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A car can travel 60 miles on 3 gallons of gasoline. How far can it travel on 11 gallons of gasoline?

MakcuM [25]

Answer: with 11 miles, it can travel 220 miles

6 0

3 years ago

Each of 15 learners will give a one and a half minute speech in their mother tongue. how long will it take to give the speeches?

STatiana [176]

It will take approx. 22 minutes and 30 seconds for the speeches.

<h3>What is Division?</h3>

It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Here, Time duration of each learner = 1 minutes 30 seconds

= 3/2 minutes.

Total number of learners = 15

Time taken by all the speech category = 15 X 3/2

= 45/2

= 22 minutes 30 seconds

Thus, It will take approx. 22 minutes and 30 seconds for the speeches.

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5 0

2 years ago

. Ralph’s Fill Dirt and Croissant Shop in Spencer makes both grand and petit croissants. Each grand requires 1 ounce of flour an

Gwar [14]

Answer:

1

Step-by-step explanation:

let G be the number of grand croisssants, and P the number of petit croissants :

we have that 1 ounce of flour and 2 ounces of butter result in one G.

additionally, we have that 1/4 ounce of flour and 1/3 ounce of butter result in one P.

Ralph has 4 ounces of flour and 6 ounces of butter, If he bakes more than 1 G then he will never use all of his ingredients!, let's see:

1 G:

he now has 3 ounces of flour, and 4 ounces of butter,

now we need to figure out how many P's we would obtain with such amounts:

let x be the number of P's

$1/4*x = 3=>x=12\\ 1/3*x=4=>x=12$

which is reasonable, Ralph can bake 12 P's,

now with more than 1 G:

2G:

Ralph has now 2 ounces of flour and 2 ounces of butter, now we have to figure out that x is the same using the remaining ingredients

$1/4*x = 2=>x=8\\ 1/3*x=2=>x=6$

This is impossible.

3G:

he runs out of butter.

There is the answer, he is able to bake 1 grand croissant and 12 petit croissants

7 0

3 years ago

PLEASE ANSWER HURRY THANK YOU

Juliette [100K]

Answer: A. $\dfrac{6}{203}$

Step-by-step explanation:

Given : Jason bought 10 of the 30 raffle tickets for a drawing.

i.e. Total tickets = 30

Also, Number of prizes = 3

The total number of combinations of getting 3 prizes out of 30 tickets = $^{30}C_3$

The number of combinations of getting 3 prizes out of 10 tickets = $^{10}C_3$

Then, the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away will be :

$\dfrac{{^{30}C_3}}{^{10}C_3}$

$=\dfrac{\dfrac{10!}{3!7!}}{\dfrac{30!}{3!27!}}=\dfrac{120}{4060}=\dfrac{6}{203}$

Hence, the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away is $\dfrac{6}{203}$ .

Hence, the correct answer is A. 6/203.

3 0

3 years ago

Read 2 more answers

If the purchase price for a house is $445,500, what is the monthly payment if you put 5% down for a 30 year loan with a fixed ra

Lemur [1.5K]

The monthly payment if we put 5% down for a 30-year loan with a fixed rate of 6.25% is (B) $2,605.87 (approx).

A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, or other entities in finance.
The recipient (i.e., the borrower) incurs a debt and is typically required to pay interest on that debt until it is repaid, in addition to repaying the principal amount borrowed.
The document evidencing the debt will typically include information such as the principal amount borrowed, the interest rate charged by the lender, and the date of repayment.
A loan is the temporary reallocation of the subject assets between the lender and the borrower.

To find the monthly payment if we put 5% down for a 30-year loan with a fixed rate of 6.25%:

The purchase price is = $445500
5% is down payment = 0.05 × 445500 = 22275
Loan amount is = 445500 - 22275 = 423225
The EMI formula is = [p × r (1+r)ⁿ]/[(1+r)ⁿ-1]
p = 423225
r = 6.25/12/100=0.0052
n = 30 × 12 = 360
Putting the values in the formula we get:
[423225 × 0.0052 × (1.0052)³⁶⁰]/[(1.0052)³⁶⁰-1]
= $2603.17

Therefore, the monthly payment if we put 5% down for a 30-year loan with a fixed rate of 6.25% is (B) $2,605.87 (approx).

Know more about loans here:

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The correct question is given below:
If the purchase price for a house is $445,500, what is the monthly payment if you put 5% down for a 30-year loan with a fixed rate of 6.25%?

a. $2,740.19

b. $2,605.87

c. $1,314.84

d. $1,249.10

8 0

1 year ago