giving 10 points and brainliest to the best correct answer, and explain it please.

Answer: GCF = 6, LCM = 72

Step-by-step explanation:

The prime factorization of 18 is 2*3^2 and the prime factorization of 24 is 2^3*3

Therefore, the gcf is 2*3 = 6.

The lcm is 2^3*3^2 = 8*9 = 72

Answer:

1=C

2=E

3=D

4=B

5=A

Step-by-step explanation:

Rational expressions are expressions that can be represented as fractions

The solution to the sum of the rational expressions is [tex]\frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]

The student operation is given as:

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac { 5 x } { x + 7 } + \frac { 7 ( 7 ) } { x + 7 } = \frac{5x + 49}{x + 7}[/tex]

The student's error is that, he multiplied the numerator of 7/x by 7, and he added 7 to the denominator

The correction is as follows:

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x }[/tex]

Take the LCM

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac{5x^2 + 7(x + 7)}{(x + 7)x}[/tex]

Open the brackets

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]

Hence, the solution to the sum of the rational expressions is [tex]\frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]

Read more about rational expressions at:

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Answer: C is your answer

Step-by-step explanation:

Answer:

So 2:14 and 3:21 are two ratios that are equal to 1:7. Students are also asked to determine whether two given ratios are equal, by first writing each ratio as a fraction, then writing each fraction in lowest terms. If the two fractions are the same when written in lowest terms, then the ratios are equal.

Step-by-step explanation:

Above

Please Mark brainliest if this helped i need 3 more!

Answer:

2:14 or 3:21

Step-by-step explanation:

because u multiply

Answer:

6

Step-by-step explanation:

[tex] \frac{2}{5} \times 15 = 6[/tex]

[tex]15\div5\times2=6\:or\:15\times\dfrac{2}{5}=6 \\\text{Answer: 6}[/tex]

Answer: 126 in

I used a calculator. It matches.

hope this helps =)

There is 15 bars in each case.

Subtract 8 from 143 and you get 135.

Divide 135 by 9 and you get 15 :)

Answer:

143 - 8 = 135

Then 135 ÷ 9 = 15

Answer 15 bars in each case.

Answer:

It's 5

Step-by-step explanation:

-4x+5=-15 (subtract 5)

-4x=-20 (divide by -4)

x=5

Step-by-step explanation:

Work backwards. First, create a function:

f(x) = x

First, instead of adding 5, subtract it:

f(x) = x - 5

Then, divide by -4:

f(x) = (x - 5) ÷ -4

Then plug in -15:

f(-15) = (-15 - 5) ÷ 4

= -20 ÷ -4

= 20 ÷ 4

= 5

Answer:

23 years old

Step-by-step explanation:

Given the following question:
Ricky is 5 years older than Ciara...
6 years their ages will equal 53 years of age.

So, we have to remember that in six years their ages will equal 53 and one is five years older than the other.

[tex]23+6=29[/tex]
[tex]18+6=24[/tex]
[tex]29-5=24[/tex]
[tex]29+24=53[/tex]
[tex]29-6=23[/tex]
[tex]=23[/tex]

Which means Ricky as of right now is "23 years of age" and Ciara as of right now is "18 years of age".

Hope this helps.

The volume of the prism, when it is dilated by a scale factor of 3 changed as 7290 meter cube.

The dilation of the solids is the change of the size of it with a factor, by which it is bigger or smaller from original shape.

Given information-

The volume of the prism is 270 meter cube.

The scale factor of dilation is 3.

As the volume of the prism is 270. The dilation is done by the scale factor of 3. Thus the change in the shape for three dimensions is,

[tex]\Delta =3^3\\\Delta=27[/tex]

Now the volume of the prism is 270. To find the volume of the dilated prism, multiplied 27 by the volume of given prism. Thus the volume of the dilated prism is,

[tex]V_d=27\times270\\V_d=7290\rm m^3[/tex]

Hence, The volume of the prism, when it is dilated by a scale factor of 3 is 7290 meter cube.

Learn more about the dilation of solids here;

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Answer:

I think that the answer is d=-7

Step-by-step explanation:

-3(z-7)

-3z+21

z=-7

======================================================

Explanation:

Focus on the outer ring of numbers only.

The left arm of the angle points at 140. The right arm points at 15. The difference of which is 140-15 = 125

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

Alternatively, focus on the inner ring of numbers only.

The left arm points at 40 and the right arm points at 165.

165-40 = 125

We get the same answer as before.

Answer:

Step-by-step explanation:

Hello!

140 -15 =>125°

Answer:

53 dollars and 33 cents

Step-by-step explanation:

53.33

We are given –

Paulo has R$ 80.00 and Carlos has 2/3 of that amount.

We are asked to find, how much Carlos owns and how much they have together.

Explanation :-

At first, we just need to multiply 80by 2, and then we will divide the value by 3, so we find that:

[tex]\qquad[/tex][tex] \bf \longrightarrow 80 \times 2 = 160[/tex]

[tex]\qquad[/tex][tex] \bf \longrightarrow \dfrac{160}{3} = 53.3[/tex]

Therefore, we find that Carlos has 53.3 R$.

Now to find out how much they have together. We have to add Paul's amount to Carlos' amount for that.

[tex]\qquad[/tex][tex] \bf \longrightarrow 53.3 +80 =133.3[/tex]

Henceforth, they both have 133.3 R$. together.

Answer:

Step-by-step explanation:

This might be hard, but here we go.

Given equation:

Solve:

Solve 2nd equation:

Surface area = 96 cm².

Answer: Yellow option

Step-by-step explanation:

The points noted are (0,-2) and (3,-1)

So the slope is (-2--1)/(0-3) = -1/-3 = 1/3

So options blue, green and red are out.

So the only option is yellow

Answer:

(B) V = 8 x 6 x 3

Step-by-step explanation:

The formula to find the volume of a rectangular prism is, V = Length x Width x Height cubic units.

V = 8 x 6 x 3 cm 3.

V = 192 cm 3.

Brainliest?!

Answer:

x=3

Step-by-step explanation:

The square root of 225 is 15

so 15=4x+3

    -3        -3

      12=4x

If 12=4x then x=3

Answer:

9.5 mm

Step-by-step explanation:

They gave the diameter, and we needed to find the radius

r = d × 1/2

r = 19 × 1/2

r = 9.5 mm

Answer:

5

Step-by-step explanation:

Answer:

(x+5^3 is the answer of this question

Answer:

$8000

Step-by-step explanation:

With the provided values you get the equation

1800+.15x=3000

with x being the amount of sales he needs

1. 3000-1800=1200

gives 1200=.15x

2. 1200/.15 = 8000

so x = 8000

Answer:

7 hours

Step-by-step explanation:

12hrs=1116kms

1hr=1116÷12

1hr=93kms

Xhrs=651kms

Xhrs=(651÷93) ×1

=7×1

=7hrs

[tex]\qquad \sf  \: \huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: f(x) = \tan(x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \tan(2x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \dfrac{2 \tan(x) }{1 - { \tan {}^{2} (x) }^{} } [/tex]

replace tan(x) with f(x) in the given equation ~

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \dfrac{2 (f(x) )}{1 - { (f {}^{} (x)) {}^{2} }^{} } [/tex]

The expression that was proved is [tex]tan2x=\frac{2[f(x)]}{1-[f(x)^2]}[/tex]

Given the trigonometry identity

f(x) = tanx

f(2x)  tan2x

From double angle theorem;

[tex]tan2x=\frac{tanx+tanx}{1-tanx(tanx)} \\tan2x=\frac{2tanx}{1-tan^2x}[/tex]

Since f(x) = tan(x), substitute into the result to have:

[tex]tan2x=\frac{2[f(x)]}{1-[f(x)^2]}[/tex] (Proved)

Learn more on double angle here: https://brainly.com/question/14691