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3 years ago

What is the x-coordinate of the solution of the following system of equations?

1 answer:

8 0

Plug in the x value from the second equation
3(-y+2)+2y=12
use distributive property.
-3y+6+2y=12
since the y values are in the same side of the = sign, just put them together.
-y+6=12
subtract 6 from 6 and 12.
-y=6
since the equation has a negative y, divide what is left by -1.
y= -6.
that is the y value. now plug that in to the first equation.
3x+2(-6)=12
multiply.
3x-12=12add 12 to both 12s
3x=24
divide.
x=8.

the ordered pair is (8, -6), and the x value is 8.

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The sides of a square are 3 2/7 inches long.<br> What is the area of the square?

vredina [299]

Area is just height times width so if it’s a square all sides are equal so you do 3 2/7 time 3 2/7 and get 10.796 in^2

3 0

3 years ago

List x1, x2, x3, x4 where xi is the left endpoint of the four equal intervals used to estimate the area under the curve of f(x)

n200080 [17]

Answer:

Option A. 4, 4.5, 5, 5.5

Step-by-step explanation:

Left point: a=x=4

Right point: b=x=6

Range: r=b-a→r=6-4→r=2

Width of each of the four equal intervals: w=2/4→w=0.5

The first left endpoint is x1=a→x1=4

The second left endpoint is x2=x1+w→x2=4+0.5→x2=4.5

The third left endpoint is x3=x2+w→x3=4.5+0.5→x3=5

The fourth left endpoint is x4=x3+w→x4=5+0.5→x4=5.5

Then, the list is: x1, x2, x3, x4 = 4, 4.5, 5, 5.5

4 0

3 years ago

You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac

andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = $\frac{Diameter}{2}=\frac{9}{2}=4.5\ cm$

Height of cups = 12 cm

We will find volume of cup.

$Volume = \frac{1}{3}\pi r^2h\\$

Putting all the values

$Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3$

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

$\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05$

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

#LearnwithBrainly

4 0

2 years ago

F(x) = 5х – 3<br> f(5) =

Sophie [7]

Answer:

f(5)=22

Step-by-step explanation:

since x=5 substitute 5 with x

f(5)=5(5)-3

multiply

f(5)=25-3

subtract

f(5)=22 :)

4 0

2 years ago

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What is the prime factorization of 58

PtichkaEL [24]

29 2 and 1 are the answers

7 0

3 years ago

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