What is the solution to the system of equations below?

X+ 3y = 15 and 4x+2y= 30

O (6,3)

O (3,6).

O (7,-6)

O (-6, 7)

Answers

Answer 1

Answer:

6,3

Step-by-step explanation:

given equtions are

x+3y=15______(1)

4x+2y=30______(2)

multiplying (1) by 4

on solving, 4x+12y=60_____(3)

substracting eqution (3) and (2)

4x+12y-(4x+2y)=60-30

⇒10y=30

on solving,

y=3

substituting the value of y in equation (1)

x+3(3)=15

on solving,

x=6

Answer 2

Answer:

A

Step-by-step explanation:

(6,3)


Related Questions

A sandwich shop owner wants to survey customers about new menu options. To get the sample, the owner surveys the 4th customer of the day (with 4 being a randomly chosen value), then surveys every 10th customer after that. Which sampling method was used?


cluster sampling

simple random sampling

stratified random sampling

systematic random sampling

Answers

Answer:

Systematic random sampling

Step-by-step explanation:

This will be systematic random sampling. As in systematic random sampling, selection of elements from an ordered sampling frame takes place.

Answer:

B. Systematic random sampling

Step-by-step explanation:

Got it right. Edgen 2022

4.A board is 7 3/4 feet in length. How many full sizes pieces of board 1 1/3 feet in length can a carpenter cut from that board of wood

Answers

Answer:

5 full pieces

Step-by-step explanation:

Given

[tex]Board\ Length = 7\frac{3}{4}ft[/tex]

[tex]Pieces = 1\frac{1}{3}ft[/tex]

Required

Determine the number of pieces that can be cut from the board

This is calculated by dividing the board length by the length of each piece.

[tex]Number = \frac{Board\ Length}{Pieces}[/tex]

[tex]Number = 7\frac{3}{4} / 1\frac{1}{3}[/tex]

Convert to improper fractions

[tex]Number = \frac{31}{4} / \frac{4}{3}[/tex]

Change / to *

[tex]Number = \frac{31}{4} * \frac{3}{4}[/tex]

[tex]Number = \frac{31*3}{4*4}[/tex]

[tex]Number = \frac{93}{16}[/tex]

[tex]Number = 5.8125[/tex]

Round down to discard the decimal parts

[tex]Number = 5[/tex]

Hence, the carpenter can cut full-sized 5 pieces

Calculate and express your answer in decimal form.

a. 1/2 • 17
b. 3/4 • 200
c. (0.2) • 40
d. (0.25) • 60​

Answers

hope this helps you :))))))

Convert each percentage into a decimal and match them with the appropriate result.
32%
50%
DRAG & DROP THE ANSWER
34%
0.50
0.32
20%
2.0
0.34
3.2
0.20

Answers

Answer:

32% = 0.32

50% = 0.50

34% = 0.34

Step-by-step explanation:

0.32 = 32%

0.50 = 50%

0.34 = 34%

P.S Can I have brainliest?

32% = 0.32
50% = 0.5(0)
20% = 0.2(0)

then just match them up

Silas had 3 times as much money as Raja. Silas spent $84 of his money to buy a birthday gift for his grandma while Raja was awarded $42 for winning a competition. In the end, they had the same amount of money. How much did they have altogether at first?

Answers

Answer:

Total money they had at first $252.

Step-by-step explanation:

Let,

x be the amount Silas had originally

y be the amount Raja had originally

According to given statement;

x = 3y     Eqn 1

x - 84 = y + 42    Eqn 2

Putting x=3y in Eqn 2

3y - 84 = y + 42

3y - y = 42 + 84

2y = 126

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{126}{2}\\y=63[/tex]

Putting y = 63 in Eqn 1

x = 3(63)

x = 189

Total money they originally had = 189 + 63 = $252

Hence,

Total money they had at first $252.

Peter has 25 chickens. His uncle has 60 times as many. How many chickens does his uncle have? *

Answers

Answer:

I think you have to do 25 x 60?

Try it.

Translate (in terms of x) then solve the algebraic equation: Four more than 3 times a number is 28.

Answers

Answer:

x = 8

Step-by-step explanation:

8 * 3 + 4 = 28

3x+4=28

3x+4-4=28-4

3x=24

3x/3=24/3

x=8

Brainliest if i helped!!

At the Old Fort Boise Days Car Show there were 15 Pontiacs, 18 Chevrolets, 12 Fords ,and 5 Ramblers. What was the ratio of the Chevrolets to the Pontiacs?
a.
15:18
c.
6:5
b.
5:6
d.
18:50

Answers

Answer:

6:5

Step-by-step explanation:

What is the area of the triangle?

Answers

Answer:

[tex]10\:\mathrm{units^2}[/tex]

Step-by-step explanation:

The area of a triangle can be given as [tex]\frac{1}{2}\cdot b \cdot h[/tex]. Notice that a base of the triangle is given as 4 units, and the height is marked as 5 units. We know that the segment marked as 5 units is the height of the triangle because it forms a [tex]90^{\circ}[/tex] with the segment marked as 4 units and meets a vertex of the triangle.

Therefore, the area of the triangle is:

[tex]\frac{1}{2}\cdot 4 \cdot 5 = \fbox{$10$}[/tex].

I GIVEEEE BRAINLILSTT

Answers

Answer:

ok can i have the brain lets know or when do i get them?

Step-by-step explanation:

1 2 3 45 67 7 8 8 90 0 - 93574756907490 +++++++ .//../2823rg778gq 10900

1000000000000000 :) great JOB u MAD IT

Answer:

jyjyjyjyjt7yu7iuyhjd vubykjil,;9']0p= y

Step-by-step explanation:

tyjuoho;89u76frc ghjmo;'l978

Organizers of the town fair make a total of $706 from selling 164 hot dogs and 74 hamburgers at one of their concession stands. At their other concession stand, they make $884 by selling 256 hot dogs and 61 hamburgers. If the prices are the same at both concession stands, what is the price of a hot dog?

a. $0.04
b. $2.50
c. $3.75
d. $4.00​

Answers

Answer is $2.50

How to solve system of two equations:

First of all, we should get one variable in terms of other variable in one equation and substitute this variable in another equation. And solving that we get two variables value.

If you have two different equations with the same two unknowns in each, you can solve for both unknowns. There are three common methods for solving: addition/subtraction, substitution, and graphing.

Here,

let's consider price of hot dogs = x and price of hamburgers = y

then, 164x + 74y = $706 --- ( 1 )

and 256x + 61y = $884 --- ( 2 )

Now,  from eq - 1 we get x = ($706 - 74y) / 164

Substitute this x value in eq - 2,

256($706 - 74y)/164 + 61y = $884

=> $706*256 - 74y*256 + 61y*164 = $884 * 164

=> 180,736-8940y = 144,976

=> 180,736 - 144,976 = 8940y

=> 35,760/8940 = y

=> y = $4.

By substituting in eq - (1) we get x = $2.5

So, The price of hot dog = $2.5

Learn more about System of two equations here:

https://brainly.com/question/13631560?referrer=searchResults

#SPJ2

Answer:

$2.50

Step-by-step explanation:

Which algebraic expression represents "Mica shared her oranges equally with five friends"?

O5+w

5w. PLEASE HURRY I NEED HELP plz!!!!!

Answers

Answer:

x/5

Step-by-step explanation:

W/5 is also D. How it helps.

8x3/5 mixed number simplest form

Answers

Answer:

Mixed Number: 4 & 4/5

Simplest: 24/5

Answer:

24/5 if im not mistaking jsfjfhruhruvbj

Step-by-step explanation:

Engineering The equation for the cross section of a spotlight is y+5= 1/2x^2.

measured in inches. The bulb is located at the focus. How far is the bulb from the

Vertex of the cross section?

Answers

Answer:

[tex]p=1/2\ or\ 0.5\ inches[/tex]

Step-by-step explanation:

From the question we are told that

Equation of cross section is [tex]y+5= \frac{1}{2x^2}[/tex]

Generally the equation can be rewritten mathematically as

  [tex]y+5= \frac{1}{2}x^2[/tex]

  [tex]x^2=(y+5)2[/tex]

  [tex](x-0)^2=(y-(-5))2[/tex]

Generally the equation of a parabola with vertical axis is mathematically given by

[tex](x - h)2 = 4p(y - k)[/tex]

Therefore  comparing equations

[tex](x-0)^2=(y-(-5))2[/tex]

[tex]4p=2[/tex]

[tex]p=2/4[/tex]

The distance from the bulb to the vertex of the cross section is given by

[tex]p=1/2\ or\ 0.5\ inches[/tex]

Evaluate the expression
3x + 4y
when x = 6 and y = -1

Answers

Answer:

14

Step-by-step explanation:

3×6=18

4×(-1)=-4

18+(-4)= 14

Answer:

And=14

Step-by-step explanation:

Take x=6 and substitute in the equation 3x + 4y and y=-1

3(6) + 4(-1)= 18 + -4

=14

Express (x + 3)2 as a trinomial in standard form.

Answers

Answer:x^2+6x+9

Step-by-step explanation:

Is this graph a function or not a function?

Answers

Answer:

(NO THE GRAPH IS NOT FUNCTION)

Step-by-step explanation:

HOPE THIS HELP <3

Solve the system by substitution.
y = -7x + 6
5x + y = 2

Answers

Answer:

Step-by-step explanation:

5x+(-7x+6) = 2

-2x = 2-6

x = 4/2

x=2

y =-14+6 = -8

Which is greater 18.56 or 18.546

Answers

Answer:

18.56

Step-by-step explanation:

18.56 is greater than 18.546.

While the 1, 8 and 5 figures are the same, 6 is bigger than 4.

Find a. brainliest!!

Answers

Answer:

what are you trying to find.How many degrees to z or y

Step-by-step explanation:

You’re trying to figure out how many degrees to Z or Y

Given: B bisects EA, FE is parallel to CA, DC is parallel
to GF
Prove: Triangle BGF Triangle BDC
Which method?
E
SSS
SAS
AAS
С
OHL
וד
B
ASA
A
INTL 9:53

Answers

Answer:

Choice 3: AAS

Step-by-step explanation:

We can prove that by AAS that means we need two congruent angles and one congruent side.

The first angle will be the vertical pair <FBG and <DBC.

The second angle will be the alternate interior pair <G and <D.

The one side will be [tex]\overline{GB}[/tex] and [tex]\overline{BD}[/tex].

_+89=(6+5) what is the answer

Answers

Answer:

-78

Step-by-step explanation:

_+89 = 11 (6+5 is 11), now, lets say the blank is x

x + 89 = 11 (subtract 89)

x = -78

someone help me please!

Answers

Answer:

7/3

1

1/2

undefined

Step-by-step explanation:

1/1 ÷ 3/7 = 7/3 because you multiply the 1st fraction by the reciprocal of the 2nd

1/1 = 1

1/2 = 1/2

1/0 = undefined;  anything divided by zero is considered to be undefined

Alene wants to buy a pencil pouch the cost 16.00. She must also pay 5% sales tax. If she pays with a $20 bill,how much change will she receive back

Answers

Answer:

$3.20

Step-by-step explanation:

The price of the Pencil is $16

Tax payable on the pencil is 5%*16 = $0.8

Total amount payable is = $16 + $0.8 = $16.8.

So, If she pays with a $20 bill, then the change she will receive is $3.20 ($20 - $16.8)

Plz help. I dont know how to solve this plz.

Answers

Answer:

its 0,6

Step-by-step explanation:

you just move however much it asks

Answer:

(0,6)

Step-by-step explanation:

your basically imagining that your moving that point following the directions in the word problem. go left 3 times, go up 2 times.

Dunya randomly chooses a number from 1 to 10. What is the probability she

chooses a number less than 6?

Answers

Answer: 1/2

Step-by-step explanation:

The numbers that are less than 6 are 1, 2, 3, 4, and 5. Thus simply means that there are 5 numbers that are less than 6.

The probability that she chooses a number less than 6 will then be:

= 5/10

= 1/2

Answer:

1/2

Step-by-step explanation:

1/2

What is the period of y=-3cos(1/4x)

Answers

Answer:

Step-by-step explanation:

The standard form is y = a cos(bx + c) + d

the amplitude = |a| = 3

The period = [tex]\frac{2\pi }{b}[/tex] = [tex]\frac{2\pi }{\frac{1}{4} }[/tex] = [tex]8\pi[/tex]

What is the total angle of This?



Pls help

Answers

Answer:

180

Step-by-step explanation:

The and is 180 hope this helps :)

Please answer this correctly without making mistakes

Answers

Answer:

3 lb 7 oz

Step-by-step explanation:

Simply substract 6 lb & 3 lb , then substract 13 oz with 6 oz ..... AND YOU ARE DONE

!!! UwU gang !!!

*3ill MoB*

The volume of water in a tank is 0.7 cubic meter. Write this volume in cubic centimeter​

Answers

Answer:

11.47 in cubic centimeters

Step-by-step explanation:

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