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enot [183]
3 years ago
10

What is (3 + 12) - 3² + 8 · 2 ÷ 4 ? (please show how/ show work)

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

Answer:

10

Step-by-step explanation:

(3 + 12) - 3² + 8 · 2 ÷ 4

15 - 9 + 16 : 4

6 + 4

10

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A car starts with a dull tank of gas. After driving around 5he city, 1/7 of the gas has been used. With the rest of the gas in t
Sati [7]

Answer:

\frac{2}{7}

Step-by-step explanation:

Given:

A car starts with a dull tank of gas

1/7 of the gas has been used around the city.

With the rest of the gas in the car, the car can travel to and from Ottawa three times.

Question asked:

What fractions of a tank of gas does each complete trip to Ottawa use?

Solution:

Fuel used around the city = \frac{1}{7}

Remaining fuel after driving around the city = 1 - \frac{1}{7}

                                                                         =    \frac{7 - 1}{7}  = \frac{6}{7}

According to question:

As from the rest of the gas in the car that is \frac{6}{7}, the car can complete 3 trip to Ottawa  which means,

By unitary method:

The car can complete 3 trip by using = \frac{6}{7} tank of gas.

The car can complete 1 trip by using =  \frac{6}{7} \div 3

                                                             =\frac{6}{7} \times\frac{1}{3}

                                                             =  \frac{6}{21}

                                                             = \frac{2}{7} tank of gas

Thus, \frac{2}{7} tank of gas used for each complete trip to Ottawa.

5 0
3 years ago
Which of the following steps indicates the addition property of equality while solving the equation –1 – 6x = x – 15? Question 4
den301095 [7]

Answer:

B) -1-6 x +15 = x - 15 +15

Step-by-step explanation:

<u>Explanation</u>:-

Given equation is  –1 – 6 x = x – 15

<em>By addition property of equality </em>

<em>                        ⇒     - 1 - 6 x + 15 = x - 15 +15</em>

                      ⇒      - 6 x + 14  = x

subtracting 'x' on both sides ,we get

                       ⇒      - 6 x -x +14 =0

                        ⇒      - 7 x +14 =0

                         ⇒      -7 x = - 14

   Dividing '-7'  on both sides , we get

                                 x  = 2

<em>The solution of given equation is    x  = 2</em>

3 0
3 years ago
Last week, the price of cherries at the corner deli was $4.99 per pound. This week, cherries at the same deli are on sale at a 1
sergij07 [2.7K]

Answer:

The price for 3.75 pounds of cherries is $17.775.

Step-by-step explanation:

The price las week was $ 4.99 and it got a discount of 15% for this week, this means that the price for this week is 100% of the one prior minus 15%, therefore it is 85% of the last price. We need to calculate the price per pound with this discount as shown below:

\text{this week} = \text{last week}*\frac{95}{100}\\\\\text{this week} = 4.99*0.95 = 4.74 \text{ per pound}\\

Since the price is $4.74 per pound and we want to buy 3.75 pounds, then the total amount we need to pay is:

\text{total amount} = 3.75*4.74 = 17.775

The price for 3.75 pounds of cherries is $17.775.

6 0
3 years ago
Math help please =)
a_sh-v [17]
2x - 3 < 11 or 8x -10 < 82:  <span>X < 23/2
<span>
Part 1</span>
</span>2x-3<11
Add 3 both sides
2x-3+3<11+3
Refine
2x<14
Divide by 2 on both sides
2x / 2    /   14 / 2
Refine
x < 7
<span>
Part 2</span>
8x-10<82
Add 10 to both sides
8x-10+10<82+10
Refine
8x<92
Divide by 8
8x / 8   /   92 / 8
Refine
x < 23 / 2
7 0
3 years ago
Choose which line represents the line of best fit.
Leona [35]

Answer:

Iine B

Step-by-step explanation:

This is because it has most of the data points on it and closer to it

3 0
3 years ago
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