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3 years ago

Henry charged $847 to his credit card . The card the cost of his next purchase caused him to go over his credit limit of $1000.

Mathematics

1 answer:

Mama L [17]3 years ago

5 0

Answer:

(x-2 )( x + 1) = (-2 - c)

Step-by-step explanation:

C= - 1 = -x

We cna either multiply x and c until we find HCM before imputing x value and c value that is unknown variable.

To find that we can say x = the average of 1000 + $800 = $900 and work out the difference between the two.

We can use a new variable for half that difference to ensure we add or subtract to find the value 1000 or -1000 again.

So that $1000 - $847 = $153 half this difference is 2/3y so that 4/3 = $153 and 1/3 = 33.333 as we are working with 3 numbers then 1/3 or 2/3 for example could show a debit;

Balance of each 1000 would look like

2/3y + x + c

= c + xy - y1/3

to show smaller amounts for the last 2 debits.

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Angles A and B are complementary. Two separate angles are shown. Angle A is (x + 22) degrees. Angle B is x degrees. What is the

HACTEHA [7]

Answer: 34

Step-by-step explanation:

(x+22) + x = 90

8 0

3 years ago

Read 2 more answers

Solve the following word problem: Kay made 5 less phone calls today than Stephanie. If together they made 21 calls, how many cal

professor190 [17]

Answer:
Kay made 8 phone calls
Stephanie made 13 phone calls

Explanation:
Assume the number of phone calls that Stephanie made is x.
We are given that:
Kay made 5 phone calls less than Stephanie.
This means that:
Kay made x-5 phone calls

We know that the total number of phones is 21.
This means that:
21 = x + x - 5

Now we solve for x as follows:
21 = x + x - 5
21 = 2x - 5
2x = 26
x = 26/2
x = 13

This means that:
Stephanie made x = 13 phone calls
Kay made x - 5 = 13 - 5 = 8 phone calls

Hope this helps :)

5 0

3 years ago

The triangle T has vertices at (-2, 1), (2, 1) and (0,-1). (It might be an idea to

Firdavs [7]

Rewrite the boundary lines y = -1 - x and y = x - 1 as functions of y :

y = -1 - x ==> x = -1 - y

y = x - 1 ==> x = 1 + y

So if we let x range between these two lines, we need to let y vary between the point where these lines intersect, and the line y = 1.

This means the area is given by the integral,

$\displaystyle\iint_T\mathrm dA=\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy$

The integral with respect to x is trivial:

$\displaystyle\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy=\int_{-1}^1x\bigg|_{-1-y}^{1+y}\,\mathrm dy=\int_{-1}^1(1+y)-(-1-y)\,\mathrm dy=2\int_{-1}^1(1+y)\,\mathrm dy$

For the remaining integral, integrate term-by-term to get

$\displaystyle2\int_{-1}^1(1+y)\,\mathrm dy=2\left(y+\frac{y^2}2\right)\bigg|_{-1}^1=2\left(1+\frac12\right)-2\left(-1+\frac12\right)=\boxed{4}$

Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line y = 1 and (0, -1)), so its area is 1/2*4*2 = 4.

6 0

3 years ago

One side of a rectangle is 20 cm larger than the other side. If you make the smaller side two times larger and the larger side t

grandymaker [24]

Let L be the length
Let w be the width
Let p be the perimeter
L+w+L+w=p
L=w+20
3L+2w+3L+2w=240
Sub the first equation in for L in the second equation and solve for w
3(w+20)+2w+3(w+20)+2w=240
3w+60+2w+3w+60+2w=240
10w+120=240
10w=240-120
10w=120
W=120/10
W=12
Sub w into the first equation and solve for L
L=w+20
L=12+20
L=32
Hope this helps!

3 0

3 years ago

Please help me on my problem! show me work (if you can, I mean not trying to sound rude)

faltersainse [42]

Divide 436.8 by 62.08

7 0

3 years ago