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4 years ago

Find the consecutive integers who's sum is -33

1 answer:

6 0

-17,-16 because
lets say the first integer is x
Then the second integer is x+1
Let's make an equation
x+(x+1)=-33
2x+1=-33
Subtract 1 from both sides
2x=-34
Divide both sides by 2
x=-17
The first number is -17
The second number is -16

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Which of the following describes the situation below? The number of miles a car can run depends on the gallons of gasoline in th

S_A_V [24]

Answer: A. A relation that is a function.

Step-by-step explanation:

A relation is said to be a function if each input value is associated with one unique output value.

Here, Number of miles run by car is directly proportional to the quantity of gasoline.

Independent variable - quantity of gasoline.

Dependent variable - Number of miles

On assuming the condition of car as good, the number of miles a car can run highly depends on the gallons of gasoline in the tank .

As quantity of gasoline increases number of miles driven would also increases.

i.e. Number of miles driven is a function with respect to quantity of gasoline.

Hence, the given line best describe as : A relation that is afunction.

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3 years ago

Find the distance between the points (7,-6) and (-5,3). Write your answers as a whole number or a fully simplified radical expre

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Answer:

Step-by-step explanation:

Let index 1 refer to the first point, while index 2 refers to the second one.

The distance d:

d²=(x2-x1)²+(y2-y1)²=(-5-7)³+(3-(-6))²=

(-12)²+9²=144+81=225=15²

d=15

3 0

3 years ago

Rhonda had $300 to buy supplies for the animal shelter. She bought 8 bags of dog food and 11 leashes. Each bag of food cost $25.

Readme [11.4K]

Answer:

47.33

Step-by-step explanation:

Hey there! I'm happy to help!

We have 8 bags of dog food and each costs $25.19

8(25.19)=201.52

And we have 11 leashes each costing $4.65.

11(4.65)=51.15

We add these totals up.

201.52+51.15=252.67

We subtract this from 300 to see how much is left.

300-252.67=47.33

Rhonda had $47.33 left after her purchases.

Have a wonderful day! :D

3 0

3 years ago

Simplify 2x – 9y + 4x + 11y by combining like terms and then evaluate at x = -2<br> and y = 4.

Mashcka [7]

Step-by-step explanation:

= 2x - 9y + 4x + 11y

First of all combining like terms

= 2x + 4x - 9y + 11y

= 6x + 2y

Now putting values

= 6 (-2) + 2(4)

= - 12 + 8

= - 4

7 0

3 years ago

An actor invests some money at 7%, and $48000 and more than twotimes the amount of 9%. The total annual interest earned from the

forsale [732]

Answer:

At 7% $54,000

At 9% $156,000

Step-by-step explanation:

Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%

We know that:

7% = 0.07 & 9% = 0.09

So we can write the interest equation as follows:

0.07x + 0.09 (2x + 48000) = 17820

0.07x + 0.18x + 4320 = 17820

0.25x + 4320 = 17820

Subtracting 4320 from both sides of the equation we get:

0.25x = 17820 - 4320

0.25x = 13500

Dividing both sides of the equation by 0.25 we get:

x = 13500 / 0.25

x = $54,000 invested at 7%

2 x 54000 + 48000

= $156,000 invested at 9%

Hence the amount invested at 7% is $54,000.

& the amount invested at 9% is $156,000.

5 0

4 years ago