How many solutions does this system of equations have?

A. Infinitely many

B. None

C. Exactly one

D. Exactly two

Answer:

Step-by-step explanation:

The legs of A seem to be about 2 and slightly less than 2 units in length.

The legs of B seem to be about 4.5 and 4.5 units in length

4.5/2 = 2.25 or 225% increase so NONE OF THE ABOVE answer is correct.

If we ASSUME that the legs of B are supposed to reach 5 and 5 (they don't) or the legs of A are both supposed to be 1.8 (hard to say, certainly the bottom one seems to exceed that)

then the dilation would be  5 / 2 = 2.50 or 250%

Which means we have an option of B) or C) to choose from

Reflecting A across the y axis would put B in the first quadrant so NO.

Rotating A  270° CW about the origin would give us B in the third quadrant which is correct.

So the CLOSEST answer is option C) (dilation not with standing)

The equation that we would be making after x number of years is S(x) = 45000(1.05)^x where S(x) is the salary in xth year since the year of joining the job.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Let the initial income be P

Let the raise be of R% annually.

Then, after 1 year, it would become
[tex]P_1 = P + (R\% \: of \: P) =P + \dfrac{P}{100} \times R = P\left(1 + \dfrac{R}{100}\right)[/tex]

Now, after 1 more year(second year), we get:

[tex]P_2 = P_1\left(1 + \dfrac{R}{100}\right) = P\left(1 + \dfrac{R}{100}\right)\left(1 + \dfrac{R}{100}\right) = P\left(1 + \dfrac{R}{100}\right)^2[/tex]

After one more year(third year), we get:

[tex]P_3 = P_2\left(1 + \dfrac{R}{100}\right) = P_1\left(1 + \dfrac{R}{100}\right)^2 = P\left(1 + \dfrac{R}{100}\right)^3[/tex]

Similarly, on xth year, we get:

[tex]P_x = P\left(1 + \dfrac{R}{100}\right)^x[/tex]

This is the salary on xth year.

For this case, we're provided that:

Thus, we get:

[tex]P_x = P\left(1 + \dfrac{R}{100}\right)^x\\\\P_x = 45000(1 + 0.05)^x = 45000(1.05)^x = S(x) \: \rm (say)[/tex]

Thus, the equation that we would be making after x number of years is [tex]S(x) = 45000(1.05)^x[/tex] where S(x) is the salary in xth year since the year of joining the job.

Learn more about forming equations here:

https://brainly.com/question/11938672

Start first by putting this in proportions, converting the feet to inches

10 8

—— = ——

180 144

Simplify as much as possible:

1 1

— = —

18 18

Therefore, the scale is 1:18

Answer:

B. Graph b

Step-by-step explanation:

I got this answer correct

Answer:

I believe it's B hope this helps

Answer:

A is your answer.

Step-by-step explanation:

A) x > -3

B) x <= -3

C) x <= -3

D) x > -8

Answer:

185/20 + 132/20 = 53/20

Step-by-step explanation:

first you whould find the improper fractions then find LCD and that would get you the answer. To find improper fraction you whould multiply the whole # by the denominator then you add the numerator.

Answer:

Blue

Step-by-step explanation:

Answer: green, I love hunter green

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If you like my answer than please mark me brainliest ty <3

Answer:

-1.7 sorry if it's wrong

Answer:

121,59 the answer

just ask for Father explanation

Answer:

True

Step-by-step explanation:

it's true cuz im corrrect

Answer:

This means that there are 8 more girls than boys in the school play. Hi Danielle. The ratio of boys to girls is 5:7. 5 + 7 = 12 5/12 of the students are boys.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

  a) 56 shells in each jar

  b) 297 shells were picked

  c) 2, 8, 14, 20, ... shells were discovered (=2+6n); 47, 48, 49, 50, ... shells in each jar (=47+n); for n=0, 1, 2, 3, ...

Step-by-step explanation:

The first digit is given as 5. The second is 9 less than 3 times 5, so is

  3×5 -9 = 15 -9 = 6

The 2-digit number that is Sally's house address is 56.

Sally originally planned to put 56 shells in each jar.

__

If each of the 5 jars has 56 shells, and Sally collected 17 more than that, she originally picked ...

  5×56 +17 = 280 +17 = 297

Sally originally picked 297 shells.

__

We saw that the number of shells to go into jars is 280. That will fill 6 jars with ...

  280/6 = 46 4/6 . . . . shells in each jar

That is, Sally can fill 6 jars with 46 shells each, and have 4 shells left over. The number of additional shells to put the same number in each jar will be a number that makes a multiple of 6 when 4 is added to it. Already we know that adding 2 shells will bring the total to 6 "extra", so will allow 1 more shell to be added to each of the 6 jars.

  additional shells = 2 +6n . . . . . . for some whole number n

  number in each jar = 47 +n . . . . . for the same whole number n

Sally could have discovered, 2, 8, 14, ... shells in her pocket.

Answer: 12 in each

Step-by-step explanation: To solve this you'd divide the number of donuts by boxes.

Answer:

12 Donuts Per Box

Step-by-step explanation:

24/2=12

Answer: 279.

Step-by-step explanation:

First, change the percentage to a decimal and write the equivalence of the sales tax amount. Let x be the original cost of the item.

Sales tax amount =x⋅0.08

Next, substitute the value into the equation:

Original Cost + Sales Tax Amount = Total Cost

x+0.08x=301.32

Add like terms.

1.08x=301.32

Divide both sides by 1.08 to isolate the unknown value.

x=$279

Answer:

Step-by-step explanation:

Answer:

even

Step-by-step explanation:

the last digit is an even number

Hey there!

• Odd numbers are numbers that cannot be divided evenly

- EXAMPLE: 1, 3, 5, 7, & etc.

• Even numbers are numbers that can be divided evenly by 2

- EXAMPLE: 2, 4, 6, 8, & etc.

But that Without further ado lets answer the question

96 ÷ 2 = 48

96 is divisible of 2

So therefore, “96” is an EVEN NUMBER

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

9514 1404 393

Answer:

Step-by-step explanation:

You find miles per gallon by dividing miles by gallons. ("Per" essentially means "divided by.")

  (45.5 mi)/(1.25 gal) = 36.4 mpg

  (23.6 mi)/(0.8 gal) = 29.5 mpg

__

"Miles per gallon" is the number of miles traveled on one gallon. The blue car can travel a greater distance on 1 gallon of gasoline.

Answer:

4e18

Step-by-step explanation:

I reccomend using a calculator for problems like this if you have one available as it gets to be a huge number which can be hard to work out by hand! :D

Note: e18 means it'll have 18 zeros!

Hey there!

(15+12)(2)+ 310(5)

= 27(2) + 310(5)

= 54 + 1,550

= 1,604

Therefore, your answer is should be: 1,604

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:  THE CORRECT ANSWER IS 125/64

NOT 1/4

Answer:

Jorge's weight change was approximately 5%.

Marie's weight change was approximately 14%

Marie had the greater percent change.

Step-by-step explanation:

Solution:

Marie's former weight = 175

New weight = 150

Difference = 175 - 150 = 25

Percentage change = 25/175 × 100

= 1/7 × 100

= 14.2%

Jorge's former weight = 190

Jorge's new weight = 180

Difference = 190 - 180 = 10

Percentage change = 10/190 × 100

= 5.26%

From the above explanation, the following are right:

• Jorge's weight change was approximately 5%.

• Marie's weight change was approximately 14%

• Marie had the greater percent change.

Answer:

Step-by-step explanation:

Jorge’s weight change was approximately 5%.

Marie’s weight change was approximately 14%.

Marie had the greatest percent change.

Marie: 175-150 = 25

What percentage is 25 of 175 = x/100 = 25/175

= 14.29%

Jorge: 190-180= 10

What percent is 10 of 190? = x/100 = 10/190

= 5.3%

Answer:

solution 1: 5

solution 2: -4

Step-by-step explanation:

x²-x-20=0;

(x-5)(x+4)=0;

x₁=5; x₂=-4.

Answer:

Solution 1: [tex]x = 5[/tex]

Solution 2: [tex]x = -4[/tex]

Step-by-step explanation:

The first is organize the given equation to the next form

[tex]ax^2 + bx + c[/tex]

So you substract -20 in both sides of the equation

[tex]x^2 - x - 20 = 0[/tex]

Know you can use the quadratic formula or find two number that sum give us [tex]b[/tex] and multiplied [tex]c[/tex].

[tex]b = s + r\\c = sr[/tex]

Replacing with the given values we have:

[tex]-1 = s + r\\-20 = sr[/tex]

With a trial and error the numbers are -5 and 4. Then you change the equation to

[tex]x^2 - x - 20 = (x - 5)(x + 4)[/tex]

And the equation is equal to 0 when  [tex]x[/tex] is equal to 5 and -4.

Step-by-step explanation:

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y + 7)/(-4 + 7) = (x + 8)/(-4 + 8)

(y + 7)/3 = (x + 8)/4

4(y + 7) = 3(x + 8)

4y + 28 = 3x + 24

4y = 3x + 24 - 28

4y = 3x - 4

y = 3x/4 - 1