MATHEMATICS
MIDDLE SCHOOL

2x² +5?

Answer:

Answer:

3x^2 -3x - 3.

Step-by-step explanation:

Just subtract:

5x^2 - 3x + 2 - (2x^2 + 5)

= 5x^2 - 3x + 2 - 2x^2 - 5

= 3x^2 -3x - 3.

MIDDLE SCHOOL

You need 1/4 of a gallon of paint to paint 1/5 of a room how much paint is needed to paint the entire room

1 and 1/4 gallons

If 1/4 does 1/5 then you can multiply 1/4 by 5 and get 1 1/4 does the whole room

If 1/4 does 1/5 then you can multiply 1/4 by 5 and get 1 1/4 does the whole room

MIDDLE SCHOOL

If the ratio of boys to girls in a class is 3 to 2 and there are 15 students in the class,how many of the students are boys?How many are girls?Show your work using Equivalent Ratios

3/2 is the same 15/10 so the answer. there are 3 boys to every 2 girls 9/6 the answer. 9 boys and 6 girls

10 boys

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COLLEGE

One angle of a parallelogram is 12° less than five timesfive times the measure of the angle next to it. The sum of the measures of the angles is 180°. Find the measure of the adjacent angles of the parallelogram

I think the answer is 192

HIGH SCHOOL

The bill for five glasses of apple juice and four salads is $9.50, but the total for four glasses of apple juice and five salads is $10.30. What would the be the bill for a glass of juice and a salad?

Suppose one apple juice costs $x and salad costs $y

we get 5x + 4y = 9.50

4x + 5y = 10.30

Multiplying equation (1) by 5 and (2) by 4

25x + 20y = 47.50

16x + 20y = 41.20

Subtracting we get -

9x = 6.30

x = 6.30/9 = .70

Putting value of x in (1)

5(.70) + 4y = 9.50

3.5 + 4y = 9.50

4y = 9.50 - 3.50 = 6.0

y = 6.00 / 4 = 1.50

Cost of 1 glass of apple juice is $0.70 and of 1 salad is $1.50

Therefore cost of bill for 1 glass of apple juice and 1 salad is .70+1.50 = $2.20

we get 5x + 4y = 9.50

4x + 5y = 10.30

Multiplying equation (1) by 5 and (2) by 4

25x + 20y = 47.50

16x + 20y = 41.20

Subtracting we get -

9x = 6.30

x = 6.30/9 = .70

Putting value of x in (1)

5(.70) + 4y = 9.50

3.5 + 4y = 9.50

4y = 9.50 - 3.50 = 6.0

y = 6.00 / 4 = 1.50

Cost of 1 glass of apple juice is $0.70 and of 1 salad is $1.50

Therefore cost of bill for 1 glass of apple juice and 1 salad is .70+1.50 = $2.20

Answer:2.20

Step-by-step explanation:

MIDDLE SCHOOL

which reason best describes why you can divide any number by 1,000 by moving the decimal point three places to the left

Answer:

The best reason is that number of zeros will make that many number places to the left.

Step-by-step explanation:

Examples

1.

2.

3.

4.

You can apply it for 100 as well as for 10000

i.e

Number of zeros will make that many number places to the left.

MIDDLE SCHOOL

Fatima wants to find the value of sin theta, given cot theta =4/7. Which identity would be best for Fatima to use?

Fatima should use 1 + contangent - squared of theta = cosecant - squared of theta

Answer:

1+cot ²∅=csc² ∅

Step-by-step explanation:

MIDDLE SCHOOL

Which expression does not represent "the sum of n and 6"?

n + 6

6n

6 + n

6n because that is multiplication (:

MIDDLE SCHOOL

Gabrielle and John each wrote the prime factorization of 64. Analyze

their work and explain any errors.

Answer:

Step-by-step explanation:

Gabrielle and John each

wrote the prime factorization of 64.

64 can be break into 32 times 2

32 can be break into 16 times 2

16 can be break into 8 and 2

8 can be break into 4 times 2

4 can be break into 2 times 2

So 64 is equal to 2 times 2 times 2 times 2 times 2 times 2

HIGH SCHOOL

A bakery packages cookies in two sizes of boxes, one with 18 cookies and the other with 24 cookies. A small number of cookies are to be wrapped in cellophane before they are placed in a box. To save money, the bakery will use the same size cellophane packages for each box. How many cookies should the bakery place in each cellophane package to maximize the number of cookies in each package?

I believe 24 because that is the makimum and the biggest box