Factor the expression using the GCF.
12y - 8

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

Explanation:

Let's say the room has walls and ceiling of 350 sq ft in total area.

Sally can paint this area in 5 hours when working alone, so her unit rate is 350/5 = 70 sq ft per hour.

Steve needs 7 hours to do the same job when working alone, so his unit rate is 350/7 = 50 sq ft per hour.

Assuming the two people can work together without hindering each other (i.e. without getting in each other's way), then the two unit rates combine to 70+50 = 120 sq ft per hour.

Divide the total area over this combined unit rate

350/120 = 2.91667 approximately

This rounds to 2.9

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Alternatively, you can solve the equation

[tex]\frac{1}{5} + \frac{1}{7} = \frac{1}{x}[/tex]

And you should get roughly x = 2.9

Answer:

1st option

Step-by-step explanation:

Complementary angles sum to 90°

∠ BFC and ∠ AFB form a right angle and sum to 90°

These angles are therefore complementary

Answer:

D) -4

Step-by-step explanation:

Step 1: Divide 24 by 6.

Step 2: Put in the negative sign.

Thus, the answer is D) -4.

[tex]\bold{\huge{\underline{ Answer }}}[/tex]

Here , We have to create a real life problem which is based on the similar traingle.

There are three conditions that proves the given triangles are similar :-

Suppose your teacher told you that the two apple trees in a school garden are similar to each other. Now, you are curious to know why both the trees are similar to each other. you have asked the same question to your teacher, She told you to work on the similar traingles theorem .

Let consider both the apple trees as tree 1 and tree 2

By using similarity theorem

That is,

[tex]\sf{\dfrac{ 20}{40}}{\sf{ = }}{\sf{\dfrac{12}{24}}}{\sf{=}}{\sf{\dfrac{ 30}{60}}}[/tex]

[tex]\sf{\dfrac{ 1}{2}}{\sf{ = }}{\sf{\dfrac{1}{2}}}{\sf{=}}{\sf{\dfrac{ 1}{2}}}[/tex]

From above we can conclude that,

Both the apple trees are similar to each other because all the three sides of both the apple trees are in proportion.

The conclusion is that both of the Orange trees are similar to each other because all the three sides of both the Orange trees are in proportion.

Let consider both the Orange trees as tree 1 and tree 2

If we have:-

Height of the tree 1 = 20 m

Height of the tree 2 = 40 m

The shadow casted by Tree 1 = 12 m

The shadow casted by tree 2 = 24 m

The distance between the height and shadow of Tree 1 = 30 m.
The distance between the height and shadow of Tree 2 = 60 m

By using triangle similarity theorem, we have;

20/40 = 12/24 = 30/60 = 1/2

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Answer:

50 + 40x

Step-by-step explanation:

Answer:

Step-by-step explanation:

1960 = 88,000,000

2010 = 242,000,000

formula: (new-old)/old* 100

(242,000,000 - 88,000,000)/88,000,000 * 100

154,000,000/88,000,000*100

1.75*100

=1.75%

I'M SORRY NOT SURE OF THE SECOND PART

An equation can be used to define any non-vertical line in the Cartesian Coordinate system. The correct option is C.

A nonvertical line is a line that has a slope and is defined by its steepness.

It can be represented by a straight line equation y = mx+c, here m is the slope and c is the y-intercept.

The slope can be determined by using two points on the line (x₁,y₁) and (x₂,y₂)

m = (y₂-y₁)/(x₂-x₁)

From the options given, An equation can be used to define any non-vertical line in the Cartesian Coordinate system.

The correct option is C.

The complete question is attached with the answer.

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Answer:

he's going 77mph and then 2069 meters per hour.

Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son:

En este problema, hay que:

La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

En que:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]

Por eso:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1074 = 0.8926[/tex]

Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

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Answer:

A

5(b+2)

Step-by-step explanation:

Solution:

Note that:

Let's reread the sentence carefully.

Five times the sum of b and two.

       ↥                            ↥          ↥

       5                           (b   +    2)

Putting them together gives us 5(b + 2).

Solution:

Option A

Option B

Option C

Option D

Option C is correct.

Answer:

5

Step-by-step explanation:

Part A: 4 x 6 = 24 - 5 = 19 = 19, and v= is equal to or less than. Because 19 is the same as 19, saying it is larger than is false.

Part B (of two):

The answer is incorrect: 4 x 4 = 16 + 3 = 19 = 23.

20 + 3 = 23 = 23 = 4 x 5 = 20 x 5 = 20 x 5 = 20 x 5 = 20 x True, but we should also consider the other possibilities.

Incorrect: 4 x 6 = 24 + 3 = 27 = 23

Incorrect: 4 x 7 = 28 + 3 = 31 = 23

Incorrect: 4 x 8 = 32 + 3 = 35 = 23

As a result, 5 is the correct response!

Answer:

He will go to the store 10 times in a 5-week period.

Step-by-step explanation:

We can assume that in one week, Jamal went to the store 2 times, considering he went to the store 4 times in 2 weeks. Next, we can assume that he will go to the store 10 times in 5 weeks, since 2×5=10.

Answer:

D) 40%

Step-by-step explanation:

I just looked it up on a calculator.

Answer:

7.6 cm

Step-by-step explanation:

The formula to find the area of the parallelogram is :

Area = Base × Height

They have already given,

Area = 91.2 cm²

Base = 12 cm

Height =?

To find the height, let the height be h.

Let us solve it now.

Area = Base × Height

91.2 cm² = 12 cm × h

Divide both sides by 12.

7.6 cm = h

Therefore, the height is 7.6 cm.

Answer:

there is no graph and y=y makes no sense

Step-by-step explanation:

Answer:

One thousand three hundred forty eight

Step-by-step explanation:

Answer:

1. 32x3=96

2. 384

3. 262 (I think)

4. now let's do cross multiplication here one day =16 7days =n, n=16*7=112

5. 14 cups

6. 7 pints

7. 3.5 quarts

8. 6 days. There are 4 quarts in 1 gallon so there are 16 quarts in all. Since they drinks 3 quarts everyday, we divide 16 by 3. The answer is 5.3 but I rounded it up because the question asks how many days will it take for the family to finish all the 4 gallons.

Step-by-step explanation:

Answer:

y = 6x - 1

Step-by-step explanation:

Hope it helps.

Step-by-step explanation:

123 +

 12

______

   5              (3+2)

 3                (2+1)

1                    (1)

so

123 + 12 = 135

1 + 1 + 1 = 3

3 + 135 = ??

comment answer

please mark brainest

Answer:

Given Integral is:

[tex] \\ { \displaystyle{ \int{ \large{ \rm{ \frac{1}{x( {x}^{3} + 1) }dx }}}}} \\ [/tex]

Can be written as:

[tex] \\ { \large{ \longrightarrow{ \displaystyle{ \int { \rm{\frac{3 {x}^{2} }{3 {x}^{2} \times x( {x}^{3} + 1) } dx}}}}}}[/tex]

[tex] \\ { \large{ \longrightarrow \frac{1}{3} \: { \displaystyle{ \int{ \rm { \frac{ {3x}^{2} }{ {x}^{3} ( {x}^{3} + 1)} dx}}}}}}[/tex]

Now to evaluate this integral , we use the method of Substitution.

So, Substitute:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: { \rightarrow \: {\large{\rm{ {x}^{3} = y}}}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \rightarrow \: { \large{ \rm{3 {x}^{2} dx = dy}}}[/tex]

So, on Substituting the values in above integral, we get:

[tex] \\ { \large{ \longrightarrow{ \frac{1}{3} \: \displaystyle{ \int{\rm{ \frac{1}{y(y + 1)} }}}}}}[/tex]

[tex] \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ \rm{ \frac{1 + y - y}{y(y + 1)}dy }}}}}}}[/tex]

[tex] \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ {\rm{ \frac{y + 1 - y}{y(y + 1)}dy }}}}}}}}[/tex]

[tex] \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ \rm{ \left[ \frac{1}{y} - \frac{1}{y + 1} \right ] }dy}}}}}}[/tex]

[tex]{ \large{ \longrightarrow{ \rm{ \frac{1}{3} \left( log |y| - log |y + 1| \right) + c}}}}[/tex]

[tex]{ \large{ \longrightarrow{ \rm{ \frac{1}{3} log | \frac{y}{y + 1} | + c }}}}[/tex]

[tex]{ \large{ \longrightarrow{ \rm{ \frac{1}{3} log | \frac{ {x}^{3} }{ {x}^{3} + 1 } | + c }}}}[/tex]

Hence,

[tex] \\{ \boxed{ \pink { \large{ \displaystyle{ \int{ \rm{ \frac{dx}{x ({x}^{3 } + 1 )} = \frac{1}{3 } log{ \huge{ |}} \frac{ {x}^{3} }{ {x}^{3} + 1} { \huge{ | }} + c}}}}}}}[/tex]

After applying algebraic substitution, partial fraction decomposition and integration rules the integral of the non-trascendental expression [tex]\frac{1}{x\cdot (x^{3}+1)}[/tex] is equal to the trascendental expression [tex]I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C[/tex].

According to the statement we have an integrable rational expression formed by non-trascendental expressions, that is, expressions whose behavior is described solely by algebraic components. This expression can be solved by algebraic substitution after making the following modifications:

[tex]\int {\frac{dx}{x\cdot (x^{3}+1)} } = \int {\frac{3\cdot x^{2}}{3\cdot x^{3}\cdot (x^{3}+1)} } \, dx = \frac{1}{3}\int {\frac{3\cdot x^{2}}{x^{3}\cdot (x^{3}+1)} } \, dx[/tex]

And the following substitutions are used: u = x³, du = 3 · x² dx

[tex]\frac{1}{3} \int {\frac{du}{u \cdot (u+1)} }[/tex]

This is expression is equivalent to the following by partial fraction decomposition:

[tex]-\frac{1}{3}\int {\frac{du}{u+1} } \, du +\frac{1}{3}\int {\frac{du}{u} }[/tex]

And the integral is now solved:

[tex]I = -\frac{1}{3}\cdot \ln |u+1| + \frac{1}{3}\cdot \ln |u| + C[/tex]

[tex]I = \frac{1}{3}\cdot \ln \left|\frac{u}{u+1} \right| + C[/tex]

[tex]I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C[/tex]

Where C is the integration constant.

After applying algebraic substitution, partial fraction decomposition and integration rules the integral of the non-trascendental expression [tex]\frac{1}{x\cdot (x^{3}+1)}[/tex] is equal to the trascendental expression [tex]I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C[/tex].

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Answer:

x=7

Step-by-step explanation:

to get 2 they did 12/2=6

you then do 42/6= 7

x=7

Answer:

here’s what I got

Step-by-step explanation:

Answer:

college

Step-by-step explanation:

The mean of a dataset is the average or the expected value of the dataset

The mean of the dataset is 4/5

The dataset is given as: {1 1/3, 1/4, 2/3, 1/2, 1 1/4}

The mean of a dataset is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{1 \frac 13+ \frac 14+ \frac 23+ \frac 12+ 1 \frac 14}{5}[/tex]

This gives

[tex]\bar x = \frac{4}{5}[/tex]

Hence, the mean of the dataset is 4/5

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Answer:

I think its 4/5

Answer:

4a-b-c

Step-by-step explanation:

we first look at the letters of each number. if there is only a letter, there is an imaginary 1 in front of it. we need to make sure that we add the numbers that have the exact same letters because they are known as like terms. we cannot add 6a and 4b because the letters are different and they are known as unlike terms. When we add numbers with the same letter ONLY the number changes

Answer:

3

Step-by-step explanation:

I used a calculator

Hi! I hope you're enjoying your day!

First of all, 5 times 3 (multiplied by 3) is equal to 15.

Then, 15 over 5 (15 divided by 5) is equal to 3.

Here's an easier way to think about it:

[tex]\bold{\displaystyle\frac{5*3}{5}}[/tex]

The 5's cancel, so we're left with 3.

Hence, the answer's

[tex]\boxed{\boxed{\bold{3}}}[/tex]

Hope everything is clear.

If you have any questions, please ask.

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[tex]\rule{250}{3}[/tex]

Answer: m A = 150°

well if what you are talking about is arcs, which is what it seems like, the ans for m A = 150°

Step-by-step explanation:

all of the arcs in a circle add up to 360.
so
360 - 101 - 109 = 150

150 would be your degree

Answer:

y - 2= -8(x - 1)

(I believe so)

Step-by-step explanation:

Since the formula of a point-slope form is y-y1=m(x-x1), you should just substitue the values into the formula.

(If needed simplified version : y-2=-8x+8)

Answer:

60

Step-by-step explanation:

if i see it properly, one side is 15, so 15 x 4 = 60