Victor borrowed $18.50 from his mother to go to the theater. A week later, he paid her $18.50 back. How much does he still owe her? He owes her $

Answer:

(1, 2 ) and ([tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )

Step-by-step explanation:

3x + 4y = 11 → (1)

xy = 2 ( divide both sides by y , y ≠ 0 )

x = [tex]\frac{2}{y}[/tex] → (2)

Substitute x = [tex]\frac{2}{y}[/tex] into (1)

3([tex]\frac{2}{y}[/tex] ) + 4y = 11

[tex]\frac{6}{y}[/tex] + 4y = 11 ( multiply through by y )

6 + 4y² = 11y ( subtract 11y from both sides )

4y² - 11y + 6 = 0

Consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y- term

product = 4 × 6 = 24 and sum = - 11

The factors are - 8 and - 3

Use these factors to split the y- term

4y² - 8y - 3y + 6 = 0 ( factor first/second and third/fourth terms )

4y(y - 2) - 3(y - 2) = 0 ← factor out (y - 2) from each term

(y - 2)(4y - 3) = 0

Equate each factor to zero and solve for y

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]

y - 2 = 0 ⇒ y = 2

Substitute these values into (2)

y = 2 : x = [tex]\frac{2}{2}[/tex] = 1 ⇒ (1, 2 )

y = [tex]\frac{3}{4}[/tex] : x = [tex]\frac{2}{\frac{3}{4} }[/tex] = 2 × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ⇒ ( [tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )

Answer:

1. y=18, x=25 2. y=5, x=-4

Step-by-step explanation:

For the first one, you have to find what x or y equals, and I chose x. x would equal y+7. Then I just plugged in x to the other equation and solved for y. After finding y, 18, I plugged it back into the first equation and got 18+7=25. I did the same steps for the 2nd one as well.

Answer:

AC is parallel to BD

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of parallel sides.

Answer:

5/2

Step-by-step explanation:

please mark me brainiest

1/10 = 10%

a percent is

[tex] \frac{part}{whole} = \frac{x}{100} [/tex]

If u take 1/10, 10 is one tenth of 100 (10*10=100).

Answer:

kristen

Step-by-step explanation:

Answer:

-24 po

Step-by-step explanation:

thanks for the points

Answer:

Area = 2x³ + 5x² - 1

Step-by-step explanation:

Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):

The formula for solving the area of a rectangle is given by:

Area of a rectangle = Length × Width

In order to solve for the area of a rectangle, simply multiply the given length by the width.

length (L) = (2x + 1)

width (W) = (x² + 2x - 1)

A = L × W

A = (2x + 1)(x² + 2x - 1)

Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):

A = 2x³ + 4x² - 2x + x² + 2x - 1

Combine like terms:

A = 2x³ + 5x² - 1

Therefore, the area of a rectangle is: 2x³ + 5x² - 1.

Answer:

3w + 8 = 2

Step-by-step explanation:

product of a number and 3 is w * 3

eight more than the above is 3w + 8

which is equal to 2

3w + 8 = 2

Answer:

5/8=0.625

Step-by-step explanation:

5/8=decimal

5/8=0.625

Hope this helps :)

Answer:

0.625

Step-by-step explanation:

We know that 1/8= 0.125, so to get 5/8 as a decimal you would do 5 times 0.125.

2:15 because when you add 2 hrs you get 4:15. Add another 40 min and you get 5:05.

answer: 2:15

explaination :

Answer:

Step-by-step explanation:

Recall that distance = (rate)(time).  Here the rate is 30 mph and the time 3.5 hr.  The distance traveled is proportional to the time passing by.  The graph of the distance function is a straight line with slope equal to the "rate" named above:

d(x) = (30 mph)x

Since x (elapsed time) can't be negative in this situation, we write the domain as 0 ≤ x ≤ 3.5 hr.

Step-by-step explanation:

you work with it like with regular equations :

-9 <= 5 + 2x <= -5

-14 <= 2x <= -10

-7 <= x <= -5

Answer:

Coefficient is 5

Step-by-step explanation:

Coefficient means a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

Hope this is helpful.

Answer:

According to the question,

[tex]12x + 8x + 5x = 75[/tex]

_____________________

[tex]12x + 8x + 5x = 75[/tex]

[tex]25x = 75[/tex]

[tex]x = \frac{75}{25} [/tex]

[tex]x = 3[/tex]

Now,

[tex]12x = 36[/tex]

[tex]8x = 24[/tex]

[tex]3x = 15[/tex]

So,

75 in the ratio of 12 : 8 : 5 is

36, 24 and 15

Answer:

36 : 24 : 15

Step-by-step explanation:

sum the parts of the ratio, 12 + 8 + 5 = 25 parts

Divide the quantity by 25 to find the value of one part of the ratio

75 l ÷ 25 = 3 l , then

12 parts = 12 × 3 = 36 l

8 parts = 8 × 3 = 24 l

5 parts = 5 × 3 = 15 l

Answer:

p=v-u/t440-500=-60 this is decreasing in the rent so it decreased

Answer:

10 sheets of paper are striped

Step-by-step explanation: Make a proportional relationship.

20% as a fraction is 20/100

Make 50 into a fraction using a variable. For example, x/50

Cross multiply 20 and 50. That equals 1000.

Then divide 1000 by 100 and that equals 10. So 10 sheets of paper are striped.

Hope this helps!

Answer:

0.000456 in scientific notation

= 4.56 × 10-4

Step-by-step explanation:

Can I have brainliest?

0.000456 in scientific notation is 4.56 × 10-4

Answer:

Yes it is possible

Step-by-step explanation:

let a = 10.3, b =5.8 , c= 4.6

a+b= 16.1>4.6=c

b+c=5.8+4.6=10.3>10.3=a

c+a=4.6+10.3=14.7>5.8=b.

Answer:

Always computable as rightmost x value minus leftmost value: 4 - (-8) = 12

Answer:

segment addition postulate

the second answer is true

Step-by-step explanation:

my teacher taught me this recently

Answer: B. SAS or/and E. HL

Step-by-step explanation:

The two triangles both have a right angle of 90 degrees and two sides that are congruent so, SAS (side-angle-side). It can also be by HL since they both have a hypotenuse (the 2 lines) and one leg (the 1 line) that are congruent to each other.

Answer:

This is my guess...

"Even today, the need for work is a common reason people move to urban areas."

Step-by-step explanation:

The article talks about technology and how it lead to bigger cities in the past. Because we are reading about prior years, there is no need to talk about the present day.

Answer:

[tex]2.5y^{3}x[/tex]

Answer:

p = 5

Step-by-step explanation:

Judging from (0,0) and (10,-20) as given in the chart, the function is y = -2x.

Substituting that for the second row, you would get the equation -10 = -2x.

Simplifying, you get x = 5, so the value of p is 5.

Answer:

5

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

m = (-20-0)/(10-0)

   = -20/10

  = -2

We know the slope and have two points, (0,0) and (p,-10)

-2 = ( -10-0)/(p-0)

-2 = -10/p

Multiply each side by p

-2p = -10

Divide each side by -2

p = -10/-2

p = 5

Answer:

-29 13/35

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

1450.8 / 37.2 = 39

Answer:

that's have no answer so sorry