Mathematics High School

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

yefgfsugsuifdsgsdhgsfjhdgjdhgskhb

Write the prime factorization of 315.

315 =


(TRY TO ANSWER THIS WHILE UR AT IT PLS?

Answers

Answer:

315 = 3^2 × 5^1 × 7^1

Step-by-step explanation:

Item 3 Solve. 7 2/5=2/3x−4 1/2 Enter your answer as a mixed number in simplest form in the box.

Answers

7 2/5 = 2/3x - 4 1/2

Add 4 1/2

11 9/10 = 2/3x

Multiply by 3/2

17 17/20 = x

The simplified form of the expression 7 ²/₅ = (2/3) x - 4 ¹/₂ for the value of x is 357/20 or 17.85.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

7 ²/₅ = (2/3) x - 4 ¹/₂

Simplify the expression,

37/5 = (2/3)x - 9/2

37/5 + 9/2 = (2/3)x

(74 + 45) / 10 = (2/3)x

119 / 10 = (2/3)x

357/20 = x

x = 357 / 20

x = 17.85

The simplest form for the value of x, of the given expression, is 357 / 20.

To know more about Algebraic expression on:

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#SPJ2

someone please help and show work​

Answers

Answer:

I already answered this for someone, but what you want to do is combine/cancel out like terms. So cancel out x on 2+7x/x to get 2+7/1. The first step in solving most rational equations is combining/canceling like terms, so follow through with that here.

An actor invested some money at 7% simple interest, and $27,000 more than four times the amount of 8%. The total annual interest earned from the investment was $54,030. How much did he invest at each amount?

Answers

The total annual interest earned from the investment is $36780

Triangle IJK has the coordinates listed:
Where is J' after a reflection over the y-axis?

Answers

Answer:

J' (- 10, - 8 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

J (10, - 8 ) → J' (- 10, - 8 )

Answer:

(-10, -8)

Step-by-step explanation:

The rule for a reflection over the y -axis is (x, y)→(−x, y) .

so J(10, -8) becomes J'(-10, -8)

Please help me with this homework

Answers

Step-by-step explanation:

we see f(x), which is |x|.

and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.

shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.

so, a shift down by 3 units is done by adding -3.

therefore, C is the correct answer (the original f(x) - 3).

whats is 8:55 after 25 minutes

Answers

25 minutes after 8:55 is 9:20.

can someone please help me :)

Answers

Answer:

1/2

Step-by-step explanation:

We have 2 points, (1,3) and (9,7). So, the slope of the line is (7-3)/(9-1)=4/8=1/2

Solve this equation with a variable term on both sides:

5.1y + 21.3 = -0.3y - 24.6

What is the solution?

y=

Answers

5.1y + 21.3 = -0.3y - 24.6
5.1y + 0.3y = -24.6 - 21.3
5.4y = -45.9
y = -8.5
5.1y+0.3y= -21.3 - 24.6
5.4y = -45.9
Y = -8.5

Select ALL of the equations that are true.
(Select all that apply.)
· 16 = 3.8
3
1
6
19
=
=
=
2.8. 13 = 0.7.52

Answers

Answer:

C ( 2.8 x 13 = 0.7 x 52)

Step-by-step explanation:

2.8 x 13 = 36.4

0.7 x 52 = 36.4

36.4 = 36.4

Answer:

Answer : 36.4

Step-by-step explanation:

thanks pi sa points uwu

7/9 - 2/8 x 49 in simplest form

Answers

Answer:

7/9 - 2/8 x 49

First, according to BODMAS we will solve multiplication7/9 - 2/8 x 49 = 7/9 - 49/4= -61/12

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

For the expression five minus 5X to have a negative value what must be true about the value of X

Answers

Answer:

x=0

Step-by-step explanation:

honestly this is just filler no reason to explain it hoenstly

Describe if the function is linear, exponential, or neither. Explain how you can tell

Answers

Answer: neither
It is not linear because it does not follow a set pattern and it is not exponential because there are no exponents present.

You are organizing books on the shelf. Each book has a width of 3/4 inches. write and solve an equality for the numbers of books b can fit on the shelf

Answers

3/4 = 0.75 inches

24 inches / 0.75 inches

= 32 books

Evaluate each expression when n = 4 and b = 7
1. 2n – 3

2. 4b + 3

3. 3n + 8b – 13

Answers

Answer:

1. 5  2. 31  3. 55

Step-by-step explanation:

1. 2(4)-3=8-3=5

2. 4(7)+3=28+3=31

3. 3(4)+8(7)-13=12+56-13=56-1=55

Answer:

1 is 5, 2 is 31, and 3 is 55

Step-by-step explanation:

you substitute n in for 4, and for 1 you get 2(4)-3, and 2(4) =8-3 is 5. you substitute the n and b values in for the actual number, and you can get an easier answer.

Transposing the formula R=R0 (1+at) for t gives?

Answers

thats ur answer,hope it helps

Answer:

t

Step-by-step explanation:

What is it. As a fraction

Answers

Step-by-step explanation:

i Don't know?is that the questions?

Find the length of side x to the nearest tenth.
х
600
30°
17

Answers

Answer:

5.3

Step-by-step explanation:

Stare at the triangle for a bit. And try to add another one sharing the unmarked angle. You end up with an equilateral triangle. It means [tex]\sqrt7[/tex] is half the hypotenuse, At this point,

What is the value of x?

Answers

Step-by-step explanation:

19x - 4 = 110 ( alternate Exterior angle )

→ 19x = 110 + 4 = 114

→ x = 114/19

→ x = 6

therefore, value of x is 6°.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

plzz help me asap no link for 30 points

Answers

Answer:

Liam's work is correct

Step-by-step explanation:

25 is a percent so should always write in fraction form

25/100

then you find what number multiply by 25 gives 150

which is 6, so you do the same on the bottom

which is 600

or 150 ÷ 25/100 which also gives 600

so 600 is the number

What is an equation in point-slope form of the line shown in the graph, using the point (1, 5)?

Answers

Answer:

The point-slope form is  

y

+

6

=

1

5

(

x

−

4

)

or  

y

+

5

=

1

5

(

x

−

9

)

, depending on which point you use. If you solve for  

y

to get the slope-intercept form, both equations will convert to  

y

=

1

5

x

−

34

5

Step-by-step explanation:

y-5=[whatever slope is](x-1)

50 POINTS!!

Mr. reed and Mr. Bob are conducting a sensitive physics experiment and are standing
on a coordinate grid. They need to place a motion sensor exactly halfway between
them. If Mr. To is standing at coordinates (–7, 3), and Mr. Syal is standing at (5, -5),
where should the motion sensor be placed?

Answers

Answer:

(-1,-1) I think

can someone please help me with this

Answers

Answer:

ABC = 113°

Step-by-step explanation:

If ABD is 70° and DBC is 43°

ABC is 70°+43° = 113°

without looking delores took a handful of multi colored candies from a bag and found that 40% of the candies were yellow. suppose that there are 375 candies in the bag. How many can she expect to be yellow?

Answers

Answer:

150

Step-by-step explanation:

What are the coordinates of point P?



O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)

Answers

The answer will have to end up being(-4,3) that’s all I just need more words for whatever reason

Answer:

(-4, 3)

Step-by-step explanation:

You have to go -4 on the x-axis, and +3 on the y-axis

find the slope of the line

Answers

Answer:

-2

Step-by-step explanation:

[tex]\frac{(-5-1)}{(3-0)}[/tex] = [tex]\frac{-6}{3}[/tex] = -2

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 7,10,13,...

Find the 33rd term.

Answers

The 33rd term of the arithmetic sequence, 7,10,13.... is: 103

Recall:

An arithmetic sequence has a common difference, d, which is the difference between consecutive terms.nth term of an arithmetic sequence is found using: an = a + (n - 1)d, where, a is the first term and  d is the common difference.

The sequence, 7,10,13,... is an arithmetic sequence because:

13 - 10 = 10 - 7 = 3

Therefore, to find the 33rd term, substitute a = 7, n = 33, and d = 3 into an = a + (n - 1)d.

Thus:

[tex]a_{33[/tex] = 7 + (33 - 1)3

[tex]a_{33[/tex] = 7 + (32)3

[tex]a_{33[/tex] = 103.

Learn more about arithmetic sequence on:

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find x help meh pls
6 4/5=5/6x−3/12

Answers

I got a few not sure what you’re looking for

x=423/50
x=8 23/50
x=8.46

Tamara has $500 in her bank account. Tamara withdraws money to buy concert tickets. After the withdrawal, the account balance changed by $75.00
Enter the amount of money, in dollars, Tamara must deposit to return her account to the orginal balance.
Tamara must deposits

Answers

Answer: 75

Step-by-step explanation:

Answer:

500 - 425 and that id 75 so Tamara has spent 425 dollars

write an equation of the line passing through (2,-3) and is parallel to the line y=-2x-3. I need it done fast 40 points

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

A parallel line has the same slope but different y-intercept.

Transfer the slope (-2) and the ordered pair (2, -3) into point slope form.

Then make it from point slope form to slope intercept.

Hope this helps you. :)

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