What is the solution to the system of equations below?

x + 3 y = 15 and 4 x + 2 y = 30
(6, 3)
(3, 6)
(7, –6)
(–6, 7)

Answers

Answer 1

Answer:

Step-by-step explanation:

For x+3y=15

Take (6,3) and substitute the points:

6+3(3)=15

6+9=15

15=15

For 4 x + 2 y = 30 and substitute the points:

4(6)+2(3)=30

24+6=30

30=30

So, (6,3) is the solution of the given system of equations.

If you need to ask any questions, let me know.

Related Questions

2) Find the area and perimeter of a semi -circular disc whose radius is 10cm. (take π = 3.14)

Answers

Answer:

Area =Pi r2

=3.14×10x10

=3.14×100cm2

=3.14cm2

Perimeter = 2 pi r

=2 ×3.14×10

=6.28cm

Or =Pi d

= 3.14 ×20cm

=62.8cm

Note:

R means radius

D means diameter

radius is half of a diameter e.g radius is10 and diameter is 20

I can recommend you watching yt videos it helped me alot

hoo this helps:)

You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?

Answers

Answer:

Yes

Step-by-step explanation:

20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so  that gives you 84 % . So you scored %84.

Good job

Factorise: 3x²+17x+10

Answers

The answer is (x+5) (3x+2)

Answer:

(3x+2) (x+5)

Step-by-step explanation:

3x²+17x+10

SPLITTING OF MIDDLE TERM

3x²+15x+2x+10

COMMON FACTOR FROM PAIRS

3x(x+5) + 2(x+5)

= (3x+2)(x+5)

Assertion - if the mean of five observations X, X+2, X+4, X+6, X+8 is 11 then,Mean of last 3 observations is 8. Reason - Range= Max. Value - Min. Value. (a) Both A and R are true, and R is the correct explanation for A. b) Both A and R are true, and R is not the correct explanation for A. c) A is true but R is false. d) A is false but R is true. ​

Answers

A is false but R is true (the mean of the last 3 values is not 8 since x=7)

3. Sally invested $5,000.00 in a savings account earning 3.49% simple interest. At the same time
Jon invested $3,000.00 in a money market account at a simple interest rate of 7.5%. How many
years will it take for the two to have the same amount of money in their accounts? How much
money do they have after that time period?

Answers

Answer:

ic hch7y8gygdr6dr6d7twwt7tfx7yuc yc i

Explain why 4xy and 5x²y are not like terms.

Answers

They aren’t like terms became 5x^2y has an exponent

We could have the numbers
5x^2 and 5x and they wouldn’t be like terms because one has an exponent

Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake? Explain your answers.

Answers

Answer:

30 cookies and 6 cupcakes

Step-by-step explanation:

5+1=6

5:1=6

?:?=36

36/6=6

5x6=30

1x6=6

30 cookies

6 cupcakes

20. The table shows the numberof days you keep a rented movie before returning it and the total cost of renting the
movie. Find the rate of change in cost with repect to time and interpret its meaning.
Time (days)
4
5
6
Cost (dollars)
6.00
8.25
10.50

Answers

Step-by-step explanation:

According to given table we have pairs of points:

(4, 6.00), (5, 8.25), (6, 10.50)

The rate of change is:

(8.25 - 6.00)/(5 - 4) = 2.25

or

(10.50 - 8.25)/(6 - 5) = 2.25

It is 2.25 and the meaning is:

Rental per day is $2.25

Find the average rate of change between x=2 and x=4 for the function. F(x)=3x^3-1

Answers

Answer:

84

Step-by-step explanation:

Average rate of change between x = 2 and x = 4 is:

[f(4) - f(2)]/(4 - 2) = (3*4³ - 1 - 3*2³ + 1)/2 = 168/2 = 84

[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]

[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]

[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]

[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]

Average change

[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]

[tex]\\ \sf\longmapsto 84[/tex]

Which table of values represents a linear function?

Answers

Answer:

I don't know it's very hart

what is the length of a short leg of a 30-60-90 triangle shown below?

Answers

Answer:

5

Step-by-step explanation:

since 30-60-90 triangles are special right triangles, we know that if the short leg=x, the long leg= xsqrt(3). so the short leg= 5 sqrt(3) /(sqrt(3) = 5

You have a coupon for 25% off the price of a mystery book that sells for $7.00. You also have one for 20% off the price of a science fiction book that sells for $6.25. You have $5.00. Which book can you afford to buy? Explain.​

Answers

Answer:  you can afford to buy both

as $1.75+$1.25 adds up to $3 leaving you $2 to spare.

Step-by-step explanation-

Mystery book: 25% of 7.00= 1.75 ($1.75)

Science Fiction: 20% of  6.25=1.25 ($1.25)

Answer:

You can afford the science fiction book.

Step-by-step explanation:

How to get the amount for the 25% coupon:

$7.00 × 0.25 = $1.75

To get the price of the mystery book using the coupon:

$7.00 - $1.75 = $5.25

The mystery book will cost $5.25.

How to get the price of the 20% coupon:

$6.25 × 0.20 = $1.25

To get the price of the science fiction book using the coupon:

$6.25 - 1.25 = $5.00

The science fiction book will cost $5.00.

You can afford to buy the science fiction book because you have $5.00 and that is the price of the book.  The mystery book costs $5.25 and you only have $5, which means that you don't have enough money to buy it.

Choose ALL of the transformations that have been applied to the linear function below.
()=−2−4
(It’s multiple choice)
1.Reflected over x-axis
2.Vertical stretched
3.Shifted down 4
4.None of the above

Answers

Im so sorry! I wish I could help but you don’t seem to have a image that shows the linear function

Determine if the point is a solution to the system of linear equations [tex] \huge \{{ \large \begin{array}{} 2x + 3y = 2 \\ 6y = 5 - 4x \end{array}} [/tex] ​

Answers

Answer:

The system has no solutions.

Step-by-step explanation:

If you stare at it for the bit you can tell the system is impossible. Let's see why:

First of all, rewrite the second equation by bringing all unknowns on the LHS:

[tex]4x+6y=5[/tex].

Then take twice the first equation, doubling every coefficient:

[tex]4x+6y=4[/tex] See how the LHS is the same? The system is asking you to find a quantity (4x+6y) which is at the same time equal to four AND five - emphasis on that "and" - which is obviously impossible, because it implies that 4=5. So the point - which you didn't provide - is not a solution. Nor is any other point.

Julie spent $15 on 3 headbands. Mary spent $48 on 8 headbands. How much more
did Mary spend per headband?
$5.50
$1
$2.13
$4

Answers

Based on the information given, the amount of money that Mary will spend more for the headband will be $1.

Since Julie spent $15 on 3 headbands, the amount per headband will be:

= $15/3 = $5

Since Mary spent $48 on 8 headbands, the amount per headband will be:

= $48/8 = $6

Therefore, we can then calculate the difference between the values that are gotten. This will be:

= $6 - $5 = $1

Therefore, the difference is $1.

Learn more about division on:

https://brainly.com/question/24429956

Which graph represents this equation?
y=-2 (24)
-2 -1
1 2314
O1 2 3 4
*232)
2 3 4

Answers

Answer:

its the second option under the first one... which is more than likely C.

Step-by-step explanation:

order the values from least to greatest​

Answers

Answer:

[-1.8], [2.7], 3 2/5, [3.5]

thats the answer

Answer:

|-1.8| = 1

|2.7| = 2

|3.5| = 3

3 2/5 = 4

4.6 = 5

Step-by-step explanation:

Hope this helps!

The Snyders went out to dinner and their bill was $54.15. How much would a 20% tip cost?

Answers

Answer:

$10.83

Step-by-step explanation:

bill/percent

The tip total would be $10.83. The total (bill plus the tip )would be $64.98.

Answer Please will give brainliest.

Answers

Step-by-step explanation:

blue is natural: 1, 4, 0, 2 and root of 25.

green is whole: -9 and -15.

yellow is rational: 2/3

orange is irrational: pi and root of 15.

white is real numbers.

don't know about that purple one.

PLEASE HELP IM BEGGING. which is function and which is not function please answer all.

Answers

Answer:

B

Step-by-step explanation:

for every given input there is a unique output in B, there are two times in which 5 is the output. So it is not a function

You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?​

Answers

Answer:  1/6

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

Explanation:

Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

A.  b ≤  -3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

C

Step-by-step explanation:

how do you solve this inequality
[tex]2x - y \leqslant 3[/tex]


Answers

Step-by-step explanation:

I said in your comments, you can solve it for each variables

you have 2 answers

1) 2x<y+3

[tex]x \leqslant \frac{y + 3}{2} [/tex]

2)

[tex]y \geqslant 2x - 3[/tex]

Evaluate -1(-2)(-4)(-2)

Answers

Answer:

16

Step-by-step explanation:

Negative times negative = positive

-1(-2) = 2

2(-4) = -8

-8(-2) = 16

Please consider giving this answer brainliest if it helped you. Thanks!

Answer:

─16

Step-by-step explanation:

1(−2)(−4)(−2) when x=1, y=2, z=5 which equals, ─16

Rewrite the following equation in slope-intercept form. 2x + 16y = 11 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=-1/8x+11/16

Step-by-step explanation:

The slope-intercept form is y=mx+b. You have to move over 2x to the other side. After that you have to divide both sides by 16 to get to the y intercept form, so it would end up as y=-1/8x+11/16, where -1/8=m and 11/16=b

Marian is making accessories for the soccer team. She uses 666.12 inches of fabric on headbands for 36 players and 3 coaches. She also uses 310.68 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?





I need help with this

Answers

Answer:

answe is about 23. something

Step-by-step explanation:

i need help with how to reason it

Answers

Answer:

X=80

Step-by-step explanation:

As 100⁰ is Opposite to B and AD and EH Are PARALLEL so B=100⁰

180-100

=80⁰

MARK ME BRAINLIEST

What is the slope intercept equation from the graph?

Please help me thank u!

Answers

Answer:

y = -3/2x+3

Step-by-step explanation:

Pick two points on the line

(0,3) and (2,0)

Using the slope formula

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

    = ( 0-3)/(2-0)

  = -3/2

The y intercept is 3

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -3/2x+3

Solve (MAFS.912.A-REI.2.3)

4
15= 2
+8

A. =1
2 B. =−1
2
C. =2 D. =−2

Answers

Answer:

c,=2d=-2

Step-by-step explanation:

Mr. Ocampo has two kind of fruit in his basket. The ratio of apples to oranges is 3:2. If there are 18 apples then how many pieces of fruit are there.

Answers

Answer:

There are 27 pieces of fruits

Step-by-step explanation:

Given, apples=18

ratio of apples to oranges =3:2

Now, x/18 =3/2

or, 2x=18*3

or, x=54÷2

x =27„

please mark as branliest answer

hope it helps you

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