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2 years ago

Explain how to subtract two integers in your own words

1 answer:

8 0

To subtract integers, change the sign on the integer that is to be subtracted.
If both signs are positive, the answer will be positive. Example: 14 - (-6) = 14 + 6 = 20.
If both signs are negative, the answer will be negative. ...
If the signs are different subtract the smaller absolute value from the larger absolute value.

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Mr. Nelson sold 14 bags of popcorn and 21 bottles of water in today. At this rate, how many more bottles of water than bags of p

e-lub [12.9K]

Answer:

He will sell 70 bags of popcorn and 105 bottles

Step-by-step explanation:

In 1 day he sells 14 bags of popcorn and 21 bottles

Multiply 14 by 5 which is 70

then multiply the bottles which is 21 by 5 days

105

He will sell 70 bags of popcorn and 105 bottles

6 0

2 years ago

Read 2 more answers

In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __,

aivan3 [116]

Answer:

Case 1:

$AB = 30$

$BC = 50$

Case 2:

$AB = 15.9$

$BC = 36.7$

Case 3: Not possible

Step-by-step explanation:

Given

See attachment for illustration of each case

Required

Find AB and BC

Case 1:

Using Pythagoras theorem in ANB, we have:

$AB^2 = AN^2 + BN^2$

This gives:

$AB^2 = 24^2 + 18^2$

$AB^2 = 576 + 324$

$AB^2 = 900$

Take square roots of both sides

$AB = \sqrt{900$

$AB = 30$

To calculate BC, we consider ANC, where:

$AC^2 = AN^2 + NC^2$

$40^2 = 24^2 + NC^2$

$1600 = 576 + NC^2$

Collect like terms

$NC^2 = 1600 - 576$

$NC^2 = 1024$

Take square roots

$NC = \sqrt{1024$

$NC = 32$

So:

$BC = NC + BN$

$BC = 32 + 18$

$BC = 50$

Case 2:

Using Pythagoras theorem in ANB, we have:

$AN^2 = AB^2 + BN^2$

This gives:

$24^2 = AB^2 + 18^2$

$576 = AB^2 + 324$

Collect like terms

$AB^2 = 576 - 324$

$AB^2 = 252$

Take square roots of both sides

$AB = \sqrt{252$

$AB = 15.9$

To calculate BC, we consider ABC, where:

$AC^2 = AB^2 + BC^2$

$40^2 = 252 + BC^2$

$1600 = 252 + BC^2$

Collect like terms

$BC^2 = 1600 - 252$

$BC^2 = 1348$

Take square roots

$BC = \sqrt{1348$

$BC = 36.7$

Case 3:

This is not possible because in ANC

The hypotenuse AN (24) is less than AC (40)

3 0

2 years ago

What is the value of x in the equation 150/84 = 25/x

Fofino [41]

Answer:

x = 14

Step-by-step explanation:

$\frac{150}{84} = \frac{25}{x} \\ \\ 150 \times x = 84 \times 25 \\ \\ x = \frac{84 \times 25}{150} \\ \\ x = \frac{84}{6} \\ \\ x = 14 \\$

5 0

3 years ago

Read 2 more answers

} A rectangle has an area of 25 square feet. A similar rectangle has an area of 200 square feet. What is ratio of the areas of t

ValentinkaMS [17]

Answer:

The ratio of smaller rectangle to larger is 1 : 8.

Step-by-step explanation:

Given that:

Area of smaller rectangle = 25 square feet

Area of larger rectangle = 200 square feet

Ratio of areas of these similar rectangles;

Smaller rectangle : Larger rectangle

25 : 200

1 : 8

Hence,

The ratio of smaller rectangle to larger is 1 : 8.

7 0

3 years ago

a line intercects the points (-22,-14) and (-18,-12). what is the slope intercept equation for this line?

Nadya [2.5K]

Answer:

y = $\frac{1}{2}$ x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 22, - 14) and (x₂, y₂ ) = (- 18, - 12)

m = $\frac{-12+14}{-18+22}$ = $\frac{2}{4}$ = $\frac{1}{2}$

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (- 22, - 14), then

- 14 = - 11 + c ⇒ c = - 14 + 11 = - 3

y = $\frac{1}{2}$ x - 3 ← in slope- intercept form

8 0

2 years ago