Determine whether the following ratios are equivalent. (9:12 and 24:18)

Answer:

It is a ratio, which could mean yes and no, mattering which side of the ratio the number goes to.

Step-by-step explanation:

Answer:

yes because it is the same

Answer:

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items with a certain order.

Answer:

Permutations mean each of several possible ways in which a set or number of things can be ordered or arranged.

Step-by-step explanation:

Answer: $15.90/hr

Step-by-step explanation:

We need to add 6% to her $15/hr current pay.  This can be calculated with:

$15/hr *(1+0.06) = $15.90/hr

The "(1+0.06)" represents a) 1  the current salary, and b) the 6% raise.

4, 8, 12, 20

10, 20

The least common multiple of 4 and 10

I hoped this helped. :)

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]

[tex] \\ = \frac{4 + 10}{3} [/tex]

[tex] \\ = \frac{14}{3} [/tex]

[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]

Answer:

x = 3

Step-by-step explanation:

This is an isosceles triangle.  Two angles (D and F) are equal because the sides opposite them are equal (or vice versa).

Thus, side DE = side EF, or

12x - 8 = 4x + 16

Combining like terms:  8x = 24

Thus, x = 24/8 = 3

x = 3

Answer:

It will cost her $33.46

Step-by-step explanation:

She drives 32miles per gallon

In 448miles, she will use: (448 × 1)/32

= 14gallons

If a gallon costs $2.39

Then 14gallons will cost, 14×2.39

= $33.46

Answer:

C = 1530

Step-by-step explanation:

85% of 540 = 30% of C

0.85 * 540 = 0.3 * C

459/0.3 = 0.3C/0.3

C = 1530

Answer:

c = 1530

Step-by-step explanation:

First, convert the percentages to a decimal.

[tex]85\div100=0.85\\30\div100=0.30[/tex]

In decimal form, percentages are a fraction of 1. 0 is 0%, 0.5 is 50%, and 1 is 100%.

With that, you can write this equation:

[tex]0.85\times540=0.3\times c[/tex]

Now, just solve for c:

[tex]0.3c=0.85\times540\\0.3c=459\\c=1530[/tex]

To confirm that:

[tex]0.85\times540=0.30*1530\\459=459[/tex]

Answer:

Approximately 12.25%

Step-by-step explanation:

The compound interest formula is:

Final balance = Principal * (1 + interest rate/number of times interest compounded per year)^(number of times interest compounded per year * years elapsed)

If we want our final balance to be twice our principal, our formula looks like:

[tex]2P = P * (1 + \frac{r}{1})^{1*6}[/tex]

We can divide our principal from both sides to get the following equation:

[tex]2 = (1 + \frac{r}{1})^{6}[/tex]

Since anything divided by 1 is itself, we can simplify a little further to:

[tex]2 = (1 + r)^{6}[/tex]

Now, we need to solve for r.  We can start by taking the sixth root of both sides.

[tex]\sqrt[6]{2} = 1 + r[/tex]

Then subtract 1 from both sides:

[tex]\sqrt[6]{2} -1 = r[/tex]

Finally, we can use a calculator to get a decimal approximation:

0.1225 ≅ r

Answer:the question is not there

Step-by-step explanation:

Answer:

1) x = 55°

2) x = 30°

3) x = 68°

Step-by-step explanation:

In the given set of questions where it requires to find the unknown value of x to prove that v ||w:

The Consecutive Interior Angles Theorem states that for any given two parallel lines cut by a transversal, the measures of a pair of consecutive interior angles have a sum of 180°. Hence, the pair of consecutive interior angles are supplementary.

1.)  In the given diagram, the two consective interior angles are m ∠70° and m ∠ 2x°.  As defined by the Consecutive Interior Angles Theorem:

m ∠70° + m ∠ 2x° = 180°

Solve for x algebraically:

70° + 2x° =  180°

Subtract 70° from both sides:

70° - 70° + 2x° =  180° - 70°

2x° =  110°

Divide both sides by 2 to solve for x:

[tex]\LARGE\mathsf{\frac {2x^{\circ}}{2}\:=\:\frac{110^{\circ}}{2}}[/tex]

x = 55°

Verify whether the value for x is valid:

70° + 2x° =  180°

70° + 2(55)° =  180°

70° + 110° =  180°

180° =  180° (True statement).

2) In the given diagram, the two consective interior angles are m ∠2x° and m ∠ 4x°.  As defined by the Consecutive Interior Angles Theorem:

m ∠2x° + m ∠ 4x° = 180°

Solve for x algebraically:

2x° + 4x° =  180°

Add like terms:

6x° = 180°

Divide both sides by 6 to solve for x:

[tex]\LARGE\mathsf{\frac {6x^{\circ}}{6}\:=\:\frac{180^{\circ}}{6}}[/tex]

x = 30°

The Consecutive Interior Angles Theorem still applies in this question. The two consective interior angles are m ∠90° and m ∠ (x + 22)°.  As defined by the Consecutive Interior Angles Theorem:

m ∠90° + m ∠ (x + 22)° = 180°

Solve for x algebraically:

90° + x° + 22 =  180°

Combine like terms:

112° + x° = 180°

Subtract 112° from both sides to isolate x:

112° - 112° + x° = 180° - 112°

x = 68°

Verify whether the value for x is valid:

90° + x° + 22 =  180°

90° + 68° + 22 =  180°

180° =  180° (True statement).

Answer:

A = 147°

B = 33°

Answer:

AC = 20.5, CB = 14.5

Step-by-step explanation:

Let X be the distance of AC, and Y be the distance of CB. We can write 2 equations with the given information:

[tex]x=y+6\\x+y=35[/tex]

Now we have a system of equations that we can solve for both variables.

Solve by substitution:

[tex](y+6)+y=35\\2y+6=35\\2y=29\\y=14.5[/tex]

Then the next equation:

[tex]x=14.5+6\\x=20.5[/tex]

x = 20.5, y = 14.5

or

AC = 20.5, CB = 14.5

20.5 is 6 longer than 14.5, and they add up to 35cm, so this is our solution.

Answer:

i cant read it

can u type so i can help?

Step-by-step explanation:

Answer:

He divided by n instead of n-1.

It is sample data so we need to divide by n-1 not n.

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

i just need point im so sorry only in Geomotry

Answer:

no

Step-by-step explanation:

to be perpendicular the second equation would have to be -x (the opposite of x)

these lines are parallel

Answer:

No, not perpendicular

Step-by-step explanation:

Compare the slopes of the two lines.  In each case the slope is 1.  Therefore the slopes are not negative reciprocals of one another, and the lines are NOT perpendicular.

$ (30-8p)

Step-by-step explanation:

3 DRINKS- 3P

MEDIUM- 2p

large- 3p

so plus 8 p

Answer:

400!

Step-by-step explanation:

Answer:

y= -1, x=3

Step-by-step explanation:

2x+y=5

x-y =4

x= 4+y

Sub 1 into 3

2( 4+y ) 4y =5

8+2y +y =5

8+3y =5

3y =5-8

3y =-3

y=-3÷3

y = -1 #

Sub y = -1 into 3 equation

x=4+(-1)

x=3 #

Answer:

I got up to 25 to the power of 6

Step-by-step explanation:

5 cubed is 25, Hope this leads you in the right direction

Answer:

$343.75

Step-by-step explanation:

$5.50 × 125 = $687.50 ÷ 2 = $343.75

Answer:

$343.75

Step-by-step explanation:

Multiply 5.50 by 125 hours to get the amount of money she has earned. Then since she saved half of it divide that amount which is $687.50 by 2 to get $343.75

Answer:

its multiplication 4 times 3 the product is 12

Step-by-step explanation:

Answer:

60 goldfish

because there is a ratio of 2 gold fish to 3 Betta fish you can cross multiply with 2/5 and x/150 to find the number of goldfish. you can also check the answer because 60 goldfish would leave 90 Betta fish. the ratio of 60:90 can be simplified to a ratio of 2:3

Answer:

x + 2

--------

49

Step-by-step explanation:

that's the answer