Solve the following system:

y = x + 3
4x + y = 18

Your answer:


(6, 3)

(3, 6)

(−3, 6)

(3, −6)

Answers

Answer 1

Answer:

B (3,6)

Step-by-step explanation:

y = x + 3

then we will use this y to substitute the other y

4x + y = 18

4x + (x +3) = 18

4x + x + 3 = 18

5x = 18 - 3

5x = 15

x = 15/5 = 3

then we can find the value of y

y = x + 3 = 3 + 3 = 6

so the (x,y) is (3,6)


Related Questions

Arrange the following ratios in descending order: 2:3, 3:4, 5:6, 1:5 5:6 > 3:4 > 2:3 > 1:5 1:5 > 2:3 > 3:4 > 5:6 2:3 > 1:5> 5:6 > 3:4 5:6 >1:5 > 3:4 > 2:3

Answers

Answer:

Option A.

Step-by-step explanation:

The given ratios are 2:3, 3:4, 5:6, 1:5.

We need to arrange these ratios in descending order.

Fraction form of given ratios are

[tex]\dfrac{2}{3},\dfrac{3}{4},\dfrac{5}{6},\dfrac{1}{5}[/tex]

First find LCM of denominators.

[tex]LCM(3,4,6,5)=60[/tex]

Now, make denominator common, i.e., 60.

[tex]\dfrac{2\times 20}{3\times 20},\dfrac{3\times 15}{4\times 15},\dfrac{5\times 10}{6\times 10},\dfrac{1\times 12}{5\times 12}[/tex]

[tex]\dfrac{40}{60},\dfrac{45}{60},\dfrac{50}{60},\dfrac{12}{50}[/tex]

Now, arrange numerator in descending order.

[tex]50>45>40>12[/tex]

[tex]\Rightarrow \dfrac{50}{60}>\dfrac{45}{60}>\dfrac{40}{60}>\dfrac{12}{50}[/tex]

[tex]\Rightarrow \dfrac{5}{6}>\dfrac{3}{4}>\dfrac{2}{3}>\dfrac{1}{5}[/tex]

[tex]\Rightarrow 5:6>3:4>2:3>1:5[/tex]

Therefore, the correct option is A.

Find the equation of the line through point (-4,-4) and perpendicular to 2x+3y=3

Answers

The answer is:

2y=3x+4

The age of father is three times the age of son. If the age of son is 15 years old, then the age of father is:
50 years
55 years
45 years
40 years

Answers

It’s 45 years old sorry,if I’m wrong.
The age of the father is 45 years


A man divided some apples among his two children and himself. If the man took 3 apples for
himself and divided the remaining apples evenly between each of his children and each child had
fewer than 5 apples. How many apples were there originally?

Answers

Answer:

15

Step-by-step explanation:

11. An airline charges $20 to check a piece of luggage up to 23 kilograms. For excess weight, it charges $5 more per kilogram. The airline rounds up to the next whole kilogram (a piece of luggage weighing 24.1 kg would be charged as 25 kg). The airline doesn't accept luggage over 32 kg. Which of the graphs below represents this information as a function?

Answers

Answer:

i believe it is b

Step-by-step explanation:

Draw line l and three points on l. How many segments are formed? Name all of them.

Answers

Answer:

In the picture attached, line l and the three points are shown. 3 segments are formed, namely, segments AB, BC and AC.

Step-by-step explanation:

A segment has two endpoints. With 3 points on the line, there are 3 segments, AB, BC and AC; each of them includes 2 points.

Multiply (u-6w-2)(2u+5w)

Answers

Answer:

[tex]=2u^2-7uw-30w^2-4u-10w[/tex]

Step-by-step explanation:

[tex]\left(u-6w-2\right)\left(2u+5w\right)\\Distribute\:parentheses\\=u\cdot \:2u+u\cdot \:5w+\left(-6w\right)\cdot \:2u+\left(-6w\right)\cdot \:5w+\left(-2\right)\cdot \:2u+\left(-2\right)\cdot \:5w\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=2uu+5uw-6\cdot \:2uw-6\cdot \:5ww-2\cdot \:2u-2\cdot \:5w\\\mathrm{Simplify}\:2uu+5uw-6\cdot \:2uw-6\cdot \:5ww-2\cdot \:2u-2\cdot \:5w:\quad 2u^2-7uw-30w^2-4u-10w\\=2u^2-7uw-30w^2-4u-10w[/tex]

Choose all sets that contain the number 5.

Answers

This should be the correct answer

All except irrational numbers

Step-by-step explanation:

Fill in the blank with the appropriate angle:
Given: AB and CD, transversal EF
∠BGH and _____ are same side interior

Answers

Answer:

∠DHG

Step-by-step explanation:

Same side interior angles refers to the pair of angles which are inside the two "parallel" lines and at the same side of the transversal line.

Notice that angles BGH and DHG are same side interior angles. Similarly, angles AGH and CHG are also same side interior angles.

Therefore, the right answer is ∠DHG.

i need to fill in the blanks for these

Answers

Answer:

the median for A is 26 and the mean for B is 24

Step-by-step explanation:

since 24 and 28 are both in the middle we need to find the mean of 24 and 28 to find A's median.

18+19+21+25+29+32=144

144 divided by the # of terms 6 gives our mean 24 for B.

B
3
35°
А
с
?
AC =
Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

tan 35=3/x

tan 35 x =3

x=3/tan 35

x=4.28

just double check this because I'm not quite sure

Answer:

AC = 4.28

Step-by-step explanation:

Khan Academy

What is the weight of a square if a triangle weighs 4 grams? Explain your reasoning

Answers

Answer:

8 grams

Step-by-step explanation:

The balance is in equilibrium, so the weights of the two sides are equal.

Let the weight of a square be s.

Left side: 2s + 4

Right side: s + 3(4) = s + 12

The weights are equal, so we set the two expressions equal.

2s + 4 = s + 12

s = 8

Answer: The weight of a square is 8 grams.

Kite K N M L is shown. Sides L K and K N are congruent. The length of L K is 2 y + 5 and the length of K N is y + 10. Sides N M and M L are congruent. The length of N M is 2 x + 6 and the length of M L is 3 x minus 1. What are the lengths of sides KN and NM of the kite? KN = units NM = units

Answers

Answer:

kn=15

nm=20

Step-by-step explanation:

The lengths of sides KN and NM of the kite

KN =  15   units

NM =   20 units

What is kite's shape?

A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.

Given:

KLMN is a kite.

According to the given kite,

KN = KL........ (1)  

and LM = NM........ (2)

From equation (1)

y + 10 = 2y + 5

y = 5.

Now,

3x -1 = 2x + 6

x = 7

We get,

LM = MN = 20

KN =  15   units

NM =   20 units

To learn more about the kite's shape;

https://brainly.com/question/20955975

#SPJ6

Find f(-5) if f(x)=lx+1l
A.6
b.5
c.4​

Answers

Answer:

its C

Step-by-step explanation:

f(x) = |(-5)+1|

f(x)=|4|

absolute value of 4 is 4

Answer:

f(x)=|x+1|

f(-5)=|-5+1|

f(-5)=|-4|

f(-5)=4. As a result, f(-5)=4 is the correct answer. Hope it help!

Step-by-step explanation:

a) write in simplified form the value of the area of the trapesoid.​

Answers

Answer:

[tex]A=\frac{x^4y^9+3x^4y^9}{2}4x^2y^5=2x^4y^9(4x^2y^5)=8x^6y^{14}[/tex]

One circle labeled internet 9 overlaps another circle labeled T V 12. The overlap is labeled 26. A 4-column table with 3 rows. The first column has no label with entries T V, not T V, total. The second column is labeled internet with entries 30, 11, 41. The third column is labeled not internet with entries 5, 4, 9. The fourth column is labeled total with entries 35, 15, 50. Students from School A and School B were asked whether they watch TV or use the Internet after finishing their homework. The Venn diagram and the two-way table show the results from the two surveys. Which statement is true? More students do both activities at A than at B. More students watch TV at B than at A. More students do neither activity at B than at A. More students were surveyed at A than at B.

Answers

Answer:

C

Step-by-step explanation:

edg2020

Answer:

C: More students do neither activity at B than at A.

Step-by-step explanation:

edg2021

will mark bianleast plz plz i really need this
The histogram shows the number of books read by people participating in a local book club. Which statement is best supported by this histogram?


Six people read more than 2 books.

Six people read between 6 and 8 books.

Most people read 3–5 books.

Three people read zero books.

Answers

Answer:

Six people read more than 2 books.

Step-by-step explanation:

Hope that helps

six people read more than 2 books, this is best supported by the histogram because 2 people read 3-5 and 4 read 6-8 books and this makes a total of 6 people because 2+ 4 = 6 which would come to the conclusion that six people read more than 2 books

Please help me with this

Answers

Answer:

Bottom left

Step-by-step explanation:

For it to be scalene, all 3 sides must be of different length, so cross off D. Acute means all angles are less then 90°, so cross off the top 2.

The Bottom left triangle is both acute and scalene

Find the area of a 1/4 circle with a diameter of 8

Answers

Answer:

[tex]12.57units^2[/tex]

Step-by-step explanation:

[tex]\\A=1/4\pi r^2\\=1/4\pi 4^2\\=4\pi \\4\pi =12.56637\\12.57units^2[/tex]

Answer:

12.57

Step-by-step explanation:

Test each of the following for divisibility by 2, 3, 4, 5, 6, 8, 9, and 10.
2) 620
1) 346
3) 3,420
4) 8,244

Answers

The answer is 3 for all of them

what does BC equal ?

Answers

Answer:

28

Step-by-step explanation:

bc = df x 2

14 x 2 = 28

I hope this helps

Please and thank you!! 25 points!!

Answers

Answer:

1. 5

2. 6

3. 1

4. 4

5. 2

6. 3

Step-by-step explanation:

→Number 1 is paired with explanation 5, because it explains how a certain pair can be associated with one another, and provides the example of corresponding angles.

→Number 2 is paired with explanation 6, because the explanation states how angles are paired with one another based on the correspondence between them.

→Number 3 is paired with explanation 1, because the explanation states how sides are paired with one another based on the correspondence between them.

→Number 4 is paired with explanation 4, because the explanation is talking about how figures can be congruent to one another.

→Number 5 is paired with explanation 2, because the explanation states the definition of an included angle.

→Number 6 is paired with explanation 3, because the explanation states the definition of an included side.

The diameter of a circle is 5ft. Find the circumference to the nearest tenth

Answers

Answer:

Answer is 16 ft.

The answer is rounded to the nearest tenth place.

Step-by-step explanation:

[tex]given \: that \: \\ diameter \: of \: circle \: = 5 \: ft \\ then \: radius \: = \frac{5}{2} \: ft \\ we \: know \: that \\ circumferece = 2\pi \: r \\ on \: substiuting \: r= \frac{5}{2} \: ft \ \\ in \: formula \\ circumferece = 2\pi \times \frac{5}{2} \\ = 5\pi \\ substiuting \: \pi = 3.14 \\ = 5(3.14) \\ = 15.7079 \\ = 15.708 \\ when \: it \: is \: rounded \: off \: to \: nearest \: tenth \\ we \: get \: 16 \: ft\: as \: the \: answer.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

The circumference of the circle having a diameter of 5 ft will be 15.7 ft.

What is circumference?

The easiest way to find the perimeter for any shape is to add up the lengths of all the sides, but a circle only has one side, so that isn't possible. If you don't know its circumference, you also don't know the length of that side.

Fortunately, we can use a formula that uses other properties of a circle to find its circumference. In fact, there are two different formulas for circumference we can use and they look like this:

C = 2πr

Here the diameter of the giver circle is 5 ft so the radii will be 2.5 ft

By putting the value of radius in the formula we get

[tex]C=2\pi r[/tex]

[tex]C=2\pi \times 2.5=15.7\ ft[/tex]

Hence the circumference of the circle having a diameter of 5 ft will be 15.7 ft.

To know more about circumference follow

https://brainly.com/question/20489969

Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, f(x), as it relates to the number
of miles driven, x, is shown in the graph
​due today

Answers

The answer is f(x)=1/2x+25

2|x-7|=8 solve the equation​

Answers

Answer:

2x - 7 = 8

2x = 8 + 7

2x = 15 (divide both sides by 2 to get x)

2x/2 = 15/2

x = 7.5

Step-by-step explanation:

Answer:

11, 3

Step-by-step explanation:

Substitute 11

2|11-7|=8

2|4|=8

8=8

Substitute 3

2|3-7|=8

2|-4|=8

2x4=8

8=8

1. There are 15 girls and 12 boys in Mrs. Johnson's mathclass. Express the ratio of boys to girls in simplest form.

Answers

Answer:

4        :5

Step-by-step explanation:

boys : girls

12      : 15

Divide each by 3

12/3    : 15/3

4        :5

What is the absolute value of -12 – 5?

Answers

Answer:

17

-12 - -5 = -17

-17 is 17 numbers away from 0 so 17 is the answer

Hope this helps

Step-by-step explanation:

53!
The equation d = is can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an
equivalent equation solved for V?

Answers

Answer:

V = m/d

Step-by-step explanation:

d = m/V, m = mass and V = volume

We want to solve for V

Multiply each side by V

dV = m/V *V

dV = m

Divide each side by d

dV / d = m/d

V = m/d

Which expression is equivalent to Two-thirds x minus one-half y minus four-fifths? One-third x minus one-fourth y minus four-fifths + one-third x + one-fourth y One-third x minus one-fourth y minus four-fifths + one-third x minus one-fourth y One-third x minus one-fourth y minus one-fifth minus one-third x minus three-fifths minus one-fourth y One-third x minus one-fourth y + two-fifths + one-third x minus two-fifths minus one-fourth y

Answers

Answer:

The correct answer is B or

One-third x minus one-fourth y minus four-fifths + one-third x minus one-fourth y

Step-by-step explanation:

I just took the test

Answer:

It's B aka -2x - 3.

Step-by-step explanation:

Triangle ABC has measures a = 2, b = 2, and mzA = 30°.
What is the measure of angle B?
15°
30°
45°
60°

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If the lengths of a and b are equal, the degrees of the angles should also be equal.

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