Divide. −4 1/3÷−2 3/5 1 2/3 1 4/5 2 1/5 2 3/5

On a map, the distance between two towns is 3.4 inches. The map scale is 2 inches: 25 miles. What is the actual distance between

Mariulka [41]

For this question we can solve it by setting up a proportion:

$\frac{2inches}{25 miles}= \frac{3.4inches}{x}$

Now we can solve for x to find the total distance between the towns. Let's cross multiply and solve for x:

$2x=85$
$x=42.5miles$

So now we know that the total distance between the towns is 42.5 miles.

4 0

3 years ago

Find the product of (5t-3) and (3t +7) when t = 6

emmasim [6.3K]

Answer:

675

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

(5t - 3) · (3t + 7)

t = 6

Step 2: Evaluate

Substitute in t: (5(6) - 3) · (3(6) + 7)
(Parenthesis) Multiply: (30 - 3) · (18 + 7)
(Parenthesis) Subtract: 27 · (18 + 7)
(Parenthesis) Add: 27 · 25
Multiply: 675

8 0

3 years ago

Read 2 more answers

8. Find the area of the figure.

alexandr402 [8]

Answer:

$\pi 6.125 cm^{2} + 24.5cm^{2}$ or $43.74225cm^{2}$

Step-by-step explanation:

Formula for calculating area of a circle:

$\pi r^{2} = a$

Formula for calculating area of a triangle:

$\frac{w * h}{2} = a$

Formula for calculating radius from diameter:

$\frac{d}{2} = r$

The left figure isn't a circle but a half circle, which (that the name indicates) is half a circle, and therefor also half the area of a circle. So the formula for calculating the area of a half circle is:

$\frac{\pi r^{2} }{2} = a$

The right figure in the image is a triangle, so we can use the triangle-area-formula above for that:

$\frac{7cm * 7cm}{2} = 24.5cm^{2}$

The diameter of the half circle is 7 cm which means that the radius is 3.5cm. $\frac{\pi 3.5cm^{2} }{2} = \pi 6.125cm^{2}$

6.125*pi is about 19.24225 cm^2

Now we just have to add the two areas together to get the total area.

The exact answer is:

$\pi 6.125 cm^{2} + 24.5cm^{2}$

The approximate answer is:

$43.74225cm^{2}$

Hope i could help you understand!

If you have any questions, ask them in the comments below!

Have a good day (●'◡'●)

3 0

3 years ago

Your mother decides to join a yoga class. The initial fee is $60,

dexar [7]

Answer:

60 paid once and 2 dollars paid per class 60+2x=amount paid

60+2(12)

60+24

$84

Step-by-step explanation:

8 0

3 years ago

What is the value of x if 2 over 2x plus 1 over 2x is 1 over 2

Bas_tet [7]

Answer:

3/4 = x

Step-by-step explanation:

2/2x + 1 = 1/2

2/2x + 1 * 1/2x = 1/2 * 1/2x

2 + 1 = 1/4x

3 = 4x

3/4 = 4x/4

3/4 = x

7 0

2 years ago