Mathematics Middle School

$300 to $200 percent change
Can you show work too please? I am terrible at math.

Answers

Answer 1
you have 300 which changes to 200
if it was 300 to 150 that would be 50%
since 150/300=1/2
take 200/300=2/3 so about 66%
Answer 2

I absolutely love how this is a got-to website for kids who just need answers and work shown. like right now im in a math test and looking around.

Related Questions

Distance between the points

Answers

To understand the distance formula, you first need to understand the Pythagorean Theorem. For a refresher, the theorem states that the square of the legs of a right triangle is equal to the the square of its hypotenuse (the side opposite the right angle), or in symbols:

[tex]a^2+b^2=c^2[/tex], where a and b are the lengths of the legs, and c is the length of the hypotenuse. In the context of the x-y plane, the legs of the triangle correspond to separate x and y values on the plane, and the hypotenuse corresponds to a straight line between two points on that plane.

To find the distance between the points you've listed, (2√5,4) and (1,2√3), we'll first need to find the "legs" of the triangle. To find the length of the x leg, we'll just need the distance between the x values of the points, which we find to be 2√5-1. We do the same for the y component, which ends up being 4-2√3. Now that we have our legs, we're ready to find the hypotenuse - or the distance.

Going back to Pythagorus's equation, we have:

[tex](2 \sqrt{5}-1)^{2}+(4-2 \sqrt{3})^{2}=d^2 [/tex]

where d, the hypotenuse of the triangle, means "distance."

To solve for d, we take the square root of both sides:

[tex]d= \sqrt{(2 \sqrt{5}-1)^2+(4-2 \sqrt{3} )^2} [/tex]

And from there, all that's left to do is solve the right side of the equation, which just ends up being rote calculation.

Edit: I'll go through the steps of that calculation here. We'll start by expanding each of the squared terms inside the radical:

[tex](2 \sqrt{5}-1)^2=(2 \sqrt{5}-1)(2 \sqrt{5}-1)=(2 \sqrt{5}-1)2 \sqrt{5}-(2 \sqrt{5}-1)[/tex]
[tex]=(2 \sqrt{5})^2-2 \sqrt{5}-2 \sqrt{5}+1=20-4\sqrt{5}+1[/tex]

[tex](4-2\sqrt{3})^2=(4-2\sqrt{3})(4-2\sqrt{3})=(4-2\sqrt{3})4-(4-2\sqrt{3})2\sqrt{3}[/tex]
[tex]=16-8\sqrt{3}-8\sqrt{3}+(2\sqrt{3})^2=16-16\sqrt{3}+12[/tex]

Putting those values back under the radical:

[tex] \sqrt{20-4\sqrt{5}+1+16-16\sqrt{3}+12} [/tex]

Collecting constants:

[tex] \sqrt{49-4\sqrt{5}-16\sqrt{3}} [/tex]

If you wanted an exact answer, this messy-looking thing would be it, and you can verify those results on WolframAlpha if you'd like. If you want an approximation, just enter that expression in to the online calculator of your choice, and it should give out the value of approx. 3.51325.

In general, if you want to solve for the distance between two points [tex](y_{1},x_{1}) [/tex] and [tex] (y_{2},x_{2}) [/tex], the formula is:

[tex]d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} [/tex]

Maria has 5 6/7 square yards of fabric. She uses 2 2/3 square yards fo fabric to make a dress. Does she have enough fabric left over to make a shawl that takes 2 1/4 square yards of fabric?

Answers

yea she has enough to get the third
5 6/7 - 2 2/3 =

5 - 2 = 3
6/7 - 2/3 = 18/21 - 14/21 = 4/21
3 + 4/21 = 3 4/21
so she has 3 4/21 yds left over....so yes, she has enough to make the shawl that takes 2 1/4 yds

A telecommunication company has 7 satellites, two of which are sending a week signal. If two are picked at random without replacement, find the probability that both are sending a week signal

Answers

2/7 is the probability that the first satellite sends a weak signal. That leaves 6, one of which sends a weak signal. So the probability that the second also sends a weak signal is 1/6. Combine these and we get 2/7×1/6=1/21.

Hence, the probability that both are sending a weak signal is [tex]\frac{1}{21}.[/tex]

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex], where, roughly speaking, [tex]0[/tex] indicates the impossibility of the event and [tex]1[/tex] indicates certainty.

Since,  [tex]\frac{2}{7}[/tex]  is the probability that the first satellite sends a weak signal.

And leaves six, and one is sending a weak signal.

So, the probability that the second also sends a weak signal it has the probability [tex]\frac{1}{6}[/tex].

By Combining these and we get

[tex]\frac{2}{7}[/tex]×[tex]\frac{1}{6}[/tex] = [tex]\frac{1}{21}[/tex] .

Hence, the probability that both are sending a weak signal is [tex]\frac{1}{21}.[/tex]

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A car detailing company charges $30 plus $18 per hour. Another company charges $25 plus $20 per hour. How long is a job that costs the same no matter which company is used? (There should be a variable on both sides of the equal sign/equation)

Answers

The startup equation for this would be 30 + 18h = 25 + 20h. Subtract 20h from both sides to get 30 - 2h = 25. Now, you should subtract 30 from both sides. When you do, you get -2h = -5. Divide each side by -2 to isolate the h. h = 2.5. A job that costs the same no matter which company is used is 2.5 (2 1/2) hours long.

I need help ASAP i'm doing math and we are do Addition with mixed numbers

A freight train is loaded with 12 1/2 tons of corn, 11 1/3 tons of oats, and 6 1/4 tons of wheat.how many tons of grain is it carrying? Note: Corn, oats, and wheat are considered grain


A) 29 1/12
B) 30 1/12
C) 29 11/12
D) 30 1/6

Answers

The answer is 30 1/2 because you have to multiply each denominator which you should get 12.
150/12
75/12
136/12
Than you can easily add them together to get 361/12 which you would need to simplify to get the correct answer
I believe the awnser would be B) 30 and a half

Factor the polynomial: 8t^2 + 8t - 72

Answers

Final answer:

To factor the polynomial [tex]8t^2 + 8t - 72,[/tex]  we first extract the common factor of 8, then factor the trinomial [tex]t^2 + t - 9[/tex] using the technique of finding two numbers that multiply to -72 and add up to 1, which are 9 and -8. Finally, we group and factor by grouping to get the factored form, 8(t - 8)(t + 9).

Explanation:

To factor the polynomial  [tex]8t^2 + 8t - 72,[/tex], we will first look for the common factors and then apply factoring techniques. First, we can take out the common factor of 8:

8[tex](t^2 + t - 9)[/tex]

Next, we factor the trinomial inside the parentheses. We need two numbers that multiply to 8 * -9 = -72 and add up to 1. These numbers are 9 and -8. So, we can split the middle term based on these numbers:

[tex]t^2 - 8t + 9t - 9[/tex]

We group the terms to factor by grouping:

[tex](t^2 - 8t) + (9t - 9)[/tex]t(t - 8) + 9(t - 1)

Now we factor out the common binomial factor:

(t - 8)(t + 9)

Therefore, the factored form of  [tex]8t^2 + 8t - 72,[/tex] is 8(t - 8)(t + 9).

The population of a town decreased from 15,925 people to 8759 people. What was the approximate percent decrease?

Answers

fourty four. nine percent so fourty five
65%

% change = 15925 / (15925 + 8759) 

Simplify: % change = 15925 / 24684 = 0.645 = 64.5% which is 65% rounded. 

Ahmad drove 638 miles in 11 hours. At the same rate, how long would it take him to drive 522 miles?

Answers

It would take him 9 hours to drive 522 miles since if you divide 638 with 11 you would get 58 and if you divide 522 with 58 you'll get 9. 

Answer:

9

Step-by-step explanation:

Which number has a 5 whose value is 10 times the value as the 5 in 24092.52


A.3,498.05
B.65
C.4835.19
D.859.24

Answers

C. 4835.19

24092.52's 5 is in the tenths, which means the 5 has to be in the one's place inside your answer

hope this helps
The answer is C. There ya go

Balloons or bust sells balloons in 18 different colors. Each color comes in 3 sizes. They will inflate the balloon and tie on a gold, green, red,blue, pink or purple ribbon. How many different choices are there?

Answers

There are 270 different combonations
18x5x3=270

on Saturday 2832 tourists visited the zoo on Friday 1475 tourists visited the zoo estimate the number of tourists who visited the zoo on the two days by first rounding the numbers to the nearest thousand

Answers

Rounded to the nearest thousand would be 4000

An international company has 13,600 employees in one country. If this represents 19.3% of the company's employees, how many employees does it have in total?

Answers

Hi there! To solve this question, we can write and solve a proportion. Let’s set it up like this: 13,600/x = 19.3/100. We do this, because we’re looking for the total amount of people, which would be the whole. We already have the part. Cross multiply the values in order to get 1,360,000 = 19.3x. Now, divide each side by 19.3 to isolate the variable. When you do, you get x is approx. 70,466.3212 or 70,466 when rounded to the nearest whole number. Plus, you can’t have a fraction of a person, anyway. The company has a total of 70,466 employees.

If 3 onions weigh 0.75 lb,how much do 10 onions weigh

Answers

Use a proportion:

.75 / 3 = x /10

Solve for x

So if you do, 0.75 × 9 =6.75
Then, 0.75 ÷ 3 =0.25
Lastly, 6.75 + 0.25 = 7
Your final answer is 7.

An art teacher has 192 containers of paint for 17 students. If the teacher wants to provide each student with an equal amount of containers, how many containers will be left over?

Answers

5 Left Each Student Gets 11
192 ÷ 7 = 27 r 3

there will be 3 containers left.

i had no paper so i had to write it on the table. XD haha

Shelby is organizing the 12 prize ribbons she won for athletic competitions. She has twice as many first place ribbons as she does second place ribbons. How many first place ribbons does she have?

Answers

I think she has for because 2x+x=12
3x=12
X=4
I would use the box method to solve this problem. Since she has twice as many, you add the 2 to the 1 to get three. Then you divide the total amount (12) by 3. So, 4 goes in each of the 3 boxes. This tells you that there are 8 first place ribbons and 4 second place ribbons. Hope this helps.

What are the missing angles?

Answers

y=30
2y=60

i believe this is the correct answer
y +90+2y=180
3y=90
y=30
2y=60

a utility bill shows that a household use 2001 gallons of water in a 5-day period. what was the average amount of water used by the households each day

Answers

400.2 is the average amount of water used each day

Tanya spent $8.15 on 5 cans of tuna. She used a coupon that gave her 35¢ off each can. What was the price of a can of tuna without the coupon? Enter your answer in the box.

Answers

Each can of tuna would cost $1.98 because you would do .35x5 then your total plus 8.15 and that would be the total without coupons then you would divide your grand total by 5 for the exact price of one can without the coupon 

Answer: $1.98


Step-by-step explanation:

Given: The total amount Tanya spent on cans of tuna = $8.15

Also, she used a coupon that gave her 35 cents off each can.

Therefore, The total discount on 5 cans =[tex]5\times35=175\ cents[/tex]

Since, $1=100 cents or 1 cent= 0.01 dollar

Therefore, the total discount on 5 cans=[tex]0.01\times175=\$1.75[/tex]

Now, the price of 5 cans of tuna without the coupon=[tex]\$8.15+1.75=\$9.90[/tex]

The price of a can of tuna without the coupon=[tex]\frac{9.90}{5}=\$1.98[/tex]

Which symbol correctly compares the two fractions use <, > or = 2/4 and 3/8

Answers

2/4>3/8_________________________________________
2/4>3/8———————-____________________________

The sum of two consecutive numbers is 95. What are the two numbers?

Answers

[tex]\huge{\boxed{47}}\ \ \huge{\boxed{48}}[/tex]

First, represent the situation with numbers and variables. The first number will be [tex]x[/tex] and the second number will be [tex]x+1[/tex]. [tex]x+x+1=95[/tex]

Combine like terms. [tex]2x+1=95[/tex]

Subtract 1 on both sides. [tex]2x=94[/tex]

Divide both sides by 2. [tex]x=\boxed{47}[/tex]

Find the second number. [tex]x+1\ =\ 47+1\ =\ \boxed{48}[/tex]

What is the relationship between the values of the two 4s in 3.441

Answers

The first 4 (.4) is 10x bigger than the second 4 (.04)

Answer:

The given number is 3.441

The first 4 is in the tenth place that is written like [tex]\frac{4}{10}[/tex] or 0.4

The second 4 is in the hundredth place that is written like [tex]\frac{4}{100}[/tex] or 0.04

We can see that the second 4 is one tenth times the first 4. This is shown like = [tex]\frac{1}{10} \times\frac{1}{10}[/tex] = [tex]\frac{1}{100}[/tex]

Or we can say the opposite that the first 4 is ten times the second 4.

A stamp collector bought 160 stamps for $25.00. The purchase included 5¢ stamps, 15¢ stamps, and 25¢ stamps. The number of 15¢ stamps is three times the number of 5¢ stamps. How many of each type of stamp was purchased?

Answers

5- 30
15- 90
52- 40
Questions?
Final answer:

The stamp collector purchased 40 5¢ stamps, 120 15¢ stamps, and 0 25¢ stamps.

Explanation:

To solve this problem, let's assign variables to the number of each type of stamp purchased. Let x be the number of 5¢ stamps, y be the number of 15¢ stamps, and z be the number of 25¢ stamps. We are given that the number of 15¢ stamps is three times the number of 5¢ stamps, so we can write this as y = 3x. We also know that the total number of stamps is 160, so we have the equation x + y + z = 160.

Using these equations, we can set up a system of equations:

y = 3x

x + y + z = 160

We can substitute the first equation into the second equation to eliminate y:

x + 3x + z = 160

Combining like terms, we get 4x + z = 160. We can rearrange the equation to solve for z:

z = 160 - 4x

Now we can substitute this expression for z back into the second equation:

x + 3x + 160 - 4x = 160

Simplifying, we get 4x = 0. Solving for x, we find x = 40. Plugging this value back into the equation y = 3x, we get y = 120. Finally, we can find z by substituting x and y into the equation z = 160 - 4x:

z = 160 - 4(40) = 160 - 160 = 0.

So, 40 5¢ stamps, 120 15¢ stamps, and 0 25¢ stamps were purchased.

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When a coordinate grid is superimposed on a map of harrisburg the highschool is located at (17,21) and the town park is located at (28,13) . If each unit represents 1 mile, how many miles apart are the highschool and the town park? round your answer to the nearest tenth

Answers

To find the distance between the high school at (17,21) and the town park at (28,13), use the distance formula which yields a result of approximately 13.6 miles apart, rounded to the nearest tenth.

When looking at the coordinates of the high school at (17,21) and the town park at (28,13) on a coordinate grid where each unit represents 1 mile, we need to use the distance formula to calculate the distance between the two points. The distance formula is derived from the Pythagorean theorem and is given by:

[tex]Distance = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Substituting the values -

[tex]Distance = \sqrt{{(28 - 17)^2 + (13 - 21)^2}[/tex]

Calculate the differences and square them:

Distance = [tex]\sqrt{{(11)^2 + (-8)^2}\\[/tex]

Distance = [tex]\sqrt{{121 + 64}[/tex]

Distance = [tex]\sqrt{{185[/tex]

Take the square root to find the distance:

Distance = 13.6 miles

Therefore, the high school and the town park are approximately 13.6 miles apart, rounded to the nearest tenth.

Solve the equation. If there is no solution, write no solution. 4|n| – 19 = 13
A. n = 8 or n = –8
B. n = 28 or n = –36
C. no solution

Answers

A works if you substitute 8 in for 'n', however it doesn't if you put in -8. The answer should still be 8, because the absolute value of a number cannot be negative.

Hope this helps :)

Find the measure of angel b

Answers

52+88+x=180
140+x=180
x=40

She spent 1/4 of her money on a shirt and 2/5 on shoes. What fraction of money has been spent

Answers

1/4 = 5/20
2/5 = 8/20

8/20 + 5/20 = 13/20 has been spent

Write 0.8 as a fraction.

Answers

Using the place value chart, we can see that the decimal 0.8 is eight-tenths, so we can write 0.8 as the fraction [tex]\frac{8}{10}.[/tex] We are able to simplify so we will divide the numerator and the denominator by 4.

Image is provided.

Therefore, the decimal 0.8 can be written as [tex]\frac{4}{5}[/tex].

Answer:

4/5

Step-by-step explanation:

0.8=8/10=4/5

Solve the inequality.Explain all steps and Identify the properties used. n/-3 + 5>4

Answers

n/-3>4-5 
then you can just times by -3 to get n on it's own
n>-3(4-5)
n>-3*-1
n>3
For this..
[tex]\frac{n}{-3}+5 \ \textgreater \ \mathrm{Apply\:the\:fraction\:rule}:\ \frac{a}{-b}=-\frac{a}{b} \ \textgreater \ -\frac{n}{3}+5 \ \textgreater \ \frac{n}{3}+5\ \textgreater \ 4[/tex]

[tex]\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides} \ \textgreater \ -\frac{n}{3}+5-5\ \textgreater \ 4-5 \ \textgreater \ \ \textgreater \ -\frac{n}{3}\ \textgreater \ -1[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \ 3\left(-\frac{n}{3}\right)\ \textgreater \ 3\left(-1\right) \ \textgreater \ \mathrm{Simplify} \ \textgreater \ -n\ \textgreater \ -3[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)} [/tex]
[tex]\left(-n\right)\left(-1\right)\ \textless \ \left(-3\right)\left(-1\right) \ \textgreater \ \ \textgreater \ \mathrm{Simplify} \ \textgreater \ n\ \textless \ 3[/tex]

Hope this helps!

What is the positive square root of 36? Enter your answer in the box.

Answers

the answer to this question is going to be negative 6


answer is 6

√36 = 6 because 6 x 6 = 36

Which expression results on a rational number?

Answers

where are the answers
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