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Viktor [21]
2 years ago
15

() Susan set up a lemonade stand to raise money for a children's hospital. She's selling

Mathematics
1 answer:
murzikaleks [220]2 years ago
4 0

Solving the system of equations, it is found that 120 cups of lemonade and 160 brownies were sold.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

  • Variable x: Number of cups of lemonade sold.
  • Variable y: Number of brownies sold.

In this problem, the system is:

  • x + y = 280.
  • 2.5x + 1.5y = 540.

From the first equation, y = 280 - x, hence, replacing in the second:

2.5x + 1.5y = 540

2.5x + 1.5(280 - x) = 540

x = 540 - 1.5 x 280

x = 120

y = 280 - x = 280 - 120 = 160.

120 cups of lemonade and 160 brownies were sold.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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A construction company showed that the strength, y, of concrete, measured
Vilka [71]

Answer:

  a) y-intercept = 17; initial design strength percentage

  b) slope = 2.8; increase in that percentage each day

  c) 29.6 days to 100% design strength

Step-by-step explanation:

a, b) The equation is in the form called "slope-intercept form."

  y = mx + b

where the slope is m, and the y-intercept is b.

Your equation has a slope of 2.8 and a y-intercept of 17.

The y-intercept is the percentage of design strength reached 0 days after the concrete is poured. The strength of the concrete when poured is 17% of its design strength.

The slope is the percentage of design strength added each day after the concrete is poured. The concrete increases its strength by 2.8% of its design strength each day after it is poured.

__

c) To find when 100% of design strength is reached, we need to solve for x:

  100 = 2.8x +17

  83 = 2.8x

  83/2.8 = x ≈ 29.6

The concrete will reach 100 percent of its design strength in about 30 days.

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3 years ago
Item 1<br> Find 11/12+(−7/12). Write your answer as a fraction in simplest form.
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Answer:

1/3

Step-by-step explanation:

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After 3.5 days, the height of the plant is ______
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12 cm ... What will be the height of the plant after 2 days? ... cm, the number of days it has been exposed to the sunlight is ______ .

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2 years ago
Use the given frequency distribution to find the class width, class midpoint, and class boundaries​
Harman [31]

Based on the table attached, the class boundaries are as follows: 43.5, 49.5, 53.5, 59.5, 63.5, 69.5, 73.5, 79.5.

<h3 /><h3>What is the frequency distribution about?</h3>

Temperature (°F) Frequency

40-44 1

45-49 3

50-54 5

55-59 11

60-64 7

65-69 7

70-74 1

A. Viewing at the frequency table, we find that the lower class limits of two consecutive classes are 40 and 44, respectively. Thus the class width is:

 Class width = 44 − 40= 4

B: One can find the class midpoints by putting the average of the lower and upper class limits. So the midpoint of the first class is  seen below:

=  40  - 44 = \frac{40 + 44}{2}   = 42. In a similar way, we find the rest.

C. The Class boundaries is known to be that which separate the classes removing the class limits. The class boundaries are as follows:

43.5, 49.5, 53.5, 59.5, 63.5, 69.5, 73.5, 79.5

Therefore, Based on the table attached, the class boundaries are as follows: 43.5, 49.5, 53.5, 59.5, 63.5, 69.5, 73.5, 79.5.

Learn more about frequency distribution from

brainly.com/question/1094036

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5 0
2 years ago
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