Edugence

Un automóvil corre a 120 kilómetros por hora y otro a 80 kilómUetros por hora; si deben recorrer 960 kilómetros, ¿con cuántas ho

Artist 52 [7]

Answer:

4 hours

Step-by-step explanation:

The speed of the first car is

$v_1 = 120 km/h$

While the speed of the second car is

$v_2=80 km/h$

The time it takes for each car to cover a distance d is

$t=\frac{d}{v}$

where

d = 960 km is the total distance covered

For car 1, the time taken is:

$t_1=\frac{960}{120}=8 h$

For car 2, the time taken is:

$t_2=\frac{960}{80}=12 h$

Therefore, the difference in time is:

$\Delta t =t_2-t_1 =12 -8 = 4 h$

8 0

3 years ago

The coordinates of the four vertices of the rectangle are (1,-1), (4,-1), (4,1), and (1,1). The perimeter of the rectangle is ho

vlada-n [284]

Answer:

10

Step-by-step explanation:

4-1=3 (length of base)

-1-1=-2 (absolute value of height is 2)

3+2+2+3=10

5 0

3 years ago

If you deposit $1000 in a savings account with an interest rate of r compounded annually, then the balance in the account after

Sedaia [141]

Answer:

B

Step-by-step explanation:

Our equation is as follows, B(c)=1000(1+r)^3. We are being asked to manipulate the equation and have it be r equals in order to solve for an interest rate when given a balance B. To solve the equation for the variable r, we must isolate r by completing order of operations or PEMDAS backwards.

SADMEP allows us to undo subtraction, addition, and etc in the correct order. We have no subtraction or addition outside of more complex operations. So we move to multiplication or division.

We divide both sides by 1000.

$\frac{B}{1000} =\frac{1000(1+r)^{3} }{1000}$

We simplify the right side.

$\frac{B}{1000} =(1+r)^{3}$

We need to now undo the exponent of 3 by using the inverse, a cube root.

$\sqrt[3]{\frac{B}{1000}} =\sqrt[3]{(1+r)^{3}}$

We simplify the right side.

$\sqrt[3]{\frac{B}{1000}} =(1+r)$

We subtract 1 to both sides to get r alone.

$-1+\sqrt[3]{\frac{B}{1000}} =r$

For our last step, we simplify the denominator of the root because 10*10*10=1000.

$-1+\frac{\sqrt[3]{b} }{10} =r$

This is answer choice b.

5 0

3 years ago

What is S7 for the arithmetic series: a1 = 26, d = 3, and a7 = 44

Vaselesa [24]

Answer:

The answer is 245

Step-by-step explanation:

For arithmetic series with n=7: S7=(a1+a7)*7/2

Thus, S7=(26+44)*7/2=245

The answer is 245

8 0

3 years ago

-3 +2x =11x/2+ 6<br> Show work to please

german

1

Rearrange terms

2

Find common denominator

3

Combine fractions with a common denominator

4

Multiply the numbers

5

Add

3

to both sides of the equation

6

Simplify

7

Multiply all terms by the same value to eliminate fraction denominators

8

Cancel multiplied terms that are in the denominator

9

Multiply the numbers

10

Subtract

11x

from both sides of the equation

11

Simplify

12

Divide both sides of the equation by the same term

13

Simplify

6 0

2 years ago