Y=4x + 6
Y = 6x - 12

Solve the systems of equation by substitution

Answers

Answer 1

Answer:

x=9, y=42

Step-by-step explanation:

y=4x+6

y=6x-12

Substitute the second equation into the first:

6x-12=4x+6

Subtract 4x from both sides:

2x-12=6

Add 12 to both sides:

2x=18

Divide both sides by 2:

x=9

Plug this back into one of the equations to find y:

y=4(9)+6=36+6=42

Hope this helps!


Related Questions

I need help on these two questions please.

Answers

Answer:

7)x=20 8)x=19

Step-by-step explanation:

7)4x-40=2x

4x-2x=40

2x=40

x=20

8)

2x+19=3x

3x-2x=19

x=19

Identify the independent and dependent quantities in each problem solution then write a function to represent a problem situation :
Nathan is riding the scooter at a rate of 6 miles per hour​

Answers

Answer:

independent: riding the scooter

dependent: miles ridden

function: y=6x

Step-by-step explanation:

Answer:

independent: riding the scooter

dependent: miles ridden

function: y=6x

Step-by-step explanation:

Kevin thinks of a number. He adds 2 to the number, multiplies the result by 3,
and then subtracts 6. The number he ends up with is 27. What number did
Kevin start with?
If you work backward to solve this problem, what do you do first?
O A. Subtract 6 from 27
B. Add 6 to 27
C. Multiply 27 by 3
D. Subtract 2 from 27​

Answers

Answer:

The answer is B.

Step-by-step explanation:

Mark me brainiiest.

2 Points

A card game is being played and the 5 of spades, 9 of spades, and 9 of hearts

are drawn from a single deck. In order to win, the next card the player draws

from the deck must be higher than the highest card already drawn. What is

the probability that the next card the player draws is a winning card? (An ace

is considered to have a value of 1 and jacks, queens, and kings have a value

of 10.) Hint: A deck has 52 cards, 4 suits, and each suit has A, 2,3,4,5,6,7,8,

9,10,J,Q,K,

A. 25%

B. 24%

C. 32.6%

D. 8%

Answers

Answer:

C) 32.6%

Step-by-step explanation:

Given:

Total number of cards = 52

3 Cards already drawn = 5 of spades, 9 of spades, and 9 of hearts.

To win the next card drawn must be greater than the highest card already drawn.

Required:

Find the probability of winning

Here, the highest card already drawn is 9 of spades or 9 of hearts.

The cards higher than 9 of spades or 9 of hearts are four in number (10, J, Q, K). Since, we have 4 suits, the highest cards remaining are 4 * 4 = 16.

Also, a total of 49 cards are remaining since 3 cards are already drawn (52 - 3 = 49).

Therefore, the probability that the next card the player draws is a winning card: [tex]\frac{16}{49} = 0.326[/tex]

Convert to percentage:

0.326 * 100 = 32.6%

One angle is 60 degrees, the other
is 60 degrees, What is my missing
angle? What is
my
first and
last name?

Answers

hi this is my first answer

a straight angle has 180°,

here your given angle is 60+60=120°

so your missing angle is 180-120=60°

Step-by-step explanation:

The missing angle is 60° (180 - 60 - 60=60)

Its name: equilateral triangle

please be neat when answering

Answers

Answer:

In fig. 9, angle Y = angle 110° (vertically opposite angles )

Angle x = angle z = 180 - 110 = 70° (angles on a straight line)

In fig 10, angle y = 78°

Angle x = angle z = 180-78 = 102°

In fig 11, angle x = 83°

Angle y = angle z = 180-83 = 97°

In fig 12, angle y = 37°

Angle x = angle z = 180-37 = 143°

30 out of 65 students in the class are bus riders. In lowest terms,
out of
students are bus riders.

Answers

Answer:

6 out of 13 (6/13)

Step-by-step explanation:

30/65

Simplify by dividing both sides by 5

6/13

Tada!

Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72

Answers

Answer:

[tex]72[/tex]

Step-by-step explanation:

Jeremy is [tex]x[/tex] years-old.

Jeremy's grandfather is [tex]4x[/tex] years-old.

Adding their ages together will get [tex]90[/tex]

[tex]4x+x=90\\5x=90\\x=90 \div 5\\x=18[/tex]

Jeremy's grandfather age would be:

[tex]4x\\4(18)\\72[/tex]

Answer: 72

Step-by-step explanation:

Let Jeremy age be x

Granfather' age is 4x

x + 4x = 90

5x = 90

x = 90/5 = 18

Jeremy' age is 18

Granfather age is 4x = 4*18 = 72

ANSWER ASAP -4x-4/3=x-6

Answers

Answer:

x = 0.9333333

Step-by-step explanation:

-4x - 4/3 = x - 6                    Multiply through by 3

-12x - 4 = 3x - 18                  Add 12x to both sides

-12x+12x-4 = 3x+12x - 18     Combine like terms

-4 = 15x - 18                         Add 18 to both sides

-4+18=15x - 18 + 18              Combine like terms

14 = 15x                                Divide by 15

14/15 = x

x = 0.933333

What addition expression is shown on the
number line?
8
+
?
15

Answers

Answer:

Your answer is seven

the correct answer is 15 + 8.

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:

find the distance between 6,-2 and 1,-2​

Answers

The distance between (6,-2) and (1,-2) is 5.

Answer:

The distance:

[tex]d = 5[/tex]

Step-by-step explanation:

To find the distance between points [tex](6,-2)[/tex] and [tex](1,-2)[/tex], you need the distance formula:

[tex]d = \sqrt{(x_{2} - x_{2})^{2} + (y_{2} - y_{1})^{2}}[/tex]

-Use the given points [tex](6,-2)[/tex] and [tex](1.-2)[/tex] for the distance formula:

[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]

-Then, solve the formula:

[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]

[tex]d = \sqrt{(-5)^{2} + (0)^{2}}[/tex]

[tex]d = \sqrt{25 + 0^{2}}[/tex]

[tex]d = \sqrt{25 + 0}[/tex]

[tex]d = \sqrt{25}[/tex]

[tex]d = 5[/tex]

So, the distance is [tex]5[/tex].

Which point best approximates √3?

A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

Square root of 3 is between 1 and 2

1^2 =1

(sqrt(3)) ^2 =3

2^2 = 4

So it must be point B

Answer:

B

Step-by-step explanation:

Find the area of the following shapes:

Answers

Answer:

24 square units

Step-by-step explanation:

You apply area of a trapezium

A ball is thrown straight up with an initial velocity of 35.7 m/s. How long does
it take to hit the ground?

Answers

y = v₀t - gt²/2

For y=0 (back to where we started),

0 = t(v₀ - gt/2)

t=0 (which we knew) or v₀ - gt/2 = 0

v₀ = gt/2

2v₀ = gt

t = 2v₀/g

t = 2 (35.7 m/s) / (9.8 m/s/s) = 7.3 seconds

Answer: 7.3 seconds

There are 13 plates and 9 cups on a shelf in a cabinet. what is the ratio of the number of plates to the number of cups

Answers

Answer:

[tex]13 \: \: \: \: : \: \: \: \: 9[/tex]

Step-by-step explanation:

[tex]plates = 13 \\ cups = 9[/tex]

So the ratio of the number of plates to the number of cups.

[tex]plates \: \: \: \: \: : \: cups \\ \: \: \: \: \: \: \: \: 13 \: \: \: \: \: \: \: \: : \: \: 9[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Help ASAP plz will give brainliest!!!

Answers

Answer:

3/4

Step-by-step explanation:

There are 8 outcomes and 6 of them are odd.

6/8 = 3/4

Thus probability is 3/4

Answer:

3/4

Step-by-step explanation:

No. of sections = 8

No. of odd numbers = 6

Probability of getting an odd no. = 6÷8 = 3/4

Need help ?? Anyone?

Answers

Answer:

64

Step-by-step explanation:

When two angles are supplementary, their measures must add up to 180 degrees. Therefore:

x+y=180

x+116=180

x=180-116=64 degrees

Hope this helps!

Answer:

∠x = 64°

Step-by-step explanation:

∠x+∠y=180°

∠x+116°=180°

Subtract 116° from both sides

∠x=64°

Sue wants 1/2 of a rectangular pan of cornbread. Dena wants 1/3 of the same pan of cornbread. How should you cat the cornbread so that each of the girls gets the size portion she wants?

Answers

Answer:

in thirds so Dena gets 1/3 and Sue gets 2/3 which is half

Step-by-step explanation:

In which of the following equations is the distributive property correctly applied to
the equation x(y + 2) = 5?
O a) zy+22=5
16) y +2=
c) xy + 2x=52
d) 2rys=5

Answers

Answer:

None, unless c was a typo

Step-by-step explanation:

Distributing gets us xy+2x=5

None of the options is that

If you meant option c as xy+2x = 5 though, then it would be correct

How many ways can the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members?
a.
Permutation; Subscript 28 Baseline P Subscript 4 Baseline = 491,400
b.
Permutation; Subscript 24 Baseline P Subscript 4 Baseline = 255,024
c.
Combination; Subscript 28 Baseline C Subscript 4 Baseline = 20475
d.
Combination; Subscript 24 Baseline C Subscript 4 Baseline = 10626

Answers

Answer:

A)[tex]^{28}P_4}=491400[/tex]

Step-by-step explanation:

Total number of members = 28

We are supposed to find the no. of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members

When 1 member is selected for Chairman position

So, 27 members will be left for the selection for the position of Vice chairman

When 1 member out of 27  is selected for Vice chairman position

So,26 members will be left for the selection for the position of secretary

When 1 member out of 26  is selected for secretary position

So,25 members will be left for the selection for the position of treasurer

Permutation relates to the act of arranging all the members of a set into some sequence or order,

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.

So, we will use permutation over here

Formula [tex]^nP_r=\frac{n}{(n-r)!}[/tex]

Substitute n = 28 and r = 4

So,[tex]^{28}P_4=\frac{28!}{(28-4)!}=491400[/tex]

So, Option A is true

A)[tex]^{28}P_4}=491400[/tex]

Hence There are 491400 ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members.

The number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.

The given parameters

Number of members = 28 Number of positions = 4

Total arrangement of the different positions available

[tex]nP_r =\frac{n!}{(n- r)!}[/tex]

[tex]28 P4 = \frac{28!}{(28-4)!} = \frac{28!}{24!} = 491,400[/tex]

Thus, the number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.

Learn more about permutation here: https://brainly.com/question/3086912

can someone please help me on this question?

Answers

Answer:

The second figure is rhombus but the first figure is square

Match each equation to the situation it represents.

Answers

Answer:

Step-by-step explanation:

1) Kate:

Number tickets  = x

Cost of 10 tickets = 10x

Parking fee = $ 5

Total money spend = $ 35

10x + 5 = 35

2)Ram:

Number of pen given to a friend =x

Number of pen given to 5 friends = 5*x = 5x

Number of pens left with him = 10

Total pens he had before giving to his friends = 35

5x + 10 = 35

Answer:

Left. Right

1. - c

2. - b

3 - a

Angle α is in quadrant III, and angle β is in quadrant II. If sin α = –4∕5 and sin β = 1∕2, find cos (α + β).

Answers

Answer:

cos (α + β) = 0.9196

Step-by-step explanation:

Given sin α = –4∕5 and sin β = 1∕2

To get α from sin α = –4∕5,

α = arcsin(-4/5)

α = arcsin (-0.8)

α = -53.13°

If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)

Similarly for sin β = 1∕2

β = arcsin(1/2)

β = arcsin(0.5)

β = 30°

Since  β is in quadrant II,  β = 180-30 = 150°

To find  cos (α + β). where α = 233.13° and  β = 30°

cos (α + β)= cos (233.13 + 150)

= cos 383.13°

cos (α + β) = 0.9196

This tennis ball has an diameter of 2.7 inches. What is the volume of this tennis ball? Use 3.14 for π and round your answer to a whole number.

Answers

Answer:

V = 10 in^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We have the diameter

r = d/2 = 2.7/2 =1.35

V = 4/3 ( 3.14) (1.35)^3

V =10.30077

Rounding to the nearest whole number

V = 10 in^3

Answer:

10 in^3

Step-by-step explanation:

In a right triangle, Sin (30 + x) º = Cos (3x) º. What is the value of x?

Answers

Answer:

[tex]x=15^\circ[/tex]

Step-by-step explanation:

In a right triangle:

[tex]\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)[/tex]

Therefore, given:

[tex]Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ[/tex]

Help Immediately! +10 points!
What is the surface area of the figure?
A. 12cm
B. 24cm
C. 28cm
D. 42 cm

Answers

Answer:

B: 24 cm

Step-by-step explanation:

The triangle is ((4*3)/2). The squares are 12 (3*4) and 6 (1.5*4)

Answer:

24 cm^2

Step-by-step explanation:

We can find the area of the figure, surface area is for three dimensional figures

The area of the triangle is

A = 1/2 bh

A = 1/2 (3) *4 = 6

The area of the top rectangle is

A = l*w = 3 * (8-4) = 3* 4 = 12

And the area of the bottom rectangle

A = l*w = 1.5 ( 8-4) = 1.5*4 =6

The total area is the sum of the individual areas

6+12+6 = 24

24 cm^2

i really need this plz plz will mark bianleast
Point S is translated left 8, down 4.
Which is the coordinate pair for the translated point S'?




(8, 4)

(4, –1)

(–8, –4)

(–4, –1)

Answers

(-4, -1). You are just sliding point S left 8 units from 4 to -4, then down 4 units from 3 to -1.

Answer:

(–4, –1)

Step-by-step explanation:

Since, S is translated left 8 and down 4, therefore x and y coordinates would be - 4 and - 1 respectively.

Hence, the coordinate pair for the translated point S' are (–4, –1).

what is the difference for -22 - (-26)​

Answers

Answer:

4

Step-by-step explanation:

calculate the surface area of the following shape

1. 450cm2
2. 294cm2
3. 358cm2
4. 716cm2

Answers

Answer:

210cm2

Step-by-step explanation:

Area of rectangle: HxW

Area of Triangle: 1/2 x bx h

There are 3 rectangles with the length of 14x3

14x3x3

= 14x9

= 126cm2

There are two triangles with the height of 12 and base of 14.

1/2x 14x 12

= 1/2x 168

= 168/2

= 84cm2

Now finally add them together:

84+126

= 210cm2

I just put the answer in the come t
Other Questions
Write a police report for one ofShelters victims think aboutwhat notes the police would makefor a disappearance..Stone cold What is the volume of a rectangular prism with a length of 5 ft, width of 6 ft and a height of 4.5 ft ? Whats the logarithmic form equation? 8.Which statement is true about Portuguese exploration? Math revision part 4 tensions for the cold war began here during the only meeting of truman and stalinA. BERLINB. YALTAC. MUNICHD. POTSDAM What are your perceptions of Joseph Stalin as a leader? Screening Model. Assume that the following criteria relevant to the process of screening various project opportunities are weighted in importance as follows: Quality (5) Cost (3) Speed to Market (7) Visibility (5) Reliability (1)Our company has four project alternatives that satisfy these key feature as follows: Alpha Bete Gamma Delta Quality 1 3 3 5Cost 7 7 5 3Speed 5 5 3 5Visibility 3 1 5 1Reliability 5 5 7 7Construct a project screening matrix to identify among these four projects the most likely candidates to be implemented. How long can foodborne illnesses last Which statement about the nervous system is true? If Larry gets 5% of 80 questions wrong, how many did he get correct? Provide an explanation :)A. 8B. 70C. 4D. 76 1. Locate FOUR websites: one commercial, one educational, one recreational, and one of your personal choice. 2. After viewing each of the websites, explain how each of the following is used in the website: Text: Summarize the content of the text and discuss word choice. Visual Elements: Discuss the visuals, colors, graphics, shapes, and patterns used. Sound Effects: Discuss any audio media used: music, sound effects, voice-overs, etc. Interactive Elements: Discuss level of user participation. Formality and Tone: Assess the formality and tone of the website. Example: Funbrain Text: Explains concepts in simple terms; uses conversational language Visual Elements: Bright colors; exciting visuals (animals, cartoons); font makes text more appealing; background pattern shows graphic of brain Sound Elements: No sound effects, music, or voice-overs used Interactive Elements: Highly interactive website, including games to practice all areas of study Formality and Tone: Informal language, exciting tone; appeals to younger children which of the following rational functions is graphed below? Why mosquitoes bite us only at night I want to buy a car for $1150.00. I earn $5.25 per hour. How many hours must work to buy the car if all my earnings go for this purchase? The is used for an event that will continue to occur in the future until a specific time.simple futuretuture perfecttuture progressivefuture perfect progressive Which of these testers check for cross-platformcompatibility?A. lead testerB. compatibility and format testersC. production, QA, and regression testersD. focus testersThe correct answer is Option B. #PlatoLivesMatter 1.OSHA is an agency responsible for workplace safety, read its rule and sketch a diagram that shows the proper relationship between the ladder, wall and ground If DEER becomes 45518, what does 25118 become? Benda setinggi 3 cm diletakkan pada jarak 10 cm di depan cermin cekung yang berjari-jarikelengkungan 10 cm. Tentukan: Jarak bayangan Perbesaran bayangan Sifat bayangan