3x + y = 10
x = 2y + 1

simplifying

Answers

Answer 1

Answer:

y = 1 , x = 3

Step-by-step explanation:

3x + y = 10

x = 2y + 1

3(2y + 1) + y = 10

6y + 3 + y = 10

7y = 7

y = 1

x = 2(1) + 1

x = 3


Related Questions


The scale factor from a small triangle ABC to a large triangle XYZ is 5. How many times larger will the perimeter of triangle XYZ be than
the area of triangle ABC?

Answers

Answer:

Answer below :)

Step-by-step explanation:

Hi there!

Question 4 - the answer will be 5. Since the scale factor is 5, we would (hypothetically) multiply the area by 5 to get the new area of XYZ, so area XYZ is 5 times the area of ABC.

Question 5 - A.

First we multiply 45 by 12 to find the amount in inches. This is 540. Now, we divide that by 6 to get 90. This is our scale factor in inches, but the answers only show the scale in feet, so we have to convert. Divide 90 by 12 to get 7.5.

I hope this helps!

A rental car company charges $68.64 per day to rent a car and $0.12 for every mile driven. Jaxon wants to rent a car, knowing that: • He plans to drive 500 miles. • He has at most $210 to spend. What is the maximum number of days that Jaxon can rent the car while staying within his budget?​

Answers

Answer:

2 days

Step-by-step explanation:

According to the problem, calculations of given data are as follows,

Rental charges per day = $68.64

Rental per mile = $0.12

Total miles = 500

Total spend = $210

Let number of days = X

So, we can find number of days by using following equation,

($68.64 × X ) + ( $0.12 × 500) = $210

$68.64 X + $60 = $210

$68.64 X = $210 - $60

$68.64 X = $150

X = $150 ÷ $68.64

X = 2.18 or 2 Days

Write a unit rate for the following situation. $54 for 3 every guests

Answers

Answer:

Step-by-step explanation:

It's 18 dollars per guest with 54:3

Frank Catton, the general manager of Billybob's floating raft hotel and Casino in Tunica Mississippi, has installed the "The Wheel of Doughnuts" at the check in desk. When you check in, you spin the wheel and a plate containing that many hot

doughnuts is delivered to your room the next moming for free. If your spinlands on an orange slot you get free hot chocolate too

(Give a fraction or round to 1 decimal place)

A. What is the probability that you get 7 doughnuts and hot chocolate? I

8. What is the probability that you get 7 doughnuts or hot chocolate?

Answers

Answer:

P( 7 doughnuts or hot chocolate)=0.40

Step-by-step explanation:

From the question we are told that

Total number of plates [tex]n=10[/tex]

1)Generally the probability that you get 7 doughnuts and hot chocolate is mathematically given as

7 doughnuts and hot chocolate= 1 slot

Therefore

P( 7 doughnuts and hot chocolate)= 1/10

P( 7 doughnuts and hot chocolate)= 0.10

2)Generally the probability that you get 7 doughnuts or hot chocolate is mathematically given as

P( 7 doughnuts or hot chocolate)=P(7 doughnuts)+P(hot chocolate)-P( 7 doughnuts and hot chocolate)

1 plates contains 7 doughnuts

P(7 doughnuts)=1/10

P(7 doughnuts)=0.10

4 plates contain hot chocolate

P(hot chocolate)=4/10

P(hot chocolate)=0.4

7 doughnuts and hot chocolate= 1 slot

P( 7 doughnuts and hot chocolate)= 1/10

P( 7 doughnuts and hot chocolate)= 0.10

Therefore

P( 7 doughnuts or hot chocolate)=0.10+0.4-0.10

Therefore

P( 7 doughnuts or hot chocolate)=0.40

The probability of getting 7 doughnuts or hot chocolate is 0.4

Which angle is a vertical angle with O O O O

Answers

Answer:

angle AFB

Step-by-step explanation:

please make me billent

The answer is angle AFB

what is 5 divided by 3/4 in simplest form

Answers

6 2/3 i hope this helped you c:

y=5x+7 and passes through (4,3)

the answer is y=5x-17

How do you get the -17?

Answers

Answer:

i do not no i do not no

Step-by-step explanation:

The farmer down the street has an orchard with both orange and grapefruit trees. Over the weekend, she collected 49 oranges and 84 grapefruits. She wanted to make baskets to sell at the local farmer's market with an equal number of oranges and grapefruits in each basket. What is the greatest number of baskets she can make.

Number of baskets she can make with an equal number of fruits in each basket?

Number of oranges in each basket?

Number of grapefruits in each basket?

Answers

Answer:

30 baskets

Step-by-step explanation:

Find the gfc of 150 and 240, you'll find that it is 30

The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

(x₁, y₁)(x₂, y₂)

Using the formula  to determine the slope between (x₁, y₁) and (x₂, y₂) of the linear function

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

For example, let the points be

(x₁, y₁) = (1, 2)

(x₂, y₂) = (3, 4)

Determining the slope between

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [4 - 2] / [3 - 1]

               = 2 / 2

               = 1

Thus,

The slope of the line between the points (1, 2)  and (3, 4)  will be: m = 1

Help qwq I still don’t understand THIS

Answers

Answer:

Start at 5 and move 8 units to the left

Step-by-step explanation:

5 -8

Start at 5 on the number line

We are subtracting 8

Move 8 units to the left

You will end of at -3

Including Jose, there are eight people in his family. If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?

Answers

Answer:

840 ways

Step-by-step explanation:

From the above question, we are told that order matters, hence, to solve the above question, we use the Permutation formula.

P(n, r) = nPr = n!/(n -r)!

From the above question,

Since Jose is included in the 8 people and he takes the first seat

n = 8 - 1 = 7 people

r = 5 - 1 = 4 seats

This is because, once Jose takes the first seat, there are 4 seats left with 7 people waiting to be seated

Hence,

7P4 = 7!/(7 - 4)!

7P4 = 7!/3!

7P4 = 5040/6

7P4 = 840 ways

Answer:

840

Step-by-step explanation:

edg 2021

What i 9X3? what is the correct answer

Answers

the answer is 9x3= 27

The simplification of the given expression 9 x 3 is equal to 27.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is to determine the product of two or more numbers. If an event can occur in m different ways and if following it, that a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We don not write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together.

We are given the number as 9 x 3

WE can see that the number is multiple of 3

Therefore by using simplification we get;9 x 3 = 27

Hence, the answer is 27.

Learn more about multiplications;

https://brainly.com/question/14059007#SPJ2

and no boxes were removed, all the boxes in the warehouse were arranged in stacks of 14 boxes each, with no boxes left over. How many boxes were in the warehouse before the 60 additional boxes arrived

Answers

Answer:

360 boxes

Step-by-step explanation:

The number of boxes in the warehouse before 60 boxes were added is;

n = 12k ....  equation 1

where k is the constant of the number of stacks and n is the number of boxes.

The number of boxes after the 60 boxes were added is;

n + 60 = 14k ... equation 2

substitute the value of n in equation 2 for equation 1:

12k + 60 = 14k

60 = 14k - 12k

60 = 2k

k = 60 / 2 = 30

The number of boxes in the warehouse before 60 boxes was added is;

n = 12 * 30 = 360

Is -8 = 8

A. One solution
B. Two solutions
C. Infinitely many solutions
D. No solution

Answers

No solution

The answer is D

A farmer estimated that there were 25 gallons of water left in the tank. If this is an understatement by 16%, how much water was actually left in the tank

Answers

Answer:

29.76 is ur answer

Step-by-step explanation:

Write 4:1 in the form 1:n

Answers

Answer:

it wil be equal to :

1 : 0.25 or 1 : 1/4

Answer:

1:0.25

Step-by-step explanation:

To get the left from 4 to 1 we have divided by 4. This means we also have to divide the right side by 4. 1/4 = 0.25

A number cube has sides numbered 1 through 6 the probability of rolla 2 is 1/6 what is the probability of not rolling a 2

Answers

Answer:

5/6

Step-by-step explanation:

It would be 5/6 because there are 5 possible answers other than 3 making it 5/6

Which expression is equivalent to –8 a (-4+2) b (-4-3) c (-4-2) d
(-4+1)​

Answers

Answer:

(-4-4)...............

(-16+8)..............

2 < X < 8
x is an integer.
Write down the possible values of x.

Answers

answer: 3, 4, 5, 6, 7

The unit price of a shirt is $12. The cost, c, of n shirts is represented by the equation c = 12n. Select the value that belongs in the highlighted box.

$2
$3
$18
$48
$60
$72

Answers

answer is 60 i believe

The histogram shows how many pairs of sneakers are on sale at the local shoe store. How
many pairs of sneakers smaller than size 8 are on sale?
Sneaker Sale
Number of Palrs
20
18
16
14
12
10
8
6
4
2
0
2-4
5-7
8-10
11-13
Sneaker Size
14
22
37
49

Answers

Answer: 22

Step-by-step explanation:

Find the value of x, giving reasons for your answer:

Answers

Answer:

x = 55

Step-by-step explanation:

[tex](x + 40) \degree = (150 - x) \degree \\ (vertical \: \angle s) \\ \\ x + 40 = 150 - x \\ \\ x + x = 150 - 40 \\ \\ 2x = 110 \\ \\ x = \frac{110}{2} \\ \\ x = 55[/tex]

Answer:

x = 55°

Step-by-step explanation:

When any 2 lines intersect each other at one point , the vertically opposite angles are always equal. Hence ,

[tex]150 - x = x + 40[/tex]

[tex] = > x + x = 150 - 40[/tex]

[tex] = > 2x = 110[/tex]

[tex] = > x = \frac{110}{2} = 55[/tex]

I need help what is 15 times 238

Answers

Answer:

hello.....................

Step-by-step explanation:

Answer:

3,570

Step-by-step explanation:

why did you not look it up on the internet lol

Find the ratio of the volume of the triangular prism
to the volume of the cuboid.
Give your answer in its simplest form.

Answers

Answer:

triangular prism

0.5 X 5 X 4 X 9 = 90 cubed cm

cuboid

6 X 5 X 20 = 600 cubed cm

triangular prism : cuboid

90:600

now simplify

both are divisible by 30

3:20

this cannot be simplified further

answer = 3:20

(8, -1) and slope m= -3 for slope intercept

Answers

Answer:

Slope-intercept Form: [tex]y = -3x + 16[/tex]

Step-by-step explanation:

Point-slope: [tex]y- y_1 = m (x - x_1)[/tex]

[tex]y + 1 = -3(x - 8)\\y \frac{+8}{-8} = -3x + \frac{+24}{-8} \\y = -3x + 16[/tex]

Find the slope
1. (4,7) (-2,-5)

2. (-10,8) (-5,4)

3. (1,2) (3,9)

Answers

Answer:

1. m= 2

2. m= -4/5

3. m= 7/2

Step-by-step explanation:

Ethan was able to save ₱220.00 in 5 days, spending only ₱25.50 of the allowance given him daily. How much allowance is he given a day?

Answers

Answer:

44 pounds daily

Step-by-step explanation:

Step one:

Given data

Ethan was able to save ₱220.00 in 5 days

He only spends ₱25.50 of the allowance given him daily

Required

His daily allowance

Step two:

if in 5 days he saves 220 pounds

then in 1 day he will save

=220/5

=44 pounds

Write an equation of a line with slope -3/2 and x-intercept (4,0)

Answers

Answer:

An equation of a line with slope -3/2 and x-intercept (4,0) will be:

[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given

Slope m = -3/2x-intercept (4, 0)

now substitute m = -3/2 and the point (4, 0) in the slope-intercept form of line equation

[tex]y = mx+b[/tex]

[tex]0\:=\:-\frac{3}{2}\left(4\right)\:+\:b\:\:\:\:\:[/tex]

[tex]-6+b=0[/tex]

Add 6 to both sides

[tex]-6+b+6=0+6[/tex]

Simplify

[tex]b=6[/tex]

Thus, the y-intercept b = 6

now substitute m = -3/2 and b = 6  in the slope-intercept form of line equation

[tex]y = mx+b[/tex]

[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]

Therefore, an equation of a line with slope -3/2 and x-intercept (4,0) will be:

[tex]y\:=\:-\frac{3}{2}x\:+\:6[/tex]

What is the measure of AngleEDH? 10° 40° 50° 90°

Answers

50 ndbdndnncnchchchchchc

Answer:

50

Step-by-step explanation:

2х + 3 +7+ 1 = simply the expression

Answers

Answer:

2x + 11

Step-by-step explanation:

2x stays by itself and the integers combine. (3+7+1 = 11)

Answer:

2x + 11

Step-by-step explanation:

you just add the 7 + 3 + 1 = 11

2x + 11

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