Let the cost of a pen be dollars. Write an expression for the total cost of four pens and seven mechanical pencils in terms of .

Answer:

Criag has 4 dimes and 8 nickles

Step-by-step explanation:

1 dime = 10 cents

1 nickle = 5 cents

4 dimes = 40 cents

8 nickles = 40 cents

40 cents + 40 cents = 80 cents

8 - 4 = 4

therefore it is equivelent that criag has 4 dimes and 8 nickels.

Answer:

Length of sides ;

3.5 yards ; 10 yards.

Step-by-step explanation:

Let :

Side 1 = x

Side 2 = y

x = 2y + 3

Perimeter (P) of rectangle = 2(side1 + side2)

Perimeter, P = 27

P = 2(x + y)

27 = 2(2y + 3 + y)

27 = 2(3y + 3)

27 = 6y + 6

27 - 6 = 6y

21 = 6y

y = 21/6

y = 3.5

From ; x = 2y + 3

x = 2(3.5) + 3

x = 7 + 3

x = 10

Length of the other side of the rectangle will be 10 yards.

       Perimeter of a rectangle = 2(Length + Width)

Given in the question,

Let one side of the rectangle = x yards

Therefore, other side of the rectangle = (2x + 3) yards

Substitute the values in the expression for the perimeter,

Perimeter = 2[x + (2x + 3)]

27 = 2(3x + 3)  [Simplify the equation]

27 = 6x + 6

6x = 21

x = 3.5 yards

Other side of the rectangle = (2x + 3) yards

                                              = 2(3.5) + 3

                                              = 10 yards

      Therefore, length of the other side of the rectangle will be 10 yards.

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Answer:

Since interior angles of hexagon sum up to 720°, [You may calculate this using formula 180(n - 2) where, 'n' is number of sides]

[tex]x + 146 + 167 + 53 + 125 + 133 = 720 \\or, x + 624 = 720\\or, x = 96[/tex]

Answer:

256x +2.500=17860

Step-by-step explanation:

So she has to pay 256 per month which means every month.So that is our reapeted fee.Because it is reapeting every month.2.500 is the fee that you have to give for down time payement but only once .So that is our One Time Fee.And 17860 is our total.Always remember that the vairable goes with the reapted fee.and our equation is reapted fee times vairaible addes to one time fee is equal to total.

Answer: 500

Step-by-step explanation: Good luck! :D

Answer:

3

Step-by-step explanation:

j(2) means that x equals 2...

the first inequality in the function says that x is greater than or equal to 2

the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5

the third one states that x is greater than 5

x applies to the first inequality since we know that x can be equal to 2

Now, to the number before the if

there is a 3 before the if in the first inequality

This means that if x is greater than or equal to 2 the y or the function would equal 3

therefore, j(2) would equal 3

I hope this helps!!!

Answer:3x-7=3(x-3)+2

3x-7=3x-9+2

3x-7=3x-7

Group like terms

3x-3x=-7+7

0=0

Step-by-step explanation: the above calculations implies that, the equation has no solution, since all the unknown variables also vanish to zero.

Answer:

[tex]2^{3} *3^{3}[/tex]

Step-by-step explanation:

Answer:300

Step-by-step explanation:

9514 1404 393

Answer:

  Part A: C) The order of discounts does not matter.

  Part B: both prices are $54.91

Step-by-step explanation:

Part A:

The calculation of the final price can be ...

  ((original price)·(1 - membership discount))·(1 -sale discount)

  = ((original price)(0.88))(0.80)

The associative and commutative properties of multiplication tell you this is fully equivalent to ...

  = (original price)(0.80)(0.88)

In short, the order of discounts does not matter.

__

Part B:

When the membership discount is applied first, the final price is ...

  ($78)(0.88)×0.80 = $68.64·0.80 = $54.91

When the sale discount is applied first, the final price is ...

  ($78)(0.80)×0.88 = $62.40·0.88 = $54.91

Answer:

j

Step-by-step explanation:

Answer:

Would it not be 1 1/2 cups of water?

Step-by-step explanation:

3/4 of 2 feet is 1 and a half. If Mark wanted to fill it at 4/4 full, that'd be 2 feet. 3/4 is 1 and a half.

Answer:

c=3

Step-by-step explanation:

Answer:

The y intercept is zero

Step-by-step explanation:

Answer:

19 this is your answer.....

Answer:

Step-by-step explanation:

About 20 feet

Answer:

3, 1, 2, 4, 5, 6

Step-by-step explanation:

i gave it to you in order from top to bottom

Answer: 27 I think

Step-by-step explanation:

72 divided by 3 plus 3

The age of Nia is given by the equation N = 27 years old

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age of Nia be represented as N

Now , the equation will be

Let the age of Conray be C

The value of C = 72 years

And , Conray is three times his daughter's age

Let the age of Conray's daughter be D

The value of D = C / 3

Substituting the values in the equation , we get

The value of D = 72/3 = 24 years

And , Conray's daughter is three years younger than Nia

So , N = D + 3

Substituting the values in the equation , we get

N = 24 + 3

On simplifying the equation , we get

N = 27 years

Therefore , the value of N is 27 years

Hence , the age of Nia is 27 years

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Answer:

He would need to work for 18 hours.

Step-by-step explanation:

115÷5=23 (dollars)

414÷23=18 (hours)

Answer:

18 hours because Juan makes $23 an hours and if you divide the $414 by 23 you get 18 so he needs to work 18 hours to get $414

Step-by-step explanation:

Answer:

6 times.

Step-by-step explanation:

6x3=18

20-18=2

hope this helps ! </3 ~ alyssa

3 goes into 20 six times with a remainder of 2.

To determine how many times 3 goes into 20, we can perform division.

Dividing 20 by 3 gives us:

20 ÷ 3 = 6 with a remainder of 2

Or,   3 | 20  | 6

             18

          _____

              2

Therefore, 3 goes into 20 six times with a remainder of 2.

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Answer:

She was paid $55.

Step-by-step explanation:

15%=0.15

8.25/0.15=55

Answer:

It is a line with a positive slope and positive intercept

Step-by-step explanation:

If you want it in SF, -x + y = 4

Answer:

5 cm

Step-by-step explanation:

The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.

Distance = D

Weight = W

Hence:

D ∝ W

D = kW

Where k is constant of proportionality

Step 1

We solve for k

If a spring stretches 2 cm when a 30 gram weight is hung from it.

2 = 30k

k = 2/30

k = 1/15

Step 2

how far will it stretch when a 75 gram weight is hung from the spring?

D = kW

We are solving for D

k = 1/15

D = 1/15 × 75

D = 5 cm

The spring would stretch 5cm with a weight of 75 gram.

Answer:

x+2 < 11 and -x-2 < 11

Step-by-step explanation:

absolute value function has two solution

|x| = a

Then x=a and - x= a

|x + 2| < 11

Then x + 2 < 11 and -(x + 2) < 11

x + 2 < 11 and -x - 2 < 11

Answer:

it 40 :)

Step-by-step explanation:

Answer:

1476

Step-by-step explanation:

Answer: 1/8

Step-by-step explanation:

Since flipping a coin once and it landing on tails is 1/2, multiply it by however many times you flip it, and that will be you're answer.