Ask question

Ask question

All categories

alexandr1967 [171]

2 years ago

12

Lance and 7 other friends go to an activity center together. They each pay $5.95 for dinner, $4 for laser tag, $3.60 for bowling

shoes, and $2.25 for video games. The total amount they spent is 8(5.95)+8(4)+8(3.60)+8(2.25). Rewrite the expression so that it only has one multiplication operation.

1 answer:

yulyashka [42]2 years ago

8 0

The original equation: 8(5.95)+8(4)+8(3.60)+8(2.25)= $126.4

To answer the question you should add all of the numbers within the parenthesis together: 5.95+4+3.60+2.25= $15.8

Then multiply that answer times the total number of people: 8(15.8)= $126.4

You might be interested in

Please help will give brainliest

Anarel [89]

Answer: A. 12^2

Step-by-step explanation: Follow PEMDAS

5 0

3 years ago

Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required

xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

$A = Pe^{rt}$

Where

A is the Amount

P is the Principal

r is the rate

t is the time

(a) For the amount to double, A = 2 × P

A = 2 × $3000

A = $6000

$6000 = 3000e^{0.085t}$

$\frac{6000}{3000} = e^{0.085t}$

$2 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}2 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln2 = 0.085t$

$t = \frac{ln2}{0.085}$

$t = \frac{0.693}{0.085}$

t = 8.15

(b) For the amount to double, A = 3 × P

A = 3 × $3000

A = $9000

$9000 = 3000e^{0.085t}$

$\frac{9000}{3000} = e^{0.085t}$

$3 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}3 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln3 = 0.085t$

$t = \frac{ln3}{0.085}$

$t = \frac{1.0986}{0.085}$

t = 12.92

5 0

3 years ago

Light travels 1.08 x 10 9 kilometers in one hour. How far does it travel in 2 hours?

ozzi

The distance traveled by the light in 2 hours is 2.16×10⁹ km.

<h3 /><h3>Distance:</h3>

This is the total length of space between two points covered by an object. Distance has no regard for direction as it is termed a scalar quantity. The S.I unit of distance is meter(m).

To calculate the distance traveled by the light in 2 hours, first, we need to calculate the speed of the light.

Formula:

S = d/t................. equation 1

Where:

S = speed
d = distance travelled

t = time

From the question,

Given:

d = 1.08×10⁹ km
t = 1 hour

Therefore,

s = 1.08×10⁹/1

s = 1.08×10⁹ km/h

The distance traveled in 2 hours is

d = 2×1.08×10⁹
d = 2.16×10⁹ km

Hence, the distance traveled by the light in 2 hours is 2.16×10⁹ km

Learn more about distance here: brainly.com/question/23848540

6 0

2 years ago

Find the distance between each pair of points. Round to the nearest tenth<br> (-2,2) (5,2)

bija089 [108]

Answer:

Distance = 7

Step-by-step explanation:

$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(5-(-2))^2+(2-2)^2} \\d= \sqrt{(7)^2+(0)^2} \\d= \sqrt{49+0} \\d= \sqrt{49}\\ d= 7$

6 0

3 years ago

What is the y-coordinate of the solution for the system of equations? x−y=−11 y+7=−2x

ICE Princess25 [194]

Answer:

$y= 5$

Step-by-step explanation:

Given the system of equations:

$x-y=-11$

$y+7=-2x$

In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.

$x=y=-11$

$y+7=-2x$

$y+7=-2x$

$+ -7$

$y = -2x - 7$

$x - y = -11$

$y = -2x-7$

$x-(-2x-7)=-11$

$x--2x=x+2x=3x$

$3x+7=-11$

$-7$

$-11+-7=-18$

$3x=-18$

$\div3$

$-18\div3=-6$

$x=-6$

$y=-2x-7$

$y=(-2)(-6)-7$

$-2\times-6=12-7=5$

$y=5$

Hope this helps.

7 0

2 years ago