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Svetllana [295]
2 years ago
5

Which number line best shows how to solve −8 − (−2)? (5 points)

Mathematics
1 answer:
aliya0001 [1]2 years ago
6 0

A number line from negative 10 to 10 is shown, with numbers labelled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 6. Therefore, option C is the correct answer.

<h3>What is a number line?</h3>

A number line is a straight line with numbers placed at equal intervals. Positive numbers are placed to the right of 0 and negative numbers are placed to the left of zero.

When a number (x) is added x unit is moved to the right while if a number (x) is subtracted x unit is moved to the left.

Now, solve -8 - (-2)

= -8 + 2=-6

So, a number line from negative 10 to 10 with numbers labelled at intervals of 2. An arrow is shown from point 0 to negative 8 then since 2 is added, we move 2 units right from negative 8 to negative 6.

Therefore, option C is the correct answer.

To learn more about the number line visit:

brainly.com/question/13189025.

#SPJ1

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14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.
Pavel [41]

Answer:

Length  =25 inches

Width = 15 inches

Step-by-step explanation:

Let l = length of rectangle, w = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

lw = 375

2l+2w=80

So:

l+w = 80\div2

=40

l=40-w

Now, we can use substitution to find the value of w:

lw = 375

(40-w)w = 375

40w-w^2 = 375

375+w^2-40w = 0 (Quadratic equation)

(w-15)(w-25) = 0

∴ w = 15, 25

We can use substitution again to find the value of l

lw = 375

l=375\div w

=25,15

∵ Length usually refers to the longer side of a rectangle, ∴ length =25 inches and width =15 inches.

Hope this helps :)

8 0
3 years ago
At the neighborhood block party, Camille served 1/2 of a gallon of hot chocolate and 1/3 of a gallon of apple cider. How much mo
Oksi-84 [34.3K]

Answer:

1/6 more hot chocolate than apple cider.

Step-by-step explanation:

In order to complete this, you first have to make both numbers have the same denominator.

2: 2, 4, 6

3: 3, 6

<em>The </em><em>new </em><em>denominator </em><em>is </em><em>6</em><em>.</em>

1/2 - 3/6

1/3 - 2/6

These are the new fractions after making the numbers have common denominators.

3/6 - 2/6 = 1/6

Camille serves <em>1</em><em>/</em><em>6</em><em> </em>more hot chocolate than apple cider.

7 0
3 years ago
Through: (-5, -5), slope=2/5
kakasveta [241]

For this case we have that by definition, the equation of a line in the slope-intersection form is:

y = mx + b

Where:

m: It is the slope

b: It is the cut point with the y axis

The slope is: m = \frac {2} {5}

Thus, the equation is of the form:

y = \frac {2} {5} x + b

We substitute the given point and find "b":

-5 = \frac {2} {5} (- 5) + b\\-5 = -2 + b\\-5 + 2 = b\\b = -3

Finally, the equation is:

y = \frac {2} {5} x-3

Answer:

y = \frac {2} {5} x-3

4 0
3 years ago
50 POINTS!!!!! HELP Soybean meal is 16% protein; cornmeal is 8% protein.How many pounds of each should be mixed together in orde
tia_tia [17]
The first thing we are going to do for this case is define variables.
 We have then:
 x: Amount of soybean meal
 320 - x: quantity of cornmeal
 We now write the equation that models the problem:
 0.16x + 0.08 (320-x) = 0.09 (320)&#10;
 Rewriting we have:
 0.16x + 25.6 - 0.08x = 28.8&#10;
 From here, we clear x:
 0.16x - 0.08x = 28.8 - 25.6&#10;&#10;0.08x = 3.2&#10;&#10;x = 3.2 / 0.08&#10;&#10;x = 40
 Then, the amount of Soybean meal is:
 x = 40 lb&#10;
 The amount of cornmeal is:
 320 - x = 320 - 40 = 280 lb&#10;
 Answer:
 
cornmeal: 280 lb
 
Soybean: 40 lb.
4 0
3 years ago
Gross worldwide sales in Mattel's Wheels (Hot Wheels) brand was $885.1 million in 2016 and $847 million in 2017. Calculate the a
attashe74 [19]

Answer:

Step-by-step explanation:

Absolute Change = final change in 2017 sales  - initial change in 2016 sales  =  $847,000,000 - $885,100,000 = 38,100,000

Relative Change = (Final - Initial change)/initial change x  100% = 38,100,000/885,100,00 x 100% = 381/8851 x 100% = 0.0430459835 x 100% = 4.30%

6 0
3 years ago
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