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3 years ago

Solve the equation. −10x + 1 + 7x = 37

2 answers:

8 0

You combine like terms which are -10x and 7x and 1 and 37. Then it becomes -3x=36. x would equal to 36/-3, which is -12.

ycow [4]3 years ago

6 0

−10x+1+7x=37

Simplify both sides of the equation.

−10x+1+7x=37

Simplify:

−10x+1+7x=37

(−10x+7x)+(1)=37(Combine Like Terms)

−3x+1=37

−3x+1=37

Subtract 1 from both sides.

−3x+1−1=37−1

−3x=36

Divide both sides by -3.

−3x/−3 = 36/−3

x=−12

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he width and length of a rectangle (in feet)are consecutive odd integers. If the length is increased by 5 feet, the area of the

Ivanshal [37]

The original area of the rectangle is $35ft^{2}$

<u>Explanation:</u>

width = x

length = x + 2

area of the rectangle = x (x+2)

length = x + 2 + 5 = x+7

$60 = (x+7) (x)\\60=x^{2} + 7x\\x^{2} + 7x - 60 =0\\$

Solving this equation, we get

x =5ft

So, original width = 5ft

original length = 5+2ft = 7ft

Thus, original area of the rectangle = 5 X 7ft = $35ft^{2}$

Therefore, the original area of the rectangle is $35ft^{2}$

3 0

4 years ago

Helppp pleaseee this is due on 10 minutes with explanation pleasee thank you

Nat2105 [25]

Answer:

Jed's Market

Step-by-step explanation:

Find out the cost of one candy bar for each store:

Smith's:

9.00 ÷ 3 = $3.00

Green's:

10.00 ÷ 4 = $2.50

Jed's:

12.00 ÷ 5 = $2.40

Wan's:

It already tells you the price for each: $2.75

Finding the best deal:

Look at all our costs per 1 candy bar. Which one has the smallest price?
Because $2.40 is the smallest price, Jed's Market has the best buy.

I hope this helps!

8 0

3 years ago

Which of the following are solutions to the equation below?

Reptile [31]

Answer:

Option B and D

Step-by-step explanation:

Subtract 9 from both sides :

4x² + 4x - 8 = 0

Divide both sides by 4 :

x² + x - 2 = 0

Factorise using factorisation method :

x² - x + 2x -2 = 0

x(x - 1) +2(x-1) = 0

(x+2)(x-1) = 0

Solve for x

x +2 = 0 OR x - 1 = 0

x = -2 OR x = 1

Answer will be Option B and D

Hope this helped and have a good day

7 0

2 years ago

Read 2 more answers

A cone has a volume 8pie cubic inches. And 6in height

dalvyx [7]

Answer:

r=1.3in

Step-by-step

hope this helps:)

5 0

2 years ago

NEED HELP Find values for a, b, c, and d so that the following matrix product equals the 2X2 identity matrix. Explain or show ho

ehidna [41]

We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

b = 1
a = -1
c = -2
d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

$\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

The matrix product will be:

$\left[\begin{array}{cc}-b + 2&-c + 2d\\a*b + 1&a*c + d\end{array}\right]$

Then we must have:

-b + 2 = 1

This means that:

b = 2 - 1 = 1

b = 1

We also need to have:

a*b + 1 = 0

we know the value of b, so we just have:

a*1 + b = 0

a = -1

Now the two remaining equations are:

-c + 2d = 0

a*c + d = 1

Replacing the value of a we get:

-c + 2d = 0

-c + d = 1

Isolating c in the first equation we get:

c = 2d

Replacing that in the other equation we get:

-(2d) + d = 1

-d = 1

d = -1

Then:

c = 2d = 2*(-1) = -2

c = -2

So the values are:

b = 1
a = -1
c = -2
d = -1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

4 0

3 years ago