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3 years ago

Change to an improper fraction 4 2/3=

2 answers:

8 0

First multiply the denominator by the whole number.
3*4=12
Now add the numerator.
12+2=14
14 is the numerator, denominator stays the same.
You answer is 14/3!

barxatty [35]3 years ago

4 0

Solutions

To solve the problem the first step is to multiply the whole number by the fraction's denominator (4 x 3).Add the numerator (2) to the product.

4 * 3 = 12

12 + 2 = 14

= 14/3

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Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that

AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let x is the money deposit in the bank and y is the money deposit in stock fund.

Therefore,

x + y = 27000

x = 27000 - y

The bank account will pay 2.4% annual interest.

$\frac{2.4}{100}x+x=1.024x$

Stock fund pays 7.2% annual interest.

$\frac{7.2}{100}y+y=1.072y$

Therefore,

1.024 x + 1.072 y = 1.06 × 27000

Substitute the x = 27000 - y in above equation.

1.024 (27000 − y) + 1.072 y = 1.06 × 27000

27648 − 1.024 y + 1.072 y = 28620

0.048 y = 28620-27648

0.048 y = 972

y = 20250

Now, substitute the y = 20250 in x = 27000 - y.

x = 27000 − 20250

x = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0

3 years ago

Find the solution to the system of equations x + y = 9 and x - y = -1.

Galina-37 [17]

Answer:

(4, 5 )

Step-by-step explanation:

x + y = 9 → (1)

x - y = - 1 → (2)

adding the 2 equations term by term will eliminate y

2x + 0 = 8

2x = 8 ( divide both sides by 2 )

x = 4

substitute x = 4 into either of the 2 equations and solve for y

substituting into (1)

4 + y = 9 ( subtract 4 from both sides )

y = 5

solution is (4, 5 )

6 0

2 years ago

Read 2 more answers

I don’t know how to do it please help

madreJ [45]

Answer:

37.5

Step-by-step explanation:

First you have to realize that these are similar triangles.

You can do a easy cross multiplication with these types of questions by forming an equation with the similar angles.

put the smaller above the decimal and the bigger one below like this.

$\frac{8}{25}$ = $\frac{12}{x}$

Now cross multiply

8x=300

x=37.5

5 0

3 years ago

Find the distance between (2.3) and (0,6).

Ann [662]

Use the distance formula
And just plug in your numbers and solve

5 0

3 years ago

Find the value of x in the diagram shown below.

koban [17]

Answer:

a) ∡ADC = 270°

b) ∠DAE = 38°

Step-by-step explanation:

Using Inscribed Angle Theorem :

∡ADC = 2 x ∠ABC
∡ADC = 2 x 135°
∡ADC = 270°

Similarly :

∠DAE = 1/2 x ∡DE
∠DAE = 1/2 x 76°
∠DAE = 38°

5 0

2 years ago

Read 2 more answers