To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning.

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]7.5d = 2.5d[/tex]

Analyzing Lin's

[tex]\frac{7.5d}{2.5d} = \frac{2.5d}{2.5d}[/tex]

[tex]3 = 1[/tex]

This isn't a solution because [tex]3 \neq 1[/tex]

Analyzing Elena's

[tex]7.5d - 2.5d= 2.5d-2.5d[/tex]

[tex]5d = 0[/tex]

Divide through by 5

[tex]d = 0[/tex]

Hence;

Going by the analysis above; only Elena's  move will lead to a solution


Related Questions

Eric’s kite spool had 100 yards of string. At first, he let out 50 feet of string.Then, the kite rose for another 16 yards. How much string was left on the spool?

Answers

Answer:66

Step-by-step explanation:Eric had 100 at first minus 50 then the kite rose 16 more which equals 66

The number of yards of string left on spool is 34 yards.

Given that, Eric’s kite spool had 100 yards of string.

What is subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

At first, he let out 50 feet of string. Then, the kite rose for another 16 yards.

Now, 50+16=66 yards

So, 100-66=34 yards

Hence, the number of yards of string left on spool is 34 yards.

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2x = 14
Help please I am stuck how do I check this?

Answers

Answer:

x=7

Step-by-step explanation:

The Answer is (X=7)

When you SWITCH the HYPOTHESIS and the CONCLUSION you create the _________ statement.

Answers

Answer:

CONVERSE

Step-by-step explanation:

When you switch hypothesis and conclusion you are creating what is called the CONVERSE statement.

Please help me ASAP!!!

Answers

Solution:

[tex] \huge \purple {\tt {{ (\frac{49}{64}) }^{ \frac{1}{2} } = \sqrt[2]{ \frac{49}{64} } = \frac{7}{8}}} [/tex]

Answer:

[tex] \huge \pink {\tt {\frac{7}{8}}} [/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \sf{ \frac{7}{8}}}}} [/tex]

Step-by-step explanation:

[tex] \star \tt{ \: \: ( \frac{49}{64} ) ^{ \frac{1}{2} } }[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7 \times 7}{8 \times 8} ) ^{ \frac{1}{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{ {( \frac{ {7}^{2} }{ {8}^{2} }) }^{2} }}[/tex]

[tex] \hookrightarrow{ \tt{ { (\frac{7}{8} )}^{2 \times \frac{1}{2} } }}[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7}{8} ) ^{ \cancel{2} \times \frac{1}{ \cancel{2} } } }}[/tex]

[tex] \hookrightarrow{ \tt{( \frac{7}{8} )}}[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

If there were 18 boys at a leadership camp, how many girls were at that leadership camp

Answers

Answer:

0

Step-by-step explanation:

x+x/7+1/11(x+x/7)=60

Answers

Answer:

5 yes or good i'm not good morning guys

Answer:x= 48.126

Step-by-step explanation:

Calvin's credit card computes finance charges using the daily balance method. His card has a billing cycle of 30 days and an APR of 14.75%. The following table details Calvin's transactions in the month of September. Date 9/1 Amount ($) Transaction 716.54 Beginning balance 84.94 Purchase 977 9/12 Purchase 15.69 200.00 9/20 Payment What will Calvin's starting balance be next month? a. $617.17 b. $624.74 c. $625.91 d. $623.52​

Answers

Answer:

c. 625.91

Step-by-step explanation:

took the quiz an got 100%

The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.

What is APR?

The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.

We have:

His card has a billing cycle of 30 days and an APR of 14.75%.

Here the list data is not mentioned, clearly. Transactions with the amount.

As we know, the APR is the annual percentage rate, which is 14.75%.

Monthly percentage rate = 14.75/12 = 1.22%

But we can calculate the new balance with the formula:

Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance

Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.

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Suppose the population of a certain city is 3339 thousand. It is expected to decrease to 2694 thousand in 50 years. Find the percent decrease.

Answers

Answer:

  -19.3%

Step-by-step explanation:

The percentage change in a value is computed from ...

  percent change = ((new value) -(old value))/(old value) × 100%

  = (2694 -3339)/3339 × 100% = -645/3339 × 100% ≈ -19.3%

The decrease in 50 years is about 19.3%.

express each of the following percentages as a fraction. 45%

Answers

Answer:

9/20

Step-by-step explanation:

45% can be written as

= 45/100

= 9/20

Hope it will help u..

45% = 9/20
45% can be expressed as 45/100
simplify to get 9/20

what is a number in which the digit 7 is worth 70

Answers

Answer:

Tens, 70, 7x10'1

Which two expressions are equivalent?
A. 5x - 5 and 5(x - 5)
B. 5(x - 5) and 5x - 25
C. 5x - 1 and 5(x - 5)
D. 5x(x - 1) and 5x - 5

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

What information can be used to compare linear relationships. Explain why

Answers

Step-by-step explanation:

y=mx+b m being the highest point x being the lowest

Answer:

Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.

Step-by-step explanation:

This is the sample response.

Find the prime factorization of the following number. 110

Answers

Answer:

{2, 5, 11}

Step-by-step explanation:

First, 110 = 2 * 55

Next, 55 = 5 * 11

Thus, the prime factors of 110 are {2, 5, 11}

Aubrey's car used 4 gallons to travel 100 miles. How many miles can the car go on one gallon of gas?

Answers

Answer: 25 miles

Step-by-step explanation:

Divide total miles by total gallons.

100 / 4= 25 miles per gallon

find the indicated unknown angle measure.​

Answers

Answer:

138 degrees

Step-by-step explanation:

Angle b and the 42 degree angle right next to it are supplementary angles. That means that 42+b=180

b=138

Can someone please help, ty!!

Answers

Your answer is 0 by the way

use the base ten system and mental math to find the products. of 40x50=

Answers

Answer:

2000

Step-by-step explanation:

(4x5) x 100

Answer:

2000

Step-by-step explanation:

40 x 50 can be easily done by multiplying 4 and 5 which is 20 and adding the remaining 0's which is 2000

Dr. Jane is studying the growing population of a species of jellyfish in a body of water. Each year, she records the population of jellyfish. The first year, she recorded a population of 15 jellyfish. Every following year, the population increased by four times the previous year’s population. At this rate, what will be the jellyfish population in the 9th year of her study?

Answers

Answer:

983040

Step-by-step explanation:

Second Year : 15x4=60

Third Year : 60x4=240

Fourth Year : 240x4=960

Fifth Year : 960x4=3840

Sixth Year : 3840x4=15360

Seventh Year : 15360x4 = 61440

Eighth Year: 61440x4=245760

Ninth Year : 245760x4= 983040

I’m I think it is uh

Please Answer Dis .​

Answers

Answer:

543.

Step-by-step explanation:

Add both numbers as if they were positive.

A golf ball is selected at random from a golf bag. If the golf bag contains 6 green ​balls, ​5 red balls, and 9 brown ​balls, find the probability of the following event. The golf ball is green or red . The probability that the golf ball is green or red is nothing. ​(Type an integer or a decimal rounded to three decimal places as​ needed.)

Answers

Using it's concept, it is found that the probability that the golf ball is green or red is of 0.55.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 6 + 5 + 9 = 20 balls, of which 11 are green or red, hence the probability is given by:

p = 11/20 = 0.55.

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please help , i don’t know how to do these

Answers

2) 94, 124, 154

3) 8, 12, 16

4) -428, -528, -628

5) - 98, -118, 138

6) 13, 18, 23

In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, x 2 5 Cost, y 8.50 15.25 22.00 31.00 8 12 What is the y-intercept of this function? 0 2.25 4.00 6.50 O 17.13​

Answers

Answer:

4.00

I just did the question

Answer:

The Answer is B. 4.00

Step-by-step explanation:

n-6m-8 for n help! please

Answers

Answer:

n=6m+8

Step-by-step explanation:

we hav to get n by itself

so start easy and add 8 to theother side

n-6m=8 then take 6m and add it the other side

n=6m+8 and there you go

Answer:

Step-by-step explanation:

n - 6m = 8

n = 8 + 6m

The greatest payout for a personal injury was recorded
at $163,882,660 in 1993. The car wreck actually
occurred in the year 1987. If the guilty part paid in the
year the wreck actually happened, what would have
been the equivalent payout in 1987?

Answers

Answer: $115,012,850.8

Step-by-step explanation:

given data:

cash out amount in 1993 = $163,882,660

no of years = 7

inflation adjustment carried out on the amount would yield $163,882,660. in 1993 is equal to $115,012,850.8 1987.

This is because the Annual inflation grew over this period at a pace 4.26%.

= 4.26/100 * $163,882,660

= 0.0426 * $163,882,660 * 7

= $48,869,809.21

$163882660 – $48,869,809.21

= $$115,012,850.8

Can somebody help me with this?​

Answers

Answer: x=2

Step-by-step explanation:

We can see that ∠RTU and ∠STR make up ∠STU. Therefore, we add them together and set it equal to 114°.

24x+34x-2=114                [combine like terms]

58x-2=114                         [add both sides by 2]

58x=116                            [divide both sides by 58]

x=2

Now, we know that x=2.

Simplify the expression. 9(3 + 2w)

Answers

Answer: 27 + 18w

9 x 3 + 9 x 2w

Find the h. c. f of 24, 30, 36​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \text{6}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \text{ \: H.C.F \: of \: 24, 30, 36}}[/tex]

[tex] \text{Step \: 1 : First \: of \: all \: find \: the \: prime \: factor \: of \: each \: number}[/tex]

[tex] \mapsto{ \sf{24 = \: 2 \: ∗ \: 2 \: ∗ \: 2 \: ∗ \: 3}}[/tex]

[tex] \mapsto{ \sf{30 = 2 \: ∗ \: 3 \: ∗ \: 5}}[/tex]

[tex] \mapsto{ \sf{36 = 2 \: ∗ \: 2 \: ∗ \: 3 \: ∗ \: 3}}[/tex]

[tex] \text{Step \: 2 : Take \: out \: the \: common \: prime \: factors \: of \: given \: number}[/tex]

[tex] \mapsto{ \sf{Common \: prime \: factors = 2 \: and \: 3 \: }}[/tex]

[tex] \text{Step \: 3 : \: Multiply \: those \: all \: common \: prime \: factors \: and \: the \: number \: which \: is \: obtained \: is \: h.c.f}[/tex]

[tex] \mapsto{ \sf{ \: H.C.F = Common \: prime \: factors}}[/tex]

[tex] \mapsto{ \sf{H.C.F = 2 \: ∗ \: 3}}[/tex]

[tex] \mapsto{ \boxed{\sf{H.C.F = 6}}}[/tex]

[tex] \text{∴ \: the \: H.C.F \: of \: 24 \: , \: 30 \: and \: 36 \: is \: 6. }[/tex]

[tex] \sf{Hope \: I \: helped !!}[/tex]

[tex] \sf{Best \: regards !!}[/tex]

~[tex] \text{ TheAnimeGirl}[/tex]

What number is 10 times greater than 300?

Answers

The answer above is correct 30,000

The inequality for the given statement is 10x>300.

We need to find what number is 10 times greater than 300.

What is inequality?

In Mathematics, equations are not always about being balanced on both sides with an 'equal to' symbol. Sometimes it can be about a 'not an equal to' relationship like something is greater than the other or less than. In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Let the unknown number be x.

Now, 10 times the number=10x

The number is 10 times greater than the 300.

That is, 10x>300

Therefore, the inequality for the given statement is 10x>300.

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12+8x10.00000000000000000

Answers

Answer:

92

Step-by-step explanation:

10.00000000000000000 is the same as just 10

so through bodmas/bidmas you know thta the multiplication ha sto be done first so 8 x 10 =80

no add the first value.

12+80=92

Hannah had $237 in her
bank account at the start of
the summer. She worked for four
weeks and now she has $1685
in her bank.how much did Hannah make each week in her summer job

Answers

Answer:

$362

Step-by-step explanation:

Step 1:

$1685 - $237

Step 2:

$1448 ÷ 4

Answer:

362

Hope This Helps :)

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