Steven wants to buy a new video game. He needs at least $48. He has $26.00 saved. His brother said he would pay him $5 an hour to help him with his
homework. Which inequality can be used to determine the amount of hours, h, Steven must help his brother so that he has enough money for video game?

48 - 26h > 5
В.
5h + 26 2 48
С
26h + 5 2 48
D
26 +5h48

50d^2 - 98e^2

Factor out 2.

2(25d^2 - 49e^2)

We now factor the difference of two perfect squares within the parentheses.

2(5d - 7e)(5d + 7e)

This is as far as we can factor.

Done!

The factor of the expression into an equivalent form 50d²- 98e² would be;  2(5d - 7e)(5d + 7e)

Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

We are given that expression is given that 50d²- 98e².

We have to Factorise .

Factor out 2.

2(25d² - 49e²)

We have to factor the difference of two perfect squares within the parentheses.

2(5d - 7e)(5d + 7e)

Learn more about factorization here:

https://brainly.com/question/10454590

#SPJ2

Step-by-step explanation:

5.slope=0

6.equation=y=5

7.slope=undefined(no Slope)

8.equation=x=-1

Answer:

The girls worked together on their art project for 1 hour and 50 minutes.

Step-by-step explanation:

In order to find the answer you have to find the difference between the time they began working and the tine they finished working. You have to subtract 3:25 from 5:15.

Since 25 minutes on the time they began working is higher than 15 minutes, you have to subtract 1 from the time they finished working that is 5 hours:

5-1=4

Then, you have to increase the minutes on the time they finished working by 60:

15+60=75

Now, you have to subtract the minutes which would be 25 from 75:

75-25=50

Finally, you have to subtract the hours which would be 4 minus 3:

4-3=1

The result would be 1 hour and 50 minutes.

According to this, the answer is that the girls worked together on their art project for 1 hour and 50 minutes.

Answer:

[tex] x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} [/tex]   or   [tex] x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} [/tex]

Step-by-step explanation:

[tex] 5x^2 - 2 = 4x [/tex]

[tex] 5x^2 - 4x - 2 = 0 [/tex]

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)} [/tex]

[tex] x = \dfrac{4 \pm \sqrt{16 + 40}}{10} [/tex]

[tex] x = \dfrac{4 \pm 2\sqrt{14}}{10} [/tex]

[tex] x = \dfrac{2 \pm \sqrt{14}}{5} [/tex]

[tex] x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} [/tex]   or   [tex] x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} [/tex]

Answer:

Answer:

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

5

2

+

5

14

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

5

2

−

5

14

Step-by-step explanation:

5x^2 - 2 = 4x5x

2

−2=4x

5x^2 - 4x - 2 = 05x

2

−4x−2=0

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=

2a

−b±

b

2

−4ac

x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)}x=

2(5)

−(−4)±

(−4)

2

−4(5)(−2)

x = \dfrac{4 \pm \sqrt{16 + 40}}{10}x=

10

4±

16+40

x = \dfrac{4 \pm 2\sqrt{14}}{10}x=

10

4±2

14

x = \dfrac{2 \pm \sqrt{14}}{5}x=

5

2±

14

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

5

2

+

5

14

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

5

2

−

5

14

first answer is (c)

second answer is (a)

Answer:

42.21 ft^2

Step-by-step explanation:

The formula: A=1 /2b √ c2﹣b2

c=hypotenuse

b=base

Answer:

15+7=22

Step-by-step explanation:

Set up the equations.

Answer:

60

Step-by-step explanation:

stuffed animals = 3 x dolls eqn 1

video games = 15 + stuffed animals eqn 2

dolls = 15

replace for dolls in eqn 1

stuffed animals = 15 x 3 = 45

substitute for stuffed animals in eqn 2

45 + 15 = 60

Answer:

18

Step-by-step explanation:

The number you are getting the percent from is 450

Answer:

The slope is 4

Step-by-step explanation:

rise is 4, run is 1

4/1=4

Answer:

7 pencils

Step-by-step explanation:

Let x equal the number of pencils Monica buys and y equal the number of pens.

The expression would then be 2x + 7y ≤ 35. Plugging in 3 for y:

2x + 7(3) ≤35

2x +21 ≤ 35

2x ≤ 14

x≤ 7

Answer:

Circle

Step-by-step explanation:

A cross section of a cone sliced parallel to iits bases is a circle and a rectangle when sliced perpendicular to its bases.

Answer:

its a circle

Step-by-step explanation:

got this from Khan and micaelaamisial :)

Answer:

5 inches

Step-by-step explanation:

Since the length irl is 60 yards you should divide 60 by 3.

60/3=20

Then convert 1/4 to a decimal.

1/4=0.25

Finally multiply 20 and 0.25 to get the length of the park on the map.

20x0.25=5

your answer is Option F 5 inches

Answer:

UMMMM I don't know what happened with your account but thanks for the points

Answer:

$35,75

Step-by-step explanation:

55 . 35 / 100 = 19,25

55 - 19,25 = 35,75

Answer:2

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.

x = 5

I hope this helped :D

Answer:

x=5

Step-by-step explanation:

5x-5=x+15

-x     =-x

4x-5=15

    +5=+5

4/4x=20/4

x=5

Answer:

quantities or total number of observations

Step-by-step explanation:

Average also known as mean is a measure of central tendency. It is determined by adding the numbers together and dividing it by the total number

Average = sum of the numbers / total number

For example, there are 3 numbers 3 , 6, 9

Average = ( 3 + 6 + 9) / 3 = 18 / 3 = 6

Answer:

w=3

Step-by-step explanation:

7 + 3x - 1 = w(x + 2)

Solve for w

Distribute

7 + 3x - 1 = wx + 2w

Combine like terms

3x+6 = wx+2w

For this to have infinite terms

3x = wx   and 6 = 2w

3x = wx

Divide by x

3 =w  

and 6 = 2w

Divide by 2

6/2 = 2w/2

3 =w

When w = 3, there will be infinitely many solutions

Answer:  A rectangle has a length of 8 inches and a width of 5 inches. If its length is increased by 50% and - Brainly.com A rectangle has a length of 8 inches and a width of 5 inches. If its length is increased by 50% and its width is reduced by 25%, find the percent change in the area of the rectangle. What do you need to know? Rate! Rate!

Step-by-step explanation:

Answer: this equation couldn't be determined

Step-by-step explanation:

The solution couldn't be determined as all the variables are different (it should have at least two variables should be same to be added or subtracted)

Answer:

(3,0°)

Step-by-step explanation:

a p e x

Answer:

(3, 0 degrees) is the right answer

Step-by-step explanation:

Use tan(theta)=y/x for theta and

x^2+y^2= r^2 for the r value

Answer:

75

Step-by-step explanation:

[tex]5 \times 10 = 50[/tex]

[tex]5 \times 10 \div 2 = 25[/tex]

[tex]50 + 25 = 75[/tex]