Lin and Noah are solving the equation `7(x+2)=91`. Lin starts by using the distributive property. Noah starts by dividing each side by 7. Show what Lin's and Noah's full solution methods might look like.

HELPPP

Answers

Answer 1

Answer:

Step-by-step explanation:

Lin’s method

- multiply both x and 2 by  7

7x+14 = 91

- add -14 at both members

7x+14-14 = 91-14

7x = 77

- divide the two members by 7

x = 11

Noah’s method

- divide the two members by 7

x+2 = 13

- add -2 at both members

x+2-2 = 13-2

x = 11

Answer 2

Answer:

The solution is x=11

Step-by-step explanation:

The original equation is

7(x+2)=91

Lin uses the distributive property, which states that

a (x+y) = ax + ay

By applying the property to this case,

7(x+2)=91

7x+14=91

Then we subtract  14 on both sides:

7x+14 - 14 = 91-14

7x=77

Finally, we divide by 7 on both sides:

7x÷7 = 77÷7

x=11

Noah starts by dividing each side by 7, so he gets:

7(x+2)÷7 = 91÷7

x+2= 13

Then he can subtract +2 from both sides:

x+2-2 =13 - 2

x=11

So, they get the same result. The similarity between the two methods is that  they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.


Related Questions

pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you

Answers

Answer:

36 cubic feet

Step-by-step explanation:

Answer:

To find volume use the solution of l x w x h

Length x Width x Height

Step-by-step explanation:

16. 2 x 3 x 6 = 36 cubic feet

???. 5/8 x 3/4 x 2  = 15/16

???. 2 x 1 1/4 x 1 1/2 = 3 3/4 cubic inches

25.

1 = 4.89 / 3 = 1.63

3 = $4.89

9 = 4.89 + 4.89 + 4.89 = 14.67

10 = 14.67 + 1.63 = $16.30

???. Interquartile Range = Q3 - Q1

65 - 62 = 3

If i remember correctly

Your grandmother always has a jar of cookies on her counter. One day while you are visiting, you eat 5 cookies from the jar. In the equation below, c is the number of cookies remaining in the jar and b is the number of cookies in the jar before your visit.

Answers

Answer:

b - 5 = c

Step-by-step explanation:

if you take the number of cookies before the visit (B) and then you eat 5, that would be (B - 5). after you eat the cookies, C is the amount left. so it’s a subtraction problem without 2 numbers. so the equation would be

b - 5 = c

or

before - 5 = after

helllllllllllllp me please i just wanna finish this worksheet

Answers

Answer:

what

Step-by-step explanation:

Can someone help me you’re correct me it only let me type one number plz

Answers

Answer:

9

Step-by-step explanation:

Hello There!

The circumference is equal to the diameter times π

The diameter given is 9m

NOTE: it says "leave answer in terms of π" meaning that we do not apply π to the diameter

So the answer would be just 9π

Answer:

9

Step by step:

C= 2 x pi x r

c = 2 x pi x 4.5

c=  9 x pi

In ΔCDE, the measure of ∠E=90°, DE = 84 feet, and EC = 13 feet. Find the measure of ∠C to the nearest tenth of a degree.

Answers

Answer: 81.2

Step-by-step explanation:

what are all possible values for x in the equation x^3=375?

Answers

Answer:

Select all possible values for x in the equation.

x cubed=375.

5*the cubed root of 3

the cubed root of 375

75*the cubed root of 5

125*the cubed root of 3

I am trying to do a practice test to prepare for my real test tomorrow and I don't understand the question. Can anyone help explain it plz any help would be great.

Step-by-step explanation:

What is the slope of a line perpendicular to the line y=2/3 x + 3 ( just find the slope)

Answers

the slope would be 3/2

3. The following sequence shows the number of pushups Kendall did each week, starting with her first week of exercising: 6, 18, 54, 162…
(a) What is the recursive rule for the sequence?
(b) What is the iterative rule for the sequence?

Answers

{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

SEQUENCE: 6, 18, 54, 162

18/6 = 3

54/18 = 3

162/54 = 3

then, r (common ratio) = 3

_________________________________________

RECURSIVE RULE: r = 3

an = a(n - 1) × r       [formula]

ANSWER: an = a(n - 1) × 3

_________________________________________

ITERIATIVE RULE: r = 3, a1 = 6

an = a1 × r^(n - 1)       [formula] [ ^(n-1) is an exponent]

ANSWER: an = 6 × 3^(n - 1)

Graph y=\dfrac{2}{7}\,xy= 7 2 ​ xy, equals, start fraction, 2, divided by, 7, end fraction, x.

Answers

Answer:

The answer is A, C, and D

The graph should be 7 units for x and 2 units for y.

Step-by-step explanation:

Full Question: Graph y = 2/7x

Look at attachment:

Hope this helps! :)

The graph of the linear function y = (2/7)x will be given below.

What is the graph of the function?

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The function is given below.

y = (2/7)x

Compare the function with standard equation of the line,

Then the slope of the function is 2/7 and the y-intercept is zero, that means the line is passing through origin.

Then the graph of the linear function y = (2/7)x will be given below.

More about the graph of the function link is given below.

https://brainly.com/question/9834848

#SPJ2

Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you.

Answers

Answer:

Parallel: y = -2x + 2 (Or any value that isn't 4), Perpendicular: 1/2x + (Anything),

Neither: y = 4x - 7 (Or any random equation that does not have the same, or opposite reciprocal slope)

Step-by-step explanation:

In a right triangle, one acute angle measure 35 degrees and its adjacent side is 40 yards.
Find the opposite side.
Paragraph. Describe how to find the opposite side of one right triangle with one acute angle of 35 degrees and adjacent side of 40 yards.
Word Bank: right triangle, opposite and adjacent side,

Answers

Answer:

Opposite side =28 yards

Step-by-step explanation:

Tan_°=Opposite÷ Adjacent

Tan 35° =Opposite÷40yards

Opposite=40*Tan35°

Opposite=28yards

Does anyone know the answer so this question

Answers

Step-by-step explanation:

f(3)= -2*3^2 +3 -5

= -2*9 +3 -5

= 16

2 5/6 divided by 3 1/4 please explain .

Answers

2 5/6 divided by 3 1/4 is like multiplying.
You turn both mixed fractions into improper fractions. Then flip 13/4 into 4/13 and multiply. I’m sorry if this doesn’t make sense.

17/6 x 13/4 to 17/6 x 4/13

17/6 x 4/13 = 68/78 = 34/39

Answer:

[tex]\frac{34}{39}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]

[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]

So now

[tex]\frac{17}{6} / \frac{13}{4}[/tex]

Flip the second fraction and multiply

[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]

Now reduce the fraction

[tex]\frac{34}{39}[/tex]

A bus route takes about 45 minutes. One driver's times for 9 runs of the route are shown.
Times to Complete Bus Router (min)
44.6 44.8 45.0 44.7 44.6 44.9 44.8 44.8 45.0
Calculate the mean of the bus times.
The mean time for this driver to complete the route was
minutes.

Answers

You need to add all the numbers(358.4) and then divide by the total amount of numbers not counting 45 twice(8) and the answer is 44.8

Margarita was buying soil for her spring garden. What would be the most reasonable amount of soil she would need to buy for a garden?
A. 5 grams
B. 50 liters
C. 50 kilograms
D. 5,000 kilograms

Answers

Answer:

C

Step-by-step explanation:

No soil bag weighs A or B and D is too much unless she has many acres.

Answer  The guy Above  is right

x(x-4)=12 solve for x​

Answers

Answer:

x=6 and x=-2

Step-by-step explanation:

so

x(x-4)=12

first distribute

then move the terms

and the u get

x=6 and x=-2

hope this helped

Answer:

x=6, x=-2

Step-by-step explanation:

x(x-4)=12

distributive property, x^2-4x=12

x^2-4x-12=0

(x-6)(x+2)

therefore, x=6, x=-2

What is the result of subtracting the second equation from the first?
-4x-2y=-2
x-2y=9

Answers

Answer:

x=2.2

y=-3.4

Step-by-step explanation:

subtract the second from the first

-5x=-11

x=2=2

substituting by x in the first equation

so y=-3.4

2/3 x 6 need help asap​

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/3 x 6 is 4 because when you times the 2 in 2/3 u get 12 and 12/3 is the same as 4

Plzzzz help with the square ( parallelograms)

Answers

Answer:

#1=8

#2=3

Step-by-step explanation:

Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip to kings castle gray wolf runs at that original constant speed for the first 36 km then runs the rest of the way 3 km/h faster. what was grey Wolf original speed if the return trip took 15 minutes less than the trip from kings castle to magic apple garden?

ahhh i rlly need help with this one haha thanks!!

Answers

Answer:

The original speed of the grey wolf can be 9 and/or 48 km/hour

Step-by-step explanation:

There are two trips. One to King Castle (KC) to Magic Apple Garden (MAG), and then back (MAG - KC).

First trip: KC - MAG

It takes the same distance as MAG - KC so distance can be D for both.

Then it is stated that it takes 5 hours or 300mins for him to go from KC - MAG, and the speed is constant.

Let x be speed.

So the equation for this is:

D=5x

Second trip: MAG - KC

Here he goes 36 mi at constant speed (x), then picks up his speed by 3 km/hour (x+3).

For Time:

He reaches to KC, 15 mins earlier than KC - MAG, so he reaches there in 4.75 hours or in 275 min.

The problem splits into two as there are two different times, for the two parts of the journey or distance for MAG - KC.

Let T#1 = a, and T#2 = b.

Let D#2 = D-36

The equation for a:

a = 36/x --> This is he is at a constant speed and went for 36mi.

Next:

The equation for b:

b = (x+3)/D#2

These two equation have to be added as (a+b) = 4.75 --> 4.75 is the total time for MAG - KC.

So the equation is:

36/x + (5x-36)/x+3 = 4.75 --> Knowing (a+b) = 4.75, just put 4.75 as the equal, and add the fractions that equal (a) and (b).

Now Solve:

36/x + (5x-36)/x+3 = 4.75

0.25s^2 + 108 + 5s^2 - 36s = 4.75s*(s+3)

0.25s^2 - 14.25s + 108 = 0

(14.25 +- Square root (203.06 - 108))/0.5

(14.25 +- Square root (95.0625))/0.5

(14.25 +- 9.75)/0.5

Answer:

s = 9, s=48.

Therefore the original speed of the grey wolf can be 9 and/or 48 km/hour.

Plz help me we are almost done

Answers

Answer:

1) D

2) B

Step-by-step explanation:

Hope this Helps!

:)

Which statements are correct? Check all that apply. 5 students study both French and Spanish. 63 students study French. 2 students study neither French nor Spanish. 30 students study French, but not Spanish. 63 students study Spanish.

Answers

Answer:

The correct answers are:

• Option 1,

• Option 3 and

• Option 4

Step-by-step explanation:

From the two-way table, it is true that;

1.) 5 students study both French and Spanish.

2.) 30 students study French but not Spanish.

3.) 2 students study neither French nor Spanish

4.) 35 students study French

5.) 68 students study Spanish

6.) 63 students study Spanish but not French

This makes the correct answers options 1, 3 and 4

P.S: I believe your question is from the attached image

Answer:

A. 5 students study both French and Spanish.

C. 2 students study neither French nor Spanish.

D. 30 students study French, but not Spanish.

:)

What kind of equation is shown below?
x2 + 6x - 13 = 0

Answers

Answer:

quadratic equation

Step-by-step explanation:

Answer:

the equation shown here is a quadratic equation

Please help me, it's due today. I'll give 86 points to someone who answers and writes the problem step by step.

A 14 -in. diameter pizza is cut into 6 equal sides. About how many square inches of pizza are on each slice? Round to the nearest square inch.

Answers

Answer:

here go the answer hope it help

Step-by-step explanation:

A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 40 feet, the height of the roof is 10 feet, and the height of the entire silo is 75 feet?

a. 393,746.3 ft
b. 343,480.8 ft
c. 326,725.6 ft
d. 376,991.1 ft

Answers

Answer:

The answer is b. 343,480.8ft

Step-by-step explanation:

I thought it was c at first because I forgot to add the volume of the cone.

The equation for the volume of a cylinder is V=π×r²×h

The solution would look like V=π40²×65=326725.8

The equation for the volume of a cone is V=1/3πr²×h

The solution would look like V=1/3π×40²×10=16755

Adding the two volumes would equal 326725.8±16755= 343480.8

An amusement park thrill ride swings its riders back and forth on a pendulum that spins. Suppose the swing arm of the ride is 62 feet in length, and the axis from which the arm swings is about 64 feet above the ground. What is the height of the riders above the ground at the peak of the arc? Round to the nearest foot if necessar
PLEASE HELP ​

Answers

Answer:

118ft

Step-by-step explanation:

dont ask how i got it i just got the answer from my teacher but they didnt show me the work. ur welcome

hi hottie, pls help me !
Mrs. St. Louis purchased an iPhone 12 Pro. The decreasing value of her phone, after t years, is modeled by the function V(t)=1,200(0.65)^t
Fill in the numbers from the options to correctly complete the statements interpreting this function.
The phone initially cost $______
The value of the phone is depreciating at a rate of _____ % each year.

Answers

Answer:

1200

0.65

The answers are in the function

Which of the following is a correct interpretation of the expression -4- (-7)?
Choose 1 answer:
The number that is
to the left of -7 on the number line
B
The number that is 4 to the right of -7 on the number line
The number that is 7 to the left of -4 on the number line
D
The number that is 7 to the right of -4 on the number line

Answers

Answer:

I think option (d) is right answer

Answer:

c

Step-by-step explanation:

How do I find the height of a cylinder from only knowing the volume and radius?

r=6 V=565.2 for the specifics of the question I have ​

Answers

Answer:

4.997

Step-by-step explanation:

HELP ASAP, due today.

Answers

Answer:

(A) B h(x)= -2x-5.5

(B) The y intercept is (0,-5.5)

(C) The rate of change is -2

(D) The x intercept is (-2.75,0)

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