Solve algebraically for x and explain each step( using mathematical vocbuary) for the following: 2(x+5)+ 3x = 30

Answers

Answer 1
First do distributive property
2x + 10 + 3x = 30
Now combine like terms
5x + 10 = 30
Subtract 10 from both sides
5x = 20
Divide both sides by 5
x = 4

Related Questions

2,550 gallons in 30 days i wish if you plz explain it.

Answers

Answer:

multiply 2,550 gallons to 30 and you will have your answer

Answer:

Step-by-step explanation:

first u will div 2550 by 30 and it will 38 gallons per day  or per hour

The sum of two numbers is 64 and the difference is 8. What are the numbers?

Answers

Answer:

The answer is 36 and 28

Step-by-step explanation:

Trust me its correct

pls mark me as brainliest

The addition is one of the four fundamental mathematical operations. The two of the given numbers are 36 and 28.

What is Addition?

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Let the sum of two numbers be represented by a and b.

Given that the sum of the two numbers is 64. Therefore, we can write,

a + b = 64

Also, it is given that the difference between the two numbers is 8, therefore, we can write,

a - b = 8

Adding the two of the equation formed together, then,

a + b + a - b = 64 + 8

2a = 72

a = 72/2

a = 36

Substitute the value of a in any one of the two equations,

a + b = 64

36 + b= 64

b = 64 - 36

b = 28

Hence, the two of the given numbers are 36 and 28.

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Find the value of 5 (3)

Answers

Answer:

15

Step-by-step explanation:

You take 5 times 3.

Express as a trinomial. (3x – 10) (3x - 1)​

Answers

Answer:

9x² - 33x + 10

Step-by-step explanation:

Given

(3x - 10)(3x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(3x - 1) - 10(3x - 1) ← distribute both parenthesis

= 9x² - 3x - 30x + 10 ← collect like terms

= 9x² - 33x + 10

Solve + 8 = 12.

a =

KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answers

Answer:

4

Step-by-step explanation:

1/5 k = 20 solvve for k

Answers

Answer:

k=100

Step-by-step explanation:

20x5=100

Answer:

k=100

Step-by-step explanation:

Solve for  k  by simplifying both sides of the equation, then isolating the variable.

Is this graph a function or not a function

Answers

Answer:

YEs it is a function

Step-by-step explanation:

Answer:

its a function

Step-by-step explanation:

A function from set X to set Y assigns one of Y's elements to each of X's elements.

Hello could I get help with this equation

11a+100=12​

Answers

Step-by-step explanation:

-8

hope it helps:-) :-) :-) :-)

Answer:

a = -8

Step-by-step explanation: Subtract 100 on both sides to isolate the variable. From there you will have 11a = -88. If you divide on both sides to cancel them out you will get you answer for the variable -8.

Two vectors of lengths 4 and 6 have a dot product equal to 24. Which is true about the vectors?

They form an acute angle.
They form an obtuse angle.
They point in the same direction.
They point in opposite directions.

Answers

Answer:

no its not its b The angle between the vectors is obtuse.

Step-by-step explanation:

oh for the other one

he is right for that one but im right on the other thing for it like it

Both vectors point in the same direction.

Dot products of vector:

The dot product of two vectors is given as,

                   [tex]a\cdot b=ab*cos\theta[/tex]

Where [tex]\theta[/tex] is angle between two vectors.

Given that, [tex]a\cdot b=24,a=4,b=6[/tex]

Substitute values in above relation.

                [tex]24=4*6*cos\theta\\\\cos\theta=24/24=1\\\\\theta=cos^{-1}1=0[/tex]

Thus, both vectors point in the same direction.

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Find the 96th term of the arithmetic sequence 1, -12, -25, ...

Answers

Answer:

             a₉₆ = - 1234

Step-by-step explanation:

-12 - 1 = -13   and  -25 - (-12) = -13  ⇒  d = -13

[tex]a_n=a_1+d(n-1)\\\\a_1=1\\d=-13\\n=96\\\\a_{96}=1+(-13)(96-1)\\\\a_{96}=1-13\cdot95\\\\a_{96}=1-1235\\\\a_{96}=-1234[/tex]

**PLEASE ANSWER** 20 POINTS, Rebeka claimed the equation 3x + 4 = 10 has two solutions. Explain the error in Rebeka’s claim.

Answers

Answer:

x=2

Step-by-step explanation:

3x+4=10

subtract four on both sides, you will get 3x=6, divide by three on both sides, x=2

1 point
17. A triangle has vertices at A (-3,-1), B (-6, -5),
C(-1,-4).
Which transformations would produce an image with
vertices A' (3,-1), B' (6,-5), C' (1, -4)?
A. A reflection over the x - axis
B. A reflection over the y- axis
C. A rotation 90° clockwise
D. A rotation 90° counterclockwise
Ο Α

Answers

Reflection over the y-axis

The rule for the transformations would produce an image will be;

''A reflection over the y- axis''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

A triangle has vertices at A (-3,-1), B (-6, -5), C(-1,-4) transformations would produce an image with vertices A' (3,-1), B' (6,-5), C' (1, -4)

Now,

We know that;

The rule for the transformation over y - axis will be;

⇒ (x, y) → (- x, y)

So, We get;

The rule for the transformations would produce an image is,

''A reflection over the y- axis''

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Twice a number, increased by the sum of the same number and five.

Answers

Answer:

2x+(x+5)

not 100% sure but this is what i got

Step-by-step explanation:

Jose earns $3680 per month, of which 22% is taken out for federal and state income taxes and other required deductions. Last month he spent $775 for rent and 86.12 on clothing. What percent of his take-home pay did he spend on rent and clothing combined?

Answers

Answer: 30%

Step-by-step explanation:

Firstly, we find 22% of $3680. This will be:

= 22% × $3680

= 0.22 × $3680

= $809.60

Therefore, his take home pay will be:

= $3680 - $809.60

= $2870.40

We are further told that last month he spent $775 for rent and 86.12 on clothing. The amount combined will be:

= $775 + $86.12

= $861.12

The percent of his take-home pay did he spend on rent and clothing combined will be:

= 861.12 / 2870. 40 × 100

= 30%

Answer:

30%

Step-by-step explanation:

Step one:

monthly earnings= $3680

22% of the earnings is

=22/100*3680

=0.22*3680

=$809.6

Jose's take home will be

3680-809.6

=$2870.4

Step two:

Required

percentage spent on rent and clothing

but the total cost of rent and clothing is

=775+86.12

=$861.12

percentage of rent and cloth is

=(861.12/2870.4)*100

=0.3*100

=30%

The percentage is 30% of the take home

help pleaseeee slope of a line~ if there are two answers ill give brainliest for sure!

Answers

Answer:

Step-by-step explanation:

The answer would be 1/3

Hope this helps :)

without adding, find the sum (1+3+5+7+9+11+13+15+17)​

Answers

Answer:

Hey buddy, here is your answer. Hope it helps u.

Step-by-step explanation:

Without adding we can find out the sum. We just need to count how many numbers are there. In this case there are 9. Then we need to sqau the number. So 9 square=81. So without adding the sum the answer is 81.

Answer:

81

Have a beautiful day! v(⌒o⌒)v

Write the equation of the line that passes through (0, 2) and (2, -4) in slope-intercept form.

a. y = -3x + 2

b. y = - 1/3x + 2

c. y = 3x - 3

d. y = -1/3x - 2

Answers

Answer:

i think its A..............

Step-by-step explanation:

A

HELPPPPP MEEEEEEEEEE

Answers

Answer: #1 3+x

#2  x-4

#3 6-x+10

Step-by-step explanation:

hehe hope this helps!

x + 3
x - 4
x • 10 - 6
i think this is how you do it lol

Solve the system by Substitution

4x+4y=−4


y=−7x−7



(-1, 0)

(0, 2)

(0, -4)

(0, -1)

Answers

Answer:

(-1,0)

Step-by-step explanation:

I used a graphing calculator and that is the solution

Find the value of f(4) for the function.
f(x) = - 4(x + 3)

Answers

Answer:

-28

Step-by-step explanation:

f(4) is another notation for x = 4

so we just plug-in 4 for x

f(4) = -4((4)+3)

f(4) = -4(7)

f(4) = -28

The value of f(4) for the function is -28

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given a function as f(x) = - 4(x + 3)

f(4) is another notation for x = 4

Therefore we just plug-in 4 for x

f(x) = - 4(x + 3)

f(4) = -4((4)+3)

f(4) = -4(7)

f(4) = -28

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What is 1 1/3 minus 5/6

Answers

Answer:

1/2

Step-by-step explanation:

First, convert 1 1/3 to improper fraction:

1 1/3 = 4/3

Second, make denominator the same by multiplying 4/3 by 2/2:

4/3 * 2/2 = 8/6

Third, subtract:

8/6 - 5/6 = 3/6

Fourth, simplify:

3/6 = 1/2

The correct answer for the difference between [tex]1\dfrac{1}{3}[/tex]  and [tex]\dfrac{5}{6}[/tex]  is  [tex]\dfrac{1}{2}[/tex] .

Given expression:

[tex]1\dfrac{1}{3} - \dfrac{5}{6}[/tex]

convert [tex]1\dfrac{1}{3}[/tex]  to an improper fraction:

[tex]1\dfrac{1}{3} = \dfrac{3*1 + 1}{3}[/tex]

= [tex]\dfrac{4}{3}[/tex]

Now, the expression becomes:

[tex]\dfrac{4}{3} - \dfrac{5}{6}[/tex]

To subtract these fractions,

The common denominator is 6.

Rewrite the fractions with the common denominator:

[tex]\dfrac{4}{3}*\dfrac{2}{2}[/tex]

= [tex]\dfrac{8}{6}[/tex]

The expression becomes:

[tex]\dfrac{8}{6} - \dfrac{5}{6}[/tex]

Subtract, the numerators while keeping the common denominator:

= [tex]\dfrac{8-5}{6}[/tex]

= [tex]\dfrac{3}{6}[/tex]

Divide  numerator and denominator by greatest common factor (which is 3):

3 ÷ 3 = 1

6 ÷ 3 = 2

= [tex]\dfrac{1}{2}[/tex]

The correct answer is for [tex]1\dfrac{1}{3} - \dfrac{5}{6}[/tex]   is  [tex]\dfrac{1}{2}[/tex].

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I need to know the measurement of the fourth angle

Answers

Answer:

108° Make me Brainliest pls

Answer:

108 degrees

Step-by-step explanation:

All 4 angles of a quadrilateral added together is always equal to 360 degrees.

252 is the sum of 3 angles

therefore, in order to find the fourth measurment, we subtract 360-252

=108

Hope this was helpful

Which expression is equivalent to –2(5x – 0.75)?
10x – 0.75
10x + 0.75
–10x – 1.5
–10x + 1.5

Answers

-10x + 1.5 because you get rid of the parenthesis so -2 times 5 is -10 ( -10x ) and then -2 times -0.75 equals positive 1.5 due to two negatives canceling out to positive hope this helped!

Answer:

It is the last answer

Step-by-step explanation:

Is 16/27 a perfect square

Answers

Answer:

No

Step-by-step explanation:

16 is a perfect square but 27 is a perfect cube

what’s the slope for 6,14 and 10,9

Answers

Answer:

The slope is [tex]-\frac{5}{4}[/tex] .

Write down the inequality described by "six more than the value of is at least nine"and solve for x

Answers

Answer:

[tex]x\geq 3[/tex]

Step-by-step explanation:

[tex]x+6\geq 9\\x+6-6\geq 9-6\\x\geq 3[/tex]

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST
(If you know the answer but you can't answer it put the answer in the comments pls asap)

Answers

Answer:

I'm sorry for taking an answer but what's  the question? If you tell me the question in the comments I'd be happy to answer : )

The sum of four consecutive integers is 74.

What is the first integer?

16
17
19
18

Answers

Answer:

17

Step-by-step explanation:

Answer:

it is 17 my boys

Step-by-step explanation:

Have a great day or make your day great

Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Select two options.

Answers

Answer:

A,D

Step-by-step explanation:

The requried, expression for the translation of trapezoid ABCD to A'B'C'D' is (x, y) ⇒ (x - 3, y +1). Options A and D both are correct.

What is the transformation of geometry over the coordinate plane?

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

Here,
Consider trapezoid ABCD,

As we can see the trapezoid is translated 3 units to the left and one unit up,

So the expression of the given translation is given as,
(x, y) ⇒ (x - 3, y +1)

To for the trapezoid A'B'C'D'.

Thus, the requried, expression for the translation of trapezoid ABCD to A'B'C'D' is (x, y) ⇒ (x - 3, y +1). Options A and D both are correct.

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Darren went shopping. He bought a shirt and a tie for a total price of £29.75. This price includes a 15% loyalty discount.
Before the discount, the tie was priced at £13. Work out the price of the shirt before the discount.

Answers

Answer:

£21.21

Step-by-step explanation:

First, find the total price of the two items before the discount was applied. To do this, multiply the discounted price by 1.15, which is the decimal form of 115%. I added 15% to 100% in order to reverse to discount.

29.75 * 1.15 = 34.21

Now that we know the total price before the discount, we can subtract the value of the tie from the total price to find the price of the shirt:

34.21 - 13 = 21.21

The shirt cost £21.21 before the discount.

Hope this helps :)

Answer: Darren's shirt is £16.75. And with the loyalty discount, his total price would approximately £25.28.

Explanation:

To find the price of his shirt, you subtract the total price with the ties price. 29.75 - 13.00 which would get you 16.75. And then you have to subtract 15% from 29.75. (Original price) Once you're finished, you should get 25.28 (Unless I'm dumb) And if you need to learn how to subtract or add with percentages, you can look for a video on YT. Hope this helped!

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