Isaac received 125 for his birthday. He spent 65 on a new video game. How much money, x, how much does issac have

Answer:

The side lengths are 10 by 7

Step-by-step explanation:

The area of a rectangle is

A = l*w

70 = (x - 11)(x - 8)

FOIL

70 = x^2 -8x-11x+88

Combine like terms

70 = x^2 -19x +88

Subtract 70 from each side

0 = x^2 -19x +88-70

0 = x^2 -19x+18

Factor

What number multiplies to 18 and adds to -19

-18*-1 =18

-18-1 = -19

0=(x-18)(x-1)

Using the zero product property

x-18=0   x-1=0

x=18   x=1

But x cannot x=1 because then the side lengths would be negative

x-18 = 10

x-11 = 7

The side lengths are 10 by 7

Answer:

DH

Step-by-step explanation:

Answer:

a, b, e

Step-by-step explanation:

It is proportional since it goes at the same rate on the x and y

It has a rate of 8.5 since 17/2=8.5

at the rate of 8.5 y per one x then 4 8.5's would make 34

Answer:

B. 3.5 feet

Step-by-step explanation:

The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.

Given the following data;

Hypotenuse = 12.5 ft

Opposite = 12 ft

To find the adjacent side, we would use the Pythagorean theorem;

Hypotenuse² = opposite² + adjacent²

Substituting into the formula, we have;

12.5² = 12² + adjacent²

156.25 = 144 + adjacent²

Adjacent² = 156.25 - 144

Adjacent² = 12.25

Taking the square root of both sides, we have;

Adjacent = 3.5 feet.

Therefore, the distance of the ladder from the house is 3.5 feet.

Answer:

X=2

Step-by-step explanation:

first combine like terms

subtract the x

add 5

lastly divide by 7

The unbiased estimator

Answer:

r is 14÷2=7in

r is 7

area of circle is pie R square

22÷7×7×7

154 in

since area = circumference

154=154

hope it helps

Answer:

Option C. Rational numbers can be written as a fraction where denominator is not zero.

Answer:

B

Step-by-step explanation:

Hope this helps D:

Answer:

L = 7.14

Step-by-step explanation:

using the Pythagorean theorem:

L² = 10² - 7²

L² = 100 - 49= 51

L = 7.14

Answer:

7.14

Step-by-step explanation:

to answer this you need to use pythagoras theorem and that is A²+B²=c²

in this case C²-A²=B²

10²=100

7²=49

100-49=51

then you need to square root 51 which gives your answer 7.14

Answer:

3

Step-by-step explanation:

im in 8th grade this is what were doing right now

Answer:

8 CDs

Step-by-step explanation:

Veronica started with 50 CDs

After giving 8 CDs to Leslie, Veronica now has 42 CDs

Now Veronica made 6 equal sets

Hence, 42/6 = 8

So there are 8 CDs in each set.

2121, 3625,6540 and 8750 is the answer.

hope it helps

Answer:

10,560

Step-by-step explanation:

Super easy

Brainliest please :)

Answer:

5=10(0)+5

Step-by-step explanation:

1.write the equation y2-y1/x2-x1

2.fill in your coordinates

3.substitute and there is your slope (m)

4.write out y=mx+b

5.fill in y (5) and x (0) with the first coordinates and add 10 to m

6.sunsitute till you've solved b

7.there ya go (:

Answer:

1) (x + 12)²+(y+6)²= 28

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√28

h=-12

k=-6

;.centre=(-12,-6)

radius =√28 units

2) x²+(y+7)²=15

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√15

h=0

k=-7

;.centre=(0,-7)

radius=√15 units

3) (x + 4)²+(y - 1)² = 4

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√4=2units

h=-4

k=1

;.centre=(-4,1)

radius=√2units

4) (x+3)²+(y-1)²= 8

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√8=2√2units

h=-3

k=1

;.centre=(-3,1)

radius=2√2units

Answer: x=9

Step-by-step explanation:

2x+10=28

2x=18

x=9

Answer:

9

Step-by-step explanation:

because 2 times 9 is 18 then plus 10 equals 28

Answer:

[tex]g = \frac{ x - 2}{3} [/tex]

Answer: g=x-2/3

Step-by-step explanation:

When it says make g the subject it means make it on it's own in front of the '=' sign.

To make g the subject, you have to do the inverse to 'undo' the equation.

So, instead of adding 2, you have to take away 2 from x. This would now look like this:

x-2=3g

In algebra, when a number is next to a letter it means times. So instead of multiplying g by 3, you would have to divide x-2 by 3. This would now look like this:

x-2/3=g

Hope this helps :)

Answer:  x = 249

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

9w = 63

9w/9 = 63/9

w = 7

Answer:

I'm pretty sure it's 7. I hope that helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = [tex]\frac{r_1}{r_2}[/tex] [[tex]r_1[/tex] and [tex]r_2[/tex] are the radii of two circles]

2). Area scale factor = [tex]\frac{(r_1)^2}{(r_2)^2}[/tex]

3). Volume scale factor = [tex]\frac{(r_1)^3}{(r_2)^3}[/tex]

Volume scale factor Or Volume ratio = [tex]\frac{V_A}{V_B}[/tex]

                         [tex]\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}[/tex]

                         [tex]\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }[/tex]

                         [tex]\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}[/tex]

                        [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]

Therefore, scale factor = [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]

                                      ≈ 6 : 7

Area scale factor Or area ratio = [tex](\frac{r_1}{r_2})^2=(\frac{6}{7})^2[/tex]

                                                   = [tex]\frac{36}{49}[/tex]

                                                   ≈ 36 : 49

Volume scale factor or Volume ratio = [tex]\frac{648}{1029}[/tex]

                                                             = [tex]\frac{216}{343}[/tex]

                                                             ≈ 216 : 343

Answer: 41, think of PEMDAS while reviewing. Good luck!

Step-by-step explanation:

80 + 6(-5) + (-9)

80 + (-30) + (-9)

80 + (-39)

= 41

Answer:

∠K = 78.75°

Step-by-step explanation:

since complimentary, ∠K + ∠L = 90°

K = 7L

substitute for K:

7L + L = 90

8L = 90

∠L = 11.25°

∠K = 90° - 11.25° = 78.75°

Answer:

3 both sides

Step-by-step explanation:

Answer:

Step-by-step explanation:

14ft(11ft)(b/22ft^2)=7b

She will need 7 bags of fertilizer.

Answer:

51

Step-by-step explanation:

24 ^2+45^2=x^2

=51

Answer:

Step-by-step explanation:

Answer:

The consecutive even integers are

n

n + 2

n(n + 2) = 120

n2 + 2n - 120 = 0

(n + 12)(n - 10) = 0

n = -12 or 10

Step-by-step explanation:

There are 2 solutions:

n = -12

n + 2 = -10

and

n = 10

n + 2 = 12