30 POINTS

andreev551 [17]

Answer:

■ = 7

Explanation:

Because there two ratios are proportional as a result of being equal.

To find the missing part of the ratio, cross multiply, and solve for ■ by converting them into their equivilent fractions.

i.e a : b = a/b.

So 4 : ■ becomes 4/■. And 8 : 14 becomes 8/14.

i.e a/b = c/d → b × c = a × d → bc = ad

Now 4/■ = 8/14 → ■ × 8 = 14 × 4 → 8■ = 56.

8■/8 = 56/8

1■ = 7

■ = 7

This method works for a missing part pretty much anywhere.

____________________

This is a little faster for ratios:

To find the value of the unknown part of the ratio,

just find the factor between two corresponding numbers, and apply that to the known number corresponding to the unknown part.

4 : ■ = 8 : 14

Notice that 4 corresponds to 8

So the factor between these is 2.

Since from 8 to 4 is a multiple of 1/2. 8 × 1/2 = 4, and 14 × 1/2 = ■.

Therefore ■ = 14 × 1/2 = 14/2 = 7

4 0

3 years ago

Find 1 2··31 1 22 1··22. Show your work

Jlenok [28]

1 = 1 = 1 < 2 < 22

1 is equal to 1 is equal to 1 is less than 2 is less than 22

1 = 1 =1 < 2 < 22 1 1 1 1 1 hope help mark brain.....?

8 0

3 years ago

What is the distance between points (2,3) and (-5,-3)

xeze [42]

They are 7 points away from each other.

7 0

3 years ago

Read 2 more answers

How much would $14,250 be worth in a savings account after 13 years if the account has a 5.25% APY and the interest is compounde

miss Akunina [59]

Answer:

$28,188.46

Step-by-step explanation:

The formula you need is:

$A(t)=P(1+\frac{r}{n})^{nt}$

Where A(t) is the amount after the compounding, P is the initial investment, r is the interest rate, n is the number of compoundings per year, and t is the time in years. We are looking for A(t). P is $14,250; r in decimal form is .0525; n is 52 since there are 52 weeks in a year; t is 13 years. Filling in:

$A(t)=14,250(1+\frac{.0525}{52})^{(52)(13)}$

Simplifying inside the parenthesis and the exponential multiplication:

$A(t)=14,250(1.0010096154)^{676}$

Raising the number in parenthesis to the power of 676 gives us:

A(t) = 14,250(1.978137432)

Multiplying then gives us $28,188.46

3 0

3 years ago

Divide: PLEASE DONT GUESS AND THE AWNSER IS SUPPOSED TO HAVE X'S IN IT AND PARENTHESES

andre [41]

So remember how you can factor out ones
like (4/8)=(4/4)(1/2)=(1)(1/2)
so first factor each think see if we can simplify any of them
$\frac{ \frac{(x+1)(x+1)}{(x-2)} }{ \frac{(x+1)(x-1)}{(x+2)(x-2)} }$
can't
ok so remember division of fractions

(a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)
invert and multiply
so
$\frac{ \frac{(x+1)(x+1)}{(x-2)} }{ \frac{(x+1)(x-1)}{(x+2)(x-2)} }$ =
$(\frac{(x+1)(x+1)}{(x-2)}) ( \frac{(x+2)(x-2)}{(x+1)(x-1)}})$ =
$\frac{(x+1)(x+1)(x+2)(x-2)}{(x-2)(x+1)(x-1)}$ =
$( \frac{(x+1)(x+2)}{(x-1)} )( \frac{(x+1)(x-2)}{(x+1)(x-2)} )$ =
$( \frac{(x+1)(x+2)}{(x-1)} )( 1)$ =
$\frac{(x+1)(x+2)}{(x-1)}$ =
$\frac{x^2+3x+2}{x-1}$

7 0

3 years ago