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Sav [38]
3 years ago
15

Twice a number increased by 28=48 plus the number

Mathematics
1 answer:
Dima020 [189]3 years ago
3 0
2x+28=48+x\\
2x-x=48-28\\
x=20
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If you are traveling 543 miles and you know that your car gets 18 miles per gallon of gasoline, approximately how many gallons o
Inga [223]

we know that

the car gets 18 miles per -----------> 1 gallon of gasoline

so

for 543 miles ---------------------> x gallons of gasoline


by proportion

543/18=x/1---------->x=543/18------->x=30.17 gallons


therefore


the answer is

30.17 gallons

6 0
3 years ago
Solve 5x-y=5 and 2y-x^2=11 without using trial improvement
iren2701 [21]

Answer:

x = 7, y = 30  and  x = 3, y = 10

Step-by-step explanation:

5x - y = 5, then y = 5x - 5

2y - x^2 = 11

2(5x - 5) - x^2 = 11

10x - 10 - x^2 = 11

-x^2 + 10x -10 = 11

-x^2 + 10x -21 = 0

x^2 - 10x + 21 = 0

(x - 7)(x - 3) = 0

x = 7, y = 30

x = 3, y = 10

8 0
3 years ago
Solve and in standard form please. you must add. this is from khan academy
Sindrei [870]
We are asked to sum the two trinomials (-4f^3-5f+16)+(4f^2-f+9). We can start by using the distributive property to remove the parenthesis, giving us -4f^3-5f+16+4f^2-f+9. Next, when we combine like terms, we get \boxed{-4f^3+4f^2-6f+25}. Hope this helped!
8 0
3 years ago
Read 2 more answers
Write an equation of the line through each pair of points in slope-intercept form.
ASHA 777 [7]

Answer:

see below

Step-by-step explanation:

a) (– 3, –2) and (–3, 4)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(4 - (-2) / (-3 - (-3))

Simplify the parentheses.

= (4 + 2) / (-3 + 3)

Simplify the fraction.

(6) / (0)

= undefined

If your slope is undefined, it is a vertical line. The equation of a vertical line is x = #.

In this case, the x-coordinate for both points is -3.

Therefore, your equation is x = -3.

b) (3, 2) and (–4, –5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-5 - 2) / (-4 - 3)

Simplify the parentheses.

= (-7) / (-7)

Simplify the fraction.

-7/-7

= 1

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (3, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 1(3) + b

To find b, multiply the slope and the input of x(3)

2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-1 = b

Plug this into your standard equation.

y = x - 1

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, -5).

y = 1x - 1

-5 = 1(-4) - 1

-5 = -4 - 1

-5 = -5

Your equation is correct.

Hope this helps!

7 0
3 years ago
Hurry please!!! Fast response
AlladinOne [14]

Answer:

A.

SA= \frac{2}{3} \pi rl+16 \pi r^2

Step-by-step explanation:

Surface area of the original cone

SA= \pi r l + \pi r^2... (1)

When, radius is quadrupled and slant height is reduced to one sixth

i. e. \: \:r = 4r\: \: \&\:\: l= \frac{1}{6}l

Plug the above values of r and l in equation (1), new surface area becomes:

SA= \pi (4r)\times \frac{1}{6} l+ \pi (4r)^2

SA= \frac{4}{6} \pi rl+16 \pi r^2

\huge \purple {\boxed {SA= \frac{2}{3} \pi rl+16 \pi r^2}}

8 0
2 years ago
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