Mathematics High School

How many solutions can be found for the equation 5x + 3(x − 1) = 10x − x − 5? (4 points)

a
No Solution

b
One

c
Two

d
Infinitely many

Answers

Answer 1

Answer:

The correct option is b.

Step-by-step explanation:

To find the number of solutions, we need to solve the equation:

[tex] 5x + 3(x - 1) = 10x - x - 5 [/tex]

Let's group all the "x" on the equation.  

[tex] 5x + 3x - 10x + x = 3 - 5 [/tex]              

Now, let's solve for "x".

[tex] -x = -2 [/tex]                

[tex] x = 2 [/tex]    

Therefore, the equation has one solution. The correct option is b.

I hope it helps you!            

Related Questions

1. The base of a rectangular prism has an area of 20 square inches. If the prism has an altitude of 8 inches, determine and state the volume of the prism, in cubic inches?

Answers

Answer:

160 in^3

Step-by-step explanation:

To find the volume, you do the base x height. If the base if 20 in^2 and the altitude is 8 in, then the volume is 20 * 8 in^3

20 * 8  = 160

What is the measure of angle z in this picture?

Answers

Answer:

z = 137 degrees

Step-by-step explanation:

Angle 43 and angle z make a straight line, which is 180 degrees

43+z = 180

Subtract 43 from each side

43+z-43 = 180-43

z =137

*PLEASE HELP*
The table to the right shows the results of a survey taken
of what students wanted to have as their first car.
The options were sedan (4-door car), truck, SUV, coupe (2-door car), or other.

What are the odds that a student chose either a truck or an SUV?

A). 35/112
B) 29/56
C) 23/112
D) 31/56

Answers

Answer:

So we have either a truck or a SUV

so we need the probability of both

35+23/Total

so 35/112

HELP ME giving brainlest

Answers

Answer:

The answer is false.

Step-by-step explanation:

THE reason why it is false is because if so that wouldnt make any sense.

Solve the equation. 36^6x-1 = 6^5x

Answers

The answer of the question which you asked above is
36^6x-6^5x=1

which shows the equation y= -1/2x + 5 written standard form ?

x + 2y= 10
x - 2y=10
x+ 2y=-10
x+2y=-10
x - 2y = 10

Answers

Answer:

x + 2y = 10

Step-by-step explanation:

[tex]y = - \frac{1}{2} x + 5 \\ \\ 2y = - x + 10 \\ \\ x + 2y = 10[/tex]

what is the slope of a line that passes through (2, -5 ) and (6, -2 )

Answers

Answer:

3/4

Step-by-step explanation:

-2-(-5) divided into 6-2

-2 +5 divided into 4

3 divided into 4

Answer:

Answer:

3/4

Step-by-step explanation:

-2-(-5) divided into 6-2

-2 +5 divided into 4

3 divided into 4

Step-by-step explanation:

What is the volume of this square pyramid?

Answers

Answer:

400m^3

Step-by-step explanation:

Answer: [tex]400m^{2}[/tex]

Step-by-step explanation:

In order to solve this square pyramid's volume, we use the formula:

V = 1/3(B)(h)

Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:

1/3(10*10)(12)

Now we solve:

1/3(100)(12)

1/3(1200)

400

When you find one more
than a number, only the
ones digit will change.

Can you give some examples please?

Answers

Answer:

15

Step-by-step explanation:

literally any number +1
10+1=12
20+1=21

Light travels at a rate of about 9,460,528,400,000,000 m per year.
Choose the best approximation of how many meters light travels per year.
Choose 1 answer:
(A) 9x10^15
(B) 9x10^16

Answers

Answer:

A

Step-by-step explanation:

You just find out which number is closer to the speed of light

Answer:

9x10^15

Step-by-step explanation:

9,460,528,400,000,000

If you count the numbers up until 9 you get 15. So the easy hack is to just count the numbers up until the VERY first then whichever answer had that number is the right one.

Part A: If Angle A and Angle B are vertical angles, what is value of x
A. 8
B. 10
C. 35
D. 28

Answers

Answer:

A. 8

Step-by-step explanation:

Since ∠A and ∠B are vertical, we can create the equation: 40 = 5x.

40 = 5x

There is only one other thing we need to do, and that's divide by 5.

40/5 = x

x = 8

The value of x in this case is 8, which is A.

Please only answer if you can help!! Which statements describe the end behavior of f(x)?
Look at the pictures down below

Answers

Answer:

Step-by-step explanation:

Let’s start seeing what happens to the left. It stops before x = -1, but it continues to do down

so as x approaches  -1, y approaches -oo

Now we have to see what happens to the right. In the case the graph doesn’t stop and it keeps to go up

so as x approaches oo, y approaches oo

factor 2^2 - 23x + 11​

Answers

it’s 15 - 23x

have a great day!

Answer:

15-23x

Step-by-step explanation:

What's the value of
[tex] \sqrt{25 \times 25 \times 2 \times 2} [/tex]
​

Answers

Answer:

[tex] \sqrt{25 \times 25 \times 2 \times 2} \\ 25 \times 2 \\ = 50[/tex]

Given the figure below, find the value of x and y. Thank you!

Answers

z = 61 and x = 12!!!!

Kayden earn a total of $10 for two hours yard work. After doing a total of three hours of yardwork, how much money will Kayden have earned? Assuming relationship in directly proportional

Answers

Answer: $15

Step-by-step explanation:

Half of $10 would be $5 so 3 hrs would be $15?

Answer:

15, 10 divided by 2 is 5 + 10 from the 2 hours. also mans is getting underpaid

Step-by-step explanation:

Expand the following 4(2x-5)

Answers

Answer:

y=4(2x-5)

Step-by-step explanation:

that's the expanded form.

please, please help!!! and show work if possible!! tysm :)))

Answers

Answer:

everything on the right multiplied by 3 is congruent to the one on the left. they are the same except one triangle is bigger

. Frosty Snacks sells ice cream in a cylindrical cup and in cones.

The small cup of ice cream has a height of 4 inches and a radius

of 2 inches. The small cone has a height of 6 inches and a

diameter of 5 inches. How much more ice cream will fit into a

small cup than a small cone? Use 3.14 for pi.

Answers

Answer:

10.99 in^3

Step-by-step explanation:

Steps to determining the answer

determine the volume of the cylinderdetermine the volume of the conefind the difference in volumes

volume of a cylinder = nr^2h

n = 3.14

r = radius

3.14 x 4 x 2² = 50.24 in³

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius

A radius is half of the diameter = 5/2 = 2.5 in

h = height  

(1/3) x 3.14 x 2.5² x 6 = 39.25 in³

difference = 50.24  - 39.25 = 10.99 in³

Maria went shopping at Macy's. She bought a pair of slacks that were on sale for 15%. The original price was $40.00 dollars. She bought a shirt that was on sale for 14% off the original price of $30.00. She had to pay a tax of 6.79%. What was the total amount of her sale?

Answers

Answer:

3.27

Step-by-step explanation:

whats the median and the mode of the data 43,37,49,51,56,40,44,50,36,

Answers

Answer:

Here I have uploaded the file with the answers

Step-by-step explanation:

PLEASE HELPansnnshejsebiednejdndhdndjbdrurndirnfjg

Answers

Answer:

C. Point S

Step-by-step explanation:

Which fractions have a LCD of 30?
A. 3/4, 1/7, and 1/6
B. 2/3, 1/5, and 1/5
C. 2/15, 1/4, and 1/3
D. 2/3, 1/6, and 1/5

Answers

Answer:

D. 2/3 1/6 1/5

Step-by-step explanation:

Answer:

Explanation:

A straight line L is perpendicular to line 3x-2y+4=0. The area of triangle formed by the line L and coordinate axes is 27 sq.unit find equation of line L​

Answers

First write the equation in the standard form of y=mx+c
3x-2y+4=0
3x+4=2y
( divide by 2)
3/2x+2=y
Now let’s find the perpendicular line to y=3/2x+2
You just have to get the opposite of the slope 3/2 which is -2/3
If you multiply 3/2 by -2/3 you will get -1 this proofs it really is the perpendicular slope your are looking for
Hence
The equation of line L is
y=-2/3+2

Use SSS to explain why ABC = CDA are congruent !!!!!!!! Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!

Answers

Answer:

ABC=CDA because AB is congruent to CD and AC=AC and DA=AB

I hope this is what you were looking for

Your condominium mortgage payments are $736.90 per month. You pay $35.80 for PMI and $100 for HOA fees each month. What are your monthly fixed condominium expenses?

Answers

Anwser: 601.1
Step by step explanation:
$736.90- ($35.80+ $100) = 601.1 $

Your aunt has baked 80 cookies, and she gave you 28 to take home with you. What percent of the cookies did she give to you? What percent of the cookies did she keep?

Answers

you took 35% of the cookies and she took 65%

3h+4> 13
I will give Brainly

Answers

Answer:

h > 3

Step-by-step explanation:

3h+4>13

3h+4-4>13-4 (subtract 4 from both sides)

3h>9 (divide both sides by 3)

h>3

h > 3 is the answer im pretty sur

What does it mean if (3, 2) is a solution of

{

y = x - 1

y = -x + 5

?

Answers

(x,y) = (3,2)

y = x - 1

2 = 3 - 1

2 = 2

y = -x + 5

2 = -3 + 5

2 = 2

If (3, 2) is a solution of the system y = x - 1 and y = - x + 5 then the ordered pair (3, 2) satisfies both equations simultaneously.

What is the graphical solution of a system of equations?

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Given, The system of equation y = x - 1 and y = - x + 5 has a

solution (3, 2).

If the ordered pair (3, 2) is a solution of both equations this implies that this ordered pair satisfies both equations simultaneously.

For,

y = x - 1.

At, x = 3,

y = 3 - 1

y = 2   (satisfied).

For,

y = - x + 5.

At, x = 3,

y  - 3 + 2.

= 2     (satisfied).

learn more about the system of equations here :

https://brainly.com/question/19549073

#SPJ5

Find the cosine of ZS.
37
S
T T
12
35
R
Simplify your answer and write it as a proper
fraction, improper fraction, or whole number.
COS (S) =



Geometry

Answers

Step-by-step explanation:

cos=adj/hyp cos=12/37=cos-1 0.324

=71.09°

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