MATHEMATICS HIGH SCHOOL

a moving company charges a flat rate of $85 plus and additional $0.17 per mile driven. How far must the company drive to earn at least $100? Round to the nearest mile.

Answers

Answer 1

Answer:

Answer:

Atleast 88 miles

Step-by-step explanation:

We are given that

A moving company charges a flat rate=$85

Cost of 1 mile driven=$0.17

We have to find the distance drive by the company to earn at least $100.

Let x mile drive by company .

According to question

$85+0.17x\geq 100$

Subtract 85 on both sides of inequality

$85+0.17x-85\geq 100-85$

$0.17x\geq 15$

Divide by 0.17 on both sides

$x\geq (15)/(0.17)$

$x\geq 88.23$

$x\geq 88$ (round to nearest mile)

Hence, the company must drive atleast 88 miles to earn atleast $100.

Answer 2

Answer: They get $85 for just getting in the truck and starting the engine.

To earn $100, they need another $15 for mileage.

$15 / 0.17 = 88.2 miles

Rounded to the nearest mile, it's 88 miles (but that still leaves them 4¢ short).

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city high school had a student reduction and lost 3/4 of its students. if 87 of its students were left after the reduction, how many students wete there originally?

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there were 116 students originally

Hopefully y'all can help me on this

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Find the area of one triangle ( half base times height ) and times it by the height of the prism. (12x9=) 108m. 108m is your answer.

Alan has 80% more stamps than Billy. Billy has 3/5 of the number of Charlies stamps. If Billy gave 150 stamps to Charlie, then Charlie would now have three times the number of Billys remaining stamps. What is the total number of stamps they have altogether?

Answers

a=alan
b=billy
c=charlie

a is 80% more than charlie means that a is 100% and billy=20%, so 20% of alan=billy
0.2a=c

b has 3/5 of c
b=3/5c

if b-150 and c+150, (c+150)=3 times (b-150)
luckily we can related c and b
b=3/5c
c+150=3(3/5c-150)
distribute
c+150=9/5c-450
add 450 both sides
c+600=9/5c
minus c both sides
600=4/5c
times 5/4 both sides
750=c

charlie has 750 stamps
billy=3/5 times c
b=3/5 times 750
b=450
allan has 80% more than billy
0.2a=b
0.2a=450
divide both sides by 0.2
a=2250

b=450
a=2250
c=750
add them
a+b+c=2250+450+750=3450 stamps

a=alan

b=billy

c=charlie

a is 80% more than charlie means that a is 100% and billy=20%, so 20% of alan=billy

0.2a=c

b has 3/5 of c

b=3/5c

if b-150 and c+150, (c+150)=3 times (b-150)

luckily we can related c and b

b=3/5c

c+150=3(3/5c-150)

distribute

c+150=9/5c-450

add 450 both sides

c+600=9/5c

minus c both sides

600=4/5c

times 5/4 both sides

750=c

charlie has 750 stamps

billy=3/5 times c

b=3/5 times 750

b=450

allan has 80% more than billy

0.2a=b

0.2a=450

divide both sides by 0.2

a=2250

b=450

a=2250

c=750

add them

a+b+c=2250+450+750=3450 stamps

Find the value of x in circle O.

Answers

i think you forgot to post the picture of circle O

A carpenter added a diagonal brace to gate. The gate is 8ft. Wide and 10 ft. Tall. How long is the brace

Answers

Answer:

The brace is $2√(41)$ ft ≅ 12.806 ft long

Step-by-step explanation:

The length of the diagonal of a rectangle can be found using this rule

$d=\sqrt{l^(2)+w^(2)}$ , where

l is its length

w is its width

∵ The gate has shaped a rectangle

∵ Its length = 10 ft

∵ Its width = 8 ft

∴ l = 10 and w = 8

∵ The brace is the diagonal

→ By using the rule above

∴ $d=\sqrt{(10)^(2)+(8)^(2)}=√(100+64)=√(164)$

∴ The length of the brace = $2√(41)$ ≅ 12.806 ft

∴ The brace is $2√(41)$ ≅12.806 ft long

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Answers

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Given 570mL, we multiply it to the amount of ounces as shown in the relation. This is done below:

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