^{2}  - x - 6) + (4 - x)} \\  \large{f(x) + g(x) = 2 {x}^{2}  - x - 6 + 4 - x}

Évaluate/Combine like terms.

\large{f(x)  + g(x) = 2 {x}^{2}  - 2x - 2}

The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)

\large{(f + g)(x) = 2 {x}^{2}  -2x -2}

<u>Alternative</u>

\large{(f + g)(x) = 2({x}^{2}  -x - 1)}

<u>Answer</u>

  • (f+g)(x) = 2x²-2x-2
  • (f+g)(x) = 2(x²-x-1)

Both answers work. The second answer is in factored form.

Let me know if you have any doubts!

8 0
3 years ago
How much will Ashley's plan cost for the same number of texts as when Jamel's costs $75.00?
Vitek1552 [10]
In order to begin figuring that out, we need to know how both of their plans work.
3 0
3 years ago
Sarah rode her bike 2/1/2 miles in 1/6 of an hour. What is her unit rate in miles per hour?
larisa [96]
15 miles per hour is the answer because 2/1/2 divided by 1/6 is 15
3 0
3 years ago
Read 2 more answers
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