On a balanced scale are a 25-g mass, a 100-g mass, and five identical blocks marked X as shown. What is the mass of each block marked X? Write an equation illustrated by this balanced scale. I really need help with this.

Answers

Answer 1

Answer:

One block - 15

Two blocks - 30

Three blocks - 45

Four blocks - 60

Five blocks - 75

Equation: 25 + 5x = 100

Step-by-step explanation:

This is a pretty simple problem. The scale is balanced and from what we know, the 100 and 25 are on different sides. If we want the scale to be balanced, then we have to solve the equation:

25 + 5x = 100.

(We have the 5x because we have 5 blocks that are marked as x)

subtract 25 from both sides

25-25 + 5x = 100-25

5x = 75

the following step is to divide both sides by 5.

5x/5 = 75/5

x = 15

Now that the equation is solved, we know that ONE blocked marked as X equals 15-g.

(All five of them equal 75-g)


Related Questions

1/2x-12-48=180 Process of how to find X?
please I need the help

Answers

Answer:

x is 480

Step-by-step explanation:

You do the math and you get 80 :)

i need help plz ............

Answers

Answer:

A. Each large envelope costs $1.42

Step-by-step explanation:

To solve this, we want to set up a system of equations.

The first customer paid $12 for 14 postcards & 5 large envelopes.

The total number of dollars paid is $12. This will be on one side of the equal sign.They bought 14 postcards. This will be represented by 14p.They bought 5 large envelopes. This will be represented by 5eThe equation will be: 14p + 5e = 12

The second customer paid $24.80 for 10 postcards & 15 large envelopes.

The total number of dollars paid is $24.80. This will be on one side of the equal sign.They bought 10 postcards. This will be represented by 10p.They bought 15 large envelopes. This will be represented by 15eThe equation will be: 10p + 15e = 24.80

Now let's set up our equations together.

14p + 5e = 12

10p + 15e = 24.80

We will solve this through elimination. First we want to eliminate one variable at a time. We will start with e because we can see that 5 and 15 will simplify easily.

Multiply the first equation by -3 to cancel out the variable e.

-3(14p + 5e = 12) = -42p - 15e = -36

Now set this up for elimination.

-42p - 15e = -36

10p + 15e = 24.80

______________

-32p = -11.2

Divide both sides by -32.

p = 0.35

Each postcard costs $0.35.

Now that we know the value of p, let's plug it into one of equations to find e.

14p + 5e = 12

14(0.35) + 5e = 12

4.9 + 5e = 12

5e = 7.1

e = 1.42

Each large envelope costs $1.42

Check your answer by plugging both values back into the equation you haven't used yet.

10p + 15e = 24.80

10(0.35) + 15(1.42) = 24.80

3.5 + 21.3 = 24.80

24.80 = 24.80

Your answer is correct.

Hope this helps!

A . which is self explanatory

Lin and Diego both ran for 10 seconds, each at their own constant speed. Lin ran 40 meters and Diego ran 55 meters.
Who was moving faster? Explain your reasoning.
How far did each person move in 1 second? If you get stuck, consider drawing double number line diagrams to represent the situations.
Use your data from the previous activity to find how far you could travel in 10 seconds at your quicker speed.
Han ran 100 meters in 20 seconds at a constant speed. Is this speed faster, slower, or the same as Lin’s? Diego’s? Student B’s?

Answers

diego was moving faster

lin ran 4 meters in 1 second
diego ran 5.5 meters in 1 second

han ran faster than lin and slower than diego

The speed is faster of Diego is 5.5m/sec

We have the following information available from the question is:

Lin and Diego both ran for 10 seconds, each at their own constant speed. Lin ran 40 meters

and, Diego ran 55 meters.

We have to find the Who was moving faster?

Now, According to the question:

We use the formula:

Speed = distance/time

We have :

Speed of Lin is = 40/10 = 4m/sec

Speed of Diego = 55/10 = 5.5 m/sec

So, The speed is faster of Diego.

Learn more about Speed at:

https://brainly.com/question/6280317

#SPJ4

Solve the problem in the example. Show your work.

Answers

You would have to divide 195 by both 15 and 12 to get both hours mowing and hours babysitting.

195 / 15 = 13

195 / 12 = 16 1/4

now if you put the answers in place of b and m you would get (15*13) + (12*16.25) = 195

Answer: 195

Conclusion: Sophia gets over payed

Step-by-step explanation:

One hour of babysitting costs $15          One hour of mowing costs $12

Let the of hours babysitting be x,            Let the hours of mowing be y,

                                                                   $195÷2=$97.5

$195-$49.5 = $145.5                                 $97.5 - 12 X 4 =$49.5

∴ Total money Sophia got for                     ∴ Total money Sophia got

    baby sitting is $145.5.                                         mowing is $49.5.

Now,                                                            Now,      

15 X x = $145.5                                           $12 X y = $49.5

       x = [tex]\frac{145.5}{15}[/tex]                                                          y = [tex]\frac{49.5}{12}[/tex]

       x = 9.7                                                            y = 4.125

∴ Sophie babysitted for                        ∴ Sophia mowed for 4.125 hours.

     9.7 hours.

Note:

You can check if your answer is correct like this:

Multiply 9.7 by $15 ( you will get $145.5 as the answer)

Then, multiply 4.125  by $12 (you will get $49.5 as the answer)

Lastly, add the answers together.($145.5 + $49.5 which will give the answer

                                                                                                            as $195)

And boom you got the same answer as written in the question.

It's just a small trick to check if your answer is correct.

I hope this will help you!!!

1. Find the mean median and mode of the data set.

4, 10, 3, 1

2. Alisha babysat her next door neighbor's children on Thursday nights. The amount of money she made for four weeks is listed below.

$25, $25, $22, $30

Alisha babysat another week and made $15. How were the mean and median affected?
A. The mean and median both decreased.

B. The mean and median both increased.

C. The mean decreased and the median stayed the same.

D. The mean and median both remained the same.

Answers

I think it C because the mean and median were originally 25 as median and 10.2 as mean and when the $15 were added the median was still 25 but the 10.2 was changed to a 11.7

1. mean) 4+10+3+1=18 18÷4=4.5 median) 1x,3,4,10x 3+4=7 7+1=8 8÷2=4 mode) there is no mode in the list as no values are repeated

2. mean before) 25+25+22+30=102 102÷4=25.5 mean after) 25+25+22+30+15=117 117÷4=29.25 median before) 22x,25,25,30x 25+25=50 50÷2=25 median after) 15x,22x,25,25x,30x

none of them. the mean increased and the median stayed the same.

I have underlined all my answers so it is easier for you to find them.

A set of numbers is shown below:

{0, 0.6, 2, 4, 6}

Which of the following shows all the numbers from the set that makes the inequality 2x + 3 ≥ 7 true?

{4, 6}
{0, 0.6, 2}
{0, 0.6}
{2, 4, 6}

Answers

Answer:

Step-by-step explanation:

{2, 4, 6}

Answer:

{2,4,6}

Step-by-step explanation:

Its the only answer that makes sense to me

please help!
look at the photo (again lol)

Answers

Answer:

32

Step-by-step explanation:

Because if you put the lack of other side to the other side, it will complete.

One roll = 4

eight rolls = 4 × 8 = 32

The answer will be 32 first you count in all the whole squares

PPLLLLLZZZZZ HELP :( PT 2 ILL GIVE U BRAINLIST TO THE FIRST RIGHT ANSWER AND A THANK YOU PLUS U GET POINTS :)

Answers

Answer:

mean: 10.3

median: 10

mode: 12

Step-by-step explanation:

Helpppppp me please

Answers

Answer:Sure thing? But first what do you need help with and maybe just maybe I will help you with whatever you need help with?

Step-by-step explanation:

Write an integer to describe the situation AND explain the meaning of zero. RISING 7 DEGREES

Answers

The answer is +7 I assume

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: How much money it is, how long the gym membership lasts for, how big is the gym, and does it have what he wants, the location, and he can get a guest membership to test what the gym is like.

Hope this helps

Jessica deposits her summer babysitting earnings, $600, in a savings account. How many years will it take her to earn $150 in interest at a simple annual rate of 5%? Enter the correct number in the formula.

Answers

I = PRT

I = Interest earned, P = principal/amount invested, R = rate in decimal form, T = time in years

Plug in what we know:
150 = (600)(0.05)(T)
150 = 30T
5 = T

5 years

Answer:

5 years

Step-by-step explanation:

Is this a function?
{(-1,3); (-2,-3); (2,0); (0,2)}

Answers

Yes, because the x’s aren’t repeated

A $50 dallor shirt is on sale for $42. What percent does the costermer save

Answers

the customer is saving 16% on the shirt

What is the length of the base of a parallelogram if the Area is 125 sq. yds., and the height is 5 yds. ? Just put the answer. Hint: write the formula for area of a parallelogram and substitute what information you know. Use algebra to solve.

Answers

Answer:

25 yd = L

Step-by-step explanation:

The formula for the area of a parallelogram of length L and width W is

A = L * W.

Here we know that A = 125 yd^2, which (from the formula) equals (L)(5 yd).

     

                                                            125 yd^2

Solving for the length, L, we get L = --------------- = 25 yd = L

                                                                  5 yd

A rectangular prism made of inch cubes is shown.
Drag and drop the correct numbers into each box to make each sentence true.
The rectangular prism is made up of ? unit cubes. This volume can also be found by multiplying ? square units by ? units. please help :(

Answers

Answer:

you multpy 15 x 18 to get 270

Step-by-step explanation:

Hope this helps

Please please please help, I give brainliest to first answer(not random nonsense)

Answers

The answer is 16 :)

The inequalities h>42 and h<60 represent the height requirements for an amusement park ride, where h represents a person's height in inches.


Write a sentence or draw a sign or that describes these rules as clearly as possible.

Answers

Answer:

42<h<60

H is greater than 42 but less than 60, 42 is less that h and h is less than 60

(I don’t understand what the question is asking for so just correct me if I answered it incorrectly)

According to this inequality, the H must be at least 60 inches taller than 42 inches.

What is linear inequality?

According to the mathematical definition of inequality, neither side is equal. In mathematics, inequality occurs when a non-equal comparison between two expressions or numbers results from the relationship. In this expression, the equal sign "=" can be substituted for any of the inequality symbols greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠). Mathematically can take many forms, including polynomial inequality, rational inequality, and absolute value inequality.

Given h > 42 and h < 60,

where h is height in inches,

the equation for inequality is,

42 < h < 60

which says that the height of a person should be more than 42 inches and less than 60 inches.

Hence the equation is 42 < h < 60, height should more than 42 inches and less than 60 inches.

Learn more about linear inequality;

https://brainly.com/question/11897796

#SPJ2

Solve for n:

n/12 = 3/4


A. n = 12
B. n = 15
C. n = 18
D. n = 9

Answers

Answer:D. n = 9

Step-by-step explanation:

n/12 = 3/4 // - 3/4

n/12-3/4 = 0

1/12*n-3/4 = 0 // + 3/4

1/12*n = 3/4 // : 1/12

n = 3/4/1/12

n = 9

Lauren and Aidan left their offices at 6:15 p.m. and drove to meet at a restaurant the same distance away from their offices for dinner.
Lauren drove at a constant speed of 39 miles per hour.
Aidan drove at a constant speed of 42 miles per hour.
Aidan reached the restaurant at 6:35 p.m.
How far away was Lauren from the restaurant when Aidan reached? PLEASE EXPLAIN

Answers

Lauren arrived at 6:48pm. why? each mile is one (1) minute, if Aidan got at the restaurant at 6:35 at 42mph and lauren was at 39mph add 3 which would make that 42 and yea

Percentages just answer the sentance

Answers

Answer:

20

Step-by-step explanation:

70%×20

70÷100×20

70÷5

=14

Answer:

70% of 20 peaches is 14 peaches

20 is the answer

Billy bought a box of fruit that weighed 57⁄8 kilograms. If he bought a second box that weighed 63⁄8 kilograms, what is the combined weight of both boxes?

Answers

If 8 is the denominator, the answer should be 120/8 which should be 15 kilograms.
The answer would be 15 I hope this helps

[(54 + 2) + 3-6] divided by 2

Answers

Answer:

[(54 + 2) + 3-6] divided by 2=26.5

Step-by-step explanation:

Answer:

26.5

Step-by-step explanation:

[(54 + 2) + 3-6] / 2

(56 + 3 - 6) / 2

(59 - 6) / 2

53 / 2

= 26.5

Find the area of the parallelogram shown below and type your result in the empty box shown below.
​ Answer:
\mathrm{mm}^{2}mm
2

Answers

Answer:

They're equal

Step-by-step explanation:

For the rectangle the formula is b×h which is 5×3

For the triangle it's (b×h)/2 which is (6×5)/2

They are equal and uh yeah

find the volume of the prism L=7/4 W=3/2 H=1/2

Answers

the answer would be 21m^3

21m^3 would be your answer

Compute the unit rate. Choose all that are correct.

1 2 mile in each 1 4 hour is a rate of 1 8 miles per hour.
1 2 mile in each 1 8 hour is a rate of 4 miles per hour.
1 5 mile in each 1 10 hour is a rate of 2 miles per hour.
1 2 mile in each 1 6 hour is a rate of 1 over 12 miles per hour.

Answers

Answer:

a b c

Step-by-step explanation:

PLEASE HELP FAST 75 POINT.

evaluate: 71.5 times (-9.2)A. –657.8 B. –65.78 C. 65.78 D. 657.8.

Answers

Answer:

the answer is A.-657.8

Step-by-step explanation:

because a positive times a negative will always equal a negative.

Answer: b

Step-by-step explanation:

The project will cost $___.

Answers

Answer:

$2.03

Step-by-step explanation:

$0.98

+$1.05

The project will cost $2.03

Help with me please
50 points

Answers

90 in a right angle, 45, 180 not sure on that so it will most likely be wrong
90 in a right angle 180 in a supplementary 90 in complementary and I can’t help you on the last one

If the area of square F is 25 cm2, and the area of square G is 144 cm2, what is the area of square H?

Answers

Answer:

169

Step-by-step explanation:

i got it right and uh yeah hope this helps have a great day =)

Answer:

The answer is

169cm²

Step-by-step explanation:

I got the correct answer here

|     |     |     |

v   v    v    v

thank me later ;)

Other Questions
in the 1840's thousands of irish immigrants came to the united states seeking to escape Answer each question. Show your reasoning. a. 125% of e is 30. What is e? b. 35% of f is 14. What is f? Help?????? I dont know if this is right Swapna gathered data on the number of page views for each of her blog posts. For her 40 latest posts, she found a sample mean of 358 with a population standard deviation of 54.3. What is the approximate 95% confidence interval for her page views? A. 344 and 372B. 341 and 375C. 356 and 360D. 336 and 380 HELP IT"S DUE IN 30 MINS HELPPP ASAP ILL GIVE YOU 50 POINTS!!!You work at a retail home improvement store. A customer wants to know how much paint is in a single can. The cans have a height of 10 inches and a diameter of 0.5 ft. In cubic inches, about how much paint is in each can?1.967.8594.2282.61,130.4 In which cellular structure is plant waste stored? cytoplasm cell wall cell membrane central vacuole Which table of values corresponds to the graph below?654156.12gx-303-101 NEED THIS ANSWERED BY 3/4/21!In To Kill a Mockingbird, chapter 14, what does Harper Lee do to show the reader that Scout still looks up to and respects her brother, even after theyve fought? Please provide a thorough explanation with evidence from the book. TAssessmc Tools12. Mrs. Melissa is purchasing Supplies for her classroom. She spent $3.50 for 25 erasers. At this ratehow much does 1 eraser cost, in dollars and cents?Use the boxes below to plan your answer. Make sure that you record your final answer by typing inthe box provided on the online answer sheet.Positive values CANNOT have a (+) sign in Edugence.Negative values MUST have a (-) sign in Edugence.(2011.0+/- Which of the following is equivalent to ^5sqrt13^3 If Treasury bills are currently paying 5.2 percent and the inflation rate is 2.7 percent, what is the approximate real rate of interest? tto mesoortif a weight exerting a force of 800N isSupported on a base area of 0.2m square whatpressure does it excert on the ground? A slide on a playground rises at a 45 degree angle. The top of the slide is 20 feet above the ground. How far does a child travel down the slide? Round answer to the nearest hundredth place.A 36.64B 28.28C 40.00D 20.00 Which value makes the inequality r > 2.5 TRUE?0B2.42.5D2.7 How many molecules are there in 3.20 grams of NH4SO2?? explain if you can On Saturday afternoon, 12 pictures were taken with the Easter bunny. Each family received 3 pictures of their child. How many families visited the Easter bunny that afternoon? The United States was angry at Great Britain forgiving weapons to Native Americans to fightAmerican Settlers.True or False? Find the value of each variable.y =z = Which federal legislation prohibits credit card companies from raising rates on existing balances?A. The Credit Card Accountability Responsibility and Disclosure ActB. The Fair Credit Reporting ActC. The Fair Debt Collection Practices ActD.The Truth in Lending Act write a sentence witch a-ch word in it