What is the slope of the line shown below?

Find a ratio equivalent to 30:14.

Sedbober [7]

Answer:

60 : 28, 90 : 42, 120 : 56, 150 : 70

here are some of the ratios equivalent to 30:14

give me brainliest please

multiple 30:14 or divide it by 2 to get the equivalent

8 0

3 years ago

Read 2 more answers

Gideon took an online math test consisting of 25

kondor19780726 [428]

Step-by-step explanation:

25 questions, 2 points each.

that means there were 25×2 = 50 points in total.

Gideon got 42 out of the 50.

100% = 50

1% = 100%/100 = 50/100 = 0.5

42 is how many % ? as many as 1% (0.5) fits into 42.

so,

42/0.5 = 42×2 = 84%

he scored 84%.

5 0

2 years ago

A hydraulic lift is to be used to lift a 2000-kg weight by putting a weight of 25 kg on a piston with a diameter of 10 cm. Deter

grigory [225]

Answer:

88 centimeters is the diameter of the cilinder

Step-by-step explanation:

The pressure on both ends of the lift must be the same. Assuming the piston is cilindrical, its area will be A=π*r² where r is half the diameter

Since pressure P=F/A And P1=P2

F1=2000kg.g

A1=π*r²

F2=25kg.g

A2=π*0.05²

2000/(π*r²)=25/(π*0.05²)

and we solve for A1

r²=2000*0.05²/25

$r=\sqrt{\frac{2000*0.05^2}{25}}$

r= $\sqrt{5}$ 20*0.05/5=0.44m or 44cm

This is the radius, meaning that the diameter will be twice this number

6 0

3 years ago

Read 2 more answers

A closed box with a square base is to have a volume of 171 comma 500 cm cubed. The material for the top and bottom of the box co

Zepler [3.9K]

Answer:

$C(x)=\dfrac{20x^3+1715000}{x}\\$Minimum cost, C(35)=\$29,400$

The dimensions that will lead to minimum cost of the box are a base length of 35 cm and a height of 140 cm.

Step-by-step explanation:

Volume of the Square-Based box=171,500 cubic cm

Let the length of a side of the base=x cm

Volume $=x^2h$

$x^2h=171,500\\h=\dfrac{171500}{x^2}$

The material for the top and bottom of the box costs $10.00 per square centimeter.

Surface Area of the Top and Bottom $=2x^2$

Therefore, Cost of the Top and Bottom $=\$10X2x^2=20x^2$

The material for the sides costs $2.50 per square centimeter.

Surface Area of the Sides=4xh

Cost of the sides=$2.50 X 4xh =10xh

$\text{Substitute h}$=\dfrac{171500}{x^2} $into 10xh\\Cost of the sides=10x(\dfrac{171500}{x^2})=\dfrac{1715000}{x}$

Therefore, total Cost of the box

$= 20x^2+\dfrac{1715000}{x}\\C(x)=\dfrac{20x^3+1715000}{x}$

To find the minimum total cost, we solve for the critical points of C(x). This is obtained by equating its derivative to zero and solving for x.

$C'(x)=\dfrac{40x^3-1715000}{x^2}\\\dfrac{40x^3-1715000}{x^2}=0\\40x^3-1715000=0\\40x^3=1715000\\x^3=1715000\div 40\\x^3=42875\\x=\sqrt[3]{42875}=35$

Recall that:

$h=\dfrac{171500}{x^2}\\Therefore:\\h=\dfrac{171500}{35^2}=140cm$

The dimensions that will lead to minimum costs are base length of 35cm and height of 140cm.

Therefore, the minimum total cost, at x=35cm

$C(35)=\dfrac{20(35)^3+1715000}{35}=\$29,400$

8 0

3 years ago

How are sales tax, tip and markup related

Ronch [10]

one is based on the other, is just extra charge based on the one before it.

say the store manager bought some scooter, she paid $10 for it.

well, she's not going to sell it for $10 because there are other costs, shipping, storage, cleaning up the scooter while in the store before is sold, rent for the store and so on, so the scooter is going to sell for more than $10............ hmmmm say $15.

so then the manager bumped up the price by $5, that bumped up amount is the markup.

now, the manager was so nice to you, she was wearing a nice perfume, so you give her a tip, the tip is usually, not always, but usually based on the price of the product, say you give her 10% tip, so 10% of 15 is 0.15.

whenever you buy that scooter, it comes with sales tax, provincial taxation to pay for public works, so you're not really going to pay $15 flat, it'll be $15 and some change, say tax is 20%, so you'll be buying that scooter for $15.30.

so, the scooter went from $10 to $15 due to markup to $15.15 with the tip to $15.45 if we add the 0.30 in tax.

the tip is based on the marked up price, and the tax is also based on the marked up price, though sometimes the tip is based on the after-tax price, not always.

7 0

3 years ago