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3 years ago

6

Sandy spent half of her allowance going to the movies. She washed the family car and earned 9 dollars. What is her weekly allowa

nce if she ended with 14 dollars ?

1 answer:

Alex17521 [72]3 years ago

4 0

Well since she first used half of her allowance all we do is just 9-14=5 and 5*2=10 so we now kn ow that her allowance is of 10 bucks.

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The rectangle shown has a perimeter of 48 cm and the given area. Its length is 6 more than twice its width. Write and solve a sy

melamori03 [73]

Answer:

The length of the rectangle is 18 cm

The width of the rectangle is 6 cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

The perimeter of the rectangle is

$P=2(x+y)$

we have

$P=48\ cm$

so

$48=2(x+y)$ ------> equation A

$x=2y+6$ ------> equation B

Substitute equation B in equation A and solve for y

48=2(2y+6+y)

48=2(3y+6)

48=6y+12

6y=48-12

y=36/6=6 cm

Find the value of x

x=2(6)+6=18 cm

The area of the rectangle is

A=xy

A=18*6

A=108 cm^2

4 0

3 years ago

Someone please help me

allsm [11]

Answer:

Solutions: $x = \frac{-3}{ 4} + i \sqrt{39}$ , $x = \frac{-3}{4} - i \sqrt{39}$

Step-by-step explanation:

Given the quadratic equation, 2x² + 3x + 6 = 0, where a =2, b = 3, and c = 6:

Use the <u>quadratic equation</u> and substitute the values for a, b, and c to solve for the solutions:

$x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

$x = \frac{-3 +/- \sqrt{3^{2} - 4(2)(6)} }{2(2)}$

$x = \frac{-3 +/- \sqrt{9- 48} }{4}$

$x = \frac{-3 +/- \sqrt{-39} }{4}$

$x = \frac{-3 + i \sqrt{39} }{4}$ , $x = \frac{-3 - i \sqrt{39} }{4}$

Therefore, the solutions to the given quadratic equation are:

$x = -\frac{3}{ 4} + i \sqrt{39}$ , $x = -\frac{3}{4} - i \sqrt{39}$

4 0

2 years ago

Fifty percent of students in your school own a bike. Of a sample of students in your school, the ratio of students who own a bik

Svetradugi [14.3K]

Answer:

Yes

Step-by-step explanation:

If 4 is half of 8, and 50% is half of 100%, then 4:8 is an accurate ratio depecting that half the school owns a bike.

8 0

3 years ago

Read 2 more answers

A triangle has an area of 10 m². The height of the triangle is 5 m.

julsineya [31]

Area=1/2 times bas time height
given that area=10
height=5
find base

10=1/2 times base times 5
times 2 both siddes
20=base times 5
divide oth sides by 5
4=base

the base is 4m

5 0

3 years ago

Δx→0 <br> −5(x + Δx) + 5x<br> Δx

marysya [2.9K]

I guess the original function was

y = 5x (1)

y+Δy =5(x+Δx) (2)

(2) - (1) =

Δy = 5Δx

Δx →0, Δy/Δx →5

7 0

3 years ago