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bearhunter [10]
3 years ago
8

Drinks 1 pint of 2% 1 quart of 1 cup of 1 quart of

Mathematics
1 answer:
KIM [24]3 years ago
8 0
<span>                    1 pint of 2%                  1 quart of               1 cup of            1 quart of 
                           milk                      orange juice        chocolate milk    lemonade 
Price              $1.34                           $3.09                     $0.99                   $2.75 

Budget of Mason $15.
2 gallons of orange juice:   1 gallon is equal to 4 quarts.  2 gallons * 4 quart/gallon = 8 quarts
1 quart of 2% milk: 1 quart is equal to 2 pints ; 1 quart * 2 pints / qt = 2 pints
1 quart of choco milk: 1 quart is equal to 4 cups; 1 quart * 4 cups/qt = 4 cups.

orange juice: 8 quarts * 3.09 =  24.72
2% milk: 2 pints * 1.34 = 2.68
choco milk: 4 cups * 0.99 = 3.96

24.72 + 2.68 + 3.96 = 31.36 total cost.

Mason did not have enough money. He needed an additional 16.36 to pay off his desired purchases.

</span>
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How would you solve the equation 5x - 1 = 149?
PIT_PIT [208]

Answer:

30

Step-by-step explanation:

5x-1=149

5x=149+1=150

5x=150

x=150/5

x=30

3 0
3 years ago
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Find p and q for which the linear eqn has infinite solutions
jekas [21]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒  y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

7 0
3 years ago
Consider the following equations: f(x) = 2x – 2 and g(x) = 5 - x
zysi [14]

Answer:

The difference in slopes of f(x)\ and\ g(x) is = 3

We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

Difference of y-intercepts of f(x)\ and\ g(x) is = -7

We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

Step-by-step explanation:

Given equation:

f(x) =2x - 2

g(x) =5-x

We need to find the difference of slopes and y-intercepts of the given equations.

The standard form of a slope intercept equation of line is given by:

y=mx+b

where m represents slope and b represents y-intercept of line.

Writing the given equations in standard form to find slope and y-intercept.

f(x) =2x +(-2)

Slope = 2 and y-intercept =-2

g(x) =(-1)x+5

Slope = -1 and y-intercept =5

The difference in slopes of f(x)\ and\ g(x) is = 2-(-1)=2+1=3

We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

Difference of y-intercepts of f(x)\ and\ g(x) is = -2-5=-7

We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

5 0
3 years ago
A year ago, Leila wanted to buy a necklace that cost $25.00. This year the same necklace cost $30.00. What was the percent incre
Delicious77 [7]

Answer:

20 %

Step-by-step explanation:

% Increase = Increase/Original value × 100 %

Data:

 Original = $25

This year = $30

Calculations:

   Increase =  This year - original

                  =         30       -      25

                  =                   $5

% Increase = 5/25 × 100 %

                  = 20 %

The percent increase of the price of the necklace was 20 %.

4 0
3 years ago
Find gradient and y-intercept of<br>Y=3x-5​
NemiM [27]

Answer:

Slope <em>m</em> (Gradient) = 3

y-intercept: (0, -5)

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

y = 3x - 5

<u>Step 2: Break function</u>

Slope <em>m</em> = 3

y-intercept <em>b</em> = -5

8 0
3 years ago
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