Estimate a 15% tip for a meal that cost 26.80 A. 1.35 B. 2.70 C. 4.05 D. 31. 05

Delaney bought a crate for her puppy when it was 3 months old. The crate is in the shape of a rectangular prism. Since the puppy

Alika [10]

Answer:

The volume of the new crate is exactly 174.4% of the old crate.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism of dimensions x, y and z is given by:

$V = xyz$

She decided that the dimensions of the new crate needs to be increased by 40% of the original length.

Each dimension is increased by 40%, which means that each is multiplied by 1 + 0.4 = 1.4. So

$V = 1.4x(1.4y)(1.4z) = (1.4)^3(xyz) = 2.744(xyz)$

Percentage:

The new volume is 2.744 the original volume. Considering the original volume is 100% = 1, it increased by 2.744 - 1 = 1.744 = 1.744*100% = 174.4%.

The volume of the new crate is exactly 174.4% of the old crate.

7 0

3 years ago

Mo has some sweets. He shares them out between x of his friends in 2 different wys. 7 sweets each with 2 leftover or 6 sweets ea

sveticcg [70]

Answer:

Mo is sharing the sweets between 5 friends

Step-by-step explanation:

An important thing to note is that whichever way Mo shares the sweets, the total number of sweets he has does not change. It means that if he chooses the first method to share the sweets, or the second method, he still has the same number of sweets. This will be helpful in setting up an equation that will help us solve the problem.

If he chooses the first way to share the sweets:

7x + 2 = total number of sweets available.

This is because each of his friends gets 7 sweets each, with 2 leftovers. If we add them up, it will give the total number of sweets available to be shared.

If he chooses the second way to share the sweets:

6x + 7 = total number of sweets available.

This is because each of his friends gets 6 sweets each, with 7 leftovers. If we add them up, it will give the total number of sweets available to be shared.

because the total number of sweets do not change, we have

7x +2 = 6x +7

Grouping like terms,

7x - 6x = 7 - 2

x = 5.

Therefore, Mo is sharing the sweets between 5 friends

7 0

3 years ago

An online music club sells songs for $.95each plus a $1.95monthly fee for the service. If Maria’s total monthly bill was $14.30,

aksik [14]

First you would subtract the monthly fee from the total bill
$14.30 - 1.95 = 12.35$
Maria spend $12.35 on songs, to find out how many songs, you divide that by $.95
$12.35 \div .95 = 13$
Maria bought 13 songs this month.

5 0

3 years ago

2.3 The diameter of a circle is 8 m long. Calculate its: radius

slavikrds [6]

Answer:

4

Step-by-step explanation:

Diameter is equal to 2r

so,

8÷2=4

4 0

3 years ago

Read 2 more answers

Which graph represents the function over the interval [−3,3] ? f(x)=⌈x+1⌉

CaHeK987 [17]

Answer: The correct graph is the bottom left graph.

Step-by-step explanation:

Given function is f(x)=ceil(x+1)

To plot graph of f(x) in interval of(-3,3) :

ceil(x+1) is ceiling function

The output of ceil(x) is least integer greater than x

for example ceil(5.5)=6

For an interval of (-3,-2):

Take x=(-2.4)

x+1=(-1.4)

y=f(x)=ceil(x+1)=(-1)

Similarly,

For an interval of (-2,-1):

Take x=(-1.4)

x+1=(-0.4)

y=f(x)=ceil(x+1)=(0)

For an interval of (-1,0)

y=f(x)=1

For an interval of (0,1)

y=f(x)=2

For an interval of (1,2)

y=f(x)=3

For an interval of (2,3)

y=f(x)=4

Thus, The correct graph is the bottom left graph.

4 0

3 years ago