Which expression is equivalent to 6x + 3 (2x - 7) - 8

Answer:

C

Step-by-step explanation:

(2x+3)(x+4) = 2x² + 8x + 3x + 12

                  = 2x² + 11x + 12     ≠  2x² + 10x + 12

Answer:

Step-by-step explanation:

Let n represent nickels & d dimes

given: n + d = 25 #1 (number of coins)

given: .05n + .10d = 1.65 #2 (amount in dollars)

n = 25 - d #3 (rewrite of #1)

.05(25 -d) + .10d = 1.65 (substitute #3 in #2)

1.25 - .05d + .10d = 1.65 (multiply out the left side)

.05d = .40 (collection of like terms)

d = 8 (divided both sides by.05)

n + 8 = 25 (substitute answer for d in #1)

n = 17 (subtract both sides by 8)

There are 8 dimes and 17 nickels.

Check:

17(.05) + 8(.10) = 1.65 (answers in #2)

.85 + .80 = 1.65 (multiply out the left side)

1.65 = 1.65 ✔️ QED

Answer:  There are 8 dimes and 17 nickels.

Step-by-step explanation: 0.05N+.10D=1.65; N+D=25

Answer:

Step-by-step explanation:

Hope it helps u!!

The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.

Polygons are closed figures which has at least three set of line segments joined together.

The polygon with least number of sides is triangle.

7) It is a polygon with 4 sides (quadrilateral)

Sum of the interior angles of a quadrilateral = 360°

45° + 65° + 95° + x = 360°

x = 360° - (45° + 65° + 95°)

x = 155°

8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.

There are 6 sides.

Sum of the interior angles = (6 - 2)180° = 720°

x + 140 + 130 + 120 + 90 + 150 = 720

x = 90°

9) n = 5

Sum of the interior angles = (5 - 2) 180° = 540°

2x + 90 + 100 + 70 = 540

2x = 280

x = 140°

10) Sum of the exterior angles of a polygon is 360°.

4x + x + 98 + 162 = 360

5x = 100

x = 20°

Hence the values of x are found.

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Answer:

Q = 9.1º

Step-by-step explanation:

Law of Cosines

c² = a² + b² - 2ab * cosC

1.3² = 7² + 7.6² - 2(7)7.6 * cosQ

1.69 = 106.76 - 106.4 * cosQ

Subtract 106.76 from both sides

-105.07 = -106.4 * cosQ

Divide both sides by -106.4

0.9875 = cosQ

Q = arccos0.9875

Q = 9.068721546032704

Rounded

C = 9.1º

the last one

Step-by-step explanation:

it is 40/100

the total number of out comes would be 16^2 or 256.

some extra things...

A numbered card from 1 - 10 would be 1 over 10 or 10% chance of picking correctly.

a number cube from 1 - 6 would be 1 over 6 or 16.66% chance of picking correctly.

if you want to combine these and pick one from both, it becomes 1 over 16 or 6.25% chance of picking both correctly.

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

...............

.

....

Step-by-step explanation:

[tex] \tt \mapsto \:(3x - 2)(4x - 7) \\ \tt \mapsto \:3x(4x - 7) - 2(4x - 7) \\ \tt \mapsto \: {12x}^{2} - 21x - 8x + 14 \\ \tt \mapsto \: {12x}^{2} - 29x + 14[/tex]

Option D is correct

Answer:

1520/4=380 per month

Step-by-step explanation:

The monthly payments for Anita and Casey are 230 and 150.

"An equation is a formula that expresses the equality of two expressions consisting of variables and/or numbers, by connecting them with the equals sign =."

Assume

Monthly payments for Anita = x

Monthly payments for Casey = y

We have

Anita pays 80 more than Casey does each month.

We can write the equation

x = y + 80

x - y = 80 ...........................(1)

Over the course of 4 months, their combined bill is 1,520.

We can write the equation

4x + 4y = 1520...................(2)

Solving equations (1) and (2) by substituting equation x = y + 80 in equation (2)

⇒4x + 4y = 1520

⇒4(y + 80) + 4y = 1520

⇒4y + 320 + 4y = 1520

⇒8y = 1520-320

⇒8y = 1200

⇒y = [tex]\frac{1200}{8}[/tex]

⇒y = 150

Substitute y = 150 in equation (1)

⇒x - y = 80

⇒x - 150 = 80

⇒x = 80+150

⇒x = 230

Hence, the monthly payments for Anita and Casey are 230 and 150.

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Answer:

[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]

Answer:

PPP Loan

Step-by-step explanation:

Answer:

bottom right

Step-by-step explanation:

Answer:

On day 5, he should be able to do 11

Step-by-step explanation:

Day 1 - 3

Day 2 - 5 (2 more than day before)

Day 3 - 7 (2 more than day before)

Day 4 - 9 (2 more than day before)

Following this pattern of +2, day 5 should be 11.

that's my thought process, so I hope it works

Answer:

the answer would be linear

Step-by-step explanation:

eqwertyumnbvcxsaqwertyuioplkjhgfds1234567890

Answer:

Step-by-step explanation:

the mode of the given data is 15 because it repeats highest number of times.

Answer:

No need to spend more than $ 1,000

Step-by-step explanation:

assume the coach needs 10 set

10 set will cover 10×56 = 560 people that more than 453.

so,

the cost is only 10× $99 = $ 990

that less than $ 1,000

Answer:

Fewer  than 10 sets of bleachers are needed. This is because 5610  560​, which is greater than  453. The cost of 10 sets of bleachers would be ​$9910​ $ 990​, which is  less than  ​$1,000. The coach  will not  need to spend more than​ $1,000 for the bleachers.

Answer:

no possible triangles

Step-by-step explanation:

just turn it in blank on delta

Answer:

If you beg for help like that you won't get any.

Step-by-step explanation:

Answer:

The correct solution is "4.6".

Step-by-step explanation:

Given:

Interest rate,

r = 6.2%

or,

 = 0.062

Amount,

A = 100000

Principle,

P = 76000

As we know,

⇒ [tex]A=P(1+\frac{r}{100} )^n[/tex]

On substituting the values, we get

⇒ [tex]100000=76000(1+\frac{6.2}{100} )^n[/tex]

⇒ [tex](1+0.062)^n=\frac{100}{76}[/tex]

On taking log both sides, we get

⇒ [tex]n \ log_e(1.062)=log_e(\frac{100}{76} )[/tex]

⇒                   [tex]n=\frac{ln(\frac{100}{76} )}{ln(1.062)}[/tex]

By putting the values of log, we get

⇒                      [tex]=4.5622[/tex]

or,

⇒                      [tex]=4.6[/tex]

Answer:

$420.00

Step-by-step explanation:

Answer:

Step-by-step explanation:

45 cm + 30 cm x 2 = AREA

9514 1404 393

Answer:

  1/6

Step-by-step explanation:

  (3 1/3)/20 = (10/3)×(1/20) = 10/60 = 1/6

Answer:

22

Step-by-step explanation:

C=2πr

[tex]C=2*3\frac{1}{2} *\frac{22}{7} =2*\frac{7}{2} *\frac{22}{7} =22[/tex]

Answer:

56 cm

Step-by-step explanation:

Answer:

I think it would be 4/5 because in the box there are 4 c and 1 b

Step-by-step explanation:

Answer:

4/5 the top is right...

Step-by-step explanation:

$972.84 is invested in total after 1 year.

Correct option is (D)

Compound interest is generally understood to be interest that is earned on both the original investment and any subsequent interest. Compound interest is, thus, the interest earned on both the initial principal and the interest that has already been accrued on this principal.

As per the given data:

Compounding frequency (n) = 12

Final value (FV) = $1000

Time period (t) = 12 months = 1 year

[tex]FV = P(1+\frac{r}{n})^{nt}[/tex]

FV – Future worth of the investment is the final balance in our calculation.

P – Initial balance (the value of the investment);

r – Annual interest rate (in decimal);

n – Number of times the interest is compounded per year (compounding frequency); and

t – Numbers of years the money is invested for.

Substituting the given values

[tex]1000 = P(1+\frac{0.06}{12})^{12 \times 1}[/tex]

[tex]P = \$ 972.84[/tex]

Hence, $972.84 is invested in total after 1 year.

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Answer:

76

Step-by-step explanation:

3.04/ 0.04=76

Answer:

b = 2a - 1

Step-by-step explanation:

a = 1 , b = 2 x 1 - 1 = 2 - 1 = 1

a = 2 , b = 2 x 2 - 1 = 4 - 1 = 3

a = 3, b = 2 x 3 - 1 = 6 - 1 = 5

a = 4, b = 2 x 4 - 1 = 8 - 1 = 7

Answer:

b = 2a - 1

Step-by-step explanation:

We can see the pattern:

1 = 1 + 0 = 1 + 1 - 1

1 = 1 - 1

3 = 2 + 1 = 2 + 2 - 1

3 = 2 + 2 - 1

5 = 3 + 2 = 3 + 3 - 1

5 = 3 + 3 - 1

7 = 4 + 3 = 4 + 4 - 1

7 = 4 + 4 - 1

.

.

.

Answer:

There are 604,800 possible permutations.

Step-by-step explanation:

The order in which the digits are chosen is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

7 digits from a set of 10(10 digits to 0-9). So

[tex]P_{(10,7)} = \frac{10!}{(10-7)!} = 604800[/tex]

There are 604,800 possible permutations.

Answer:

10!/3!

Step-by-step explanation:

i just took a test and got it right

Because repetition is not allowed, and there are 10 initial options for the 7 decisions that need to be made, we use the formula

n!/(n-r)! = 10!/(10-7)! = 10!/3!

Answer:

No, not a probability distribution.

Step-by-step explanation:

It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.