Solve the system using substitution y=2x+10 y=x+8

Answers

Answer 1

Answer:

x = -2

Step-by-step explanation:

x+8 = 2x +10

-2x + x = 10-8

-x = 2

divide both side by -1

answer -- x = -2


Related Questions

109 is 63% of what? Thx.

Answers

Answer:

109 is 63% of 173.02

Step-by-step explanation:

Let 109 = 63% of x

Thus;

63/100 * x = 109

63x = 10900

x = 10,900/63

x = 173.02

the graph of a linear function f passes through the point (-1,9) and has a slope of -3. what is the zero of f?
answer choices:
-6
4
2
-2

Answers

Answer:

Answer: x=2 (third option)

Step-by-step explanation:

Equation of a line

Being m is the slope and (h,k) is a point through which the line passes, the point-slope form of the equation of a line is:

y - k = m ( x - h )

We have the function f passes through the point (-1,9) and has a slope of m=-3. The point-slope equation of the line is:

y - 9 = -3 ( x - (-1) )

Operating:

y - 9 = -3 ( x + 1 )

y - 9 = -3x - 3

Adding 9:

y = -3x + 6

To calculate the zero of the function we set y=0 and solve for x:

-3x + 6 = 0

Subtracting 6:

-3x = - 6

Dividing by -3

x = - 6 / ( - 3 )

x = 2

Answer: x=2 (third option)

write (x+7)(x−2) as a sum

Answers

Answer:

x^2+5x-14

Step-by-step explanation:

you multiply both equations so that you get:

x^2-2x+7x-14

and then you simplify it to:

x^2+5x-14

If you found this helpful please give it a thanks

I would also appreciate it if you give me a brainliest

Amanda goes to a football game with 2
friends. They each buy a sweatshirt for
$25.50. Two of them buy bags of
popcorn for $4.75 each. Amanda buys a
hot dog for $3.50 and one friend has
nachos for $3.00. Each girl bought a
fountain drink for $2.25 each. What is
the total amount they spend at the
football game?

Answers

Answer:

99.25

Step-by-step explanation:

3 times 25.50 = 76.5

2 times 4.75 =

3 times 2.25 = 6.75

3.5 + 3 + 76.5 + 9.5 + 6.75 = 99.25

In total, they spent $99.25 at the football game.

$99.25

25.50 x 3 = 76.50
4.75 x 2 = 9.50
76.50 + 9.50 = 86
86 = 3.50 = 89.50
89.50 + 3.00 = 92.50
2.25 x 3 = 6.75
92.50 + 6.75 = 99.25

The sum of three numbers is 12 . The sum of twice the first​ number, 3 times the second​ number, and 4 times the third number is 37 . The difference between 7 times the first number and the second number is 25. Find the three numbers.

Answers

Given:

The sum of three numbers is 12 .

The sum of twice the first​ number, 3 times the second​ number, and 4 times the third number is 37 .

The difference between 7 times the first number and the second number is 25.

To find:

The three number.

Solution:

Let the three numbers are x, y and z respectively.

According to the question,

[tex]x+y+z=12[/tex]           ...(i)

[tex]2x+3y+4z=37[/tex]         ...(ii)

[tex]7x-y=25[/tex]           ...(iii)

From (iii), we get

[tex]-y=25-7x[/tex]

[tex]y=-25+7x[/tex]

Put [tex]y=-25+7x[/tex] value in (i).

[tex]x+(-25+7x)+z=12[/tex]

[tex]8x-25+z=12[/tex]

[tex]8x+z=12+25[/tex]

[tex]8x+z=37[/tex]        ...(iv)

Put [tex]y=-25+7x[/tex] value in (ii).

[tex]2x+3(-25+7x)+4z=37[/tex]

[tex]2x-75+21x+4z=37[/tex]

[tex]23x+4z=37+75[/tex]

[tex]23x+4z=112[/tex]          ...(v)

Now, Multiply equation (iv) by 4 and subtract the result from (v).

[tex]23x+4z-4(8x+z)=112-4(37)[/tex]

[tex]23x+4z-32x-4z=112-148[/tex]

[tex]-9x=-36[/tex]

[tex]x=4[/tex]

Put x=4 in (iv).

[tex]8(4)+z=37[/tex]

[tex]32+z=37[/tex]

[tex]z=37-32[/tex]

[tex]z=5[/tex]

Put x=4 in [tex]y=-25+7x[/tex].

[tex]y=-25+7(4)[/tex]

[tex]y=-25+28[/tex]

[tex]y=3[/tex]

Therefore, the three numbers are 4, 3 and 5 respectively.

Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix. If Monique uses 28 pounds of almonds , how many pounds of almonds did she have in her supply ?

Answers

Answer:

32 pounds of almonds

Step-by-step explanation:

Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix.

The total fraction of almonds that Monique used both for her but mix and fruit and nut mix =

1/4 + 5/8

Lowest common denominator is 8

1 × 2 + 5 × 1/8

2 + 5/8

= 7/8

If Monique uses 28 pounds of almonds

Let the total number of almonds = x

7/8 × x = 28

7x /8 = 28

Cross Multiply

7x = 8 × 28

x = 8 × 28/7

x = 32 pounds

Therefore, Monique initially had 32 pounds of almonds in her supply.

HELP I NEED TO PASS OR ELSE I WILL GET A WHOOPING

Answers

Answer: XD You have Among Us

Step-by-step explanation:

$1972.00 is what I got

Mark me as brainliest, Among Us User

The answer would be 1972.00 your welcome

An architect builds a scale model of a track using a scale of 3 inches represents 40 feet. The length of the track is 20 feet. What is the length of the scale model in inches?

Answers

Answer:

Step-by-step explanation:

Their is no answer sorry

if 324 is multiplide wit 11,what is the product?​

Answers

Answer:

3,564

Step-by-step explanation:

324

11

×___. if you multiply this way it might help

which equation represents a line which is parallel to the line y=-3x-1

Answers

I hope help for you ......

Answer:

x=

[tex] - \frac{1}{3} [/tex]

Evaluate the expression when m = -2

Answers

Answer:

-22

Step-by-step explanation:

(Is that Aleks?)

Plug it in.

(-2)^2 + 9(-2) - 8

= 4 + (-18) - 8

= -14 - 8

= -22

Proportional Relationships
Complete this table
1 | ?
4 | 12
6 | ?
14| ?​

Answers

hi there! in my understanding, here are the answers...

Answer:

1 | 3

4 | 12

6 | 18

14 | 42

Step-by-step explanation:

12 ÷ 4 = 3

1 x 3 = 3

6 x 3 = 18

14 x 3 = 42

hope this helped! have a good one.

Hi bro what did a up bro

please I really need an answer to this.​

Answers

Answer:

It should be 0.88

Let me know if I'm wrong!

Answer:

I believe as a rounded decimal it is 1.33

A number is rounded to the nearest tenth and hundredth. What is the number that was rounded?


Number Rounded to Nearest Tenth Rounded to Nearest Hundredth
0.6 0.58
0.574
0.579
0.585
0.681

Answers

0.574=0.58
0.579=0.58
0.585=0.60
0.681=0.68

9514 1404 393

Answer:

  0.579

Step-by-step explanation:

You can consider what the offered numbers are when they are rounded to hundredths:

  0.574 ⇒ 0.57

  0.579 ⇒ 0.58 . . . matches your requirement

  0.585 ⇒ 0.59

  0.681 ⇒ 0.68

The only number on the list that matches your rounding requirement is 0.579.

what is the answer?​

Answers

Answer:

x = 110° ; y = 49°

Step-by-step explanation:

m∠ABD = m∠ADB = 35° ⇒ x = 180° - 2 × 35° = 110°  

m∠CDB = m∠CBD = 2y ⇒ y = (180° - 82°) ÷ 2 = 49°

Carmen walked 30 yards due north and 12 yards west, but then she went directly back to her starting point, as shown by the dotted line. How far (to the nearest yard) did Carmen travel to get back to where she started?

Answers

Answer:

[tex]0W = 32yd[/tex]

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have:

[tex]0N = 30yd[/tex]

[tex]NW = 12yd[/tex]

Required

Determine 0W

To solve this , we apply Pythagoras theorem as follows:

[tex]0W^2 = 0N^2 + NW^2[/tex]

[tex]0W^2 = 30^2 + 12^2[/tex]

[tex]0W^2 = 900 + 144[/tex]

[tex]0W^2 = 1044[/tex]

Take square roots

[tex]0W = \sqrt{1044}[/tex]

[tex]0W = 32.31[/tex]

[tex]0W = 32yd[/tex] (approximated)

Hence, she walked 32 yards

Which is the best estimate of 20,168 ÷ 21?

Answers

Answer:

Use the algorithm method.

 9 6 0

2 1 | 2 0 1 6 8

1 8 9  

1 2 6

1 2 6

8

960

Step-by-step explanation:

May I have brainliest plz

Which property is illustrated? x + y = y + x​

Answers

Answer:

commutative property

Step-by-step explanation:

it is

Activity 1.2 Determine the SOLUTION SET of this following exponential inequalities

I need the answer now. pls can anyone answer this? I will mark the brainliest answer.
Wrong and rude answers will be reported.​

Answers

Answer:

1. [tex] x \ge -4 [/tex]

2. [tex] x < -2 [/tex]

Step-by-step explanation:

1. [tex] 10^{2x - 4} \le 1000^x [/tex]

Make both sides of the same base

[tex] 10^{2x - 4} \le (10^3)^x [/tex]

[tex] 10^{2x - 4} \le 10^{3x} [/tex]

Both bases will cancel each other

[tex] 2x - 4 \le 3x [/tex]

Subtract 2x from each side

[tex] - 4 \le 3x - 2x [/tex]

[tex] -4 \le x [/tex]

Rewrite

[tex] x \ge -4 [/tex]

2. [tex] (\frac{1}{5})^{3x + 10} > (\frac{1}{25}^{x + 4} [/tex]

Apply the inverse law of exponents

[tex] (5^{-1})^{3x + 10} > (25^{-1})^{x + 4} [/tex]

[tex] (5^{-1})^{3x + 10} > (5^{-2})^{x + 4} [/tex]

[tex] 5^{-3x - 10} > 5^{-2x - 8} [/tex]

Both bases will cancel each other

[tex] -3x - 10 > -2x - 8 [/tex]

Collect like terms

[tex] -3x + 2x > 10 - 8 [/tex]

[tex] -x > 2 [/tex]

Divide both sides by -1.

(Note: since we are dividing by a negative number, the inequality sign would change)

[tex] x < -2 [/tex]

i need helpp please help me.

Answers

Answer:

B and C

Step-by-step explanation:

Option B and Option C

Expand it and you'll get 12 + 12 * 0.25 and the question says she ran 0.25 of the distance she ran before.

Hence, Option B and Option C would be correct

ABC is congruent to EDC, BC = 5 units and DE = 12 units. What is the length of AE?

Answers

Answer:

AE = 26 units

Step-by-step explanation:

Given that ABC is congruent to EDC, therefore, the corresponding angles and corresponding lengths of ∆ABC and ∆EDC are equal to each other in measure.

AE = 2(AC) = 2(CE) or

AE = AC + CE

Let's find the AC using Pythagorean Theorem, since the ∆s are both right triangles.

BA is congruent to DE.

Since DE = 12 units, therefore, BA = 12 units.

BC = 5 units (given)

Using Pythagorean Theorem:

AC² = BA² + BC²

AC² = 12² + 5² (substitution)

AC² = 144 + 25 = 169

AC = √169

AC = 13 units

Since ∆ABC = ∆EDC, therefore:

AE = 2(AC)

AE = 2(13)

AE = 26 units

Pleae help will mark as brainliest

Answers

y=8x+40
8 is slope because she adds 8$ weekly and 40 is what she started with

9. a - 2a +5
pls help i’m kinda dumb

Answers

a-2a +5= -a + 5 would be the answer
Answer: -a+5
First you combine like terms
a-2a equals -a
After that you can’t combine anything else
So the equation simplified is -a+5

what's (+6) + (+48) ?​

Answers

Answer:

54

Step-by-step explanation:

The answer is 54.
..
.

plz help I've been doing math for 3 hours ​

Answers

From top to bottom: 6, 2, -2, -6

Step-by-step explanation:

y=-4x+2

-1 -4*-1= 4 y=4

0 -4*0=y y=0

1 -4*1=y y=-4

2 -4*2=y y=-8

help me I'll make brainiest

Answers

Answer:  RS = 16

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

Explanation:

The ratio QR : RS : ST  is equal to 1 : 4 : 5

This means we have the following three equations

QR = x RS = 4x ST = 5x

For some positive number x.

Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x .

Along with those three equations, we'll also use QT = 40 as well.

Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x .

QT = QR + RS + ST

40 = x+4x+5x

40 = 10x

10x = 40

x = 40/10

x = 4

So we know that

QR = x = 4

RS = 4x = 4*4 = 16

ST = 5x = 5*4 = 20

-----------

As a check,

QR + RS + ST = 4 + 16 + 20 = 40

which is the same as QT = 40

Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.

CIVICS In the 2004 presidential election, Ohio had 20 electoral votes.
This is 14 votes less than Texas had. How many electoral votes did Texas
have in 2004?

Answers

Answer:

34

Step-by-step explanation:

Ohio had 20

14 votes less than Texas (20 + 14)

34 electoral votes Texas had in 2004.

~~~Hope this helps~~~

A student analyzed the table below and stated the following, “the y-intercept is 4 because (4,0) has a y value of 0”. Is the student correct? Why or why not?

Answers

Answer:

No

Why he is not correct is because the y-intercept is the coordinate of the point where the graph meets or crosses the y-axis, which is equivalent to a point on the graph where the x-coordinate value reduces to zero, or to put it in a mathematical form x = 0

Step-by-step explanation:

From the given data, we have;

x     [tex]{}[/tex]       y

2     [tex]{}[/tex]      -2

4     [tex]{}[/tex]       0

6      [tex]{}[/tex]      2

8      [tex]{}[/tex]      6

The given data is linear because it has a constant first (common) difference of 2

The general form of the straight line equation is y = m·x + c

Where;

m = The slope

c = The y-intercept

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The slope of the graph of the data from any two points, (x₁, y₁) = (4, 0) and (x₂, y₂) = (4, 0)) is m = (2 - 0)/(6 - 4) = 1

The equation representing the data in point and slope form is therefore;

y - 4 = 1 × (x - 0)

Which gives;

y = x + 4

Therefore, the y-intercept = 4.

I need help pls hel me

Answers

D bdidndudbdud ddhdbd

Please just put what the position that it would have the most amount of potential energy and why Thanks!​

Answers

I’m pretty sure D has the most potential energy
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