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e-lub [12.9K]
2 years ago
9

How many quarts are there in 10 ½ gallons

Mathematics
2 answers:
aksik [14]2 years ago
7 0

Answer:

42 quarts

Step-by-step explanation:

Free_Kalibri [48]2 years ago
6 0

Answer:

42 quarts

Step-by-step explanation:

1gallon = 4 quarts

10.5 x 4 = 42

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The cost, C, in millions of dollars of producing T million tons of steel is modeled by the equation C = 220T + 1890.
kobusy [5.1K]

C = 220T + 1890.

Solve the equation for T.

220T = C - 1890

T = C/220 - 8.6

The steel produced is expected to be sold at a price of $310 per ton.

310 $/ton is a rate or slope. Write a linear equation where x is tons of steel produced and y is selling price of the steel.

y = 310x

Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.

* Here, note that the cost of production and tons of steel in the first equation is in the millions.  The equation we just wrote for the selling price was in x tons of steel. This only matters in regards to the units you specify because; million/million = 1

The unit multiplier of all variables must be specified as same. Either everything is in millions or not.

Here, I'll leave everything in millions, change x (tons of steel) to T (mill tons steel) and "y" to "S" in million dollars selling price.

S = 310T

Set equal to Cost equation.

220T + 1980 = 310T

Solve for T, million tons of steel produced.

1980 = 310T - 220T

1980 = 90T

T = 1980/90

T = 22 million tons steel produced


7 0
2 years ago
Is x = 3 a solution of the equation 3x − 5 = 4x − 9? Explain.
Vika [28.1K]

Answer:

no because on is equal to 3 when plugged in and the other is equal to 4 when plugged in.

Step-by-step explanation:

3(3)-5=4\\4(3)-9=3

5 0
3 years ago
A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $693 on props,
sergeinik [125]

Answer:

The total budget is $1260

Step-by-step explanation:

Given

Props = \$693

Costumes = 45\%

Required

Determine the total budget

Since all budgets was spent on Props and Costumes only.

We have that.

\%Props + \%Costumes = 100\%

\%Props + 45\%= 100\%

\%Props= 100\% -45\%

\%Props= 55\%

In other words, 55% was spent on Props

Let the total budget be x, we have:

55\% * x = \$693

Make x the subject

x = \$693/55\%

x = \$1260

Hence, the total budget is $1260

5 0
2 years ago
What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

y=x^{2}-8x+15

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

x^{2}-8x+15=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-8x+15=0  

so

a=1\\b=-8\\c=15

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}

x=\frac{8\pm\sqrt{4}} {2}

x=\frac{8\pm2} {2}

x=\frac{8+2} {2}=5

x=\frac{8-2} {2}=3

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0
2 years ago
What is an equation in point slope form for the given point and slope? Point: (7,4) Slope: 6
svlad2 [7]
Y-y1=m(x-x1) for slope=m
point is (x1,y1)

pont s (7,4)
slope is 6
x1=7
y1=4

y-4=6(x-7)

2nd one is correct answer
4 0
2 years ago
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