MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

Step-by-step explanation:

Let n represent the number.

We are supposed to write an equation for the given word phrase.

A number decreased by negative 7 mean negative 7 is subtracted from the number: .

A number decreased by negative 7 is the same thing as 48. We will equate 48 to find our required equation as:

Simplify:

Therefore, our required equation is .

Answer: A number decreased by -7 is the same thing as adding 7

HIGH SCHOOL

at murky middle school, 372 students ride the bus to school. if this number is 60% of high school enrollment, then how many students are enrolled at the school

372 divided by 60 give you 1% or 6.2. Take 6.2 times 100 for 100% of the students or 620 total students

HIGH SCHOOL

Tourists were on a hiking trip for three days. On the first day, they hiked 1/8 of the trail. On the second day they hiked 4/7 of the remaining trail. On the third day they hiked 1/3 of the remaining trail and the last 8 km. How many km is the whole trail?

Let x = the length (km) of the whole trail.

1st day:

(1/8)x = 0.125x traveled.

Remaining amount = (1 - 0.125)x = 0.875x

2nd day:

(4/7) of 0.875x = 0.5x traveled.

Remaining amount = (1 - 0.5)x = 0.5x

3rd day:

(1/3) of 0.5x = 0.1667x traveled + 8 km

The total fractional parts traveled is

0.125x + 0.5x + 0.1667x = 0.7917x

The remaining fractional shares is (1 - 0.7917)x = 0.2083x.

This is equal to the 8 km traveled, therefore

0.2083x = 8

x = 8/0.2083 = 38.406 km

Answer: 38.4 km (nearest tenth)

1st day:

(1/8)x = 0.125x traveled.

Remaining amount = (1 - 0.125)x = 0.875x

2nd day:

(4/7) of 0.875x = 0.5x traveled.

Remaining amount = (1 - 0.5)x = 0.5x

3rd day:

(1/3) of 0.5x = 0.1667x traveled + 8 km

The total fractional parts traveled is

0.125x + 0.5x + 0.1667x = 0.7917x

The remaining fractional shares is (1 - 0.7917)x = 0.2083x.

This is equal to the 8 km traveled, therefore

0.2083x = 8

x = 8/0.2083 = 38.406 km

Answer: 38.4 km (nearest tenth)

MIDDLE SCHOOL

Can some solve this

4.50x+35\implies 165 > 4.50x\implies \cfrac{165}{4.50}>x\implies \cfrac{110}{3}>x" alt="\bf 200 > 4.50x+35\implies 165 > 4.50x\implies \cfrac{165}{4.50}>x\implies \cfrac{110}{3}>x" align="absmiddle" class="latex-formula">

which is about 36.67 > x.

MIDDLE SCHOOL

Which inequalities are equivalent to n+15 <22? Select three options. On+15-15<22-15

On+15<22-15

On+15-22 <22-22

On+15+6 <22+6

On+ 15-22 <22

PLEASE HELP

Answer:

Option 1)

Option 3)

Option 4)

Step-by-step explanation:

We are given an inequality in the question:

We have to find the inequalities equivalent to the given inequality.

1)

which is equivalent to the given inequality.

2)

which is not equivalent to the given inequality.

3)

which is equivalent to the given inequality.

4)

which is equivalent to the given inequality.

5)

which is not equivalent to the given inequality.

Answer:

A, C, D are the correct answers on Edgen.

Step-by-step explanation:

Just took the test.

HIGH SCHOOL

Completing the square: find the value of c that completes the square.

1.) x

2.)

3.)

Answer:

Step-by-step explanation:

Key to this method is remembering that

So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.

6/2 = 3, so add

So, c=9

Similarly, for the other two,

You don't really have to worry about the sign, since squaring will always make it positive

MIDDLE SCHOOL

Choose the best decimal equivalent to 5/8

0.625 is equivalent to 5/8

HIGH SCHOOL

From january 1 to december 31 of the same year, how many times does the suns perpendicular ray cross the equator

Twice.

Once at the spring equinox, once at the fall equinox.

Once at the spring equinox, once at the fall equinox.

COLLEGE

Use the future value formula to find the indicated value. n=27; i=0.04; PMT=$109; FV=?

FV=

Answer:

The future value = $1780

Step-by-step explanation:

* Lets explain the formula of the future value

- Future Value of an annuity is used to determine the future value of a

stream of equal payments.

- The future value of an annuity formula can also be used to determine

the number of payments, the interest rate, and the amount of the

recurring payments

- The future value formula is

where:

# FV = Future Value of the annuity

# PMT= Payment amount

# i = Annual interest rate

# n = Number of payments

* Lets solve the problem

- n = 27

- i = 0.04

- PMT = $109

- To find FV lets use the formula above

∵ n = 27 , i = 0.04 , PMT = 109

∴

∴

∴ FV = 1779.92 ≅ 1780

∴ The future value = $1780

MIDDLE SCHOOL

Look at points C and D on the graph: point C (-2,0), point D (2,4) What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.

Answer:

Step-by-step explanation:

Look at the given points C and D on the graph :

A coordinate plane graph is shown. Point C is at (-5,-1) Point D is at (0,3). A segment connects the two points.

What is the distance (in units) between points C (-5,-1) and D (0,3) ? Round your answer to the nearest hundredth.

Group of answer choices

a) 5.50 units

b) 6.40 units

c) 9.00 units

d) 41.00 units

TO FIND :

The distance (in units) between points C (-5,-1) and D (0,3)

SOLUTION :

Given that a coordinate plane graph is shown.

Point C is at (-5,-1) Point D is at (0,3).

A segment connects the two points.

Let the points C (-5,-1) and D (0,3) be and

The distance formula for the given two points is given by :

units

Substitute the points in the distance formula we get,

units

= 6.4031

s = 6.40 units

Option b) 6.40 is correct

The distance between the given points C and D is 6.40 units.