4 times what equals 5616

Answers

Answer 1
Answer: When you know the answer and one of the factors in a multiplication problem, you can use division to find the third number.

So, in your question you know that 4 times a number equals 5616.
To find this number, we can just divide 5616 by 4.

5616 / 4 = 1404

Therefore, 4 times 1404 equals 5616.  
Hope this helps! :)
Answer 2
Answer: just divide 4÷5616 the long way and the answer would be 1404.

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A van travels 300 miles on 15 gallons of gas. Find how many gallons the van needs to travel 360 miles.

Answers

Answer:  The Van needs 18 gallons of gas to travel 360 miles.

Step-by-step explanation:  Given that a Van travels 300 miles on 15 gallons of gas.

We are to find the number of gallons that the Van needs to travel 360 miles.

We will be using the UNITARY method to solve the given problem.

Number of gallons needed to travel 300 miles = 15.

So, number of gallons needed to travel 1 mile will be

(15)/(300)=(1)/(20).

Therefore, the number of gallons needed to travel 360 miles is given by

(1)/(20)* 360=18.

Thus, the Van needs 18 gallons of gas to travel 360 miles.

Amount of gas required to travel 360\text{ miles} is \boxed{\bf 18\text{\bf\ gallons}}.

Further explanation:

The word problems can be solved from the unitary method.

The unitary method is a method in which we have to first find the value of a single unit then further find the required value by multiplying the single unit value.

Given:  

A van travelled 300\text{ miles} on 15\text{ gallon} of gas.

Calculation:

Step 1:

First we have to find the number of gallons in one mile.

It is given that the number of gallons needed to travel 300\text{ miles} is equal to 15\text{ gallon}.

Use the unitary method to calculate the number of gallons in one mile.

It is calculated as follows:

\begin{aligned}\text{Number of gallon}&=(15)/(300)\n&=(1)/(20)\end{aligned}    

Step 2:

Now, we have to calculate the number of gallons needed to travel in 360\text{ miles}.

Use the unitary method to calculate the required value by multiplying the single unit value.

The number of gallons in one mile is (1)/(20).

Therefore, the number of gallons in 360\text{ miles} is calculated as follow:

\begin{aligned}\text{Number of gallon}&=(1)/(20)\cdot 360\n&=18\end{aligned}  

Thus, the Van requires \boxed{\bf 18\text{\bf\ gallons}} of gas to travel 360\text{ miles}.

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Answer details:

Grade: Junior school

Subject: Mathematics

Topic: Unitary method

Keywords:  Van, gallons of gases, miles, travels, number of gallons, unitary method, multiply, single unit, linear equation, distance, equation.

Select the first five terms in the arithmetic sequence an = 4n, starting with n = 1.

Answers

If n is one the 4n is 4
N is 2 then 4n is 8
N is 3, 4n is 12
N is 4 then 4n is 16

Y − x = -13 -4x + 3y = -51

Answers

y - x = -13
-4x + 3y = -51

Use any of the equation to find the value of x or y. In this case, I'll use the 1st equation to find the value of y.

y - x = -13
y = x - 13

Substitute the value of y in the 2nd equation to find the value of x.

-14x + 3y = -51
-14x + 3(x-13) = -51
-14x + 3x - 39 = -51
-11x = -51 + 39
-11x = -12
x = 12/11 or 1 1/11

Substitute the value of x in any equation to find the value of y.

y = x - 13
y = 12/11 - 13
y = 12/11 - (13*11/11) *to get the common denominator
y = (12 - 143)/11 = -131/11 = 11 10/11 

to check: x = 12/11 or 1 1/11 ; y = -131/11 or 11 10/11

y - x = -13
-131/11 - 12/11 = -13
(-131 - 12)/11 = -13
-143/11 = -13
-13 = -13

Which measurement is not equivalent to the others?36 inches
3 feet
1/100 of a mile
1 yard

Answers

If you would like to know which measurement is not equivalent to the others, you can calculate this using the following steps:

1 yard = 3 feet
1 foot = 12 inches
1 mile = 5280 feet

3 feet = 3 * 12 inches = 36 inches

1 yard = 3 feet = 36 inches

1/100 of a mile = 1/100 * 5280 feet = 52.8 feet 

Not equivalent: 
1/100 of a mile.

has vertices J(3, –1), K(4, –4), and L(1, –3). Determine if is an equilateral, isosceles, or scalene triangle. A. equilateral B. isosceles C. scalene D. none of these

Answers

The solution is, the triangle is an isosceles triangle.

What is Triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Here, we have,

To solve this problem we simply need to find the lengths of each side of the triangle.

To do this, we use the distance formula: √(x1-x2)^2+(y1-y2)^2.

Using points J and K, we find that the length of JK is

√(3-4)^2+(-1-(-4))^2

=√(-1)^2+(3)^2

=√1+9

=√10.

Then we do the same for JL and KL.

JL is √(3-1)^2+(-1-(-3))^2

=√(2)^2+(2)^2

=√4+4

=√8.

KL is √(4-1)^2+(-4-(-3)^2)

=√(3)^2+(-1)^2

=√9+1

=√10.

Now we have all three sides of the triangle: √10, √8, and √10.

Check for any similarities: you have two sides of √10.

Because there are two sides of the triangle of the same length, the triangle is an isosceles triangle.

Learn more about Triangle click here:

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#SPJ2

To solve this problem we simply need to find the lengths of each side of the triangle. To do this, we use the distance formula: √(x1-x2)^2+(y1-y2)^2. Using points J and K, we find that the length of JK is √(3-4)^2+(-1-(-4))^2=√(-1)^2+(3)^2=√1+9=√10. Then we do the same for JL and KL. JL is √(3-1)^2+(-1-(-3))^2=√(2)^2+(2)^2=√4+4=√8. KL is √(4-1)^2+(-4-(-3)^2)=√(3)^2+(-1)^2=√9+1=√10. Now we have all three sides of the triangle: √10, √8, and √10. Check for any similarities: you have two sides of √10. Because there are two sides of the triangle of the same length, the triangle is an isosceles triangle.

Hannah has a credit card with an APR of 11.90% and a billing cycle of 30 days. The following table shows Hannah’s transactions in the month of April. Date Amount ($) Transaction
4/1 322.95 Beginning balance
4/10 19.87 Purchase
4/14 50.00 Payment
4/19 71.21 Purchase

If Hannah’s credit card company calculates finance charges using the daily balance method, what will her April finance charge be?
a. $2.71
b. $3.20
c. $3.30
d. $3.61

Answers

Answer:

c.  $3.30  is correct

Answer:

C. 3.30 is 100% correct

Step-by-step explanation: