which option would be correct?

49. [tex]x = \dfrac{1}{a}[/tex] and [tex]y = 3[/tex]

50. [tex]x = \dfrac{1}{2a}[/tex] and [tex]y = \dfrac{1}{b}[/tex]

Step-by-step explanation:

We are going to solve these systems of equations using the elimination method.

49. Given:

[tex]5ax + 4y = 17[/tex] (1)

[tex]\:\:ax + 7y = 22[/tex] (2)

Multiply Eqn(1) by 7 and multiply Eqn(2) by -4 to get

[tex]\:\:35ax + 28y = 119[/tex]

[tex]-4ax - 28y = -88[/tex]

Adding the two equations above, we get

[tex]31ax = 31 \Rightarrow x = \dfrac{1}{a}[/tex]

Substituting this value for a into Eqn(2), we get

[tex]y = 3[/tex]

50. Given:

[tex]4ax + \:\:by = 3[/tex] (3)

[tex]6ax + 5by = 8[/tex] (4)

Multiplying Eqn(3) by -5, we get

[tex]-20ax - 5by = -15[/tex]

[tex]\:\:\:\:\:\:6ax + 5by = \:\:8[/tex]

Adding the two equations above, we get

[tex]-14ax = -7 \Rightarrow x = \dfrac{1}{2a}[/tex]

Plugging in the value of x into Eqn(3), we get the value for y as

[tex]4a(\frac{1}{2a}) + by = 3[/tex]

or

[tex]2 + by = 3 \Rightarrow y = \dfrac{1}{b}[/tex]

Answer:

10x - 20

Step-by-step explanation:

Distribute 5 to each of the terms within the parentheses to get 5(2x) - 5(4) = 10x - 20.

Answer:

Step-by-step explanation:

To answer this, divide 67 by 2, writing the answer as a mixed number:

67

---- = 33 1/2

 2

thus, 2 can go into 67 33 times, keeping in mind that there's a remainder (1/2).

Answer:

Carla's was the better deal with $68.00

Diane's: $85.00

Step-by-step explanation:

0.2 x 85 = 17

85 - 17 = 68$

Answer:

y = -1.5x + 75

Step-by-step explanation:

Well, the rate at which the plane falls doesn't change, so anything attached to the time variable remains constant.

In this case, the first part of the function (-1.5x) remains the same.

Since the height of the tall building was 60 and the value in the equation, we can see that the last value corresponds to the number of meters above ground.

Since the height has changed to 75, the last part of the equation (60) changes to 75, and the rest remains constant.

That gives us the following equation: y = -1.5x + 75

Answer:

3452.2

Step-by-step explanation:

3452.2

Answer:

3452.2

Step-by-step explanation:

we have to use bodamas rule..

Answer:

you could start by making a definite timetable for yourself and try to get away so as to differentiate the time between your work your Edmonton and a time is spending a computer don't try to spend much more time when your computer because it's mainly due to procrastinating in during other work

Answer:

X would be 1,000

Step-by-step explanation:

Hey there!

√36

= √6^2

= 6

Therefore, your answer should be: 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

[tex] \sqrt{36} = ...[/tex]

[tex] = {36}^{ \frac{1}{2} } = (6 {}^{2} ) {}^{ \frac{1}{2} } [/tex]

= 6

Answer

Find out the  insurance company's payment .

To proof

Deductible

The deductible is the amount of money you will pay in an insurance claim before the company starts paying you insurance coverage .

As given

Sally Jones had a policy with a $250 deductible which paid 80% of her .covered charges less deductible

She had medical expenses of $18,240.00.

Amount becomes after deducting deductible = $18,240 -  $250

                                                                                   = $17990

80 % is written in the decimal form

now 80% of the Amount after deducting deductible

= $ 14392

Therefore $ 14392 is the insurance company's payment .

 Remember To Stay In School

Wink Wink

Answer:3,848

Step-by-step explanation:I took the test.

Answers:

===================================================

Explanation:

The left hand side is

[tex]-6\begin{bmatrix}3 & -1 & 3\\8 & x & -9\\4 & -1 & y\end{bmatrix}[/tex]

That -6 outside the matrix is multiplied with each item inside the matrix. This is known as scalar matrix multiplication. Effectively, it's very similar to the idea of the distributive property.

So for the first row, we have the three columns of: -6*3 = -18 and -6*(-1) = 6 and -6*3 = -18

The other two rows are handled the same way. This is what should result:

[tex]-6\begin{bmatrix}3 & -1 & 3\\8 & x & -9\\4 & -1 & y\end{bmatrix}= \begin{bmatrix}-18 & 6 & -18\\-48 & -6x & 54\\-24 & 6 & -6y\end{bmatrix}[/tex]

From here, you'll then match up the terms in the given right hand side matrix. The top row has the variable 'u' in the middle, which matches with the '6' in the middle of the top row shown. Therefore, u = 6.

-----------------------------

Now to the second row.

The -48 in the first spot pairs up with the w in the other matrix. So we can see that w = -48. Similarly, we have v = 54.

Also, we have -6x in the middle which matches with the 6 in the same corresponding spot. Solving -6x = 6 leads to x = -1.

-----------------------------

Finally, the third row.

There's only one variable here and that's the variable y in the bottom right corner. It pairs up with 0 in the same corresponding spot for the right hand side matrix. Therefore, y = 0.

Answer:-4.683

Step-by-step explanation:

Took the test

9514 1404 393

Answer:

  (x, y) = (-6, 15) and (2, -1)

Step-by-step explanation:

You can start by subtracting the second equation from the first.

  (y) -(y) = (x^2 +2x -9) -(-2x +3)

  0 = x^2 +4x -12 . . . . . . collect terms

  0 = (x +6)(x -2) . . . . . . . factor

Solutions for x are -6 and +2. These values make the factors zero.

The corresponding solutions for y are ...

  y = -2(-6) +3 = 15

  y = -2(2) +3 = -1

Solutions to the system of equations are ...

  (x, y) = (-6, 15) and (2, -1)

Answer:

3 × 27

=81

mark BRAINLIEST pls

Answer:

i cannot answer this because i do not know hw much money he has made.

Step-by-step explanation:

Answer:

tens place

Step-by-step explanation:

24 can't be into the thousands place or the hundreds place. hope this helps

Answer

 hundredths place

Step-by-step explanation:

When performing long division, the first digit of the quotient appears over the least significant digit of the first portion of the dividend that is greater than or equal to the divisor.

Here, when performing long division we compare ...

 64 vs 1 . . . no quotient digit

 64 vs 15 . . . no quotient digit

 64 vs 159 . . . the first quotient digit appears with the same place value as the 9 in 1.59. That is, the first quotient digit will be 0.02, 2 in the hundredths place.

Answer:

3/1

Step-by-step explanation:

because why not

Answer:

4x + 10 >1

-10. -10

4x < -9

Step-by-step explanation:

make sure to make it less than or equal to

Answer:

[tex]\red{\rule{4pt}{700000pt}}[/tex]

Step-by-step explanation:

hi

Answer:

4+1=5

Step-by-step explanation:

Note down the below rules

Answer:

x = 1

Step-by-step explanation:

log(1) = 0

log(1) = [tex]log(1)^{2}[/tex]

0 = [tex]0^{2}[/tex]

0 = 0

Answer:

Step-by-step explanation:

First, check the amount of water in each one and the price. Which ever one has the lowest price for more water has the best deal.

:) Hope this helps

Answer:

ax + by

Step-by-step explanation:

i hope its correct

if its wrong then im sorry :)

Answer:

x=7

Step-by-step explanation:

5(x - 3) = x + 13

Distribute the 5

5x-15 = x+13

Subtract x from each side

5x-15-x = x+13-x

4x-15 =13

Add 15 to each side

4x-15+15 = 13+15

4x= 28

Divide each side by 4

4x/4 = 28/4

x = 7

Answer:

x = 7

Step-by-step explanation:

First

5(x - 3) = 5x - 15 by distributing the 5 on each variable and number in the parenthesis.

Then

5x - 15 = x + 13 which you add 15 (or 5x - 15 + 15 = x + 13 +15) on both sides to have the numbers on one side because it must be the opposite to cancel out the 15 on the original/previous side.

Afterwards

5x = x + 28 now we must get the x to the other side and using the same logic as before you move the x to the other side by subtracting it (or 5x - x = x + 28 - x) to the other side equaling 4x = 28.

Finally

4x = 28 you need to divide each side by 4 to cancel out the 4 on the x since we must find out what x is (or 4x/4 = 28/4), and you should get x = 7.

Answer:

20.4

Step-by-step explanation:

If you are using D = r × t

                         10.2 = 0.5(t)

                          10.2/0.5 = t

                           20.4 = t

Answer:

20.4

Step-by-step explanation:

Answer:The rate of change is the number of inches grown per month, and

the initial value is the starting height.

Step-by-step explanation:

The rate of change is the starting height, and the initial value is the

number of inches grown per month.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept

Given,

A sunflower is 13 inches tall and grows 41 inches each month.

The sunflower's height is a linear function of time.

A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

y=13+41x.

Here x represents the number of months

13 is the initial height of the sunflower.

In the given options, The rate of change is the starting height, and the initial value is the number of inches grown per month is the statement best describes  the rate of change and initial value of this function

Hence, The rate of change is the starting height, and the initial value is the number of inches grown per month

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ2

Answer:

95

Step-by-step explanation:

100 divided by 5 plus 25 times 3 is 95 :)

100/5=20

25x3=75

75+20=95

95

Answer:

a

Step-by-step explanation:

a