Solve the two-step equation.

3
4
(x) − 1.72 = −6.82

1. The first step is to
on both sides.
2. The second step is to
on both sides.


The solution is x =

Answer:

  $4439.28

Step-by-step explanation:

The future value is computed using the formula ...

  FV = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

Using the given values, the future value is ...

  FV = $2000(1 +0.08/12)^(12·10) ≈ $4439.28

You will have $4439.28 in the account after 10 years.

Answer:

Step-by-step explanation:

4 and 25

Billy's total annual health insurance premium is $4,712.54. Then the correct option is D.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Billy’s employer pays for 65% of his annual health insurance premium.

Billy has the rest deducted in equal amounts from his paycheck.

If billy has $105.73 withheld from his paychecks twice each month.

His employer contributes towards his health insurance on an annual basis.

To get the amount of his employer to contribute towards his health insurance on an annual basis will be

105.73 × 24 = 2537.52

The next step is to calculate Billy's total annual health insurance premium will be

[tex]\rm Health \ insurance \ premium = \dfrac{2537.52 * 0.65}{0.35}\\\\Health \ insurance \ premium = 4712.54[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

Tyler can buy at most 8 songs.

We have given that,Tyler solved an inequality to determine the number of songs he can buy with a $20 credit at his favorite music website.

inequality, In mathematics, a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

A number line going from 5 to 13.

A solid circle is at 8.

Therefore,from the given we can say that,

he cannot buy no more than 8 songs.

Therefore,Tyler can buy at most 8 songs.

To learn more about the inequality visit:

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Answer:

29/90

Step-by-step explanation:

Use the formula:

((DN x F) - NRP)/D

DN = Decimal Number

F = 10 if one repeating number, 100 if two repeating numbers, 1000 if three repeating numbers, etc.

NRP = Non-repeating part of decimal number.

D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, etc.

((0.32 x 10) - 0.3)/9

= 2.9/9  = 29/90

Answer:

c

Step-by-step explanation:

divide 96 by 1.5 and you'll get 64

Answer:

64

Step-by-step explanation:

I first go through every answer and multiply it by 1 and then dvide it by 2 and add it onto the first number. The answer that makes sence here is 64.

64/2 = 32

64 + 32 = 96

Have an amazing day!

PLEASE RATE!

Answer:

I don't see the composite shape, but the answer is to find the area of each shape inside the composite shape and add them up to get the total area of the shape.

Step-by-step explanation:

Common math formulas:

Area of a circle: A = [tex]\pi[/tex]r²

Area of a square: A = l × w

Area of a rectangle: A = l × w

Area of a triangle: A = 1/2 of b × h

Answer:

you will save 7.50$ and the sales price will be 42.50$

Step-by-step explanation:

15% of 50 is 7.5

Answer: 3/2

Step-by-step explanation:

We can start by converting 3 1/3 to an improper fraction. Since 3 is equal to 9/3, 3 1/3 would be equal to 9/3 + 1/3 = 10/3.

Therefore, we are doing [tex]\frac{5}{\frac{10}{3}}[/tex].

Dividing 5 by 10/3 is the same as multiplying 5 and the reciprocal of 10/3, which is 3/10.

5*3/10 = 15/10 = 3/2.

Answer:

25*2=50

OR

50/2=25

Step-by-step explanation:

If Paul has made 50 cupcakes so far, that means he's been baking for two hours.

25/hr

50 in total

50/2=25

25*2=50

Answer:

A: 2,500×H. B=20,000 passengers

[tex]\\ \rm{:}\dashrightarrow p+120=180[/tex]

[tex]\\ \rm{:}\dashrightarrow p=60[/tex]

And

Now

[tex]\\ \rm{:}\dashrightarrow r+65=180[/tex]

[tex]\\ \rm{:}\dashrightarrow r=115[/tex]

So

[tex]\\ \rm{:}\dashrightarrow x=q(Opposite interior angles)=65[/tex]

Answer:

p = 60°

r = 115°

q = 65°

y = 60°

x = 65°

Step-by-step explanation:

Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.

Therefore, the linear pairs are:

   p + 120° = 180°

⇒ p = 60°

   r + 65° = 180°

⇒ r = 115°

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

Vertical angle theorem: a pair of opposite angles formed by intersecting lines.  Vertical angles are always congruent (equal).

Therefore, the vertical angles are q and 65°:

⇒ q = 65°

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

Consecutive interior angle theorem:  if a transversal intersects two parallel lines, each pair of consecutive interior angles is supplementary and so their measures sum to 180°.

Therefore, the consecutive interiors angles are:

   120° + y = 180°

⇒ y = 60°

   x + r = 180°

⇒ x + 115° = 180°

⇒ x = 65°

Answer:

$176

Step-by-step explanation:

Total: $320 Subtract 45%= 0.45 Decimal = 176

Answer:

It's a direct variation, as the ratio between x and y is constant

Ans The orange shoe lace

Step-by-step explanation:

Answer:

need PPO

Step-by-step explanation:

need points I am 5 grade student sorry

Answer: They will end up paying $2,400.

Step-by-step explanation:

Since the annual interest rate is 8% of $10,000, take 8% of 10,000 by multiplying these numbers. This gives you $800.

This is only the annual interest rate, the Todd family's loan and interest isn't paid until 36 months have passed. Since 36 months is equal to 3 years, we can multiply the annual rate by 3. (800*3)

The Todd family will pay $2,400 in interest by the end of the period.

Answer:

11

...

...

...

...

.........

Question :-

Answer :-

[tex] \rule {210pt} {2pt} [/tex]

Given :-

To Find :-

Solution :-

As per the provided information in the given question, we have been given that Length of Rectangle is 9.6 cm . Breadth of Rectangle is given 7.9 cm . And, we have been asked to calculate the Perimeter of Rectangle .

For calculating the Perimeter , we will use the Formula :-

[tex] \bigstar \: \: \boxed {\sf { \: Perimeter \: _{Rectangle} = 2 \times [ \: Length + Breadth \: ] \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

⇒ Perimeter = 2 × [ Lenght + Breadth ]

⇒ Perimeter = 2 × [ 9.6 + 7.9 ]

⇒ Perimeter = 2 × 17.5

⇒ Perimeter = 35

Hence :-

[tex] \underline {\rule {210pt} {4pt}} [/tex]

Note :-

Answer:

71.6875 pounds of patatoes.

Step-by-step explanation:

9.25x7.75 = 71.6875

Answer:

Penelope is 14 years old.

Step-by-step explanation:

- Jaslin is 9 years old (since she'll be 12 in 3 years)

- So, you multiply 9 by 3 (since Penelope is 3 times Jaslin's age), which gives you 27.

- Then minus 13 from 27 (since we're solving for how old Penelope was 13 years ago), which gives you 14

Hope this helps!

Answer:

9 years old

look at the comment section.

The age of john is 9 years.

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.

Given:

John is 3 years older than Mary.

Five years ago he was four times as old as Mary was then.

let the age of mary be x

John's age= x+ 3

Five years age,

Mary's age= x-5

john's age = x-2

So,

x-2= 4( x-5)

x- 2 = 4x- 20

-3x= -18

x=3

Hence, john's age= 9 years

Learn more about algebra here:

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Answer:

402 cows per farm

Step-by-step explanation:

12060/30

=402

Answer:

x > 3

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

Step 2: Divide both sides by 3.

Therefore, the solution is x > 3.

Answer:

[tex]\displaystyle 3 < x[/tex]

Step-by-step explanation:

[tex]\displaystyle 3x + 7 > 16 \hookrightarrow \frac{3x}{3} > \frac{9}{3} \\ \\ x > 3[/tex]

The above answer is written in reverce, and is still the same result.

*Now, in case you did not know how we arrived at the division, seven was deducted from both sides of the inequality to give you [tex]\displaystyle 3x > 9.[/tex]From there, we splat both sides in third to give you the above result.

I am joyous to assist you at any time.

The value of  ∠EBD is 66°

Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal. Therefore,

∠EBA≅∠CBF

Therefore,

∠EBA = 40 - x

∠EBA  + ∠EBD = 90°(complementary angles)

Therefore,

40 - x + 6x - 30 = 90

5x = 90 + 30 - 40

5x = 80

x = 80 / 5

x = 16

Therefore,

∠EBD = 6(16) - 30 =  66°

learn more on angles here: https://brainly.com/question/10987237

The volume of the cone is [tex]\frac{1}{3} \pi r^{2}h[/tex]

Volume = [tex]\frac{1}{3} \pi (6)^{2} *6=226.08ft^{3}[/tex]

Hope that helps!

Answer: sin=7/13,cos=2.sqrt30/13

Step-by-step explanation:

SOH COH TOA  

sin=opp/hyp,cos=adj/hyp

Use pyth. theorem to find the adjacent of C.

13^2 =7^ + b^2

169 = 49 + b^2

120 = b^2

sqrt120 = sqrtb

2.sqrt30 = b is the missing side.