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3 years ago

sean sold 4 more boxes of candy for the school fundraiser than Chris. The sum of the boxes that they sold was 22

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

5 0

If it was asking for the amount that Chris made, the answer would be 18.

Hope this helps!<3

Sveta_85 [38]3 years ago

3 0

Set up an equation.

x+x+4=22

the varibles x are the unknown number of boxes. the first x is Chris amount and the second is Seans amount.

Isolate the variable:

x+x+4=22

2x+4=22

2x=18

x=9

Chris has 9 boxes.

Add 4 to the variable to get Seans amount:

9+4=13

Sean has 13 boxes

To check your answer add the results together to get the correct sum.

9+13=22

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1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.

frosja888 [35]

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. $m = -\frac{23350}{13}$

c. $y = -\frac{23350}{13}x + 23350$

Step-by-step explanation:

Given

$Years = 13$

$Total\ depreciation = \$23350$

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

$m = \frac{23350}{13}$

Because it is depreciation, it means the slope represents a deduction.

So,

$m = -\frac{23350}{13}$

Solving (c): The straight line equation

The general format of an equation is:

$y = mx + b$

Where

$m = slope$

$b = y\ intercept$

In (a), we have that:

$y\ intercept = 23350$

In (b), we have that:

$Slope\ (m) = -\frac{23350}{13}$

Substitute these values in $y = mx + b$

$y = -\frac{23350}{13}x + 23350$

<em>Hence, the depreciation equation is: </em> $y = -\frac{23350}{13}x + 23350$ <em></em>

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3 years ago

Find the value of y. Round your answer to the nearest tenth.

ss7ja [257]

I think its supposed to be divide so i think C. would be the answer

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3 years ago

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Rectangle ABCD has vertices at (-7,-2); (1, -2); (1, -8); and (-7, -8) respectively. If GHJK is a similar rectangle where G(2, 5

Minchanka [31]

Answer:

J (6,2) K (2,2)

Step-by-step explanation:

Now distance of AB = [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 8 units

CB = [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 6 units by using same formula

Now AB/CB must equal to GH/HJ as rectangles are similar

GH = [(y2-y1)^2 + (x2-x1)^2]^(1/2)

= 4 units

8/6 = 4/HJ

So,

HJ = 3 units

Now if we see the coordinates given carefully, it is obvious that two perpendicular lines lie perfectly parallel to x and y coordinates in rectangle ABCD. A is (-7,-2) and B is (1,-2) which means distance along y-axis doesn't change. Similarly for C (1,-8) and D (-7,-8), one can see that distance between y-axis doesn't change. So lines AB and CD of rectangle are parallel with x and AD and BC are parallel with y-axis.

In rectangle GHJK one can see that in given coordinates, G(2,5) and H(6,5), y coordinate is same so it is parallel to x axis. Now, HJ is perpendicular to GH so it must be parallel to y axis. It means if we know the lengths of sides we can easily determine unknown coordinates by simple addition and subtraction.

So, we know HJ = 3 units

J is (6,2) since HJ is parallel to y axis so distance on x axis will remain unchanged and length of line HJ will effect distance of y axis.

Similarly K is (2,2) for the same reason.

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3 years ago

Please help (-8) ^{-4}

katovenus [111]

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3 years ago

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Find the real solution(s) of the equation 1/6x^3 = -36

ratelena [41]

Answer:

Below.

Step-by-step explanation:

1/6x^3 = -36

Multiply both sides by 6:

x^3 = -216

x = ∛(-216)

= -6.

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