Evaluate expressions-Match each expression to another expression with the same value

Answer:

Step-by-step explanation:

let the numbers be n,n+2,n+4

2n+3(n+2)=2(n+4)+55

2n+3n+6=2n+8+55

2n+3n-2n=63-6

3n=57

n=57/3=19

so numbers are 19,21,23

Answer:

-19.333…

-18.333…

-17.333…

Step-by-step explanation:

First is x

Second is x+1

Third is x+2

2x+3(x+1)=2(x+2)-55

2x+3x+3=2x+4-55

5x+3=2x-51

5x-2x=-51-3

3x=-58

3x/3=-58/3

x=-19.333…

x+1=-19.333+1

=-18.333...

x+2=-19.333+2

=-17.333...

Answer: 2.20 per candy bar

Step-by-step explanation:

1. 0.40(25) + x(25) = 65

2. 10 + 25x = 65

3. 25x = 55

4. x = 2.20

Answer:

6.58 x 10 ^ -2

Step-by-step explanation:

that's 10 to the negative 2 power.

it creates a smaller number. moving decimal to left 2 places.

.0658 meters

Answer:

24

Step-by-step explanation:

ate 4 pounds 6 times because monday, tuesday, wednesday, thursday, friday, saturday.

therefore 4x6= 24

Answer:

20.5 miles per gallon

Step-by-step explanation:

To determine the miles per gallon, take the miles and divide by gallons

164/8

20.5

Answer:

(1,0) (0,-3)

Step-by-step explanation:

x then y a baby crawls before it walks.

Answer:

D answer

Step-by-step explanation:

x=- 1/ 2 answer is d.

Answer:

155,588

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = growth rate

N = number of years 2021 - 2014 = 7

130,000(1.026)^7 = 155,587.6

rounding off to the nearest whole  number is 155,588

To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

I used process of elimination to solve this: its is A.

I was confused about the 's' in Sw=64 so i decided it had to be either 5 or 8. its 8

8*8=64

charges for per person = $4.50

a flat fee of = $45

no.of people = p

Answer:

No, it's not a function

Step-by-step explanation:

In a function each input has one and only one output

Here an input of -3 has two outputs 2 and 1

Answer:

We need to know the question??

Step-by-step explanation:

Answer:

The graph of a linear equation forms a straight line, whereas the graph for a non-linear relationship is curved. ... A non-linear relationship reflects that each unit change in the x variable will not always bring about the same change in the y variable

Answer:

A, P, M, S, W, Q

Step-by-step explanation:

Complete Question

Yana though of a number she multiplied it by 8 subtracted 4 divided the result by 2, and got 30. What number did Yana think of

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

From the question we are told that:

Thought of Number x

Multiplied it by 8

 [tex]x*8=8x[/tex]

Subtracted 4

 [tex]8x-4[/tex]

Divided the result by 2

 [tex]\frac{8x-4}{2}[/tex]

Generally the equation for x is mathematically given by

 [tex]\frac{8x-4}{2}=30[/tex]

 [tex]8x-4=60[/tex]

 [tex]8x=60+4[/tex]

 [tex]x=8[/tex]

Answer:

25%

bc its 1/4 = 0.25 of the purchase price.

the other percentage is 45

108/240 = 54/120 = 18/40 = 4.5/10 = 45/100

Answer:

8 2/3

Step-by-step explanation:

Hey buddy I am here to help!

5. y = ax + b

-5 = a*4 + b

-5 = 4a + b

If we take a as -2

-5 = 4*-2 + b

-5 = -8 + b

b = -5 - (-8)

b = -5 + 8

b = 3

so... a = -2 and b = 3

6. (i) y = 5x - 2

(1,7)

y = 7 & x = 1

7 = 5*1 -2

7 = 5 - 2

7 = 3

so this point (1,7) is wrong

(ii) y = 5x -2

we can take any value for x...

e.g. x = 2

y = 5*2 - 2

y = 10 -2

y = 8

SO answer in this case would be (2,8)

Plz mark my answer brainliest

Answer:

The triangles are congruent

Step-by-step explanation:

The Triangles are congruent because they have the same side lengths and and angle measures.

Given:

The graph of a line.

To find:

The equation of the line.

Solution:

From the given graph, it is clear that the line passes through the points (0,-2) and (-6,8). So, the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{8-(-2)}{-6-0}(x-0)[/tex]

[tex]y+2=\dfrac{10}{-6}x[/tex]

[tex]y+2=-\dfrac{5}{3}x[/tex]

Subtract 2 from both sides.

[tex]y=-\dfrac{5}{3}x-2[/tex]

Therefore, the equation of the line is [tex]y=-\dfrac{5}{3}x-2[/tex].

Answer:

B

Step-by-step explanation:

time = 8 years

principle = 6000

Money earned = 3000

Money earned= p * r * t

3000 = 6000 * r/100 * 8

3000 = 48000 * r/100

3000 = 480 * r

3000 / 480 = r

6.25 % = r

Answer:

Center (3, -8), radius = [tex]\sqrt{39}[/tex]

Step-by-step explanation:

The Standard Form for the equation of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

The center is the point (h, k) and the radius is r.

Match up the given equation with the standard form.

[tex](x-h)^2=(x-3)^2 \rightarrow h=3\\(y-k)^2=(y+8)^2 \rightarrow k=-8[/tex]

That last bit can be tricky, k = -8, not 8.  Watch the signs!

Answer:

D,0,2,-2

Step-by-step explanation:

2x^5-3x^3-20x=0

x(2x^4-3x^2-20)=0

x=0

or 2x^4-3x^2-20=0

put x²=t

2t²-3t-20=0

-20×2=-40

8-5=3

8×-5=-40

2t²-(8-5)t-20=0

2t²-8t+5t-20=0

2t(t-4)+5(t-4)=0

(t-4)(2t+5)=0

t=4

x²=4

x=2,-2

t=-5/2

x²=-5/2

it gives imaginary  root. so real rational roots are 0,2,-2

Answer:

D

Step-by-step explanation:

1) Factorise x

x(2x^4-3x^2-20) = 0

a product is equal to 0 when at least one factor is equal to 0.

so a solution is

x = 0

we have now to solve

2x^4 - 3x^2 - 20 = 0

we can put

x^2 = y

and we have

2y^2 - 3y - 20 = 0

it is now an equation of second degree

Δ = 9 + 160 = 169

y1 = (3 + 13)/4 = 4

y2 = (3 - 13)/4 = -10/4 = -5/2

for the previous relationship we have

x^2 = 4

x = 2

x = -2

x^2 = -5/2

a square number can’t be negative, so this equation is impossible.

In conclusion we can say that the original equation has three solution:

0, -2, 2

The value of [tex] \:\frac{ - 9 + ( - 11)}{4} + 8\:[/tex] is [tex]3[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{ - 9 + ( - 11)}{4} + 8 \\ \\ = \frac{ - 9 - 11}{4} + 8 \\ \\ = \frac{ - 20}{4} + 8 \\ \\ = - 5 + 8 \\ \\ = 3[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

[tex]\sf\red{(+\:x\:-)\:=\:-}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

x = -4

Step-by-step explanation:

to find the axis of symmetry use this formula:

x = -b/2a

if this problem, a = 1, b = 8, c = 16

x = -8/2(1)

x = -4

Answer:

-(5-3) is the answer bcoz - make 5 negative and 3 positive

Step-by-step explanation:

I hope this will help you

Answer:

18.9 km²

Step-by-step explanation:

Formula for area of a triangle: [tex]\frac{1}{2}bh[/tex]

0.5(7 × 5.4) = 18.9 km²

Answer:

A = 1/2 bh

1/2 x 7 x 5.4

= 18.9km2

Answer:

C

Step-by-step explanation:

Given

| 6x - 5 | = 7

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

6x - 5 = 7 ( add 5 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

OR

- (6x - 5) = 7 ← distribute parenthesis on left side by - 1

- 6x + 5 = 7 ( subtract 5 from both sides )

- 6x = 2 ( divide both sides by - 6 )

x = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]

Then solutions are x = 2, x = - [tex]\frac{1}{3}[/tex] → C