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3 years ago

Write an expression to represent this situation: seven less than the product of four and a number please help me

1 answer:

Studentka2010 [4]3 years ago

3 0

4x-7: "seven less than" means you're going to subtract it from the upcoming value, which is "the product of four and a number". "a number" refers to an unknown variable, which I chose to be x. So put it all together and you get 4x-7

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A triangle's height is 10 feet more than its base. If the area of the triangle is 100 square feet, use factoring to find its dim

stiks02 [169]

The base length of the triangle is 10 ft. and the height of the triangle is 20ft.

Step-by-step explanation:

Height = base + 10

Area = 100 square ft

Area of a triangle= (1/2) (b) (h)

100 = (1/2) (b) (b + 10)

200 = b(b) + 10b

b(b) + 10b - 200 = 0

b(b) + 20b - 10b - 200 = 0

b ( b + 20) -10(b + 20) = 0

(b-10) (b+20) =0

b = 10 (or) b = -20

Here b is the length and cannot be negative.

So, b = 10ft

h = b + 10

h = 10 + 10

h = 20 ft.

The base length of the triangle is 10 ft. and the height of the triangle is 20ft.

6 0

3 years ago

Jaquez earns money by doing yard work. It takes her an average of 3 hours to pull weeds and an average of 2.5 hours to mow the l

vodomira [7]

Answer:

Step-by-step explanation:

Let x = number of hours to pull weed in a day

Let y = number of hours to now lawn in a day

It takes her an average of 3 hours to pull weeds and an average of 2.5 hours to mow the lawn. She can work no more than 8 hours a day.

This means

3x + 2.5y is lesser than/ equal to 8

She charges $50 to weed and $65 to mow the lawn.

This means she charges

50x +65y

She needs to cover her expenses of $120 to make a profit. This means she needs to earn an amount greater than or equal to $120

50x + 65y greater than or equal to 120

4 0

4 years ago

Explain why the product of 2 times any number is an even number

leonid [27]

If you add 2 odd numbers together eg. 5+5 it would become an even number eg. 10.

If you add 2 even numbers together eg. 60+60 it would stay as an even number eg.120.

The product is basically the same thing as that but instead of adding the same number twice, you multiplying the number with 2 which is the same as adding two of the same numbers.

7 0

3 years ago

Lucy had math and reading homework tonight. Lucy can solve each math problem in 5 minutes and she can read each page in 2.5 minu

drek231 [11]

Answer:

$x=18,y=6$ , graph is there for reference.