Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the following equation algebraically. Show your work. 17 = − 13 − 8 x

Answers

Answer 1

The solution to the given expression is -15/4

Equations are expressions separated by an equal sign.

Given the expression 17 = -13 -8x

Add 13 to both sides

17 + 13 = -13 - 8x + 13

30  = -8x

Swap sides

-8x = 30

Divide both sides by -8

-8x/-8 = -30/8

x = -30/8

x = -15/4

Hence the solution to the given expression is -15/4

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Related Questions

Write equations for the horizontal and vertical lines passing through the point (1,7) .

Answers

Answer:

horizontal line: y = 7

vertical line: x = 1

Step-by-step explanation:

make y the subject of the formula
x=13(t-4y) over y

Answers

Answer:

make y the subject of the formula

x=13(t-4y)

Step-by-step explanation:

y=mx+c  

⟹(y)−c=(mx+c)−c  

⟹y−c=mx+(+c−c)  

⟹y−c=mx+0  

⟹y−c=mx  

⟹mx=y−c  

⟹mx×(1m)=(y−c)×(1m)  

⟹x×(mm)=1m(y−c)  

⟹x×1=1m(y−c)  

⟹x=1m(y−c)

The subject of the formula for y is y = 13t / x(1 + 52/x).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given the equation as:

x = 13(t - 4y) / y

We have to make y the subject of the formula

x = 13(t - 4y) / y

Cross multiplication to get,

y = 13(t - 4y) / x

y = (13t - 52y) / x

y = 13t / x - 52y / x

Now group the y terms together and we get

y + 52y / x = 13t / x

The factor out the y to get

y(1 + 52/x) = 13t / x

y = 13t / x(1 + 52/x)

Therefore, the subject of the formula for y is y = 13t / x(1 + 52/x).

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Rewrite the proportion 7:21 = 3:9 as a proportion using fractions.

Answers

Answer:

7/21=3/9

Step-by-step explanation:

7/21=3/9=1/3 - Ratios are basically the same as fractions

Answer:

[tex] \\ 7 \ratio21 = 3 \ratio9[/tex]

[tex] \\ \frac{7}{21} = \frac{3}{9} [/tex]

Giovanni can read 100 words per minute. If there are approximately 400 words on a page, about how many pages can he read in 2 hours?

Answers

Answer:

Step-by-step explanation: she can read 15  pages an hour but she read for 2 hours so she read 30 pages

slope and y intercept for 2y-8=6x

Answers

Answer:

slope = 3

y intercept = 4

Step-by-step explanation:

Rearrange the equation so y is the subject.

1. Add 8 to both sides

2y = 6x + 8

2. Divide both sides by 2

y = 3x + 4

Voilà, you got your answer in the line format, y = mx + c, where m is the slope and c is the y intercept.

Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:

third side = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = (2[tex]\sqrt{13}[/tex] )²

x² + 16 = 52 ( subtract 16 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

Solve for x
5-3x - 1 = 25

Answers

Answer: Solve for x

x =  -7

Answer:

=  − 7

Step-by-step explanation:

5 - 3x -1 = 25

4 - 3x = 25

-3x + 4 = 25

-3x + 4 - 4 = 25-4

The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the triangle​

Answers

The right triangle is assumed to be inscribed in the rectangle, such that

hypotenuse is the diagonal of the rectangle.

The length of the hypotenuse of the triangle is 26 cm.

Reasons:

Let x and y represent the length of the sides of the rectangle

Whereby the base and height of the right triangle are the same as the

length and width of the rectangle, we have;

Perimeter of the rectangle = 2·x + 2·y = 68

Therefore;

[tex]\displaystyle x + y = \frac{68}{2} = 34[/tex]

x + y = 34

The base of the right triangle = x

The height of the right triangle = y

By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)

Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60

Which gives;

√(x² + y²) = 60 - (x + y) = 60 - 34 = 26

The length of the hypotenuse side, √(x² + y²) = 26 cm

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Simplify 6^-3/6^5
answers:
• 6^8
• 6^-2
• 1/6^8
• 1/6^2​

Answers

When you divide same numbers with exponents you would subtract the exponent: a^2/a^1 = a^(2-1) = a

Therefore: 6^-3/6^5 = 6^(-3-5) = 6^-8
Which is also 1/6^8

Solution: C

What is the equation of the line shown in the graph?

Answers

Answer:

slope-intercept form. y = _ + _  阿ㄐ高

Step-by-step explanation:

Will give brainliest if right

Answers

Answer:

y=-5x-12

y=-0.5x-5

y=-0.5x+0.5

y=-4.5x+3

y=-2x+7

y=2.5x+10

Step-by-step explanation:

what is 18,678,789 times 67,897,867

Answers

The answer is 1.2682499e+15

please help and show work

Answers

Answer:

Just do scan and solve by brainly really helpful ngl

Step-by-step explanation:

I NEED THE ANSSWER ASAP!!

Which situation would best be represented by positive 32?​

Answers

D. Spending, dropping, and decreasing all signal subtraction. D is the only reasonable answer

The length of a rectangle is three times its width.
The perimeter of the rectangle is 24 cm.
Calculate the area of the rectangle.

Answers

Answer:

A = 27 cm²

Step-by-step explanation:

let 'w' = width

let '3w' = length

P = 2l + 2w

24 = 2(3w) + 2w

24 = 6w + 2w

24 = 8w

w = 3

l = 3(3) or 0

A = lw

A = 3(9)

A = 27

6. (4. 1) and (1, 4) are on the line

Answers

Answer: This is used by

Step-by-step explanation:

Slove system of equation.

2x - 6y = 8
-3x + 9y = 12

Answers

answers:

2x - 6y = 8 -> x = 4 + 3y

-3x + 9y = 12 -> x = -4 + 3y

Evaluate the equation. d - 4.12 = 12.8
A) d = 8.58
B) d = 8.68
C) d = 16.92
D) d = 17.02​

Answers

The answer is (C)d=16.92

Answer: i think its D

Step-by-step explanation:

If Don drives 60 miles per hour, can he make it to the beach (200 miles away) in 3 1/2 hours?

Answers

Answer:

Yes

Step-by-step explanation:

If Don drives at 60 miles per hour and drives for 3.5 hours, then he can drive:

60 * 3.5 = 210 miles

Because 210 miles is more than 200 miles, the answer is yes, he can make it to the beach in that time.

a^4 divided by a^-2
please help

Answers

Answer:

hope this helps

Step-by-step explanation:

[tex]a^{6\\}[/tex]

to do this you factor the numerator and denominator and then you cancel the common factors

Please help! 20 Points! Will give brainliest if correct!

Answers

Answer:

first one

Step-by-step explanation:

lemme know if im right

Answer:

first one I think is right

The side of the Australia flag are in a ratio of 1.2.if the flag is 5 feet long what is its height?

Answers

2.5 maybe sorry if i wrong


2.8,

2
1
4
, and

2.45 in order from least to greatest

Answers

Answer: -2.8, -2.45, -2, 1, and 4.

Step-by-step explanation:

Larger negatives go first so -2.8 is the largest and you continue using that method until 1 where the smaller number go first. Positives.

Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran in 55.7 seconds, what was the record?

Answers

Answer:

57 seconds

Step-by-step explanation:

55.7 + 1.3 = 57

Hope this helps!

Answer:

57 seconds

Step-by-step explanation:

Since she beat the record by 1.3 seconds, it means the previous record was 55.7 + 1.3. Therefore, the record was 57 seconds.

A line has a slope of 5 and passes through the point (-1,2).


Write the equation in point-slope form.


Write the equation in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

slope=m= 5

points=(-1,2)

By point-slope form:

[tex]y[/tex]-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])

Substitute the values in formula:

y-2=5(x+1)        (It is the point slope form)

Now,

Slope intercept form:

y-2=5x+5

y=5x+5+2

y=5x+7

If you need to ask any questions, please let me know.

Anyone got any ideas?

Answers

Answer: 36

Step-by-step explanation:

AB = 16 cm

BC = CA = 10 cm

so it's 16 + 10 + 10 = 36

36 is ur answer sorry if wrong

It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?

Answers

Answer:

3/1 tsp. or 3 tsp.

Step-by-step explanation:

3/4 times 4

The picture shows the $4.88 Josephine spent on a package of 4 pens.

Drag the money below to the box to show how much each pen cost.

Answers

Answer:

4 dollars 8 dimes 8 pennies

Step-by-step explanation:

Answer:

Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.

2(1×10^2) CAN ANYONE PLEASE PUT THIS IN SCIENTIFIC NOTATION!?

Answers

Answer: 2 x 10^2 in scientific notation The answer would be 200

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

An open box with a volume of 128 cm3 can be made
by cutting a square of the same size from each corner
of a square piece of metal 12 cm on a side and folding
up the edges. What is the length of a side of the square
that is cut from each corner?

Answers

Answer:

sorry hindi amo marunong ng math

The length of the side of the square that is cut from each corner will be 2 cm or 8 cm.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the cuboid = length × height × width.

The volume of the cube = side³.

Suppose the length of the metal square piece is L = 12 cm and the width of the cut is h as shown below,

Volume of the box = (L - 2h)² × h

(12 - 2h)² × h = 128

4h(6 - h)² = 128

h(36 + h² - 12h) = 32

h³ - 12h² + 36h - 32 = 0

(h - 2)(h² - 10h + 16) = 0

(h - 2)(h² - 8h - 2h + 16) = 0

(h - 2)(h(h - 8) - 2(h - 8)) = 0

(h - 2)(h - 2)(h - 8) = 0

h = 2,8

Hence "The length of the side of the square that is cut from each corner will be 2 cm or 8 cm".

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