Simplify this expression using the distributive property

Answer:

12.

Step-by-step explanation:

to find a ratio, you must add the two numbers in the ratio, (3+5=8) and divide the total by that number (32÷8=4) once that is dine you can multiply the ratio number to find the amount (3×4=12) (5×4=20) so the ratio is 12:20, but the amount of boys is 12.

Answer:

whole number

Step-by-step explanation:

its not a decimal and its not a fraction

Answer:

11 9/10

Step-by-step explanation:

6 + 5 = 11

1/10 + 4/5

1/10 + 8/10 = 9/10

11 + 9/10 = 11 9/10

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Answer: Answer: The answer should be 11 9/10.

Answer:

a = 21

Step-by-step explanation:

Given

[tex]\frac{a+19}{5}[/tex] = 8 ( multiply both sides by 5 to clear the fraction )

a + 19 = 40 ( subtract 19 from both sides )

a = 21

Answer:

asdfasdf

Step-by-step explanation:

Answer:

$1680

Step-by-step explanation:

1500=100%

100+12(interest)=112

112=1.12(multiplier)

1500×1.12=$1680

Answer:

5

Step-by-step explanation:

For every one cup of lime juice, there is 5 cups of sugar.

Answer:

i think its one-fifth

Step-by-step explanation:

i hope my math is right

Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

∴ The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x

∴ The share of John is larger by $50

→ That means the difference between his shares is 50

∵ [tex]\frac{11}{3}[/tex]x - 2x = 50

∴ [tex]\frac{5}{3}[/tex]x = 50

→ Divide both sides by [tex]\frac{5}{3}[/tex]

∴ x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

∴ The total sum of the money is $330

Answer:

A) rectangular prism

Explanation:

The base is a rectangle, not a pentagon nor hexagon. So B and D are out.

The difference between a prism and a pyramid is the shape.

Prism just tends to be extensions of the base while the pyramid would have a pointy top, just like a pyramid.

There is no pointy top on the object, so it is a rectangular prism.

The fraction is 5000/3.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is primarily used to compare and determine ratios and is represented by the symbol %.

Given:

166 2/3 percent as a fraction

Now, converting it into fraction

= 500/3 x 100

= 50000/3

Hence, the fraction is 5000/3

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Answer:

Our conditional statement should be written as:

'If they are congruent segments, then they have equal measures'.

Step-by-step explanation:

When we talk about conditional statements, it means we are about the statements which should contain 'if' and 'then'.

In our example, our hypothesis must be 'if they are congruent segments' and the conclusion should be 'then they have equal measures'.

Therefore, we conclude that our conditional statement should be written as:

'If they are congruent segments, then they have equal measures'.

Answer:

(2n + 1)(n + 3) + (2n + 1)(n - 2)

= (2n + 1)(n + 3 + n - 2)

= (2n + 1)2n + 1)

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

can see 2(2n² + 2n) is   a multiple of 2 but 1 isnt  a multiple of 2

=>  2(2n² + 2n) + 1  is not a multiple of 2

=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The X is 10

Answer:

2/7 or about 29%

Step-by-step explanation:

2 are blue and there are 7 cards total so 2/7 and 2 divided by 7 is .2857 or .29 (29%).

Answer:

2/7

Step-by-step explanation:

There are 7 envelopes and 2 blue envelopes so the probability that the envelope will be blue is 2/7

Answer:

An explicit rule for the nth term of the sequence will be:

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Thus, option (A) is true.

Step-by-step explanation:

Given the sequence

[tex]-4, -8, -16, -32, ...[/tex]

A geometric sequence has a constant ratio r and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the ratios of all the adjacent terms

[tex]\frac{-8}{-4}=2,\:\quad \frac{-16}{-8}=2,\:\quad \frac{-32}{-16}=2[/tex]

As the ratio 'r' is the same.

so

[tex]r=2[/tex]

as

[tex]a_1=-4[/tex]

Hence, the nth term of the sequence will be:

[tex]a_n=a_0\cdot r^{n-1}[/tex]

substituting the values [tex]r=2[/tex] and [tex]a_1=-4[/tex]

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Therefore, an explicit rule for the nth term of the sequence will be:

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Thus, option (A) is true.

Reflection. A reflection is what appears to be the same distance from the other side of the mirror.

Answer:

50

Step-by-step explanation:

(8^1/3) /(5^-2)

(2)/(0.04)

50

Answer:

Step-by-step explanation:

Let the cost of apples be x

Then we have equation:

Cost of apple: $2 per pound

Answer:

(1,1) and (-2,-11) are the correct solutions

Answer:

D. (1, 1) and (-2, -11)

Step-by-step explanation:

A's answers:

Coordinates: (0, -3) and (-1, -1)

Equations when they get solved:

4(0)-3=-3 (correct)

4(-1)-3=-1 (incorrect)

B's answers:

Coordinates: (-2, -5) and (2, 5)

Equations when they get solved:

4(-2)-3=-11 (incorrect)

4(2)-3=5 (correct)

C's answers:

Coordinates: (0, 3) and (3, 9)

Equations when they get solved:

4(0)-3=-3 (incorrect)

4(3)-3=9 (correct)

D's answers:

Coordinates: (1, 1) and (-2, -11)

Equations when they get solved:

4(1)-3=1 (correct)

4(-2)-3=-11 (correct)

Answer:

Step-by-step explanation:

Step one:

given data:

total distance =7.5km

time taken= 30 min= 0.5 hours

we know that the average speed is the average distance divided by time taken

Step two:

mathematically expressed as

speed=distance/time

substituting we have

speed=7.5/0.5

speed=15km/hour

Hence the average speed is 15km/h

The statement which best describes the value of the expression at; x = 1 is; Choice D; The result is a whole number that is neither prime nor composite.

It follows from the task content that the value of the expression be determined at; x = 1 and consequently, the result be classified as a whole number, prime number or composite number.

Hence, when x = 1;

5x - 4 = 5(1) - 4.

= 5 - 4

= 1.

Hence, the result is 1 which can be classified as a whole number (integer). However, it is not a prime number and neither is it a composite number.

Therefore, Choice D is correct.

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Answer:

34in. of snow = +50 snow passes

+34in. of snow = +50 snow passes

Step-by-step explanation:

Answer: 92 or 119

in 4 months, 2 months with 30 days per month,  2 months with 31 days per month

suppose: the number to find is X

have: 90 < X < 30.2 + 31. 2 ⇔ 90 < X < 122

if X is a number has 2 digits => X is xy

=> [tex]\left \{ {{x+y=11} \atop {90<x\leq 100}} \right.[/tex]

=> xy = 92

if X is a number has 3 digits => X is abc

we have: [tex]\left \{ {{a+b+c=11} \atop {100\leq abc<122}} \right.[/tex]

because 100 ≤ abc < 122 => a = 1; b = 0 or 1

+) if a =1 ,b = 0 but a+ b +c = 11 => c = 10 (removed because c is a 1-digit number)

+) if a = 1, b = 1 => c = 9

=> abc = 119

=> X is 92 or 119

Step-by-step explanation:

Answer:

12x plus 3x equals $32

Step-by-step explanation:

I just wrote an equation that best fits the problem

Answer:

B

Step-by-step explanation:

.99*6= 5.94

Answer:

B. 5.94

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

X is the number miles driven so C. is the BEST answer choice.

Answer:

Its C

Step-by-step explanation:

Answer:

k=-14

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y = mx + b , "b" is y-intercept with coordinates (0, b)

(0, 5)

(6, 7)

m = [tex]\frac{7-5}{6-0}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + 5