List the integer solutions of: -3 < 2e ≤ 8.

Answer:

400 = (x - 10)²

x² -20x -300 = 0

x = 30 and x = -10

Length side of the garden = 20 feet

Step-by-step explanation:

Given:

Area of square garden = 400 square feet

Length side of the garden = (x - 10) feet

Find:

Length side of the garden

Computation:

Area of square = side²

Area of square garden = Length side of the garden²

400 = (x - 10)²

400 = x² -20x + 100

x² -20x -300 = 0

x² -30x  + 10x -300 = 0

x(x - 30) + 10(x - 30) = 0

(x - 30)(x + 10) = 0

So,

x = 30 and x = -10

Use x = 30 positive number

Length side of the garden = (x - 10) feet

Length side of the garden = (30 - 10) feet

Length side of the garden = 20 feet

Answer:

yes, i think it is

Step-by-step explanation:

Answer:

Yes...your right...but no...its 28 degrees.

Step-by-step explanation:

So bascially, angle C is 90 degrees. So is angle D.

We know A is 28 degrees.

We know a tiangle is 180 degrees.

We dont know the degree of C in the first trinagle or the secodn triangle, but again, we know the total degrees of C is 90.

To find the missing angle, we must find what C is first.

So, we know we can subtract 90 from 180 to get 90. Since there is a 90 degree angle in the first triangle.

Next we can subtract 28, since we know that is the measure of angle A.

This gets us 62.

Now subtract 62 from the 90 degrees of angle C. THis will find us its angle in the second traingle.

This gets us 28.

This is our missing number.

So you were wrong in the sense that you solved for the wrong angle y, but you did get the right answer:

Since we know that a triangle is 180, and one of these is a right angle, there is 90 degrees.

If we subtracrt the 28 we got just now, we would get 62, which is angle B, or DBC.

However, the 28 is angle C, or DCB.

So your answer is actually 28, not 62.

Hope this helps!

Answer:

Interest amount = 239400

Step-by-step explanation:

Below is the calculation of interest amount:

Given the loan amount or present value = 630000

Time period  = 48 months or 4 years

Interest rate give = 9.5%

Total amount = P ( 1 + rt)

P = 630000

r = 9.5%

t = 4 years

Total amount = 630000 ( 1 + 9.5% x 4)

Total amount = 869,400

Interest amount = 869400 - 630000

Interest amount = 239400

Answer:

5/18 0r 27.77%

Step-by-step explanation:

I am assuming both are six-sided and have numbers 1-6 on each of the six sides. There are 36 possible roll combinations. Of the 36, four result in 9 and six result in 7. Therefore there is a 10/36 chance of rolling a 7 or a 9. That can be simplified however by dividing by two on both numbers. That equals 5/18. As a percent you would divide 5 by 18 and get 0.2777. After that you multiply 0.2777 by 100 to get 27.77%.

Answer:

The amount with which she should increase the length and the with of the sandbox is 2 feet each

Step-by-step explanation:

The dimensions of Melissa's rectangular box are;

Width of the box = 4 feet

Length of the box = 8 feet

The total area of the new sandbox, A = 60 square feet

Let 'x' represent the amount by which she increases the width and lengths of sides that not against the fence, we have;

The area of the new sandbox, A = The new length × The new width

A = 60 ft.²

The new length = 8 + x

The new width = 4 + x

∴ A = 60 = (8 + x) × (4 + x) = x² + 12·x + 32

60 = x² + 12·x + 32

60 - 60 = 0 = x² + 12·x + 32 - 60

∴ x² + 12·x - 28 = 0

(x + 14)·(x - 2) = 0

x = -14 or x = 2

Therefore, the amount she can increase the width and lengths of sides that not against the fence to have make a new sandbox with an area of 60 ft.² is, x = 2 feet

The amount of increase of the length and the width of the sandbox, x = 2 feet each.

Answer:

382 ft³ (3 s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{ 3}\pi {r}^{3} }[/tex]

Radius= diameter ÷2

Rdaius of sphere

= 9 ÷2

= 4.5 ft

Volume of sphere

[tex] = \frac{4}{3} (\pi)(4.5)^{3} [/tex]

= 382 ft³ (3 s.f.)

Answer:

38

Step-by-step explanation:

Pemdas

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A =  Addition

S = Subtraction

1/2 + 1/3 + 1/4 - x = - 2

6/12 + 4/12 + 3/12 - x = - 2

6 + 4 + 3 / 12 - x = - 2

13/12 - x = - 2

x = 13/12 + 2

x = 13/12 + 24/12

x = 37/12 Or x = 3 1/12

Answer:

x = 37/12 Or x = 3 1/12

Step-by-step explanation:

1/2 + 1/3 + 1/4 - x = - 2

6/12 + 4/12 + 3/12 - x = - 2

6 + 4 + 3 / 12 - x = - 2

13/12 - x = - 2

x = 13/12 + 2

x = 13/12 + 24/12

x = 37/12 Or x = 3 1/12

Answer:

its do9ne

Step-by-step explanation:

Answer:

its the one next to the yellow one. hope it helps.

Step-by-step explanation:

Answer:

45+13−19+163(3)⋅\−21.5   They also have a pdf if you need it

unit 6-10 answer key.pdf

Step-by-step explanation:

Answer:

6/7 > 1/2

1/3 < 1/2

Suki rode her bike a longer distance than Clarie

Step-by-step explanation:

Suki's distance = 6/7 miles

Compare with bechmark 1/2

6/7 and 1/2

Make the denominators same

(6*2)/(7*2) and (1*7)/(2*7)

12/14 and 7/14

12/14 is greater than 7/14

12/14 > 7/14

Therefore, 6/7 > 1/2

Clarie distance = 1/3 miles

Compare with bechmark 1/2

1/3 and 1/2

Make the denominators same

(1*2)/(3*2) and (1*3)/(2*3)

2/6 and 3/6

2/6 is less than 3/6

2/6 < 3/6

Therefore,

1/3 < 1/2

Compare Suki's distance with Clarie

compare 6/7 and 1/3

Make the denominators same

(6 * 3)/(7 * 3) and (1 * 7)/(3 * 7)

18/21 and 7/21

18/21 > 7/21

Suki rode her bike a longer distance than Clarie

Answer:

The answer is A

Step-by-step explanation:

Well, there is an actual way of doing it but I forgot how to do it, my calculator got A so yeah, hope that helps

Answer:

donknow

Step-by-step explanation:

Answer:

16^¼=2

Step-by-step explanation:

16^¼=⁴√16

so, 2⁴=16

so it's 2,

verification

2×2×2×2=16

Answer:

2

Step-by-step explanation:

Hi there!

[tex]\large\boxed{22^o}[/tex]

Find m∠GJK by finding the value of its complementary angle and subtracting from 90°.

Using the Alternate Interior Angle theorem:

m∠HJI = m∠JHG, so:

7x - 16 = 5x + 8

Solve for x:

2x - 16 = 8

2x = 24

x = 12

Substitute in this value of x to solve for m∠HJI:

7(12) - 16 = 84 - 16 = 68°

Thus:

m∠GJH = 90 - 68° = 22°

Answer:

[tex]p = -2[/tex]

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases, then solve for  p .

Answer:

g(x)=2x-1+7 or g(x)=2x+6

Step-by-step explanation:

Its the opposite when your subtracting and adding

Step-by-step explanation:

We are supposed to write the equation in slope intercept form of a line . Firstly we know the slope intercept form as ,

[tex]\implies\sf y = mx + c [/tex]

Where ,

Now by question , the given data is ,

On substituting the respective values we have ,

[tex]\sf\implies y = 3 * x + (-3)\\\\\sf\implies\red{ y = 3x - 3 } [/tex]

Hence the slope intercept form is y = 3x - 3 .

Answer:

A x=1.5y i think

Step-by-step explanation:

Answer:

the answer would be 20cm^2 i took a quiz.

Step-by-step explanation:

Answer:

12 inches

Step-by-step explanation:

5 + 5 = 10

34 - 10 = 24

24 ÷ 2 = 12

Therefore, the answer is 12 inches.

Answer:

3

Step-by-step explanation:

[tex]\pi V = \pi r^{2} h\\75\pi = \pi 5^{2} h\\75\pi =25\pi *h\\h = 3[/tex]

Step-by-step explanation:

would you still like me to help you with this question

Answer:

0.3

Step-by-step explanation:

Answer:

95.40

Step-by-step explanation:

120x.13=15.60. discount

120-15.60=104.40 sales price

104.40x.15=15.66 additional discount

104.40-15.66=88.74 additional sales price

88.74x.075=6.66 sales tax

88.74+6.66=95.40 total price