Ann and Betty together have $60. Ann has $9 more than twice Betty's amount.How much money does each have?

Theresa mix 3 quarts of yellow paint for every two quarts of blue paint to make the color green if she decides to use 7 quarts o

UNO [17]

Answer:

She will need 10.5 quarts

Step-by-step explanation:

ratio of yellow to blue paint = 3:2

7 ÷ 2 = 3.5

3 x 3.5 = 10.5 quarts

3 0

3 years ago

Acapulco, Mexico and Hyderabad, India both lie at 17° north latitude, and lie very nearly halfway around the world from each oth

Nataly_w [17]

In solving this problem we can consider Earth to be a sphere. When we have a circle, then we can use this formula to find arc length:
$L=2 \pi R \frac{C}{360}$
Where:
L= arc length (in this problem it is disance we need to travel)
R = radius of circle (in this problem it is equal to a radius of Earth)
C = angle we need to pass

We are told that two cities lie halfway around the world. If we fly to west this means angle is 180°.
This gives an arc length of:
$L=2* \pi *3960* \frac{180}{360} \\ \\ L=12440.71 miles$

If we want to fly to north we need to go to 90° northern latidtude and then back to 17° latitude. This means angle is:
C=2*(90-17)=2*73°=146°
This gives an arc length of:
$L=2* \pi *3960* \frac{146}{360} \\ \\ L=10090.8 miles$

We can see that flying north is shorter. It is shorter by:
12440.71 miles - 10090.8 miles = 2349.91 miles

6 0

3 years ago

What is the volume of the rectangular prism

maria [59]

Answer:

$\frac{23}{3}$ cubic units

Step-by-step explanation:

To find the volume, we can multiply the base by the height. $\frac{4}{3}$ * $\frac{23}{4}$ is $\frac{92}{12}$ , or $\frac{23}{3}$ . So the volume is $\frac{23}{3}$ cubic units.

6 0

3 years ago

Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represen

Oxana [17]

Answer:

$\begin{center}\begin{tabular}{ c c c }Hours(h) & Total Cost(C) \\ 1 & 15 \\ 2 & 20 \\ 3 & 25 \\ 4 & 30 \\ 5 & 35 \end{tabular}\end{center}$

Step-by-step explanation:

Given that:

Kevin charges $10 plus $5 per hours

C = 5h + 10

To find:

The table of values for hours worked from 1 to 5.

Solution:

First of all, let us put h = 1 in the given equation:

C = 5 \times 1 + 10

C = 5 + 10 = $15

Now, let us put h = 2 in the given equation:

C = 5 \times 2 + 10

C = 10 + 10 = $20

Now, let us put h = 3 in the given equation:

C = 5 \times 3 + 10

C = 15 + 10 = $25

Now, let us put h = 4 in the given equation:

C = 5 \times 4 + 10

C = 20 + 10 = $30

Now, let us put h = 5 in the given equation:

C = 5 \times 5 + 10

C = 25 + 10 = $35

So, the table becomes each row incrementing h by 1:

$\begin{center}\begin{tabular}{ c c c }Hours(h) & Total Cost(C) \\ 1 & 15 \\ 2 & 20 \\ 3 & 25 \\ 4 & 30 \\ 5 & 35 \end{tabular}\end{center}$

8 0

3 years ago

The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scal

snow_tiger [21]

Answer:

3rad5

Step-by-step explanation:

${a}^{2} + {b}^{2} = {c}^{2} \\ {a }^{2} + {6}^{2} = {9}^{2} \\ {a }^{2} + 36 = 81 \\ {a}^{2} + 81 - 36 \\ {a}^{2} = 45 \\ \sqrt{a} = \sqrt{45} \\ a = 3 \sqrt{5}$

7 0

3 years ago