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3 years ago

How many solutions does 5(x+9)=5x+45 have

Mathematics

1 answer:

Scilla [17]3 years ago

7 0

Answer:

Simplifying

5(x + 9) = 5x + 45

Reorder the terms:

5(9 + x) = 5x + 45

(9 * 5 + x * 5) = 5x + 45

(45 + 5x) = 5x + 45

Reorder the terms:

45 + 5x = 45 + 5x

Add '-45' to each side of the equation.

45 + -45 + 5x = 45 + -45 + 5x

Combine like terms: 45 + -45 = 0

0 + 5x = 45 + -45 + 5x

5x = 45 + -45 + 5x

Combine like terms: 45 + -45 = 0

5x = 0 + 5x

5x = 5x

Add '-5x' to each side of the equation.

5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0

0 = 5x + -5x

Combine like terms: 5x + -5x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions

Step-by-step explanation:

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Answer:

1/4 or 25% chance

Step-by-step explanation:

the probability of getting each question right is 1/2, so for getting 2 questions right its 1/2 × 1/2, which is 1/4

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3 years ago

4. Combine Like terms: -7(2 + 3x) + (-3x)(-5) + 9*<br> -7x + 5<br> 0 -7X-5<br> O 7x-5<br> O 7x + 5

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3 years ago

Read 2 more answers

Find the value of x. Also with explanation please

ziro4ka [17]

Answer:

x+90°+130°=360°

x+220°=360°

x=360°-220°

x=140°

8 0

3 years ago

Task I

Sever21 [200]

Answer:

The total money invested in the field will be $\$1,623.80$

Step-by-step explanation:

step 1

Find the dimensions of the field

Let

x -----> the length of the field

y -----> the width of the field

we know that

The perimeter of the field is equal to

$P=2(x+y)$

$P(4.80)=1,584$

$P=330\ m$

$330=2(x+y)$ ----> equation A

$x=4y-10$ ------> equation B

substitute equation B in equation A and solve for y

$330=2(4y-10+y)$

$165=(5y-10)$

$5y=165+10$

$y=35$

Find the value of x

$x=4(35)-10=130$

therefore

The length of the field is 130 meters and the width of the field is 35 meters

step 2

Find the area of the field

The area of the field is

$A=xy$

substitute

$A=(130)(35)=4,550\ m^2$

step 3

Find the number of bags of seed

Divide the area by 460

$4,550/460=9.89\ bags$

Round up to the nearest whole number

$9.89=10\ bags$

step 4

Find the cost of the seed

$(10)(3.98)=\$39.8$

step 5

Find the total money invested in the field

$\$1,584+\$39.8=\$1,623.80$

8 0

4 years ago

The first two steps in determining the solution set of the system of equations y=x to the second power -2x-3 and y=-x+3

Arisa [49]

The solution set for the both equation is (3,0) and (-1,0)

We have given that the equation

$y=x^2-2x-3 \ and\ y=x+3$

We have to determine the solution to the first equation

<h3>What is the quadratic equation formula?</h3>

$\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-3\right)}}{2\cdot \:1}$

$x_{1,\:2}=\frac{-\left(-2\right)\pm \:4}{2\cdot \:1}$

$x_1=\frac{-\left(-2\right)+4}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-4}{2\cdot \:1}$

$x=3,\:x=-1$

Now use this value we have to find the value of y

When x=3 then

y=(3)^2-2(3)-3

y=9-6-3

y=0

When x=-1 then y=1-2(-1)-3

y=1+2-3

y=0

Therefore the solution set for both equations is (3,0) and (-1,0).

To learn more about the solution set visit:

brainly.com/question/10588366

#SPJ1

7 0

2 years ago