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m_a_m_a [10]
3 years ago
13

Just before her party starts, Jane fills a cooler with 80 cups of ice. She also starts filling glasses with ice, 0.8 cups each.

Write an equation that shows how the total number of cups of ice used, y, depends on the number of glasses filled, x.
Mathematics
1 answer:
Fofino [41]3 years ago
5 0

The equation that shows how the total number of cups of ice used, y, depends on the number of glasses filled, x, is y = 0.8x + 80

<h3>Linear function</h3>

Filling the cooler is an illustration of a linear function

A linear function is represented as: y = mx + b

Where

  • m represents the slope/rate
  • b represents the y-intercept/the initial value
  • x and y are the variables

<h3>The equations</h3>

By comparison, we have the following parameters

  • m =0.8 --- the amount of cups per ice
  • b = 80 ---- the initial amount of cup

So, the equation that represents this scenario is

y = 0.8x + 80

Read more about linear functions at:

brainly.com/question/14323743

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Help with this question, please!
Katyanochek1 [597]

The diet will include <u>123.75 </u>daily grams of protein

<h3>Further explanation</h3>

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

\large{\boxed{\bold{ax=b}}

or  

ax + b = c, where a, b, and c are constants, x is a variable  

We complete the task :

A nutritionist planning a diet for a football player wants him to consume 3,500 Calories and 725 grams of food daily. Calories from fat and protein will be 45% of the total Calories. There are 4, 4, and 9 Calories per gram for protein, carbohydrates, and fat, respectively. How many daily grams of protein will the diet include?

  • 243.75
  • 481.25
  • 123.75
  • 120

Calories from fat and protein will be 45% (0.45) of the total Calories

Calories from fat and protein = 0.45 x 3500 = 1575 calories

Calories from carbohydrates = 3500 - 1575 = 1925 calories

So mass for carbohydrates = 1925 : 4(4 calories/gram) = 481.25 grams

Then mass for fat and protein = 725 - 481.25 = 243.75 grams

We can make equation for fat and protein

1. 4 calories. mass of protein(p) + 9 calories . mass of fat(f) = 1575 calories

2. mass of protein(p) + mass of fat(f) = 243.75

we can simplify :

1. 4p+9f = 1575

2. p + f = 243.75 ⇒ f = 243.75 - p

we substitute equation 2 into equation 1 :

4p + 9(243.75-p) = 1575

4p + 2193.75-9p=1575

-5p = -618.75

p = 123.75

<h3>Learn more</h3>

linear equation

brainly.com/question/99841

Keywords : one variable, linear equation ,diet, nutritionist,calories, fat, proteins, carbohydrates, daily grams

#LearnWithBrainly

6 0
3 years ago
Suppose that a "code" consists of 4 digits, none of which is repeated. (A digit is one of the 10 numbers 0, 1, 2, 3, 4, 5, 6, 7,
dalvyx [7]

Answer:

5040

Step-by-step explanation:

8 0
3 years ago
Please Help me I really need it :)
lapo4ka [179]

Answer:

C

Step-by-step explanation:

For the given intervals

( - ∞, - 5) ← use any value < - 5 but not - 5, the parenthesis ) indicates that x is less than - 5 but not equal to - 5

(- 5, - 1) ← - 4, - 3, - 2 can be used but not - 5 or - 1

(- 1, 4) ← 0, 1, 2, 3 can be used but not - 1 or 4

(4, ∞ ) ← use any value > 4 but not 4

Hence

3 can be used in (- 1, 4)

- 6 can be used in (- ∞, - 5)

zero can be used in (- 1, 4)

- 5 cannot be used in any of the given intervals

5 0
3 years ago
Drag the correct steps into order to solve the equation -7x + 14 = 56 for x.
Lina20 [59]

Answer:

-7x + 14 = 56

Subtract 14 both sides

-7x + 14 - 14 = 56 - 14

-7x = 42

Divide both sides by -7

(-7x)/(-7) = 42/(-7)

x = -6

3 0
3 years ago
Read 2 more answers
A gardener uses 20 gallons of water each week on his 8-foot by 10-foot vegetable garden. He plans to enlarge his
MatroZZZ [7]

Answer:

60 gallons

Step-by-step explanation:

so he enlarged it by three so it would be 24by30

because of that, you have to multiply 20g by 3 also

that gives you 60 gallons

7 0
2 years ago
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