MATHEMATICS
HIGH SCHOOL

Answer: 3 Hours And 45 Minutes

Hope This Helps!

Hope This Helps!

MIDDLE SCHOOL

Lakeisha has 3 5/8 yards of fabric. She wants to make a dress that requires 2 1/2 yards of fabric. How much fabric will she have left over?

1/2 = 4/8

3 5/8 - 2 4/8 = 1 1/8 yards left over

All you are doing is subtraction. 3 5/8 - 2 1/2 = 1.125 in decimal form.

HIGH SCHOOL

Explain how you can find PN if you know PQ and QN. How can you find PN if you know MP and MN?. .

If you know PQ and QN, and they are in the same line, you should just add them and there you have PN. If you know MP and MN, it is the same as having NM and MP, and finding NP is the same as finding PN (if you read them backwards, it's the same distance). The problem would be if they are not in the same line, in which case you will need to know an angle and then you would be able to use cosin theorem.

COLLEGE

Evaluate bh for for b = 5 and h = 10. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar. Do not type spaces in your answer.

Given that b=5 and h=10, then b/h will be as follows:

substitute the values of b and h in b/h we have:

b/h=5/10=1/2

therefore the answer is:

b/h=1/2

substitute the values of b and h in b/h we have:

b/h=5/10=1/2

therefore the answer is:

b/h=1/2

Answer:

for b=5 and h=10.

Step-by-step explanation:

Given : The value of b=5 and h=10.

To find : Evaluate bh ?

Solution :

As we have given bh i.e. b and h are multiplied together,

So,

Substitute, b=5 and h=10

Therefore, for b=5 and h=10.

COLLEGE

If you rent a car, you can (1) return it with a full gas tank, (2) return it without filling it and pay $3.45/gallon or (3) accept a fixed price of $35 for full tank of gas. The local price is $3.15/gallon of gasoline and you expect the car to get 28 mpg. The car has 20-gallon tank. What choice should you make if you expect to drive? a) 150 miles

b) 350 miles

c) 500 miles

d) How do your answers change if stopping at filling station takes 15 minutes and your time is worth $12/hr

Answer:

a) return it with a full gas tank

b) return it with a full gas tank

c) accept a fixed price

d) answers do not change

Step-by-step explanation:

considering the 3 scenarios under the assumption that the car initially has the tank full , then:

1) return it with a full gas tank : cost=$3.15 /gallon / (28 miles/gallon)* number of miles

2) return it without filling it: cost= $3.45 /gallon / (28 miles/gallon) * number of miles

3) accept a fixed price: $35

then option 1 is always better than option 2. The option 1 is better than the third when

$3.15 /gallon / (28 miles/gallon)* number of miles < $35

number of miles < 35/3.15*28 = 311 miles

then the choice for

a) return it with a full gas tank

b) return it with a full gas tank

c) accept a fixed price

for d) , assuming the best case scenario that the filling station is on the main pathway so you do not have to deviate to reach the station, then the cost for option 1 is altered

1) return it with a full gas tank : cost= cost of filling the tank + cost for the stops at the filling station

cost=$3.15 /gallon / (28 miles/gallon)* number of miles + $12/(hour*stop) * 15 min* 1 hour/60 min * 1 stop/20 gallons / (28 miles/gallon) * number of miles = $ 0.1178 /mile * number of miles

while option 2) remains the same : $0.1232/mile*number of miles

then option 1 is still better than option 2. The option 1 is better than the third when

$ 0.1178 /mile*number of miles < $35

number of miles < 35/0.1178 = 297 miles

then the answers do not change

MIDDLE SCHOOL

12 is 25% of what number using a ratio table

% means 'parts out of 100' so

25%=25/100

is 12 is 25 parts out of 100 of a number

so 12=(25/100)x

25/100 simplifies to 1/4

or if 12=(1/4)x

we multiply both sides by 4 and get

48=1x

25%=25/100

is 12 is 25 parts out of 100 of a number

so 12=(25/100)x

25/100 simplifies to 1/4

or if 12=(1/4)x

we multiply both sides by 4 and get

48=1x

COLLEGE

Solve 9^2x=66 round to the nearest ten-thousandth

ANSWER

EXPLANATION

The given expression is

We take logarithm of both sides to base e to get,

This implies that,

Or

This implies that,

We divide both sides by 4ln(3) to get,

To the nearest ten-thousandth, we have,

EXPLANATION

The given expression is

We take logarithm of both sides to base e to get,

This implies that,

Or

This implies that,

We divide both sides by 4ln(3) to get,

To the nearest ten-thousandth, we have,

If you simplify it, you get x= In(66)/4in(3)

So the answer would be 0.953397... or 1 when you round it

Hope it helps

So the answer would be 0.953397... or 1 when you round it

Hope it helps

HIGH SCHOOL

The sum of two numbers is 20. Their difference is 4. Write a system that describes this situation. Then solve your system by elimination to find the two numbers.

Call the two numbers x and y. The equations are straightforward; you can convert directly from English into math.

"The sum of the two numbers is 20": x + y = 20

"Their difference is 4": x - y = 4

Now you can solve. Adding the equations you get 2x = 24, so x = 12. That means y = 8

"The sum of the two numbers is 20": x + y = 20

"Their difference is 4": x - y = 4

Now you can solve. Adding the equations you get 2x = 24, so x = 12. That means y = 8

X+y = 20

x-y = 4

Solve: Add them two first -> 2x = 24 ->x = 12

So y = 8

x-y = 4

Solve: Add them two first -> 2x = 24 ->x = 12

So y = 8

MIDDLE SCHOOL

Fill in the blank.In the triangle below,z degrees =

Not enough information, please attach a photo next time.

HIGH SCHOOL

Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?

Answer:

The probability of rolling a 3 is

1

6

since there is 1 three and there are 6 sides total. The probability of rolling an even number is

1

2

since there are 3 even numbers and 6 total sides. Multiply

1

6

and

1

2

and the correct answer is

1

12

.

Okay so all you have to do is give the percent of 1/6 for rolling a 3 and 3/6 for the even rolling, so 6, Hoped it helped : )