What is the value of x in the equation
7 (4x + 1) – 3x = 5x – 13?
T =

Answers

Answer 1

Answer:

x = - 1

Step-by-step explanation:

7 (4x + 1) – 3x = 5x – 13

28x + 7 - 3x = 5x - 13

25x + 7 = 5x - 13

25x - 5x = -13 - 7

20x = -20

x = -20/20

x = -1

Answer 2

Answer: x = -1

Step-by-step explanation:

[tex]7 (4x + 1) -3x = 5x-13[/tex]

Distribute 7.

[tex]28x+7-3x=5x-13[/tex]

Subtract 7.

[tex]28x-3x=5x-13-7[/tex]

Subtract 5x

[tex]28x-3x-5x=-13-7[/tex]

Combine like terms;

[tex]20x=-20[/tex]

Divide by 20.

[tex]x=\frac{-20}{20}\\ x=-1[/tex]


Related Questions

can someone please help me i don’t get this at all!?

Answers

She bought N pencils last month for 288, as the amount is in pennies. This month she bought N+12 for 720.

288/N = 720 / (N+12)
288(N+12) = 720N
288N + 3456 = 720N
3456 = 720N - 288N
3456=432N
N=8

She bought 8 pencils last month for 288, which is 36 cents each. And she bought 20 pencils this month for 720 which is 36 cents each. Hope this helped :)

please help quickly !

Answers

Answer:2490-2312=w; w=178 so 178 pounds

Step-by-step explanation:

Answer:

hey!

Your answer is 178 pounds!!

Step-by-step explanation:

by doing 2490lb-2312lb gives us the value of w

soo w=178 pounds!!

HOPE THIS HELPS!!

basic trigonometry question, picture attached please help

Answers

Multiple the numbers then divide but one half

The local theater sold 260 tickets to their most recent performance. Admission was $9 for adults and $5 for children. If they made $2,140, how many adult tickets did they sell?

Answers

Answer:

210 adult tickets were sold

Step-by-step explanation:

let x be the number of adult tickets sold

let y be the number of children tickets sold

x+y=260 equation 1

9x+5y=2140 equation 2

multiply equation 1 by 5

multiply equation 2 by 1

5x+5y=1300

9x+5y=2140

subtract equation 1 from 2

4x=840

x=840/4 =210  tickets

substitute for x in equation 1

210+y=260

y=260-210=50

Translate the difference of a number and 7 is -8 into an equation.

Answers

Answer:

-1

Step-by-step explanation:

7 - 8 = -1

hope its helpful

Answer:

n - 7 = -8

Step-by-step explanation:

certain circle can be represented by the following equation.
x^2+y^2+18x+14y+105=0x
2
+y
2
+18x+14y+105=0x, squared, plus, y, squared, plus, 18, x, plus, 14, y, plus, 105, equals, 0
What is the center of this circle ?
((left parenthesis
,,comma
))right parenthesis
What is the radius of this circle ?
units

Answers

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

Center of the circle is (-9, -7) and radius of the circle is 5 units.

Answer:

(-4.8)

7 unit

i just did the test

Step-by-step explanation:

Sarah, Natasha and Richard share some sweets in the ratio 5:2:3. Sarah gets 75 sweets. How many more sweets does Richard get over Natasha?

Answers

Answer:

Richard gets 15 more sweets than Natasha.

Step-by-step explanation:

Given that the ratio of Sarah's sweets is 5 and she has 75 sweets. So firstly, you have to find out how many sweets in a ratio of 1 :

Let ratio be units,

[tex]5 units = 75 sweets[/tex]

[tex]1 unit = 75 \div 5[/tex]

[tex]1 unit = 15 sweets[/tex]

Now we have to find how many sweets does Natasha and Richard has :

Richard (ratio of 3),

[tex]3 units = 15 \times 3[/tex]

[tex]3 units = 45 sweets[/tex]

Natasha (ratio of 2),

[tex]2 units = 15 \times 2[/tex]

[tex]2 units = 30 sweets[/tex]

In order to find how many sweets Richard has more than Natasha, you have to substract :

[tex]45 - 30 = 15 sweets[/tex]

Answer:

15

Step-by-step explanation:

the answer is 15

Simplify the slope of AC.

Answers

Answer:

1

Step-by-step explanation:

The slope of a line can be found by dividing the rise over the run, or how much the line rises over a certain amount of sideways movement. In this case,  the line AC moves from (0,0) to (a,a), meaning that it rises and moves sideways the same amount. Since a/a=1, the slope of this line is 1. Hope this helps!

Answer:

1

Step-by-step explanation:

Point A is (0, 0) and Point C is (a, a).

The "rise" from A to C is a and the "run from A to C" is also 1.

Thus, the slope of line A is m = rise / run = 1 / 1 = 1.

Unit 5. 9) Please help. A soda can holds approximately 25.5 cubic inches of soda and is 4.8 inches tall. What is the approximate area of its base?

Answers

Answer:

5.3125  in^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = Bh

Where B is the area of the base

25.5 = 4.8 B

Divide each side by 4.8

25.5/4.8 = B

5.3125 = B

Find the x intercepts?

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

Please help me thank you

Answers

1) B
2)A
3)C
4)A
5)D
6)A
7)A

Points A, B, and C lie on circle M such that
mABC = 262 . Find the measure of ∠ABC .


PLEASE HELPPPP

Answers

Answer:

i need help to with this Qestion to

Step-by-step explanation:

I need help pleaseeee

Answers

Answer:

Third side is 9m.

Step-by-step explanation:

In a right triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides.

15 x 15= 225m2

12 x 12 = 144m2

225 - 144 = 81m2 and the length of the third side is square root of 81, which would be 9m as your final answer.

Answer:

Follow the Pythagoreas theorm. You typically need to find [tex]C^2[/tex], which is the hypotonuse, but because we already know this, we can rearrange the equation to make sense.

Personally, I like to substitute with non-related numbers, such as 1 and 2. In the following example, the sides are 1 unit, 2 units, and 5 units. First, I like to figure out the sum of [tex]a^2[/tex] and [tex]b^2[/tex] .

EX: [tex]1^2+2^2= 5[/tex]

[tex]25^2=5[/tex]

I can rearrange this so that one leg and the hypotenuse are on the same side:

[tex]25^2-1^2=2^2[/tex]

Now I can take out the example numbers, and substiture in the variables.

[tex]c^2-a^2=b^2[/tex]

Now all I have to do is fill in the known variables!

[tex]15^2-12^2=b^2[/tex]

Solve!

[tex]225-144=80[/tex]

We're not done- we have to find the square root of 81!

It's 9m!

Finally, we can check our work by plugging [tex]A^2[/tex] and [tex]B^2[/tex] into the normal equation. It checks out!

[tex]12^{2} +9^{2} = 15^{2} \\=225 =225\\225=225[/tex]

Have questions? Let me know!

A student used the point-slope form to write the equation of a line that has a slope of Three-fourths and passes through the point (3, –2). The student’s work is shown to the left. Examine the steps to determine whether the student made an error. The student made .

Answers

Answer:

The student made an error in step 3

Step-by-step explanation:

Answer:

The student made an error on C. Or step 3.

Step-by-step explanation:

identify the slope and y-intercept of the function y=11x+6

Answers

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Find the values of m and b using the form y=mx+b y = m x + b . The slope of the line is the value of m , and the y-intercept is the value of b .

Step-by-step explanation:

Answer:

let me see what i can do

Step-by-step explanation:

isolate the variable by dividing each side by factors that don´t contain the variable x = - 4/11 + 6/11

J/-2 + 7 = -12 Please help guys!

Answers

Answer:

J=17

Step-by-step explanation:

J/-2 + 7 = -12

multiply both sides by -2 to cancel out the J/-2 and turn it into J + 7 = 24

transfer the 7 to the other side to get J = 24 - 7

J = 17

hopefully this helps.

Three triangles are shown on the centimetre grid. A, B, C. A\ Which triangle has the largest area? B\ Work out the area of this triangle. Give your answer a.S a decimal.

Answers

Answer:

A) The three triangles have the same area

B) 10 square units

Step-by-step explanation:

In the figure attached, the triangles are shown.

A) The three triangles have the same area because all have the same base and height (see figure)

B) Area of a triangle = (1/2)*base*height

Area of a triangle = (1/2)*4*5 = 10 square units

Answer:

A) = C

B) = 4.5 cm^2

Given a triangle with b = 7, C = 3, and A = 37° what is the length of a? Round to the nearest tenth.
a. 4.9
b.5.9
c.5.5 d. 4.3

Answers

Answer: 4.9

Step-by-step explanation:

xion orders 5 loves of bread from the website bakery the total shipping weight is 9 pounds as model of the bread what is in pounds each of the lovaes

Answers

Each loaf of bread is 1.8 pounds

Help me
F (x)=-4x^2+10x-8
What is the value of discrminant of f
How many distinct real number zeros does f have

Answers

Answer:

2 Real Roots

Step-by-step explanation:

The discriminant (D) is found using the formula b^2+4ac for the equation ax^2+bx+c.

If D>0 there are two real roots, D=0 one real root and D<0 no real roots.

D = b^2+4ac

D =  10^2+4(-4)(-8)

D = 100+32*4

D = 100+128

D =  228

since 228>0

There are 2 real roots

Sid starts with savings of £13
Tim starts with no savings

Each week from now,
- Sid will save £3.50 and Tim will save £3

In how many weeks will Sid and Tim have savings in the ratio 17 : 9

Your final line must say, 17 : 9 in weeks

Answers

Answer:

after 6 weeks

Step-by-step explanation:

Sid and Tim starts saving each week.

Sid starts his savings with initial amount of £13.00

Tim starts his saving with initial amount of £00.00

Each week from now Sid will save = £3.50

Tim will save each week = £3.00

Let's assume after 'x' weeks the amount of Sid would be = £ (13 + 3.50x)

and the amount of Tim's saving after x weeks = £ (3x)

The ratio of their savings in x weeks would be = 17 : 9

Now the expression we get,

(13 + 3.50x) : (3x) = 17 : 9

[tex]\frac{13+3.50x}{3x}=\frac{17}{9}[/tex]

9(13 + 3.50x) = 17(3x)

117 + 31.5x = 51x

117 = 51x - 31.5x

117 = 19.5x

[tex]x=\frac{117}{19.5}[/tex]

x = 6

After 6 weeks the savings of Tim and Sid would be in the ratio of 17 : 9.

Why is 29 a prime number

Answers

Answer:

29 is a prime number because it has only two distinct divisors: 1 and itself.

it can be divided by 1 and by itself (29)



Students voted on a school trip. 56 voted for the museum, 86 for the nature center, 172 for the state capital, and 116 for other venues.

A circle graph titled School trip location. 40 percent is a, 20 percent is b, 13 percent is c, 27 percent is d.

The circle graph shows the data from the table, but the labels are missing.

Choose the correct labels.

a =

b =

c =

d =

Answers

Answer:

a = state capital

b = nature center

c =  museum

d = other

Step-by-step explanation:

Answer:

other person is correct

Step-by-step explanation:

How many total atoms are in 3 molecules of CO2 (carbon dioxide)?

Answers

Answer:

9

Step-by-step explanation:

there are 3 atoms in one co2 molecule. 3 x 3=9

Answer:

in three molecules of CO2 there are:

3 Carbon Atoms and 6 Oxygen Atoms

If your looking for the atoms in ONE molecule then there is:

One Carbon Atom and Two Oxygen Atoms

what does this expression represent five times the quotient of some number and ten

Answers

Answer:

5(n/10)

Step-by-step explanation:

quotient of some number and ten=n/10

five time=*5

put it togther=5(n/10)

x + 18 greater than or equals 26

Answers

Answer:

x + 18 ≥ 26

Step-by-step explanation:

"greater than or equals": ≥

x + 18 ≥ 26 is your answer.

If you are trying to solve it so you isolate x, subtract 18 from both sides:

x + 18 (-18) 26 (-18)

x 26 - 18

x 8

x ≥ 8 is your answer.

~

Answer:

x+18 ≥ 26

Step-by-step explanation:

≤ is the less than or equals sign

≥ is the greater than or equals sign

x+18 ≥ 26

(This also means x must be ≥ 8)

I need the answers to these question (with steps)

1. simplify -5^ -1

2. simplify -1/y^ -4

3. simplify 5^ 4 x 5^ 7

thanks!

Answers

Answer:

-5^ -1 = 1/(-5) = -1/5

-1/y^(-4) = -(1/(1/y^4)) = -y^4

5^4 x 5^7 = 5^(4 + 7) = 5^11

Hope this helps!

:)

Answer:

1. -1/5

2. -y⁴

3. 5¹¹

Step-by-step explanation:

1. simplify -5^ -1

1/(-5)

-1/5

2. simplify -1/y^ -4

-1 × y⁴

-y⁴

3. simplify 5^ 4 x 5^ 7

5^(4+7)

5¹¹

A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade, without replacement?
A. 25/102
B.13/102
C.13/204
D.1/2

Answers

There are 52 cards in the deck.

Picking a spade would be 13/52 which reduces to 1/4

After the first card is picked there are 51 cards left, picking a club would be 13/51

Picking both would be 1/4 x 13/51 = 13/204

The answer is C.

Que es un trinomio cuadrado perfecto?

Answers

Answer:

What is a perfect square trinomial (or possibly triangle).

Step-by-step explanation:

What is the difference between 2/3 and 1/6 ?

Answers

Answer: 1/2

[tex]\frac{2}{3} - \frac{1}{6}[/tex] [tex]= \frac{4}{6} - \frac{1}{6}[/tex][tex]= \frac{3}{6} = \frac{1}{2}[/tex]

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