Which expressions are equivalent to this expression?



3(n+4)

Select each correct answer.


2n+12+n

12+n+n+n


3n−12

3n−12

Answer:

n = - 6

Step-by-step explanation:

divide both sides by 2

n + 5 = - 1 ( subtract 5 from both sides )

n = - 6

OR

distribute the parenthesis by the 2 outside

2n + 10 = - 2 ( subtract 10 from both sides )

2n = - 12 ( divide both sides by 2 )

n = - 6

Answer: 10 dessert bowls.

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Rewrite 1 1/4 ounces as a fraction:

[tex](4+1)/4=\frac{5}{4}[/tex]

2. You must add 5/4 ounces of strawberry preserve and 7/8 ounce of strawberry preserve, as following:

[tex]\frac{5}{4}ounces+\frac{7}{8}ounces=\frac{17}{8}ounces[/tex]

3. Now you must divide the result obtained by 1/5:

[tex]\frac{17}{8}[/tex]÷[tex]\frac{1}{5}=10.62[/tex]

4. Therefore, you can conclude that 10 dessert bowls can be completely fill.

Answer:

Paul's average speed for his bicycle trip is 12 miles/hour.

Step-by-step explanation:

Since Paul rode a total of 42 miles, we need to add up the total time it took him to complete all 42 miles.  Since her rode 1.5 hours in the morning and another 2 hours in the afternoon, he rode a total of 3.5 hours.  Speed is calculated by dividing distance by time.  Since his total distance is 42 and his total time is 3.5, we divide 42 by 3.5 to get 12.  Since our calculations included miles and hours, then our final answer would be 12 miles per hour.  

To find out how many days 1/3 of a packet of milk powder will last, divide 1/3 by 2 to get 1/6 of a day.

To find out how many days 1/3 of a packet of milk powder will last, we can use the information given. Kate uses 2 packets of milk powder per day. This means in one day, she uses 2 packets. So, in order to calculate how many days 1/3 of a packet will last, we need to divide 1/3 by 2. This gives us 1/6.

Therefore, 1/3 of a packet will last 1/6 of a day.

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1/3 of a packet of milk powder will last 1/6 of a day, or 4 hours, for Kate who uses 2 packets of milk powder per day.

If Kate uses 2 packets of milk powder per day, to determine how many days 1/3 of a packet of milk powder will last, you can perform a simple division. Since she uses 2 packets per day, you would divide the amount she has, 1/3 of a packet, by her daily usage, which is 2 packets. Therefore:

1/3  packets / (2 packets/day) = (1/3) / 2 days = 1/6 days

Thus, 1/3 of a packet of milk powder would last for 1/6 of a day. To determine the number of hours this represents, you can multiply 1/6 of a day by the number of hours in a day:

(1/6 day) times (24 hours/day) = 4 hours

Therefore, 1/3 of a packet of milk powder will last for 4 hours based on her current usage.

Answer:

slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = [tex]\frac{2}{3}[/tex] x is in this form

with slope m = [tex]\frac{2}{3}[/tex] and c = 0

Answer:

Very confident

Step-by-step explanation:

The closer the correlation coefficient is to 1, the stronger the correlation.  Anything above .4 is relatively strong.    So I would be very confident.

Answer:

Step-by-step explanation:

The awnser is -279936

Answer:

6^7 = 279936

Step-by-step explanation:

(-6) ^ 2  * (6) ^5

We can take the negative outside

(-1) ^2 (6)^2  (6)^5

When the base is the same, we can add the exponents

(-1)^2 * 6^ (2+5)

(-1)^2 6^7

Negative 1 squared is (-1)*(-1) = 1

6^7

279936

Answer: sir or ms your anwser would be C 98. hope this helps ;)

Step-by-step explanation:

Answer: 5 feet 5 inches

Step-by-step explanation:

2 2/3 + 2 3/4 is equal to 5 5/12 so the drapes will be 5 5/12 feet long (or 5 feet 5 inches)

Answer:

The length of the drapes have to be [tex]5\frac{5}{12}\ ft[/tex]            

Step-by-step explanation:

Given : Lee needed to make Drapes the length from the floor to the top of the window the wall beneath the window had the height of [tex]2\frac{2}{3}[/tex] feet and the height of just the window measured [tex]2\frac{3}{4}[/tex] feet.

To find : How long do the Drapes have to be?

Solution :

The height of the wall beneath the window is [tex]2\frac{2}{3}=\frac{8}{3}\ ft[/tex]

The height of the window is [tex]2\frac{3}{4}=\frac{11}{4}\ ft[/tex]

The total height from the floor to the top of the window is

[tex]H=\frac{8}{3}+\frac{11}{4}[/tex]

[tex]H=\frac{32+33}{12}[/tex]

[tex]H=\frac{65}{12}[/tex]

[tex]H=5\frac{5}{12}\ ft[/tex]

Therefore, The length of the drapes have to be [tex]5\frac{5}{12}\ ft[/tex]

Answer:

you save $52.11 by shopping at the second store

Step-by-step explanation:

The total sale price at the second store is $240.95.

additional 10% off coupon for the second store for purchases over $200.00

10% discount on sale price is 240.95 * 10%

[tex]240.95 * \frac{10}{100} = 24.095[/tex]

Total sale price after 10% discount =240.95 - 24.095=$216.86

First store sale price = $268.97

second store sale price = $216.86

Difference = 268.97 - 216.86 = 52.11

you save $52.11 by shopping at the second store

Answer:

it is because 10 times 100 is 1000 so it would be the same thing

Step-by-step explanation:

Answer:

During WWII, 120,000 Japanese-Americans were forced into camps, a government action that still haunts victims and their descendants. ... The roundups began quietly within 48 hours after the Japanese attacked Pearl Harbor, on December 7, 1941. The announced purpose was to protect the West Coast.

hope this helps.

Step-by-step explanation:

Answer: 90 people

Step-by-step explanation:

3 ladles per person = 150 people x 3

= 450 ladles full

450 ladles full = 5 ladles per one person = 450/5 = 90 people

Answer:

x=71

Step-by-step explanation:

Since this is an isosceles triangle the bottom 2 angles are equal.

The three angles of the triangle are x, x, and 38.  They must add to 180 degrees

x+x+38 = 180

Combine like terms

2x+38=180

Subtract 38 from each side

2x+38-38 = 180-38

2x = 142

Divide each side by 2

2x/2 =142/2

x =71

Answer:if your still on it tell me

Step-by-step explanation:

By using the ratio and proportion method, it is calculated that 5 ladles of soup can feed 96 people.

This problem can be solved using the ratio and proportion concept in Mathematics. Given that 3 ladles of soup feed 160 people, we can set up the ratio 3 ladles : 160 people. If the cook now provides 5 ladles, we need to know how many people this amount can feed. To find this, we cross-multiply in the ratio.

Calculating: (3 ladles x X people) = (160 people x 5 ladles), after simplifying we find that X = 96 people. This calculation suggests that the soup will now feed 96 people if each person is given 5 ladles of soup.

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Answer:

[tex]-13a+22[/tex]

Step-by-step explanation:

we have

[tex]2(a+5)-3(5a-4)[/tex]

step 1

Apply the distributive property  both terms

[tex]2a+2(5)-3(5a)+3(4)[/tex]

[tex]2a+10-15a+12[/tex]

step 2

Combine like terms

[tex](2a-15a)+(10+12)[/tex]

[tex](-13a)+(22)[/tex]

[tex]-13a+22[/tex]

Answer:

Transformation that produces an image that is the same shape but different size is known as Dilation.

Step-by-step explanation:

There are many types of translations.

1. Rotation

2. Reflection

3. Translation

4. Dilation

We know that rotation, reflection and translation are rigid transformation. It means these transformation can not effect the size of the preimage.

Dilation represents the enlargement and compression of the figure according to the scale factor k.

If |k|>1, then it represent enlargement and if |k|<1, then it represent compression.

Therefore the transformation that produces an image that is the same shape but different size is known as Dilation.

Hi there!

Step-by-step explanation:

[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{2-4}{3-(-4)}=\frac{-2}{7}[/tex]

Slope is -2/7

Final answer is -2/7.

Hope this helps!

Have a nice day! :)

:D

-Charlie

Thank you! :)

:D

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-4, 4) and (3, 2). Substitute:

[tex]m=\dfrac{2-4}{3-(-4)}=\dfrac{-2}{3+4}=-\dfrac{2}{7}[/tex]

[tex]d(e-f)=g\\e-f=\frac{g}{d} \\e-\frac{g}{d}=f[/tex]

Steps:

Divide by D

Add F

Subtract g/d

Answer:

f = -g/d +e

Step-by-step explanation:

d (e-f) =g

Divide each side by d

d/d (e-f) =g /d

(e-f) =g /d

Subtract e from each side

e-e-f = g/d -e

-f = g/d -e

Multiply by -1

*-1 (-f) = -1(g/d -e)

f = -g/d +e

If order matters, then there are 12 ways to do this

If order does not matter, then there are 6 ways to do this

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

We have 4 choices for the first slot and 3 choices for the next (we can't reuse a letter) so that's where 4*3 = 12 comes from

If order doesn't matter, then something like AB is the same as BA. So we are doubly counting each possible combo. To fix this, we divide by 2: 12/2 = 6

To be more formal, you can use nPr and nCr to get 12 and 6 respectively (use n = 4 and r = 2)

In combinatorics, you can choose 2 letters from 4 (A, B, C, D) without replacement in 6 ways, according to the 'combination' principle in probability.

The subject of this question is combinatorics, a topic in Mathematics, particularly probability. You are asked to choose 2 letters without replacement from a set of 4 different letters {A, B, C, D}. To do this, we can use the formula for combinations, which is denoted as nCr, where n is the total number and r is the number being chosen. In this case, we can see it as 4C2.

To execute this, the formula is ‘n! / [r!(n-r)!]’ where '!' denotes factorial, meaning you multiply all natural number up to that number. Hence, 4C2 = 4! / [2!(4-2)!]. Factorial 4 (4!) = 4 * 3 * 2 *1 = 24. Factorial 2 (2!) is simply 2 * 1 = 2. Thus the calculation becomes 24 / [2*(2!)], simplifying to 24 / 4 which equals 6. So, there are 6 ways to choose 2 letters from 4 without replacement.

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Answer: Choice D) ordered pair is not a solution to the second equation

We can see this by replacing x and y with 1 and -4 respectively

2x + y = 4

2*1 + y = 4 .... replace x with 1

2*1 + (-4) = 4 ... replace y with -4

2 - 4 = 4

-2 = 4 .... this equation is false because -2 and 4 are different values

The last equation being false means that the original equation 2x+y = 4 is also false when (x,y) = (1,-4). Therefore, this ordered pair is not a solution to the second equation 2x+y = 4

A solution to the system must make BOTH equations true simultaneously, not just one.

Answer:

D

Step-by-step explanation:

2x + y = 4

If you substitute x = 1, and y = -4, then

2(1) - 4 = 2 - 4 = -2  not 4

Answer:

C

Step-by-step explanation:

Arrange them from smallest x value to largest x value, but keep the values the same.

Answer: Student A did not correctly solve the equation because they subtracted 3c to 5c instead of added.

Answer: The scale factor of the dilation is C. 5/2

Step-by-step explanation:

Answer:

Solution point is (-1,-9)

Step-by-step explanation:

Put the value of y in the first equation into the second equation.

=======

Solve for y

The statement which best describes the graph of g(x) is:

                Option: A

    A.  g(x) stretches f(x) vertically by a factor of 2.

We are given a original function f(x) as:

          [tex]f(x)=2\ln x[/tex]

and a transformed function g(x) as:

               [tex]g(x)=4\ln x[/tex]

We know that any transformation of the type:

  f(x) to a f(x) is a vertical stretch by a factor of a if a>1

and a vertical compression if a<1

Here we have:

[tex]g(x)=2\times (2\ln x)\\\\i.e.\\\\g(x)=2f(x)[/tex]

i.e. g(x) is a vertical stretch of f(x) by a factor of 2.

Answer:

There are 10 wizards in the magic club.

Step-by-step explanation:

if 6/5 (or 20% more) is how many goblins in comparison to wizards, there are 120/6 or 20=1/5. 5/5 is how many wizards there are so: 5*20=100 wizards

Answer: 11.88

Step-by-step explanation: First You Add 8.09 then you add 3.79 Therefore your answer is 11.88

Hope This Helps You Ace Your Test

Answer:

$70.77

Step-by-step explanation:

Let  represents the total cost. We know for our problem that each yard of satin fabric costs $8.09, so  yards will cost . similarly,  each yard of cotton fabric costs $3.79, so  yards will cost . We can also infer that the total cost, , will be the sum of the yards of satin fabric and the yards of cotton fabric, so:

Now, to determine the amount that Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, we just need to replace  and  in our expression:

We can conclude that if Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, she would spend $70.77

Answer:

- 2      -2.5 and neither.    For the left Panel

A or 40.5 for the right panel

Step-by-step explanation:

Slope AB

Givens

(3,5) (2,7)

Formula

m = (y2 - y1)/(x2 - x1)

Solution

Slope CD

Givens

(10,5) (6,15)

Formula

m = (y2 - y1)/(x2 - x1)

Solution

What are they?

Answer: Neither.

Right Panel

The best way to start this is to plot the triangle. I use Desmos for this. See diagram below

The base is between (-6,8) and (3,8)

The 8s are the same for both points. The distance between -6 and 3 is abs(-6) + abs(3) = 9

That is the base of the triangle.

The height is between (-6,17) and (-6,8)

17 - 8 = 9    

Notice I did not have to use the absolute values. Why not?

Answer:

Patrick earned $262.50 by mowing lawns

Step-by-step explanation:

500*0.75=375

375*.7=262.5

Answer:

$262.50

Step-by-step explanation:

It is a poorly worded question.

25 Percent of the 500 was from his birthday money.

500 * .25 = 125

That leaves 500-125 = 375

He saved 30 % of the 375 from his allowance

375 * .3 =112.50

375-112.50 =262.50

The rest is from mowing lawns.