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My name is Ann [436]
3 years ago
13

Henrietta bought 5 cupcakes and 2 brownies for $16.25. She went back to the bakery the next day and bought 7 cupcakes and 6 brow

nies for $26.75. How much does one brownie cost? One cupcake?
Mathematics
1 answer:
serious [3.7K]3 years ago
6 0

Answer:

cost of one cupcake = $2.75

cost of one brownie = $1.25

Step-by-step explanation:

Let c = number of cupcakes

Let b = number of brownies

Equation 1:  5c + 2b = 16.25

Equation 2:  7c + 6b = 26.75

Multiply equation 1 by 3:

⇒ 15c + 6b = 48.75

Now subtract equation 2 from this equation to eliminate 6b:

⇒ 8c = 22

Divide both sides by 8:

⇒ c = 2.75

Substitute c = 2.75 into one of the original equations and solve for b:

⇒ 5(2.75) + 2b = 16.25

⇒ 13.75 + 2b = 16.25

⇒ 2b = 2.5

⇒ b = 1.25

Therefore, cost of one cupcake = $2.75 and cost of one brownie = $1.25

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Sarah used her calculator to work out the value of a number y .
mars1129 [50]

Answer:

7.75 \: \leqslant y \:  <  \: 7.85

Step-by-step explanation:

The calculator approximated the value of y at 7.8.

We need to complete the error interval for y.

In other words, we calculate the upper and lower bound for y.

The level level of accuracy is to the nearest tenth.

To find the lower bound, we subtract half the degree of accuracy to get:

y \geqslant 7.8 - 0.05  \\ y  \geqslant 7.75

To find the upper bound, add half the level of accuracy to get:

y \:  <  \: 7.8 + 0.05 \\ y \:  <  \: 7.85

Therefore the error interval is

7.75 \: \leqslant y \:  <  \: 7.85

5 0
3 years ago
Write one digit on each side of 36 to make a four-digit multiple of 36. How many different solutions does this problem have?
vaieri [72.5K]

9514 1404 393

Answer:

  3 solutions: 1368, 5364, 9360

Step-by-step explanation:

In order to be divisible by 36, the number must be divisible by 9 and by 4. The number will be divisible by 9 if the sum of its digits is divisible by 9. 36 already has a digit sum of 9, so the two added digits must sum to 9.

The number will be divisible by 4 if the least-significant digit is a multiple of 4. That is, it must be 0, 4, or 8. Then the corresponding most-significant digits must be 9, 5, or 1.

The three solutions are ...

  1368 = 38 · 36

  5364 = 149 · 36

  9360 = 260 · 36

6 0
3 years ago
Tim count his friends fingers by fives. he counts the fingers on six hands. what number does he say?
Fudgin [204]
6*5= 30 fingers, so tim would say there are 30 fingers.
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3 years ago
Help!! Which is the correct answer?
kakasveta [241]
7300-5500=1800 needs to come from salespeople. To make at least 7300, the salespeople need to make at least 1800, which means:
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3 years ago
What is the initial value of the equation shown?
Ksju [112]

Answer:

Y = 2

Step-by-step explanation:

if you were looking for y's value

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2 years ago
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