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Lena [83]
1 year ago
7

Find three consecutive EVEN integers such that the sum of the smallest number and twice the middle number is 20 more than the la

rgest number. I'm so confused.
Mathematics
1 answer:
nordsb [41]1 year ago
5 0

define the 3 numbers

smallest number = x

middle number = x + 2

largest number = x + 4

write the equation

sum of the smallest number and twice the middle number

\begin{gathered} x+2(x+2) \\ x+2x+4 \\ 3x+4 \end{gathered}

20 more than the largest number

\begin{gathered} x+4+20 \\ x+24 \end{gathered}

equal the expressions

\begin{gathered} 3x+4=x+24 \\ 3x-x=24-4 \\ 2x=20 \\ x=\frac{20}{2} \\ x=10 \end{gathered}

the numbers should be 10, 12 and 14

\begin{gathered} 10+2\cdot(12)=14+20 \\ 10+24=34 \\ 34=34 \end{gathered}

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iogann1982 [59]

Answer:

<u>39.5 miles/gallon.</u>

Step-by-step explanation:

6 gallons of gas used to drive 237 miles

The rate of her car uses gas in miles per gallon =

\frac{237 miles}{6 gallons} = \frac{237}{6} = 39.5 \ miles/gallons

Which mean the car will consume 1 gallon for each 39.5 miles.

7 0
3 years ago
RectangleABCD has vertices at A(– 3, 1),B(– 2, – 1),C(2, 1), andD(1, 3). What is the area, in square units, of this rectangle? A
Anna [14]

Answer:

Option A. 10\ units^{2}

Step-by-step explanation:

we know that

The area of the rectangle is equal to

A=LW

where

L is the length of rectangle

W is the width of rectangle

we have

A(-3,1),B(-2,-1),C(2,1),D(1,3)

Plot the vertices

see the attached figure

L=AD=BC

W=AB=DC

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

<em>Find the distance AD</em>

A(-3,1),D(1,3)

substitute in the formula

AD=\sqrt{(3-1)^{2}+(1+3)^{2}}

AD=\sqrt{(2)^{2}+(4)^{2}}

AD=\sqrt{20}

AD=2\sqrt{5}\ units

<em>Find the distance AB</em>

A(-3,1),B(-2,-1)

substitute in the formula

AB=\sqrt{(-1-1)^{2}+(-2+3)^{2}}

AB=\sqrt{(-2)^{2}+(1)^{2}}

AB=\sqrt{5}

AB=\sqrt{5}\ units

Find the area

A=(2\sqrt{5})*(\sqrt{5})=10\ units^{2}

4 0
3 years ago
Solve the quadratic by factoring 4x2+x=-7x-3
DedPeter [7]

Answer:

x = -3/2

x = -1/2

Step-by-step explanation:

4x^2 + 8x + 3

4x^2 + 2x + 6x + 3

2x(2x+1) + 3(2x+1)

(2x + 3) (2x + 1)

x = -3/2

x = -1/2

4 0
3 years ago
Divide x³-4x²+5x-2 by x-2​
tatyana61 [14]

Answer:                                            

p(x)=x^3-4x^2+5x-2

=(2)^3-4(2)^2+5(2)-2

=8-4(4)+10-2

=8-16+10-2

=0

hope it helps mark as brainliest

8 0
3 years ago
Read 2 more answers
6x+18y=18 find y and z
Masja [62]

6x + 18y = 18. Let us take x = 0

6(0) + 18y = 18

0 + 18y = 18

18y = 18

y = 18/18

y = 1

(0, 1) [x = 0, y = 1]

6x + 18y = 18. Let us take y = 0

6x + 18(0) = 18

6x + 0 = 18

6x = 18

x = 18/6

x = 3

(3, 0) [x = 3, y =0]

Infinite solutions can be found for x and y

3 0
3 years ago
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