What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

All together: 5x - 15 -2x - 2 = 4

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

All together: 3x - 17 = 4

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

20 - 16 = 4

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)


Related Questions

f(x)=2x-3;find f (0), and f(x-3)

Answers

Answer:

f(x) = 2x – 3

f(0) = 2(0) – 3 = -3

f(1) = 2(1) – 3 = 2 – 3 = -1

(f(0) + f(1))/2 = (-3 - 1)/2 = -4/2 (f(0) + f(1))/2 = - 2

nick have collection of 80 cars.3/5 of his toys are bus.the rest are cars and bike.the number of cars are the three time the number of bikes.how many cars are there.

Answers

Answer:

24 cars

Step-by-step explanation:

out of 80 toys, 3/5 are buses- 80 * 3/5 is 48 so there are 48 buses

80 - 48 is 32, 32 of the rest of the toys are cars and bikes

we know that there are 3 times as many cars than bikes, so to find out how many cars and bikes there we can do 3n + n, where n is the number of bikes it also equals 4n

32 = 4n; n = 8

there are 8 bikes, so there are 24 cars

Determine the sum of the following series. ∑n=1[infinity](4^n+8^n/13n)

Answers

N=1 4+7n=71 that is the answer

Please help im so lost Ty btw

Answers

Answer:

1) gradient  (00) (-2 4) = y2-y1 / 2-1 = 4/-2 = -2  m = -2/1  means = m = -2  (negative slope)   2)  gradient  y2-y1 / x2-x1 = 3-0 / 2-0  = 3/2 = (1 1/2)/1   m = 1 1/2  (positive slope) we use the formula y-values divided by the change in the x-values.    The equation of the gradient each goes like this 1) y = -2x   as y is at origin nothing else to add     The equation of the gradient each goes like this 2) y = 1  1/2x     The equation of the point formula  1) we take the y -y1 = m (x +x 1)  =  y-0 = -2x (x +0)  (as m = -2) y = -2(x +0)   and  The equation of the point formula  2)  y - 0 = m ( x +x1)     y - 0 = 1 1/2( x +0)  = y = 1 1/2( x +0)

Which set of numbers shows one number that is about 20 times greater than the other number?

Answers

Using the division operation, the set of number of in which the larger number is about 20 times greater than the lesser number is depicted by the options C and D.

Evaluating each set of number :

1.)

[tex]\frac{2.01 \times 10^{7}}{4.25 \times 10^{6}} = 4.73 [/tex]

2.)

[tex]\frac{4.91 \times 10^{6}}{5.09 \times 10^{3}} = 964.64 [/tex]

3.)

[tex]\frac{8.21 \times 10^{-3}}{4.13 \times 10^{-4}} = 19.88 [/tex]

4.)

[tex]\frac{5.97 \times 10^{4}}{3.12 \times 10^{3}} = 19.13[/tex]

Therefore, the set of numbers which shows a number being about 20 times greater than the other are options C and D

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Can y’all help me with this question

Answers

Answer:

I'm 100% sure it's 50.

Step-by-step explanation:

It will take 10 hours for the tank to become empty.

Use simple interest to find the ending balance​

Answers

Answer: 7788.50

Solving steps:
P = 7400, R = 10.5%, T = 6

F = P + P rt
P = 7400
R = 10.5%
T = 6

F = 7400 + 7400rt

7400 x (12 + 6 x 0.105/12

7400 x (12 + 0.63)/12

7400 x 12.63/12

93462/12

15577/12

15577/2 0.01
7788.50
Answer: 7788.50

Evaluate the expression when a = -3 and c=4. a-3c​

Answers

Answer:

Step-by-step explanation:

c=1/4(A-3c)

4c = A-3c

7c = A

c = A/7

-3-3(4)
-3-12=-15

Answer: -15


Hope this helps!

What is the length of the segment

Answers

Answer:

9 units

Step-by-step explanation:

Help me this is due tomorrow

Answers

Answer:

10.50

Step-by-step explanation:

in total she would have spent 10.50 because 8.75 for the peaches and 1.75 for the ice cream sandwich

if two angle of a right angle triangle are in the ratio 1:2,find them​

Answers

Answer:

let the angles be x,2x

=>90+x+2x=180

=>3x=90

=>x=30

so, the angles are 30,60

let the angles be x,2x

=>90+x+2x=180

=>3x=90

=>x=30

so, the angles are 30,60

5(+25)=875

lets see who will get it right​

Answers

Answer:

X = 150

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

X=150

Step-by-step explanation:

hey can someone please help me with this

Answers

Answer:

no

Step-by-step explanation:

Evaluate 3215.

Enter your answer as a whole number

Answers

Answer:

3215

Step-by-step explanation:

There is no explanation

Go and increase you Intelligence

If x + y = 10 and x - y = 4, find the value of x² - y²

Answers

Answer:

x²-y² = 40

Step-by-step explanation:

Factorising x²-y²:

x²-y² = (x+y)(x-y)

This is due to the property that states:

a²+b² = (a+b)(a-b)

Substituting the given values into the above equation:

x²-y² = (10)(4)

= 40

Hence, x²-y² = 40

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

x² - y²=40 or 7²-3²=40

Step-by-step explanation:

if x=7 that would make y=3

7+3=10 and 7-3=4

7x7=49

3x3=9

49-9=40

Based on what you've read, answer the following questions.
1. Laura bought a rectangular rug for her living room. It measures 9 feet long and 8 feet wide. What is the area of her rug?
2. One can of paint will cover an area of 400 square feet. Will one can of paint be enough to cover an exterior brick wall that is 48 feet long and 9 feet high?
3. Roger owns a one-acre piece of land. The length of the land is 484 feet. What is the width of his property? (Hint: One acre = 43,560 square feet)
4. The Animal World Safari Park is a rectangular piece of land with an area of 323 square miles. The length of the park is 17 miles. What is its width?
5. Penny is making a square tablecloth that has an area of 49 square feet. What is the length of one of its sides?

Answers

Answer:

1. The area is 72 ft².

2. No, one can of paint will not be enough.

3. The width of his property is 90 ft.

4. The width of the park is 19 miles.

5. The length of a side is 7.

Step-by-step explanation:

We will use the formula Area = length x width to answer the questions.

1. 9 x 8 = 72

2. 48 x 9 = 432, 432 > 400

3. 43560/484 = 90

4. 323/17 = 19

5. √49 = 7

Hope this helps!

Answer:

1. The area is 72 ft².

2. No, one can of paint will not be enough.

3. The width of his property is 90 ft.

4. The width of the park is 19 miles.

5. The length of a side is 7.

Step-by-step explanation:

Select all of the number of ways in which a line
and a circle can intersect.

Answers

Answer:

0, 1, and 2

This is the answer

Sksnsjak e oe s 15 shsbsbs
S
S
S



S
S
S
Sms
S

On this math problem please help me

Answers

Answer:

98.25 M/s

Step-by-step explanation:

A box contains plain pencils and 7 pens. A second box contains 6 colored pencils and 2 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction.

Answers

Answer:

it is 3 as a simplified fraction

Step-by-step explanation:

BOX 1) 5 plain pencils and 7 pens.  

BOX 2) 6 color pencils and 2 crayons.  

Plain pencil (first box) ~  5 : 7  

Color pencil (second box) ~ 6 : 2  

Simplify.  

3 : 1   <== Second box

The person above me is right I got the answer correct

I need the answer to this picture below

Answers

Answer:

-4,1,7,15

Step-by-step explanation:

Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.
Estimate -−minus actual temperature (\degree\text{C})(°C)left parenthesis, degree, start text, C, end text, right parenthesis
Person A Person B Person C
-3−3minus, 3 444 888
-1−1minus, 1 -4−4minus, 4 -2−2minus, 2
000 222 555
222 -3−3minus, 3 111
What is the mean value in Fatima's results?

Answers

The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C

Given the data :

Person 1 :

-3, - 1, 0, 2,

Sum = (-3 + (-1) + 0 + 2) = - 2

Person 2 :

4, -4, 2, - 3

Sum = (4 + (-4) + 2 + (-3)) = - 1

Person 3 :

8, - 2, 5, 1

Sum = (8 + (-2) + 5 + 1) = 12

Mean value = (Total sum ÷ Frequency)

Mean value = [(-2 + (-1) + 12) ÷ 12]

Mean value = - 9 ÷ 12 = - 0.75

Therefore, the mean value of the result is 0.75°C

Learn more : https://brainly.com/question/25242892

plz help
Which of the algebraic expressions below is equal to 28?
Select all that apply.(ANSWER ONLY IF YOU KNOW!)

A) (34)(20)×2
B) (24÷4)(7)
C) 9(7−3)–8
D) (3+4)⋅(22+3)

Answers

Answer:

ITS C

Step-by-step explanation:

9(7−3)−8

=(9)(4)−8

=36−8

=28

Answer:

C.

Step-by-step explanation:

9(7-3)-8

according to PEMDAS, we have to do the parenthesis first. so

9(4) - 8

then

36 - 8

which gives us 28.

Hope this helped! (:

which value of n makes the value of the expression 4n + 3 a composite number

Answers

Answer:

3

Step-by-step explanation:

Given expression :-

4n + 3

It will be composite if it will has more than 2 factors ( other than 1 and itself )

If n = 1 :-

4*1 + 3 4+ 3 7 ( prime )

If n = 2 :-

4*2 + 3 8 + 3 11 ( prime )

If n = 3 :-

4*3+312+3 15 ( composite )

Please help me! What is 1000*1000?

Answers

Answer:

1,000,000

Step-by-step explanation:

13 + 2(3x − 7) please help

Answers

Answer:

6x-1

Step-by-step explanation:

13 + 2(3x − 7)

Distribute

13 + 6x -14

Combine like terms

6x+13-14

6x-1

Answer:

6x - 1

Step-by-step explanation:

Solve the following equation for v in terms of all other variables involved.
2(v-h)/k=r

Answers

Answer:

[tex]v = \frac{rk}{2} + h[/tex]

Step-by-step explanation:

Given the equation, [tex]r = \frac{2(v - h)}{k}[/tex], in order to solve for v:

Start by multiplying both sides by k:

[tex](k)r = \frac{2(v - h)}{k} (k)[/tex]

rk = 2(v - h)

Divide both sides by 2:

[tex]\frac{rk}{2} = \frac{2(v-h)}{2}[/tex]

[tex]\frac{rk}{2} = v - h[/tex]

Add h to both sides to isolate v :

[tex]\frac{rk}{2} + h = v - h + h[/tex]

[tex]\frac{rk}{2} + h = v[/tex]

Aviv thinks of two numbers between 6 and 50. The highest common factor of his two numbers is 5. The lowest common multiple of his two numbers is 60. Write down the two numbers that aviv is thinking of.

Answers

Answer:

15 and 20.

Step-by-step explanation:

The 2 numbers are both divisible by 5.

Listing numbers whose LCM is 60 and divisible by 5.

20 and 30 :- not this as the HCF is 10.

15 and 20 : - HCF = 5 and LCM = 60.

Aviv is thinking of the numbers 60 and 5.

How to determine the two numbers that aviv is thinking of.

Let's consider the factors of 5 and the prime factorization of 60 to find the two numbers Aviv is thinking of.

The prime factorization of 60 is \(2^2 \times 3 \times 5\).

Since the lowest common multiple of two numbers is the product of their highest powers of prime factors, and we know the lowest common multiple is 60, this suggests that one of the numbers includes \(2^2\), \(3\), and \(5\) as prime factors.

However, we also know that the highest common factor of the two numbers is 5. This means that the second number must include \(5\) as a prime factor.

Putting these pieces together, the two numbers that Aviv is thinking of are \(2^2 \times 3 \times 5 = 60\) and \(5\).

So, Aviv is thinking of the numbers 60 and 5.

Learn more about factorization at https://brainly.com/question/10718512

#SPJ3

At a particular sporting event, find the cost for the missing item.



___________________ = cost of one ticket

Your answer will be marked wrong if you do not include a $ since your answers are a dollar amount.

Answers

Answer:

87$

Step-by-step explanation:

Good luck! I hope this helps!

I need an answer and I’m offering a lot!!

Given: angle 8 and angle 6 are corresponding
angles. Identify the transversal.

Answers

Line t. It cuts directly into the angle. Don’t get it confused with bisect because that comes directly from the angle and not just anywhere on it. Hope this helps

are the linear expressions equivalent?

2x-3(1.3x-2.5)=5.9x+7.5

3-2(-2.6x+2.1)=5.2x-1.1
d​

Answers

Answer:

not equivalent expressions

Step-by-step explanation:

Expand and simplify both expressions

2x - 3(1.3x - 2.5) - 5.9x + 7.5 ← distribute parenthesis

= 2x - 3.9x + 7.5 - 5.9x + 7.5 ← collect like terms

= - 7.8x + 15

----------------------------------------

3 - 2(- 2.6x + 2.1) - 5.2x - 1.1 ← distribute parenthesis

= 3 + 5.2x - 4.2 - 5.2x - 1.1 ← collect like terms

=  - 2.3

Then the 2 expressions are not equivalent

Answer:

2x-3(1.3x-2.5)=5.9x+7.5

Equivalent Expression

3-2(-2.6x+2.1)=5.2x-1.1

Not Equivalent Expression

Step-by-step explanation:

Solving the first linear expression

2x-3(1.3x-2.5)=5.9x+7.52x-3.9x+7.5=5.9x+7.52x-3.9x-5.9x = 7.5-7.5-7.8x = 0x = 0/-7.8x = 0

Thus, we can say that it's an equivalent expression.

Now Solving the second linear expression

3-2(-2.6x+2.1)=5.2x-1.13+5.2x-4.2= 5.2x-1.15.2x-5.2x = -1.1-3+4.20 ≠ 0.1

Thus, we can say that it's not an equivalent expression.

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