MATHEMATICS MIDDLE SCHOOL

Heather is trying to decrease the amount of toys that Oliver has. Originally, he had 55 toys in his room and now he only has 30. By what percentage did Heather decrease the amount of toys?

Answers

Answer 1

Answer:

Answer: 45.45%

Step-by-step explanation:

Given: The number of toys in Heather's room before = 55

The number of toys now in the room = 30

Now, the decrease in the toys = $55-30=25$

We know that the percent decrease is given by ;-

$\frac{\text{Decrease in amount}}{\text{amount before}}*100$

$\n=(25)/(55)*100=45.4545\approx45.45\%$

Hence, Heather decrease the amount of toys by 45.45% .

Answer 2

Answer: 25/55 = x/100, so I think it is 45% Decreased.

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Bonita evaluated 5/6 × 1 2/3 and got an answer of 7/3. How can you tell that her answer is wrong?A. The answer must be less than 5/6.

B. The answer cannot be an improper fraction.

C. 5/6 of a number cannot be greater than the number.

D. The denominator cannot be the same as one of the factors.

Answers

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

$(5)/(6)* 1(2)/(3)\n\n=(5)/(6)* (5)/(3)\n\n=(5* 5)/(6* 3)\n\n=(25)/(18)$

But she gets $(7)/(3)$ as an answer.

As we know that

$(5)/(6)$ of a number cannot be greater than the number.

Because the value of $(5)/(6)$ is 0.84 which is less than 1.

So, $(5)/(6)$ of a number cannot be greater than the number

and

$(7)/(3)=2.34\n\nbut\n\n(25)/(18)=1.38$

1.38<2.34 i.e.

$(25)/(18)<(7)/(3)$

So, Option 'C' is correct.

Convert the mixed number 1 2/3 into an improper fraction first by multiplying the denominator by the whole number part and add the numerator to get the new numerator. Place the new numerator over the old denominator.

5 * 5/6 * 3

Multiply 5 by 5 to get 25.

25/6 * 3

Multiply 6 by 3 to get 18.

25/18

1 7/18

What is the GCF of 56 ane 33?

Answers

The GCF of 56 and 33 is: 1

To find the GCF, all you need to do is list the factors of each given number, and find the highest one that is similar between the two.

Factors of 33: 1, 3, 11, 33
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

360 customers in 30 days in Ratio form

Answers

I think it's 360:30 Or it can be simplified to 12:1

360 customers: 30 days

Colby and Jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. Jaquan has a different type of bacteria that doubles every 3 hours. How many bacteria should Jaquan start with so that they have the same amount at the end of the day?BTW I dont want bacteria formula

Answers

I assume here that the day here is the 24 period. This means that if the bacteria doubles every 2 hours, this will happen 12 times (24/2=12).

So Colby will have 50*2*2*2*2*2*2*2*2*2*2*2*2=50*4*4*4*4*4*4=200*4*4*4*4*4=800*4*4*4*4=3200*4*4*4=204800 bacteria.

if the bacteria doubles every 3 hours, this will happen 8 times (24/3=8).

So Jaquan will have

x*2*2*2*2*2*2*2*2=x*4*4*4*4=x*16*16=x* 256

So if we want so have the same amount:

204800=x*256
x=800

So he needs to start with 800.

Which shows the prime factorization of 36? i dont understand i need help asap
A.
2 • 2 • 2 • 3

B.
2 • 2 • 3 • 3

C.
2 • 2 • 9 • 1

D.
2 • 3 • 3 • 3

Answers

a= 24
b= 36
c= 36
d= 54

Least to greatest fractions 1/2, 2/5, 6/10

Answers

2/5, 1/2, 6/10 is the order from these fractions from least to greatest.

To solve this problem, we must put all of the fractions into a common denominator. In this instance, we shall choose 10.

2/5 = 4/10
1/2 = 5/10
6/10 = 6/10

Therefore, because we now have all the fractions in a common denominator, we know that 4<5<6, so the fractions should be arranged in the order above.

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