Solve using substitution.
2x - 2y = 2
y = -5x + 14

Answers

Answer 1

Answer:

x

=

5

2

and

y

=

3

2

Step-by-step explanation:

Let's solve your system by substitution.

2

x

2

y

=

2

;

y

=

5

x

+

14

Rewrite equations:

y

=

5

x

+

14

;

2

x

2

y

=

2

Step: Solve

y

=

5

x

+

14

for y:

y

=

5

x

+

14

Step: Substitute

5

x

+

14

for

y

in

2

x

2

y

=

2

:

2

x

2

y

=

2

2

x

2

(

5

x

+

14

)

=

2

12

x

28

=

2

(Simplify both sides of the equation)

12

x

28

+

28

=

2

+

28

(Add 28 to both sides)

12

x

=

30

12

x

12

=

30

12

(Divide both sides by 12)

x

=

5

2

Step: Substitute

5

2

for

x

in

y

=

5

x

+

14

:

y

=

5

x

+

14

y

=

5

(

5

2

)

+

14

y

=

3

2

(Simplify both sides of the equation)

Answer:

x

=

5

2

and

y

=

3

2


Related Questions

Ms. Figgs asked 25 students in her 7th grade homeroom to select their favorite cookie. The results are recorded in the table below. Based on the results, how many students will NOT select chocolate chip as there favorite cookie, if there are 250 students in the seventh grade? If you can answer ASAP

Answers

Answer:

130

Step-by-step explanation: 13 is 52 percent of 25 and 130 is 52 percent of 250   :) hope this helps

Jenny, Brad, and Heather all have Gym Memberships. There Gym Membership fees are described below, where x represents months: Jenny: 20x+100 Brad: 40x Heather: 2(10x+55) a) At what month will Jenny and Brad pay the same amount for their gym membership? b) Heather stated that her and Jenny will always pay the same amount each moth for their gym membership. Do you agree? Explain your answer.

Answers

Answer:

5 months, no heather will have 20x + 110

help please!!
Solve the following problem and enter the answer in the space provided. If there is no solution, type in "no solution." If the result is all real numbers, type in "all real numbers" into the answer space.

6x+1=8x+3

Answers

Answer:

1 - 3 = 2/ 6x +2=8x   8x-2 = 6x divided by 6x = 1x so there but if 1 to ur math is no solution then theres no solution but if there is a solution ur welcome! 5*

Solve for a.

5.4 = a - (-1.8)
a =

Answers

Answer:

A = 3.6

Step-by-step explanation:

5.4 = a - (-1.8)

5.4 = a + 1.8

subtract 1.8 from both sides

3.6 = a

Hope this helps. Pls give brainliest.

Answer:

a = 3.6

Step-by-step explanation:

5.4=a−(−1.8)

Step 1: Simplify both sides of the equation.

5.4=a+1.8

Step 2: Flip the equation.

a+1.8=5.4

Step 3: Subtract 1.8 from both sides.

a+1.8−1.8=5.4−1.8

a=3.6

Calculate the new perimeter using a scale factor of 1/5

PLEASE HELP ASAP

Answers

Answer:

16

Step-by-step explanation:

P = (15 + 20 + 45) × (1/5) = 16

Lon is selling gift baskets at a craft fair. His costs are $75 for the table and $12 per basket. He sells each basket for $20.

1. Let b equal the number of baskets. Which expression represents Lon's costs? *
A- 12b - 75
B- 12b +75
C- 20b - 75
D- 20b -12b

2. How many baskets must be sold to make a profit? Solve this inequality to find out. 20b > 12b + 75 (hint: remember it's asking to make a profit) *

A- fewer than 9
B- fewer than 10
C- at least 10
D- more than 12

Answers

Answer:

1. B

2. D

Step-by-step explanation:

1. Lon's cost would be the $12 per basket times how many baskets he sells, in this case b plus the cost of the table. Lon's expression is 12b + 75

2. He needs a profit and the only way he could make that profit is if he sells more than 12.

20b > 12b + 75

20 (12) > 12 (12) + 75

240 > 140 + 75

240 > 215

Answer:

1-B

2-D

Step-by-step explanation:

how do I do this problem?​

Answers

Answer:

14.9m

Step-by-step explanation:

Say that the centre point is O, the letter to make it easier to explain.

The angle DOB is equal to the angle AOE because they're vertically opposite

We also know that angle DOB = 52 + 90 = 142, so angle AOE = 142

To work out the length of the segment, it would be to find the circumference and multiply with the angle over 360:

πd × [tex]\frac{142}{360}[/tex]

(where d = diameter)

we know that the diameter is 12m so we can input this:

12π × [tex]\frac{142}{360}[/tex] = 14.87020523

to the nearest tenth = 14.9m

Which reason justifies the statement below? “If CD = EF, then CD≅ EF ”
A. Definition of Congruence
B. Reflexive Property
C. Symmetric Property
D. Definition of Midpoint

Answers

Answer:

A. definition of congruence

-7x + 3=5x - 9 find x and y

Answers

Answer:

1

Step-by-step explanation:

-7x+3=5x-9

-7x-5x=-9-3

-12x=-12

x=12÷12

x=1

Answer:

x= 1

I don't "y" sorry

Which Lines Are Parallel if M<4 = m<5? Justify Your Answer.

Answers

Y is parallel to S because angle 4 and angle 5 are alternate interior angles.
Hope that helps.

What is the slope of the line which contains the ordered pairs (2, 1) and (-3, 5)?
a. -5/4
b. -4
c. -1/4
d. -4/5

Answers

Answer:

d. -4/5

Step-by-step explanation:

When using the equation m = y2 - y1 / x2 - x1, we get m = 5-1 / -3-2.

Simplified: m = 4/-5.

The negative can be placed on the numerator or denominator, it doesn't make a difference.

C is the answer to the question

uhm mainly 11 and 12 but if u solve all of them I’ll give u brainliest

Answers

                                             Question 11)

Answer:

[tex]\log _2\left(63\right)-\log _2\left(9\right)=\log _2\left(7\right)=2.80[/tex]

Step-by-step explanation:

Given the expression

[tex]\log _2\left(63\right)-\log _2\left(9\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)-\log _c\left(b\right)=\log _c\left(\frac{a}{b}\right)[/tex]

[tex]\log _2\left(63\right)-\log _2\left(9\right)=\log _2\left(\frac{63}{9}\right)[/tex]

[tex]=\log _2\left(\frac{63}{9}\right)[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{63}{9}=7[/tex]

[tex]=\log _2\left(7\right)[/tex]

[tex]=2.80[/tex]

Therefore,

[tex]\log _2\left(63\right)-\log _2\left(9\right)=\log _2\left(7\right)=2.80[/tex]

                                            Question 12)

Answer:

[tex]\log \:_2\left(3\right)+\log \:_2\left(15\right)-\log \:_2\left(9\right)=\log \:_2\left(5\right)=2.32[/tex]    

Step-by-step explanation:

Given the expression

[tex]\log _2\left(3\right)+\log _2\left(15\right)-\log _2\left(9\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)+\log _c\left(b\right)=\log _c\left(ab\right)[/tex]

[tex]\log _2\left(3\right)+\log _2\left(15\right)=\log _2\left(3\cdot \:15\right)[/tex]

[tex]=\log _2\left(3\cdot \:15\right)-\log _2\left(9\right)[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:15=45[/tex]

[tex]=\log _2\left(45\right)-\log _2\left(9\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)-\log _c\left(b\right)=\log _c\left(\frac{a}{b}\right)[/tex]

[tex]\log _2\left(45\right)-\log _2\left(9\right)=\log _2\left(\frac{45}{9}\right)[/tex]

[tex]=\log _2\left(\frac{45}{9}\right)[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{45}{9}=5[/tex]

[tex]=\log _2\left(5\right)[/tex]

[tex]=2.32[/tex]

Therefore,

[tex]\log \:_2\left(3\right)+\log \:_2\left(15\right)-\log \:_2\left(9\right)=\log \:_2\left(5\right)=2.32[/tex]                            

What would this be ?

Answers

Answer:  25

==============================================

Explanation:

If f(x) is an even function, then,

f(-x) = f(x)

for all x in the domain

Based on that, we can say f(-3) = f(3)

So,

y = -2*f(3) - 3*f(-3)

y = -2*f(3) - 3*f(3)

y = -2*(-5) - 3*(-5)

y = 10 + 15

y = 25

IF YOU ANSWER CORRECTLY YOU GET BRAINLYYYYY

Answers

7.50*3= 22.50
305-22.50= 282.50
hope it helps

Mindy makes 6 dozen chocolate chip cookies.
She takes 20 minutes to make all the cookie batter, and then she puts the cookies in the oven for 8 minutes per dozen.
To find how much time Mindy takes to make all the cookies, identify the hidden question.

Answers

You have to find how much time it took to bake 6 dozen cookies. 6 x 8 = 48 min
Then add the 48 min to the 20 min it took to make the batter. 48+20= 68 min or 1 hr 8 min

Which triangles in the diagram are congruent?

A. triangle 1 and triangle 2
B. triangle 1, triangle 2, and triangle 3
C. triangle 1 and triangle 3
D. triangle 1, triangle 3, and triangle 4​

Answers

Answer: Triangle 1 and 4

Step-by-step explanation: It's not in the options, but it's definitely 1 and 4 because they both a 70 degree acute angle from the left. I think the multiple choice options could be wrong.

Answer:

Triangles 1 and 4

Step-by-step explanation:

You see that the line markings are in the same areas

The size is the same

there is an angle on the bottom that says 70˚. It is on both triangles.

A test has ____ total questions for a total of ____ points. There are two question types: a true/false question is worth ____ points and a multiple choice question is worth ____ points.

Answers

Answer:

50-100-1-3

.......(?)

Answer:

I AM CONFUSION

Step-by-step explanation:

Mrs. Miller is cutting 2 pizzas into eighths for students. How many students will get a 1/8 size slice of pizza?

Answers

Answer:

16 students

Step-by-step explanation:

2 pizzas cut into 8ths, 8 slices plus 8 slices = 16

Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the second cyclist bike in 45 minutes?

Answers

Answer:

The distance covered by the second cyclist in 45 minutes is (3/4·b + 9) miles

Step-by-step explanation:

The given parameters are;

The distance between the two cyclist when they begin biking away from each other = 7 miles

The first cyclist's speed = 12 miles per hour

The second cyclist's speed = 12 + b miles per hour

Therefore, we have;

The equation for distance covered, d = Speed × Time

The distance covered by the second cyclist in 45 minutes, [tex]d_{45 \ minutes}[/tex] is given as follows;

45 minutes = 3/4 hour

[tex]d_{45 \ minutes}[/tex]  = (12 + b) × 3/4 = (3/4·b + 9) miles

The distance covered by the second cyclist in 45 minutes = (3/4·b + 9) miles.

Answer:

The distance covered by the second cyclist in 45 minutes is (3/4·b + 9) miles

Step-by-step explanation:

The given parameters are;The distance between the two cyclist when they begin biking away from each other = 7 milesThe first cyclist's speed = 12 miles per hourThe second cyclist's speed = 12 + b miles per hourTherefore, we have;The equation for distance covered, d = Speed × TimeThe distance covered by the second cyclist in 45 minutes,  is given as follows;45 minutes = 3/4 hour  = (12 + b) × 3/4 = (3/4·b + 9) milesThe distance covered by the second cyclist in 45 minutes = (3/4·b + 9) miles.

ILL MARK U BRAINLIEST!!!

Answers

Answer:

1. 6/25

Step-by-step explanation:

30/125 wanted Steelers which simplifies to 6/25

Answer:

D.) 6/25

Step-by-step explanation:

125 students were surveyed

30 voted steelers

30/125 = 0.24

24%

or

6/25

2) Maddie wants a Nintendo Switch bundle. It is on sale for $320, and her parents said that they would pay 60% of the cost if Maddie pays the rest. How much will Maddie have to pay?

Answers

I would say it’s 192$

Answer:

Wow, my name is maddie and i have a Nintendo switch. Lolll ok but the answer is:

$192!

Step-by-step explanation:

60 percent of 320 is the same as 60 per hundred of 320. We can therefore make the following equation:

60/100 = X/320

To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 320, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:

60/100 = X/320

X/320 = 60/100

X*320/320 = 60*320/100

X = 19200/100

X = 192

The work above shows the long way to explain how to calculate 60 percent of 320 in order to give you a foundation and better understanding of how to calculate percentage. In the future, you could use this simplified formula:

(Y * P)/100

In our problem "What is 60 percent of 320?", Y is 320 and P is 60:

(320 * 60)/100 = 192

And once again you see that the answer is 192.

(credits to the percentage calculator) LOL

Have an amazing day luvs <3 ❤

If f ( x ) = 7 ( x − 1 ) + 8 f(x)=7(x−1)+8 , what is the value of f ( 1 ) f(1) ?

Answers

Answer:

8

Step-by-step explanation:

f(1) is another notation for x = 1

so we’ll plug in 1 for x

f(1) = 7((1) -1) +8

f(1) = 7(0) +8

f(1) = 0 +8

f(1) = 8

Juan is working two summer jobs, making $12 per hour babysitting and making $16 per hour lifeguarding. In a given week, he can work at most 17 total hours and must earn at least $240. If Juan worked 3 hours babysitting, determine all possible values for the number of whole hours lifeguarding that he must work to meet his requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

\text{Let }b=

Let b=

\,\,\text{the number of hours babysitting}

the number of hours babysitting

\text{Let }l=

Let l=

\,\,\text{the number of hours lifeguarding}

the number of hours lifeguarding

\text{\textquotedblleft at most 17 hours"}\rightarrow \text{17 or fewer hours}

“at most 17 hours"→17 or fewer hours

Use a \le≤ symbol

Therefore the total number of hours worked in both jobs, b+lb+l, must be less than or equal to 17:17:

b+l\le 17

b+l≤17

\text{\textquotedblleft at least \$240"}\rightarrow \text{\$240 or more}

“at least $240"→$240 or more

Use a \ge≥ symbol

Juan makes $12 per hour babysitting, so in bb hours he will make 12b12b dollars. Juan makes $16 per hour lifeguarding, so in ll hours he will make 16l16l dollars. The total amount earned 12b+16l12b+16l must be greater than or equal to \$240:$240:

12b+16l\ge 240

12b+16l≥240

\text{Plug in }\color{green}{3}\text{ for }b\text{ and solve each inequality:}

Plug in 3 for b and solve each inequality:

Juan worked 3 hours babysitting

\begin{aligned}b+l\le 17\hspace{10px}\text{and}\hspace{10px}&12b+16l\ge 240 \\ \color{green}{3}+l\le 17\hspace{10px}\text{and}\hspace{10px}&12\left(\color{green}{3}\right)+16l\ge 240 \\ l\le 14\hspace{10px}\text{and}\hspace{10px}&36+16l\ge 240 \\ \hspace{10px}&16l\ge 204 \\ \hspace{10px}&l\ge 12.75 \\ \end{aligned}

b+l≤17and

3+l≤17and

l≤14and

​  

 

12b+16l≥240

12(3)+16l≥240

36+16l≥240

16l≥204

l≥12.75

​  

 

\text{The values of }l\text{ that make BOTH inequalities true are:}

The values of l that make BOTH inequalities true are:

\{13,\ 14\}

{13, 14}

\text{(the final answer is this entire list)}

(the final answer is this entire list)

is the fraction 12/98 a perfect square??​

Answers

Answer:

No

Step-by-step explanation: By dividing 12/98 you would get a decimal(0.12244897959) by this not being a whole number it can not be a perfect square.

No
because when u divide that you get a decimal

i’m so stressed out over this. please help me solve these

Answers

You have to use the distributive property for this worksheet (multiplying the number in front of the parenthesis which each number inside the parenthesis)
1, for example,
8 • x = 8x
8 • 5 = 40
So your answer would be 8x+40. Don’t overthink it. You got the rest! Just comment back if you need help! :]

Answer:

8x + 406y - 21-6m - 186 - 6z-5x - 1-x - 4ab - 6b7a(3b - 2c + 4)4x + 1[tex]\frac{x}{6} - 4[/tex]  1 - 4wx - 42k - 584x + 246 - 37m25v + 16c - 395p + 42-wx + 3

I hope this helps!

Evaluate f(7) *
f (x) = –2x² + 4

Answers

Input 7 for every x so
f(7) = -2 (7)^2 +4
f(7) = -2(49) +4
f(7) = -98 +4
f(7) = -94

Answer:

x= 1.3

Step-by-step explanation:

You have to plug in 7 so it will look like:

f(x) = -2x² + 4

7(x) = -2x² +4

now what you have to do is multiply 7 by x which will get you

7x = -2x² + 4

now because you have that you want to multiply -2 twice because you have that ²

7x = 4x +4

now you want to move the 4x and you can do that by doing the inverse operation and in this case since its a positive 4 you may want to subtract 4x from 4x and 7x

3x=4

now you want to divide 4 from 3  and you get 1.333333333333333

hope this helps

find the unit rate for 12 haircuts in 4 hours

Answers

Answer:

it would be 3 haircuts in a hr.

Step-by-step explanation:

12 divided by 4

have a good day,good luckk

Answer:

The unit rate of 3 haircuts per hour

Step-by-step explanation:

unit rate for 12 haircuts in 4 hours

Now,

12 ÷ 4 = 3

Thus, The unit rate of 3 haircuts per hour

-TheUnknownScientist

Just the first 3 please. Will give brainliest. (Easy)

Answers

Answer:

1.) 81

2.) 1/4

3.) 2.25

Step-by-step explanation:

divide in half then square it

Answer:

wut

Step-by-step explanation:

dat dont like like english

The number of known elements changed very rapidly over a 150-year period.
There were 62 known elements in the mid-1800s. How many known elements
(total) are there today?
A.98 b.111 C.118 D.125

Answers

Answer:

118

Step-by-step explanation:

somebody helpppp plzz

Answers

Answer:

2

Step-by-step explanation:

-2^2=4

4*1/2=2

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