Mathematics Middle School

you finished 3/8 of the project. Your friend finishes 1/4 of the project. What fraction of the project is finished?

Answers

Answer 1

your friend finished 2/8 of the project

Answer 2

1/4 is 2/8
2/8 + 3/8 =5/8
5/8 of the project is finished

Related Questions

find two consecutive integers whose sum is 45

Answers

22+23 are the two consecutive integers

The two consecutive integers are: 22, and 23 .
____________________________________________________
x + (x + 1) = 45 ;

in which:
"x" is the first integer (of the 2 consecutive integers) ;
"(x + 1)" is the second integer (of the 2 consecutive integers);
_______________________________________________________
We want to solve for "x";
which is the first integer (of the 2 consecutive integers);
then we can solve for the second integer (of the 2 consecutive integers);
as well;
_______________________________________________________
We have:
_______________________________________________________
x + (x + 1) = 45 ;

Rewrite as:

x + x + 1 = 45 ;

↔ 1x + 1x + 1 = 45 ;

→ 2x + 1 = 45 ;

Subtract "1" from each side of the equation;

2x + 1 −1 = 45 − 1 ;

to get:
2x = 44 ;

Divide EACH SIDE of the equation by "2" ; to isolate "x" on one side of the equation; and to solve for "x" ;
______________________________________________
2x / 2 = 44 / 2 ;

to get: x = 22 ;
______________________________________________
Our two consecutive integers:

x = 22 ;

(x + 1) = 22 + 1 = 23 .
______________________________________________
The two consecutive integers are: "22" and "23" .
______________________________________________
Let us check our answer:

Are "22" and "23" consecutive integers? Yes!

Do "22" and "23" add up to "45" ? ;

→ 22 + 23 = ? 45 ? ; Yes!
_________________________________________

Corys roses grow 1 inch each month. When he planted them they were 6 inches tall. What is the initial value for the scenario described?

Answers

Some equation that shows the inch growth every month after 6 inches.

slope is -2 and (1,1) is on the line

Answers

-2x+3. X intercept is +3. Moves two steps down and one step to the right to land on the point (1,1)

A student reads 65 pages per hour
Time/Pages= 3/195 5/322 9/585 10/650
Is this a porportional relationship?

Answers

195/3 = 65 pages per hour, but
322/5 = 64.4 pages per hour

No, this is not a proportional rel. If it were, the const. of prop. would be 65/pages per hour in every case.

Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 miles head start. Harper runs 0.5 mile per hour faster than Liam. If Harper and Liam run the same distance, how many hours, x, do they run.

Answers

Final answer:

The time 'x' that both Harper and Liam are running for is 0.25 hours. This is calculated by setting the total distance covered by both runners equal to each other and solving for 'x'.

Explanation:

The subject of your question is Mathematics, specifically dealing with concepts of race pacing and distance calculations. Here's an answer to your question:

Let's denote the time it takes for both Harper and Liam to finish the race as 'x' hours. Given that Liam runs at 4 miles per hour and has a 0.25-mile head start, the total distance he runs is 4x + 0.25 miles. Harper, on the other hand, runs at 4.5 miles per hour (0.5 mile per hour faster than Liam) for 'x' hours, so Harper runs a total of 4.5x miles.

Since both runners run the same total distance, we can set these two equations equal to each other and solve for 'x':

4x + 0.25 = 4.5x

Solving this equation gives x = 0.25 hours.

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there are 9 students that play tennis. if 75% of the students do not play tennis, how many are in the class

Answers

So 9 students = 25% (100%-75%=25%)
100 : 25 = 4
4 * 9 =
36 students

Susan can buy 312312 lb of strawberries for $7.00. How many pounds of strawberries can she buy for $1.00? Express you answer as a fraction in simplest form

Answers

The first step would be to create an equation for this problem.
[tex] \frac{312,312 lb}{7.00} [/tex]

Now, all you would have to do it solve it.
[tex] \frac{312,312 lb}{7.00} [/tex] = [tex] \frac{44616 lb}{1.00} [/tex]

You can buy 44616 lb of strawberries for one dollar.

I hope this helps!

Answer:

are you sure it is that large number and not 3 1/2

Step-by-step explanation:

Trina earns $28.50 tutoring for 3 hours. Write an equation relating her earnings m to the number of hours h she tutors. Assuming the situation is proportional, how much would Trina earn tutoring for 2 hours? for 4.5 hours?

Answers

first find the unit rate
28.50 divided by 3 = 9.50
Trina earns $9.50 for every hour she tutors

m = 9.5h

now just substitute 2 for h

m = 9.5(2)
m = $19

now substitute 4.5 for h

m = 9.5(4.5)
m = $42.75

Trina earns $19 for 2 hours and $42.75 for 4.5 hours

i hope this helps!!

Kate's golf score was 1 less than three fourths of Greg's golf score. If the sum of their scores was 153, find Kara's hold score.

Answers

k = (3/4)88 -1 = 65 is the equation, try to work it out!

Answer: Kate's score is 65.

Step-by-step explanation: Given that Kate's golf score was 1 less than three fourths of Greg's golf score and the sum of their scores was 153.

We are to find Kate's score.

Let x and y represents Greg's score and Kate's score respectively.

Then, according to the given information, we have

[tex]y=\dfrac{3}{4}x-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

and

[tex]x+y=153\\\\\Rightarrow x+\dfrac{3}{4}x-1=153\\\\\\\Rightarrow \dfrac{7}{4}x=154\\\\\Rightarrow \dfrac{x}{4}=22\\\\\Rightarrow x=22\times4\\\\\Rightarrow x=88.[/tex]

From equation (i), we get

[tex]y=\dfrac{3}{4}\times88-1=66-1=65.[/tex]

Thus, Kate's score is 65.

The viewership of a television show has decreased form 5.1 million viewers to 3.5 million viewers per episode. Find the percent of decrease in viewership to the nearest percent.

Answers

31 percent decrease hope i help

Final answer:

To calculate the percent decrease in viewership, subtract the final number of viewers from the original number, divide that by the original number, and multiply by 100, rounding to the nearest percent. The viewership decreased from 5.1 million to 3.5 million, a 31% decrease.

Explanation:

The subject of this question is Mathematics, specifically relating to percentages. To find the percent decrease in viewership from 5.1 million to 3.5 million:

Calculate the decrease in viewers: 5.1 million - 3.5 million = 1.6 million.

Find the percentage: (1.6 million / 5.1 million) × 100 = 31.37%.

Round to the nearest percent: 31.37% ≈ 31%.

Therefore, the viewership has decreased by approximately 31%.

At the first four stops, the number of students that board Mr. Tuttle’s school bus is 4, 6, 12 and 2 students, respectively, and no students exit the bus. After these four stops, the number of students on Mr. Tuttle’s school bus is 50% of its full capacity. How many students does Mr. Tuttle’s bus hold at full capacity?

Answers

48 students is the maximum capacity. :)

The library has 2,000 books for sale.The books are sorted into nonfiction, fiction, and children's books. The children's books number 500. Also, there are 200 more fiction books than nonfiction books. How many fiction books and nonfiction books are for sale in all? Please, Explain all the directions on how you got your answer.

Answers

If you take 2000 and subtract that by 500 for the childrens books that would equal 1500. So, the fiction and nonfiction books sum would have to be 1500. Since 850 plus 650 equals 1500, there would be 650 nonfiction books, 850 fiction books, and 500 children's books.

Hope This Helps!

A card is drawn from a standard deck and a letter is chosen from the word incredible. What is the probability of drawing a king then getting an i?

Answers

There is a 4/52 chance of getting a king, because there are 52 cards in a deck, and 4 kings in each. And there is a 2/10 (1/5) chance of getting an i, because there are 2 i's in the word "incredible", and 10 letters (so simplifying that, you would get 1/5).

Step-by-step explanation:

A card is drawn from a standard deck. A standard deck of cards has 52 cards. Its been asked if it is a king. There are 4 kings in a deck, so probability is = [tex]\frac{4}{52}[/tex] or [tex]\frac{1}{13}[/tex]

Simultaneously, a word is chosen from 'incredible' that has 10 letters. We have been asked if the letter is 'i'. In the given word, we have 2 'i's. So, probability is [tex]\frac{2}{10}[/tex] or [tex]\frac{1}{5}[/tex]

art supplies in washington DC cost 28 dollars if the sales tax is 6 percent what was the total cost of supplies

Answers

(28 : 100) *6 = 1.68 (tax)

28 + 1.68 = 29.68 (total cost)

What is the solution set? −2.8x+5.6<8.4 Enter your answer in the box.

Answers

Let's solve your inequality step-by-step.
−2.8x+5.6<8.4
Step 1: Subtract 5.6 from both sides.
−2.8x+5.6−5.6<8.4−5.6
−2.8x<2.8
Step 2: Divide both sides by -2.8.
−2.8x
−2.8
<
2.8
−2.8
x>−1

Answer:
x>−1

write the number that can be shown with this many hundreds,tens and ones 1hundreds 2 tens 18 ones?

Answers

138 can be shown from 1 hundred 2 tens and 18 ones.
Hope this helps!!

The number which can be written from 1 hundred, 2 tens and 18 ones is 138

1 hundred = 1(100) = 100

2 tens = 2(10) = 2 × 10 = 20

18 ones = 1 in 18 places = 18(1) = 18

The sum of the place value numbers can be obtained thus :

100 + 20 + 18 = 138

Therefore, the number which can be obtained from the place value digits given is 138

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-7.5 (x - 3) = 3.75
what is the value of x ?

Answers

-7.5 (x - 3) = 3.75
-7.5 x + 22.5 = 3.75
-7.5 x = - 18.75
x = 2.5

hope it helps

Answer: The required value of x is 2.5.

Step-by-step explanation: We are given to find the value of x in the following equation :

[tex]-7.5(x-3)=3.75~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the value of x, we need to solve the given equation (i).

The solution of equation (i) is as follows :

[tex]-7.5(x-3)=3.75\\\\\\\Rightarrow x-3=\dfrac{3.75}{-7.5}\\\\\\\Rightarrow x-3=-0.5\\\\\Rightarrow x=3-0.5\\\\\Rightarrow x=2.5.[/tex]

Thus, the required value of x is 2.5.

Two examples that have a gcf of 8

Answers

12 & 24
16 & 24
4 & 16
16 & 32

hope this helps.

An example would be 24 and 16. Their GCF would be 8.

PLZ TELL HOW U GOT THE ANSWER AND IT'S THE CIRCLED ONE PLLLLLZZZZZ

Answers

California: 22205.26
Kentucky: 19800.41
Ohio: 12102.75

Find x
Geometry homework. Please help!

Answers

the triangle is an isosceles triangle
where d apex angle =180-60 =120°
base angles are equal
so 120+ 2(5x+15)=180
120+10x+30=180
10x+150=180
10x=180-150=30
x=30/10=3
x=3

Jamar is finding (-2)(-3)(-4). Find his mistake and correct it. Explain your answer.

Answers

The correct answer would be (-24). When multiplying with negative integers, negative times negative is positive, however, the final answer, in this case, is negative because you are then multiplying a positive and a negative:
(-2)(-3)=6
6(-4)=(-24)
I'm guessing Jamar's mistake was he multiplied all of them thinking his answer would be a positive integer: 24.

what is the answer to. m=ax²+bx+c,for b

Answers

b= (m-ax^2-c)/x

To solve this, I subtracted ax^2 from both sides making the the equation look something like this: m-ax^2=bx+c. Then, I subtracted c from both sides to isolate bx. Finally, I divided out the x so that b is completely isolated, giving me the answer: (m-ax^2-c)/x - b

Helppppp please. I’m so bad at thus

Answers

So you need to solve for the x and y values...I personally would use a graph. The is this website called desmos, it can help you with this kind of problem. You can see that the green point which is (10, 44) is on the line.. Lets check our work...

y = 4x + 4
44 = 4(10) + 4
44 = 40 + 4
44 = 44
This is your answer. I hope this helps love! :)

a cab driver charges a 15 flat fee and 1.50 per mile. How many miles can you go with 30 dollars

Answers

Since it's 1.5 dollars per mile, you add 1.5 dollars for every mile and the amount of money total is 1.5m if m represents the amount of miles. In addition, since the flat tax is 15, you add 15 to it to get 1.5m+15. After that, since you only have 30 dollars, the amount of money is 30=15+1.5m. Subtracting 15 from both sides, we get 15=1.5m. Lastly, we divide both sides by 1.5 to get m=10

Kendra is choosing bouquets of flowers for table centerpieces. She decides to buy 40 bouquets for $120 because she thinks that price is a better value than 40 bouquets for $2.50 each. Explain Kendra’s error.

Answers

120/40=3
So each bouquet is $3 if she buys 40 bouquets for $120
Therefore 40 bouquets for $2.50 each is less expensive

Hope this helps!! :)

The Kendras error is that she doesn't know multiplication.

What is multiplication?

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Given that Kendra buy 40 bouquets for $120

So each bouquet cost 120/40 = $3 so each bouquet cost $3.

By the second option, she will get bouquets at $2.50 only it is an error of Kendra.

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What is a FREAKIN ratios

Answers

The quantitative relation between two amounts showing the number of times one value contains or it’s contained within the other.

pretty simple

compares two amounts like 4:5 is a ratio

The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold 1/3 of the short-sleeved shirts and 1/2of the long-sleeved shirts, for a total of 100 shirts.
This system of equations models the situation.
5x + 10y = 1,750
1/3x + 1/2y = 100
Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered.
How many short-sleeved shirts were ordered?

How many long-sleeved shirts were ordered?

Answers

150 short-sleeved shirts
100 long-sleeved shirts

Answer:

150 short-sleeved shirts and 100 long-sleeved shirts.

Step-by-step explanation:

We will use elimination to solve this system of equations. We will make the coefficients of x the same in order to eliminate them; to do this, we must multiply the bottom equation by 15 (1/3 of 15 is 5, so 15(1/3) = 5):

[tex]\left \{ {{5x+10y=1750} \atop {15(\frac{1}{3}x+\frac{1}{2}y=100)} \right. \\\\\left \{ {{5x+10y=1750} \atop {5x+7.5y=1500}} \right.[/tex]

Subtract the second equation from the first one:

[tex]\left \{ {{5x+10y=1750} \atop {-(5x+7.5y=1500)}} \right. \\\\2.5y=250[/tex]

Divide both sides by 2.5:

2.5y/2.5 = 250/2.5

y = 100

Substitute 100 in for y in the first equation:

5x+10(100) = 1750

5x+1000 = 1750

Subtract 1000 from both sides:

5x+1000 - 1000 = 1750 - 1000

5x = 750

Divide both sides by 5:

5x/5 = 750/5

x = 150

Use the formula F = 1.8C + 32 to convert -10C into Fahrenheit

Answers

Greetings!

To find the -10°C in Fahrenheit, you just need to input the information we have into the formula:

[tex]F=1.8C+32[/tex]
Input.
[tex]F=1.8(-10)+32[/tex]
Simplify.
[tex]F=-18+32[/tex]
The Answer Is:
[tex]F=14[/tex]

-10°C would be 14°F.

Hope this helps.
-Benjamin

The value of the temperature -10°C is equivalent to 14°F.

The process of changing a quantity's unit of measurement to another one that reflects the same physical amount is known as unit conversion.

To convert -10°C to Fahrenheit using the formula F = 1.8C + 32, follow these steps:

Start with the given temperature in Celsius, which is -10°C. Plug in -10 for C in the formula:

F = 1.8(-10) + 32.

Simplify the equation: F = -18 + 32.

Combine like terms:

F = 14.

Therefore, -10°C is equivalent to 14°F.

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Represent the product of 22 times 26

Answers

the represent for that would be 572

The product of 22 times 26 is 572.

To find the product of two numbers, one multiplies the first number by the second number. In this case, we multiply 22 by 26:

\[ 22 \times 26 = 572 \]

This is a straightforward multiplication of two two-digit numbers. The result is 572, which is the answer to the question.

You made two deposits to your bank accounts this month. One deposit was $17.92, and the second deposit was $15.33. Your balance at the end of the month is $72.31, and you made no withdrawals. Which expression shows your balance at the beginning of the month?

Answers

$72.31 is the total amount AFTER ADDING TWO DEPOSITS

So, if we want to know the amount before deposits, we just need to take the total of previous two deposits

The expressions that show your balance would be

$72.31 – $17.92 – $15.33; $39.06

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