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vichka [17]
2 years ago
12

Karim uses. Total of 20 cup of batter to make x cupcakes and a cake. He uses 2/3 cups of batter for each cupcake and 4 cups of b

atter for the cake. How many cupcakes x can karim make if he uses all the batter
Mathematics
1 answer:
tino4ka555 [31]2 years ago
8 0

Answer:

24 cup cakes

Step-by-step explanation:

Karim uses. Total of 20 cup of batter to make x cupcakes and a cake. He uses 2/3 cups of batter for each cupcake and 4 cups of batter for the cake. How many cupcakes x can karim make if he uses all the batter

Let us represent:

Number of cup cakes = x

Number of cakes = y

x + y = 20 cups of batter

x + y = 20...... Equation 1

x = 20 - y

2/3 cups of batter for each cupcake and 4 cups of batter for the cake

Number of cups of batter for the cupcakes

= 20 - 4

= 16 cups of batter is used for the chop cakes

2/3 cups of batter for each cupcake

Hence:

2/3 cups of batter = 1 cup cakes

16 cups of batter = x

Cross Multiply

2/3 x x = 16

x = 16 ÷ 2/3

x = 16 × 3/2

x = 24 cup cakes

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Answer:

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3 years ago
Anyone know this one I’m kinda bad at math lol
swat32

Answer:

1/ 9^5

Step-by-step explanation:

When dividing exponents with the same base, subtract the exponents

9^2 / 9^7

9 ^ (2-7)

9^ -5

We know that a^ -b = 1/ a^b

1/ 9^5

8 0
3 years ago
Read 2 more answers
Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. h
Leya [2.2K]

The gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².

<h3>What is the Total Surface Area of a Rectangular Box?</h3>

Total surface area (TSA) = 2(wl+hl+hw), where:

  • l = length
  • w = width
  • h = height of the box.

The amount of gift wrap needed to cover the whole box = total surface area of the rectangular box

l = 20 in.

w = 8 in.

h = 13 in.

Plug in the values into the formula for total surface area of a rectangular box:

TSA = 2(8×20 + 13×20 + 13×8)

TSA = 1,048 in.²

Therefore, the gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².

Learn more about rectangular box on:

brainly.com/question/13103197

6 0
2 years ago
Write an equation (-2, 10), (10, -14)
Brilliant_brown [7]

\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-14}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-14}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{(-2)}}}\implies \cfrac{-24}{10+2}\implies \cfrac{-24}{12}\implies -2

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{-2}[x-\stackrel{x_1}{(-2)}]\implies y-10=-2(x+2) \\\\\\ y-10=-2x-4\implies y=-2x+6

5 0
3 years ago
Find an equation for the line that passes through the points (1, -1) and (-3, 1).
saul85 [17]

Answer:

<h3>y = - 1/2x - 1/2</h3>

Step-by-step explanation:

Equation of line is y = mx + c

where m is the slope

c is the y intercept

Slope of the line using points

(1, -1) and (-3, 1) is

m =  \frac{1 + 1}{ - 3 - 1}  =  -  \frac{2}{4}  =  -  \frac{1}{2}

Equation of the line using point

( 1 , - 1) and slope - 1/2 is

y + 1 =  -  \frac{1}{2} (x - 1) \\ y + 1 =  -  \frac{1}{2} x +  \frac{1}{2}  \\ y =   - \frac{ 1}{2} x +  \frac{1}{2}  - 1 \\ y =  -  \frac{1}{2} x -  \frac{1}{2}

Hope this helps you.

3 0
3 years ago
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