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netineya [11]
3 years ago
7

I’d love the answer ASAP please

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:

1872 cm^3

Step-by-step explanation:

To solve this you can split the shape into two parts, the large rectangle with length 18 and width 8, and the small rectangle with length 6 and width 3.

So now apply the volume formula,

for the larger shape,

V = Area * height

V = L*W *H

V = 18*8*12

The volume of one part is 1728.

Now for the second shape on top,

V = L*W*H

V = 6*8*3 = 144

Now add the two, 1728+ 144 = 1872

1872 cubic centimeters

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Find the slope-intercept form of the equation of the line that passes through
yawa3891 [41]

Answer:

Step-by-step explanation:

12x - 3y = 10

-3y = -12x + 10

y = 4x - 10/3....the slope here is 4

parallel lines will have the same slope

y = mx + b

slope(m) = 4

(-5,3)...x = -5 and y = 3

now we sub and find b, the y int

3 = 4(-5) + b

3 = -20 + b

3 + 20 = b

23 = b

so ur equation is : y = 4x + 23 <==

5 0
3 years ago
ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours. Bart's bikes rents bikes for $30 per day. R
lyudmila [28]

Bart company charges a lower rate. It is lower by rate $ 0.5 per hour

<h3><u>Solution:</u></h3>

Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours

Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours

To find: company that charges lower rate

Let us find the hourly rate of Ace and Bart

\text {hourly rate }=\frac{\text { Rental price }}{\text { total time in a day }}

<em><u>Hourly rate of Ace company:</u></em>

Rental price = $28

total time in a day 8 hours

\text {hourly rate }=\frac{28}{8}=3.5

So the hourly rate of Ace company is $ 3.5 per hour

<em><u>Hourly rate of Bart company:</u></em>

Rental price = $ 30

total time in a day 10 hours

\text {hourly rate }=\frac{30}{10}=3

So the hourly rate of Bart company is $ 3 per hour

<em><u>Comparing hourly rate of both companies</u></em>

Ace company is $ 3.5 per hour

Bart company is $ 3 per hour

Bart company < Ace company

3 < 3.5

Thus bart company charges a lower rate

<h3><em><u>How much lower?</u></em></h3>

hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5

So, it is lower by rate $0.5 per hour

6 0
3 years ago
6.24 x 10-5 - 4.091 x 103 =
castortr0y [4]
Is the 10 taking away 5 or was it meant to me 10.5 ?
6 0
3 years ago
Read 2 more answers
tommy's toy car sits 5 feet from the gound. it goes down the ramp at .25 feet per second. how far does it go in 1.5 seconds?​
Tamiku [17]

Answer:

0.375 feet.

Step-by-step explanation:

Multiply .25 by 1.5 to get 0.375.

6 0
3 years ago
A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da
nikklg [1K]

Answer:

x\approx 267\ miles

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

f(x)=mx+b

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

c = mx+b

We must find the values of m and b with the data provided. Substituting the first point:

79 = 150m+b

Substituting the second point:

63.70 = 65m+b

Both equations form the following system:

\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.

Subtracting both equations:

150m-65m=79-63.70

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

85m=15.3

Solving:

m=15.3/85=0.18

From the first equation

79 = 150m+b

Solving for b:

b=79-150m=79-150(0.18) = 52.

The model for the problem is:

c=0.18x+52

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

100=0.18x+52

Solve for x:

0.18x+52=100

0.18x=100-52=48

x=48/0.18=266.67

Rounding to the closest integer:

\boxed{x\approx 267\ miles}

7 0
3 years ago
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