у=x+5 3x+y=25 substitution

Answers

Answer 1

Answer:

(5,10)

Step-by-step explanation:

So we have the system of equations:

[tex]y=x+5\\3x+y=25[/tex]

To solve, we can use substitution.

Substitute the first equation into the second:

[tex]3x+y=25\\3x+(x+5)=25[/tex]

Combine like terms:

[tex]4x+5=25[/tex]

Subtract 5:

[tex]4x=20[/tex]

Divide by 4:

[tex]x=5[/tex]

Now, substitute this into the first equation:

[tex]y=x+5\\y=5+5[/tex]

Add:

[tex]y=10[/tex]

So, our answer is (5,10)

And we are done :)


Related Questions

0.78 × 30 = ⬜ please helppp

Answers

Answer:

23.4

Step-by-step explanation:

because when you multiply 0.78 times 30 you get 23.4

The answer is 23.4
If helpfull mark me brainleist plzzz

What is the slope of the graph of y = 12x - 197

Answers

Answer:

Slope = 12

Step-by-step explanation:

Since the equation above is a linear graph

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

y = 12x - 197

Comparing the equation with the general equation above

Slope / m = 12

Hope this helps you


A town built a scale model of the ancient construction of Stonehenge based on the original construction
found in Wiltshire, England. The scale of the model to the original is 5 to 9. The Altar Stone of the original
construction is 49 meters tall. Find the height of the model of the Altar Stone. Round your answer to the
nearest hundredth.

Answers

Answer:

27.22 m

Step-by-step explanation:

The scale factor is:

9/5= 1.8

Height of the model according to scale factor:

49/1.8 = 27.22 m

A cylindrical well has a radius of 10 feet and a height of 12 feet. How many cubic feet of water will it take to fill the well?
Assume that π = 3.14 and round to the nearest tenth when necessary.

Answers

Answer:

3769.91

Step-by-step explanation:

volume = π[tex]r^{2}[/tex]h

volume = 3.14(10 * 10) (12)

volume = 3769.91

Liz earns a salary of $2,000 per month, plus a commission of 5% of her sales. She wants to earn at least $2,200 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.

Answers

Answer:

2000 + .05x >= 2200

Step-by-step explanation:

2000 is how much she already has

.05 is 5% of sales

x is the unknown amount of sales

2200 is how much she needs

The rate is just 5% increase.

Use calculator to evaluate each expression. sin²36° + cos² 36°

Answers

Answer:

1 because sin2theta + cos2theta is equal to 1

Step-by-step explanation:

put them in order0.25,1/9,6/5

Answers

Answer:

1/9 < 0.25 < 6/5

(-4,-3) and (2,5)
to draw a line Click a senment to

Answers

Answer:

This is a graph problem

Step-by-step explanation:

on a ten by ten graph this is the included file

(sorry for my bad lines, i had to do this with a mouse0

Answer:

  see the attachment for a graph

Step-by-step explanation:

We can't tell what your instructions are. Many graphing tools will let you click on the locations of the points, then draw a line through them. The attached image is from one such tool.

__

If you want to plot this by hand, you do it essentially the same way: plot the two points and draw a line through them.

If you want to write an equation for the line, you can start with the 2-point form:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (5 -(-3))/(2 -(-4))(x -(-4)) -3

  y = 8/6(x +4) -3

  y = 4/3x +16/3 -9/3

  y = 4/3x +7/3

__

Personally, about the only thing useful I find in this equation is that it tells you the slope is 4/3. You can determine the same thing by counting grid squares between the plotted points on the graph. The line goes up 8 for each 6 to the right, so slope = rise/run = 8/6 = 4/3.

Pls help ASAP, I will make you brainliest (number 13.)

Answers

Answer:

Hey there!

60x=360

x=6

Let me know if this helps :)

Hi there! :)

Answer:

Formula: 60t = 360

Solved: t = 6 hours.

Given:

Speed of car = 60 mph

Total distance = 360 miles

Remember, the formula to solve for time (t) given distance (d) and speed (s)  is t = d / s, or t · s = d.

Substitute in the known values, and let "t" represent the time needed:

60 · t = 360

Solve:

60t/60 = 360/60

t = 6 hours.

find the value of
a if 3x+ay=6​

Answers

I guess =ay=6-3x= ay/y=6-3x/y= a=6-3x/y

Answer:

[tex]\huge\boxed{\sf a = \frac{6-3x}{y} }[/tex]

Step-by-step explanation:

3x + ay = 6

Subtracting 3x to both sides

ay = 6 - 3x

Dividing both sides by y

[tex]\sf a = \frac{6-3x}{y}[/tex]

ethan made a rectangular prism that has a volume of 16 cubic inches. What is one set of possible dimensions for ethans rectangular prism?

Answers

Answer:

  0.5 inches by 0.5 inches by 64 inches

Step-by-step explanation:

Any three positive dimensions that have a product of 16 will be a set of possible dimensions. There are an infinite number of them. One such is listed above.

(If you have a list of answer choices, you can multiply them out to see which have a product of 16. We cannot guess what your choices might be.)

A population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, which function represents the number of caribou in the forest in t years?

Answers

Answer:

P(t) = 258( 1 + 6%)^t

Step-by-step explanation:

Given that the  population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, the function representing the number of caribou in the forest in t years will be

P(t) = 258( 1 + 6%)^t

Since it is increasing, it will be 1 + 6%

Where P(t) is the function representing the population after t years.

258 is the current or initial population.

I need help I got this wrong

Answers

Solution :

y = -2|x +1|

→ |x + 1| = -y/2

→ x+1 = y/2

and

x + 1 = -y/2

→ x + 1 belongs to R

→ x belongs to R

Domain = R

Range = y = -2(R)

→( -∞ , 0)

the sum of 2 numbers is 16, and the sum of their squares is 146. find the 2 numbers

Answers

Step-by-step explanation:

x + y = 16 (*)

x^2 + y^2 = 146 (**)

(*) <=> x= 16-y

substitute x = 16 - y

(**) <=> (16-y)^2 + y^2 = 146

<=> y^2 - 2.16.y + 16^2 + y^2 = 146

<=> 2y^2 - 32y + 110 = 0

<=> y^2 - 16y + 55 = 0

<=> (y-11)(y-5) = 0

<=> y=11 or y= 5

For y = 11, we have x= 16-11=5

For y=5, we have x= 16-5=11

Answer: (x,y) = (11,5) ; (5,11)

Type a simplified fraction as an answer. PLEASE ANSWER I AM BEGGING!!!!!!

Answers

50/36 just keep dividing the numbers by two

Answer:

0.06944444444 as a fraction equals 6944444444/100000000000

what is 700,000 is blank times as much as 700

Answers

Answer:

700,000 is 1000 times as much as 700

Step-by-step explanation:

700,000 divided by 700 is 1000

Answer:

The answer wouldn't be 100 but it would be 1000

Hoped I helped

3 Question 4 (1 point) Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the following polynomials? - 2x^3+13x^2+3x-54 2x^2-3 2x^3+12x-3x+54 O-2x^2+15 Question 5 (1 point) Find the area of the shaded region.​

Answers

Answer:

  -2x^3 +13x^2 +3x -54

Step-by-step explanation:

The product is found using the distributive property.

  (x -6)(-2x^2 +x +9) = x(-2x^2 +x +9) -6(-2x^2 +x +9)

  = -2x^3 +x^2 +9x +12x^2 -6x -54

  = -2x^3 +13x^2 +3x -54

HELP
Which statement is true?
The diagram represents responses to a survey that
include statements p and g.
The number of responses for which pag is 20.
The number of responses for which pv gis 26.
The number of responses for which pig is 46.
The number of responses for which pv g is 66.
q
46
0
20

Answers

It should be the third one

Answer:

the third one

Step-by-step explanation:

46 is the common number of p and q

the sign ∩ means the intersections of 2 sets

Amy regularly works 20 hours per week at Pook's Dry Cleaners from Monday through Friday. She earns $15.50 per hour and receives double-time pay for working Sundays. Next week she will work her regular 20 weekday hours, and an additional eight hours on Sunday. What will her total pay be for the week

Answers

15.50 x 20 = $310
31 x 8 = $248
310 + 248 = $558
Her total pay for the week is $558.
Hope you got a good grade!!! :)

Total amount she earn is $558

Multiply based problem:

Given that;

Payment per hour on weekdays = $15.50

Payment per hour on Sunday = 2($15.50) = $31

Hour work on Sunday = 8 hour

Hour work on weekdays = 20 hour

Find:

Total amount she earn

Computation:

Total amount she earn = (20)(15.50) + (8)(31)

Total amount she earn = $310 + 248

Total amount she earn = $558

Find out more information about 'Total earning'.

https://brainly.com/question/25788016?referrer=searchResults

“find the value of x” please help i know the answer i just don’t know HOW to do it

Answers

Answer:

Hey there!

2x+9+103=180

2x+112=180

2x=68

x=34

Let me know if this helps :)

Answer:

34 degrees

Step-by-step explanation:

(2x+9) degrees and 103 degrees  form a linear pair

Therfore, the sum of these two angles = 180

(2x+9)+103=180

=>2x+112=180

=>2x=180-112

=>2x=68

=>x=68/2

=>x=34

The value of x is 34 degrees

9 marbles your draw one what is the probability of drawing a red pen? You have 2 yellow 3 black and 4 reds

Answers

Answer:

4 / 9

Step-by-step explanation:

There are 4 reds out of 9 so the probability would be 4 out of 9 or 4 / 9.

Answer:

None

Step-by-step explanation:

Notice how it says red pens, not red marbles. There is no red pen

Find the value of 2(1 + 4i) – (-2 + i)

Answers

Answer:

4+7i

Step-by-step explanation:

A fisherman positions his net to -8 relative to the surface of the water. how far does he need to raise the net to bring it to the surface of the water?

Answers

Answer: If i am correct the answer should be 9-10 because if it is -8 it takes 8 to bring it to 0 and it takes 9 to bring it to 1 and it takes 10 to bring it to 2.

Hope this helps!

PLEASE HELP ME I WILL GIVE BRAINLIEST!! 9 PLEASSSEEEE

Answers

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

there is a four out of nine change to get a green marble

there is a 1/2 change to get heads

[tex]\frac{4}{9}[/tex]×[tex]\frac{1}{2} =\frac{2}{9}[/tex]

A. 280 degrees
B. 190 degrees
C. 100 degrees
D. 350 degrees

Answers

D) 350 degrees
(I hope that helps - let me know if I was off on something)

Answer:

350° is ur answer mate...

The double number line below shows the price for a certain number of packs of popcorn at a store. Which statement correctly gives and explains the price of 9 packs of popcorn? Two number lines are shown one above the other. The number line on the top is labeled and marked at 2, 4, 6, 8. On the left of this number line is written Packs of Popcorn. The number line below it is labeled and marked at 14, 28, 42, 56. On the left of this number line is written Price of Packs in brackets dollar sign $18, because the price of each pack is $2 $63, because the price of each pack is $7 $108, because the price of each pack is $12 $126, because the price of each pack is $14

Answers

Answer:  B) $63, because the price of each pack is $7

Step-by-step explanation:

Packs of Popcorn      2     4      6      8

Price of Packs           14    28    42     56

We can see that the rate is constant between each set of numbers in the table.  

[tex]\dfrac{price}{packs}:\dfrac{14}{2}=\dfrac{28}{4}=\dfrac{42}{6}=\dfrac{56}{8}=\$7\ \text {per pack}[/tex]

$7 per pack x 9 packs = $63

Answer:

b

Step-by-step explanation:

Translating verbal expression: the sum of 15 and a number x.​

Answers

Answer:

x+15 or 15+x

Step-by-step explanation:

it doesn't really matter since the commutative property.

sum = addition

15 = one term

number x = second term

Area of square = 9 mm2
Perimeter of square=


Answers

Answer:

the perimeter of the square is 12 mm

Step-by-step explanation:

each side of the square is 3 mm

Perimeter of the square is 12mm

118 - [121 - (11 × 11) - (-4) - 3 - 9 - 2]​

Answers

Answer:

Step-by-step explanation:

118 - [121 - ( 11 x 11 ) - ( - 4 ) - 3 - 9 - 2]

118 - [121 - 121 + 4 - 3 - 9 - 2]

118 - [4 - 3 - 9 - 2]

118 - [1 - 9 - 2]

118 - [-8 - 2]

118 - (-10)   or   118 - 1(-10)

Negative times negative equals to positive.

118 + 10= 128

A machine is used to fill each of several bags with 16 ounces of sugar. If the bag
weights 0.3 ounces more or less than the desired weight, the bag is rejected. Write
this equation to find the heaviest and lightest bag the machine will approve.

Answers

Answer: 15.7oz < M < 16.3oz

Step-by-step explanation:

The average mass of each bag will be 16oz

If the bag weighs 0.3 oz more or less than 16 oz, then it is rejected.

Then the extremes are:

16oz - 0.3oz = 15.7oz (this mas counts as a rejected one)

So we have that the mass of the bag must be larger than 15.7oz

M > 15.7oz

Now, the other extreme is:

16oz +0.3oz = 16.3oz (again, this a rejected mass)

Then the mass of the bag must be smaller than 16.3oz

M < 16.3oz

Then the range of the accepted mass of the bags is:

15.7oz < M < 16.3oz

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