Mathematics Middle School

Among the expressions, two of them have the same result. Which are they?

a. -25+18+9+(-15)–(-13)
b. (-40)÷(-2)×15-100
c. (-7)×(-5)–(-37)–72

People help me, my account is going wrong!

Answers

Answer 1
I just plugged all three of these equations into a calculator and A and C both equal 0. 

Hope this helped.

Related Questions

how to graph (-3,4) ;m=6

Answers

[tex]m=6=\dfrac{6}{1}[/tex]

We have the point (-3; -4) in the coordinate system.

From this point we go 1 unit to the right and 6 units to the up.

We get the second point.

Draw a straight line.

Look at the picture.

A hose fills a hot tub at a rate of 3.45 gallons per minute. How many hours will it take to fill a 280 ​-gallon hot​ tub?

Answers

For this case we must use the following definition:
 Q = V / t
 Where,
 Q: flow
 V: volume
 t: time
 Clearing the time we have:
 t = V / Q
 Substituting the values:
 t = (280) / (3.45)
 t = 81.16 minutes
 In hours we have:
 t = (81.16) * (1/60)
 t = 1.35 hours
 Answer:
 it will take to fill to 280 -gallon hot tub about:
 t = 1.35 hours

It will take approximately 1.35 hours to fill the 280-gallon hot tub.

We have,

A hose fills a hot tub at a rate of 3.45 gallons per minute.

This can be written as an expression:

3.45 gallons = 1 minute

Now,

Multiply 280/3.45 on both sides.

280/3.45 x 3.45 gallons = 280/3.45 minutes

280 gallons = 81.16 minutes

Now,

81.16 minutes can be converted into hours.

Divide 81.16 by 60.

So,

81.16/60 = 1.35 hours

Therefore,

It will take approximately 1.35 hours to fill the 280-gallon hot tub.

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2. Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months. Put the numbers in order from least to greatest. Show your work! City A: {4, 3.5, 5, 5.5, 4, 2} City B: {5, 6, 3.5, 5.5, 4, 6} (a) What is the mean monthly rainfall amount for each city? (b) What is the mean absolute deviation (MAD) for each city? Round to the nearest tenth. (c) What is the median for each city? Answer: a) Mean of City A: 24 Mean of City B: 30 b) Find the MAD for each city. City A Absolute Deviation MAD for City A City B Absolute Deviation MAD for City B 4 5 3.5 6 5 3.5 5.5 5.5 4 4 2 6 c) Median of City A: 4 Median of City B: 5.25

Answers

City A: {2, 3.5, 4, 4, 5, 5.5}
City B: {3.5, 4, 5, 5.5, 6, 6}

Mean is the average.
Average of City A = 4 (2+3.5+4+4+5+5.5 = 24 and 24/6 = 4)
Average of City B = 5 (3.5+4+5+5.5+6+6 = 30 and 30/6 = 5)

Mean Absolute Deviation
Mean Absolute Deviation of City A = 0.8
Mean Absolute Deviation of City B = 0.8

Median is the middle (after putting it in order least to greatest)
Median of City A = 4
Median of City B = 5.25 (5+5.5 = 10.5 and 10.5/2 =5.25)

NEED HELP ASAP!!! Susan makes $5 per hour babysitting and $7 per hour as a life guard. Her goal is to make at least $140. which of the following represents three possible solutions to the problem?

Answers

Number of hours Babysitting: x
Number of horus Lifeguard: y

Susan makes $5 per hour babysitting
Money she makes Babysitting: 5x

Susan makes $7 per hour as a life guard
Money she makes as a life guard: 7y

Total money she mahes: 5x+7y

Her goal is to make at least $140:
5x+7y>=140

Answer: First option
5x+7y>=140

Please help me!!!!!

Question: Kara and Steven are biking around a 1,800 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?

Answers

Answer: 120 hours

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

Explanation:

The path is 1800 km. Kara's speed is 15 km/h. If this speed is held the same throughout the path, then it will take her d/r = 1800/15 = 120 hours to travel the entire path until she gets back to her starting point.

For Steven, it takes him d/r = 1800/30 = 60 hours to make the same journey.

The LCM of 60 and 120 is 120

Every 120 hours, both Kara and Steven will be back at the starting point together. 

Note: this is a very very large time value, and this is not considering the fact that the bikers slow down or stop to take a break. 

What fraction is equivalent to the repeating decimal 0.18

Answers

18/99 can be reduced, it becomes 2/11 

Therefore the answer is 2/11!!

Hope this helps!!! :)

P.S. You can check it if you wish by dividing 2 by 11! 
Let's begin by setting x equal to our repeating fraction

x=0.18181818...

The next step is a bit of a trick where we multiply by a power of 10 such that what remains to the right of the decimal is the repeating fraction itself, i.e.

100x=18.1818181818...=18+0.18181818...

which can be re-written

100x=18+x

taking x to the left-hand side we get

99x=18

and finally

x=18/99=2/11

Hope this helps!


What must you do if you multiply one number in a ratio by n?

Answers

Hi there!

From what I know, when you multiply one number in a ratio, you must also multiply the other number by the same number. This allows for the ratio to stay the same, thus keeping it correct. If both terms were not multiplied by n, the ratio would no longer be the correct ratio.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Hideki throws a baseball ball upward with an initial velocity of 12 meters/sec. When he throws the ball, it is two meters above the ground. How long will it take the ball to hit the ground?

Answers

For this case we have the following kinematic equation that models the problem:
 h (t) = (1/2) * (- 9.8) * t ^ 2 + 12 * t + 2
 Rewriting we have:
 h (t) = -4.9 * t ^ 2 + 12 * t + 2
 When the ball hits the ground we have:
 -4.9 * t ^ 2 + 12 * t + 2 = 0
 Solving the polynomial we have:
 t1 = -0.16
 t2 = 2.61
 We ignore the negative root because it is time.
 Answer:
 It will take the ball to hit the ground about:
 t = 2.61 sec

Answer:

-4.9^2 + 12t + 2 = 0

Step-by-step explanation:

A rectangular bathtub is 5 1/2 feet long, 1 1/2feet wide, and 3 feet high. Daniel fills the tub to a depth of 2feet.What is the volume of the water in the tub?

Answers

To find the volume of the water that is in the tub, you will multiply the length by the wet by the height/depth of the water.

V = lwh
5 1/2 x 1 1/2 x 2
V = 16 1/2 ft.³

The vanishing point of the picture is represented by point B.

A) The measure of angle ABD is is 6.2 times greater than the measure of angle CBD. Find the measure of angle CBD.

B) Angle FBE and angle EBD are congruent. Find the measure of angle FBE.

Answers

A) Angles ABD and CBD are supplementary, so you have ...
 ∠ABD + ∠CBD = 180°
 6.2(∠CBD) + ∠CBD = 180°
 7.2(∠CBD) = 180°
 ∠CBD = 180°/7.2
 ∠CBD = 25°

B) Angles EBD and CBD are complementary, so you have ...
 ∠FBE = ∠EBD = 90° - ∠CBD
 ∠FBE = 90° - 25°
 ∠FBE = 65°
Final answer:

To solve this, we use the fact that angles around a point add up to 360 degrees and angles on a straight line add up to 180 degrees. This allows us to find angle CBD to be 50 degrees and angle FBE to be 130 degrees.

Explanation:

The subject of this question is geometry, specifically it deals with the properties of angles around a point. In the first part of the question, we are told that angle ABD is 6.2 times greater than angle CBD and we are asked to find the measure of angle CBD. As the total angle around a point is 360 degrees, we can set up the equation ABD + CBD = 360. Given that ABD = 6.2 * CBD, we can replace ABD in our equation, resulting in 6.2* CBD + CBD = 360, solving this gives us CBD = 360/7.2 = 50 degrees.

In the second part of the question, we're told that angle FBE and angle EBD are congruent. This means they have the same measure. Since angle EBD is adjacent to angle CBD and they form a straight line together, their measures add to 180 degrees. Since we already found angle CBD to be 50 degrees, thus angle EBD (or FBE) is 180 - 50 = 130 degrees.

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In a '20% off' sale, a coat was £220. Work out the original price.

Answers

80% of p = 220 (We know this as the sale price is 20% off, so there is still 80%)

0.8p = 220

p = 220/0.8 (This is because we are making p the subject of the formula)

p = 275 (If you are not allowed to use a calculator for this, then: 220/0.8 is the same as 2200/8 because we are just simply multiplying both the numerator and denominator by 10. This can be simply worked out by long division)
80% is equal to 220

1) Set up a proportion:
80/100=220/x

2) Simplify:
4/5=220/x

3) Solve by cross-multiplying:
4x=1100
x=275

Original Price: 275

Write an inequality involving the variable x that describes the set of numbers graphed.

Answers

Since it does not include 0 in the inequality, nor does it include any numbers below 0, it must be [tex]\boxed{x\ \textgreater \ 0}[/tex]. 

A saving account pays 3.6% per annum simple interest Heidi puts £400 into the account, how much will she have in the account after 5 years?

Answers

One year:
0.036(400)+400
Because it is 5 years:
5(0.036(400))+400
0.18(400)+400
We can make it simpler:
1.18(400)
Multiply
472
SHE WILL HAVE £472
Final answer:

Using the simple interest formula, Heidi will gain £72 in interest on her initial £400 deposit over 5 years at an interest rate of 3.6%. Therefore, she will have a total of £472 in her account at the end of 5 years.

Explanation:

The subject of this question is simple interest calculation which is a topic in Mathematics. It's all about calculating the final amount Heidi will have in her account after 5 years, with a simple interest rate of 3.6% on her initial deposit of £400.

Given the simple interest formula, Interest = Principal × Interest rate × Time, here, the principal is £400, the interest rate is 3.6% (which is 0.036 as a decimal), and time is 5 years.

Using the formula: Interest = £400 × 0.036 × 5 = £72

So, Heidi earns £72 in interest over 5 years.

To find out how much money she will have after 5 years, we will need to add the interest to the initial deposit: Amount = Principal + Interest which gives: Amount = £400 + £72 = £472

So after 5 years, Heidi will have £472 in her account.

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A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there?

Answers

8 pigs 4 ducks
8x4=32
2x2=4
32+4=36
there are 8 pigs and 2 ducks. 2 ducks equal 4 legs, and 8 pigs equal 32 legs. Then, you do simple math, so 32 plus 4 is 36 legs!

A small refrigerator is a cube with a side length of 14 inches. Use the formula S = 6s2 to find the surface area of the cube.

Answers

Formula = 6s²

Surface area = 6 (14)² = 1176 in²

Answer: 1176 in²

how many 1 cup servings can be poured from 1 gallon of milk?

Answers

There are 16 cups in a gallon. 
16 cups Can be poured from 1 gallon of milk

What is the measure of X

Answers

Answer:

we can know the answer by using phorem therom so

Step-by-step explanation:

all are 90 degree so x angle will also be 90 degree

now h^2 =p^2+b^2 so

Yo I just need to get this right so help me out

Answers

Answer:

1) yes--first term is -48, common ratio is -2

2) no--no common ratio

3) yes--first term is 3, common ratio is 3

4) yes--first term is 5, common ratio is 2

5) no--arithmetic sequence

6) no--arithmetic sequence

79+b=159
b=
send help pls... :)

Answers

Subtract 79 from both sides to isolate variable b. 

b = 159 - 79
b = 80
B=80 simple as that

Food express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on the receipt so far 147 of the first 156 customers have not received a star in the receipts what is experimental probability of winning a free gallon of milk

Answers

Formula
P(nw) = no wins / total
no wins = 147
Total = 156 

Calculation for no wins 
P(nw) = 147 / 156 = 0.9423

Calculation for winners.
P(w) = 1 - 0.9423
P(w) = 0.05769

Another way.
You could calculate the winners from the total
156 - 147 = 9

P(w) = 9/156 = 0.05769 Same answer as before. Pick the method you like best.

Solve for x
X3=1/27
Solve in fraction simplest form

Answers

x³ = 1/27
x=³√1*1*1/3*3*3
x= 1/3
Factor using difference of cubes and set each factor equal to 0.

[tex]x= [/tex] [tex] \frac{1}{3} [/tex], [tex]- \frac{1-i \sqrt{3} }{6} [/tex],  [tex]- \frac{ 1+i \sqrt{3} }{6} [/tex]

Hope i was of some help ^.^

Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. Which equation can Jeremy use to determine the amount of raisins in the trail mix?
a.r + 1.50 = 1.5r
b. r + (5 – r) = 5
c. 1.5r + 2.5(5 – r) = 10.50
d. 1.5r + 2.5(5 – r) = 5

Answers

Answer:

Option C.

Step-by-step explanation:

Let Jeremy mixes "r" pounds of raisins to make a trail mix.

As the total weight of trial is = 5 pounds

So weight of peanuts in the trail mix will be = (5 - r )

Now cost per pound of raisins = $1.50

so cost of r pounds of raisins = $1.50(r)

Cost of the peanuts = $2.50 per pound

so cost of (5 - r) pounds peanuts = $2.50(5 - r)

Jeremy spends total amount = $10.50

So expression will be

Cost of Raisins + cost of peanuts = cost of trail.

1.5r + 2.5(5 - r) = 10.50

Option C. is the answer.

English has 6 letters that can be vowels. This includes Y, which can be either a consonant or a vowel; for this problem, we'll consider Y a vowel. The other 20 English letters are always consonants. How many two-letter "words" can we make from these letters if we are required to use at least one vowel? (We aren't limited to words that have an actual meaning in English. Thus, for this problem, we'll include nonsense "words" like QO, XY, and UZ.)

Answers

I think this should be posted in English instead of Math... but you can make lots of words.

as
my
he
we
me
by
hi
so
go
to

These are just a few.

A research company produced a study to find out what percentage of people in the state of Mississippi would purchase a new product being developed. Out of the 24 participants polled, 12 stated that they would buy the new product. The research company concluded that about 50% of the residents of Mississippi would purchase the new product. Identify a problem with the study.

Answers

The sample size is too small. The company is trying to determine the percent of people in Mississippi that would purchase the product. To make a prediction for the entire state of Mississippi, they should survey more than just 24 people. A random survey should be created and given out across the state.

The conclusion is based on a small sample.

Which of the following graphs shows the solution of the inequality
x+1<5
?
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

[tex]x + 1 < 5 \\ x < 4[/tex]

Answer is C. Graph C

Hope this helps. - M

spining a spinner that has 5 equal section marked 1 through 5 and landing on an evean number

Answers

Judging on how the only even numbers between 1 and 5 are 2 and 4. You would use a calculator and do 2÷5 and it will come out as .40 meaning 40%! So there is a 40% chance of landing on a even number! Hope I helped!

what does it mean if the quotient times the divisor does not equal the dividend? What should you do?

Answers

say just for a example, that you have 400 divided by 20. The correct answer is 20. But say that you got ten. You would say how many times can 20 go into 40? The answer would be twice. Then, you would say, how many times can 20 go into zero. The correct answer would be 0. you should go back to your work and check and ask yourself those problems and see if they match. Hope this helps!

Final answer:

When the quotient times the divisor does not equal the dividend, it means there is a remainder. Depending on the context of the problem, you can round down, express the remainder as a fraction or decimal, or choose another appropriate method.

Explanation:

When the quotient times the divisor does not equal the dividend, it means that the division did not result in an exact whole number. This is called a remainder. For example, if you divide 15 by 4, the quotient is 3 and the remainder is 3. So, 3 times 4 does not equal 15.

If you encounter this situation, you can do a few things. You can round the quotient down to the nearest whole number, or you can express the remainder as a fraction or decimal. It depends on the context of the problem and what is required.

For example, if you are dividing cookies among friends, you may want to express the remainder as a fraction, saying each friend gets 3 and a half cookies. But if you are calculating the number of whole boxes needed, you may round down to 3 boxes.

The equation above can be used to calculate the volume V, of a pyramid with a height h and base with length l and width w. If the volume of a pyramid is 81inches^3, and l=w=3h, what is the length of the base of the pyramid in inches?

Answers

Volume of a pyramid is V= lwh/3
You know
V=81
l=3h
w=3h

h=3
l=9
w=9

So length is 9 inches
Comment
The formula for a pyramid = (1/3) L * W * h The base in this case is square.

Givens
L = W
W =W
L = 3H 
H = L/3 = (1/3L)
V = 81 in^3

Solve
V = 1/3 L * W * H
V = 1/3 L * L * 1/3 L
81 = 1/9 L^3   Multiply through by 9
81 * 9 = L^3
729 = L^3  Take the cube root of both sides.
cube root (L^3) = cube root (729)
L = 9 in

Plz show work and explain
Haley and Madison are arguing over a math problem. Haley insists that a square with a area of 196 square units is bigger than Madison’s square that has a perimeter of 196 units. Who is correct and why?

Answers

Perimeter of a square is:

4 * s

where s is the side length.

Area is:

s * s

So, we can set both of these values to 196.

4s = 196
s = 49

s * s = 196
s = 14

So, Madison is correct.

Hope this helped!

What is the true solution on 2 in e ^in 5x=2 in 15

Answers

2In (e^(In5x))= 2 ln15

In(e^x)=x

2(ln5x)=2ln15

In 5x=In 15

5x= 15 

x= 3

genius

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give the length and width in whole inches of three different rectangles that each have an area of 48 in. squared Zack borrowed $1,087 for 12 months at 11 percent interest. If he must pay 11.00 per $100, what is Zack's monthly payment? Calculate the area of the shaded sector in square inches. Your textbook suggests that the research into state-dependent learning has not consistently found the effect to be very powerful. reasons for this lack of consistent findings include the idea that we learn information in multiple settings, not just one. these different findings provide a problem for the critical thinking concept of ___________. The sociocentric model of emotional socialization argues that the primary means of learning about emotions comes from __________. Frank landed a summer house-sitting job in France! The owners have sent him the following letter and instructions.Which room is NOT mentioned in the instructions?la salle de bainsla chambrela cuisinele salonle garage Surgical destruction of the drink center causes an animal to Use the following information to answer the next two questions 1) T or F: a greater food surplus allowed for cities to grow in population2) T or F: Concentric zone theory states that an urban area may have many development centers that meet different needs 3) Which of the following is a reason why Sunbelt cities are increasing in population?a. the sunbelt cities industrialized before northern cities b. sunbelt cities offer fewer tax incentives to businesses c. there are more job opportunities in the sunbelt nowd. all of the above The origin of a new cichlid species in an african lake due to sexual selection is an example of ______. habitat selection. allopatric speciation. autopolyploidy. sympatric speciation. Polar bears feed on seals. So, polar bears and seals share a _________ . Climate change has caused ice caps to melt in colder regions where polar bears live. This change has caused them to hunt less. This situation will lead to _________. 1.) A. Prey Predator Relationship B. Mutual RelationshipC. Parasitic Relationship2.)A. Less Biomass in the Quaternary levelB. Increased Biomass in the Quaternary levelC. Less Biomass in the Primary level Octane is an important component of gasoline. Octane will ignite at a temperature of 428F. What is this temperature on the Celsius scale? At the level of cabinet appointees president obama worked with limited success to 1) With your pneumatic system, how do you think your results would have been affected if there had been a leak in the tubing?2) Given your observations for this investigation, would you rather ha a hydraulic braking system Or a pneumatic braking system in your car. Explain. If a president wants to appoint a particularly controversial nominee to office without senate confirmation, he or she may choose to use the __________ while congress is on a formal break. the goalie ate half of a pizza that had a diameter of 20 inches! what was the area of pizza that she ate? what was the length of crust she ate? A 62-year-old male is seen with crushing chest pain, which he describes as being the same kind of pain that he had with a previous heart attack. he has prescribed nitroglycerin but states that he has not taken any. after administering supplemental oxygen if needed and contacting medical control, you should: Suppose q and r are independent events, and P(Q)= 0.39, P(R)= 0.85. Find P(q and r) jane's salary is increased by 2% to 39474. how much is her salary before the rise? to what extent did the rise of the guilds impact urbanization?