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3 years ago

Solve this equation.

Mathematics

1 answer:

spin [16.1K]3 years ago

7 0

Answer:

D: 6 5/6

Step-by-step explanation:

Solve for a:

a + 7/6 = 8

Put each term in a + 7/6 over the common denominator 6: a + 7/6 = (6 a)/6 + 7/6:

(6 a)/6 + 7/6 = 8

(6 a)/6 + 7/6 = (6 a + 7)/6:

(6 a + 7)/6 = 8

Multiply both sides of (6 a + 7)/6 = 8 by 6:

(6 (6 a + 7))/6 = 6×8

(6 (6 a + 7))/6 = 6/6×(6 a + 7) = 6 a + 7:

6 a + 7 = 6×8

6×8 = 48:

6 a + 7 = 48

Subtract 7 from both sides:

6 a + (7 - 7) = 48 - 7

7 - 7 = 0:

6 a = 48 - 7

48 - 7 = 41:

6 a = 41

Divide both sides of 6 a = 41 by 6:

(6 a)/6 = 41/6

6/6 = 1:

Answer: a = 41/6 or a= 6 5/6

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If time is four hours from now, the time left till midnight would be quarter that if it is one hour from now. What time is it no

lapo4ka [179]

Answer:

The time now is 7 pm

Step-by-step explanation:

Suppose that now is the time T.

We know that:

"if time is four hours from now, the time left till midnight would be a quarter that if it is one hour from now".

Then:

if we define midnight as 12, and we assume that T is in the pm range.

Then the "time left till midnigth, assuming that the time is four hours from now" will be written as (12 - (T + 4))

With this in mind, we can write the problem as:

12 - (T + 4) = (1/4)*( 12 - (T + 1))

Now we can solve this for T.

12 - T - 4 = (1/4)*(12 - T - 1)

8 - T = (1/4)*(11 - T)

4*(8 - T) = 11 - T

32 - 4*T = 11 - T

32 - 11 = -T + 4*T

21 = 3*T

21/3 = T

7 = T

Then T = 7 pm

The time now is 7 pm

7 0

2 years ago

Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today.

gogolik [260]

Answer:

638.54-159.50+×> 500

Choose 3

Step-by-step explanation:

638.54-159.50=488.04

So the number added must make the value greater or equal to 500

7 0

3 years ago

Find the area of the regular polygon. Round to the nearest tenth.

mojhsa [17]

Given:

Side length = 12 in

To find:

The area of the regular polygon.

Solution:

Number of sides (n) = 6

Let us find the apothem using formula:

$$a=\frac{s}{2 \tan \left(\frac{180^\circ}{n}\right)}$

where s is side length and n is number of sides.

$$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}$

$$a=\frac{6}{ \tan (30^\circ)}$

$$a=\frac{6}{ \frac{1}{\sqrt{3} }}$

$$a=6\sqrt{3}$

Area of the regular polygon:

$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$

$$A=\frac{1}{2}(6 \times 12)(6\sqrt{3} )$

$$A=\frac{1}{2}(72)(6\sqrt{3} )$

$A=216 \sqrt{3}$

$A=374.1$ in²

The area of the regular polygon is 374.1 in².

4 0

3 years ago

Matt walked 1 mile in 15 minutes. At this rate, how many miles would he walk in 2 hours?

Aleonysh [2.5K]

I think the answer is 8

3 0

3 years ago

Please show work i rlly need this :)

makvit [3.9K]

Answer:

10/16 (written as a fraction)

Step-by-step explanation:

Starting point

-(-2x+1)=9-14x

Solve the minus sign

2x-1=9-14x

Swap the Xs and the numbers, changing sign

2x+14x=9+1

Do calculations

16x=10

Result

x=10/16

4 0

3 years ago

Read 2 more answers