Solve the following system of equations:
y = 2x +1
y=-x+ 4

x=?
y=?​

Answers

Answer 1

Answer:

x = 1, y = 3

Step-by-step explanation:

Given the 2 equations

y = 2x + 1 → (1)

y = - x + 4 → (2)

Substitute y = 2x + 1 into (2)

2x + 1 = - x + 4 ( add x to both sides )

3x + 1 = 4 ( subtract 1 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1) and evaluate for y

y = 2(1) + 1 = 2 + 1 = 3

Then solution is x = 1, y = 3


Related Questions

I need help again with this last problem.

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] |12| + | - 15| = [/tex]

[tex]12 - ( - 15) = [/tex]

[tex]12 + 15 = [/tex]

[tex]27[/tex]

Thus the correct answer is the last option .

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

[tex] \boxed {27}[/tex]

Step-by-step explanation:

All negative numbers in the absolute sign will become positive.

[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]

Therefore we evaluate | - 15 | = 15

[tex]12 + 15 = \red {27}[/tex]

Calculate the volume of the following shape.
8cm

20cm

Answers

Answer:

Volume of Cylinder =

[tex]\pi {r}^{2} h[/tex]

So :

Step-by-step explanation:

[tex]volume = 3.14 \times ( {8}^{2} ) \times 20 = 3.14 \times 64 \times 20 = 4019.2[/tex]

Answer:

Volume = 4021.24 cm ^3

Step-by-step explanation:

V = πr2h = π·82·20 = 4021.2386 cm ^3

In a school, 2/3 of the students study a language.
Of those who study a language 2/5 study French
Find the ratio of students who study French to students who do not study French.
Give your answer in its simplest form.

Answers

Answer:

4 : 11

Step-by-step explanation:

Given that:

Fraction of language students = 2/3

Number of students who study French :

2/5 of 2/3

2/5 * 2/3 = 4 /15

Those who do not study French :

Total fraction of entire student :

1 - 4/ 15

(15 - 4) / 15

11/15

Ratio of French to non-french

4/15 : 11/15

4/15 ÷ 11/15

4/15 * 15/ 11

4 / 11

4 : 11

42 slices from 3 cakes = 84 slices from____ cakes

Answers

6 Cakes man 6 cakes 42*2 3*2

Answer:

42 slices from 3 cakes = 84 slices from 6 cakes

Step-by-step explanation:

Let the unknown value be x

[tex]42 = 3\\84 =x\\\\[/tex]

Cross Multiply

[tex]42\times x = 84\times 3\\\\42x = 252[/tex]

Divide both sides of the equation by 42

[tex]\frac{42x}{42} = \frac{252}{42} \\\\Simplify\\\\x =6[/tex]

what expression is equivalent to 2m (32m + 1) + 3 (53 - 2)

Answers

Answer:

64m2+2m+255

Step-by-step explanation:

A holiday decoration involves blue and white lights.The ratio of blue lights to white lights is 3 to 2 . The box the decoration came in stated that the number of blue lights was 114 but didn't give the number of white lights or the total number of lights.

Answers

Answer:

a. 76 b. 190

Step-by-step explanation:

a. Number of white lights

Since the ratio of blue lights to white lights is 3 to 2 and the number of blue lights is 114, it follows that 3 : 2 = 114 : x where x is the number of white lights.

So, 3/2 = 114/x

cross-multiplying,

3x = 114 × 2

3x = 228

x = 228/3

x = 76

b. Total number of lights

So, the total number of lights is thus number of blue lights + number of white lights = 114 + 76 = 190

Brandon has a collection of 400 marbles. Of these marbles, 15% are red, 40% are blue, and the rest are purple. How many marbles in Brandon's collection are purple?

Answers

Answer:180

Step-by-step explanation:

Since 15% of 400=60 and 40%=160 the total of this combined is 220. 400-220=180 which is the amount of purple marbles

Does anyone knows how to do Algerba II I really need helppp!!! Can someone please help me

Answers

Answer:

I know algebra ll

i can help :D

Step-by-step explanation:

What do you need help with? I am immigrant so I have problems with academic English, but I can send photos with solutions my math is good enough.

Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?​

Answers

Answer:

80m - (12+4) = x

Step-by-step explanation:

Hope this helps! I mean its self explanatory

Answer:

$38.75

Step-by-step explanation:

We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

Answers

Answer:

Options A, B, C and D

Step-by-step explanation:

This question is not complete; here is the complete question.

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

A. 24

B. 36

C. 180

D. 240

E. 1656

Cost of one candy = 69 cents  

Since, cost of 24 candies = Cost of one candy × Number of candies

                                          = 69 × 24

For partial product,

69 × 24 = (60 + 9)(20 + 4)

             = 60(20 + 4) + 9(20 + 4)

             = 60×20 + 60×4 + 9×20 + 9×4

             = 1200 + 240 + 180 + 36

             = 1656

Therefore, Options A, B, C and D are not possible partial products.

The extra data costs are $20.99 monthly but they're offering 20% off that. What will my monthly cost be with the 20% off?

Answers

Answer:

Discounted price= $16.792

Step-by-step explanation:

Giving the following information:

The extra data costs are $20.99 monthly, but they're offering 20% off that.

To calculate the discounted price, we need to use the following formula:

Discounted price= normal price*(1 - discount rate)

Discounted price= 20.99*0.8

Discounted price= $16.792

What is the answer of this q ❓​

Answers

Answer:

68

Step-by-step explanation:

lets mijdkdefbdhnrr

I REALLY NEED HELP ON THIS!!!!!! I WILL MARK BRAINLIEST

Answers

Answer:

y = 2,500x + 5,000

Rate of change = $2500 a year

Initial value = $5000

Step-by-step explanation:

We have 3 values to figure what is the function here, the rate of change, and the initial value.

To find the initial value, find where y is located where x is 0. In this case it's $5000, so that's the initial value.

Now the rate of change. Find y where x is 1. That is $7,500. Subtract $5000 from to get the rate of change, since it's the same. It's constant because of a straight diagonal line.

$7,500 - $5,000 = +$2,500/year

Now the equation. This is not proportional, because y's starting point is not 0. It's greater than that, so an addition sign is in the equation. Do you remember our initial value? That's right! It was $5,000, so put that after the addition sign.

y = ????x + 5,000

You also need to remember the rate of change, which was 2,500. Put that on the left of the addition sign and there's your equation!

y = 2,500x + 5,000

Answer:

y=2500x + 5000

2500

5000

Step-by-step explanation:

Find the x- and y-intercepts of 4x-9y=-12

Answers

X-int (-3,0)
Y-int (0,4/3)
The answer is shown below

Write a parallel lines and perpendicular lines in the given figure .​

Answers

Answer:

parrallel lines : p and q, a and b,j and k | perpendicular lines : p and a, q and a, p and b, q and b

Step-by-step explanation:

Parallel lines are lines that can go on and on forever, and never meet !

Perpendicular lines are two lines meet at a 90° angle,, to form a right angle !

Here is a Floor plan of a house. What is the approximate area of the home, including the balcony? Explain/show your thinking.

Answers

Answer:

it is easy figure it out

Step-by-step explanation:

7. A location of a wall mural is being marked off as shown below.
2x + 1
3x + 5
Which expression represents the area covered by the wall mural?
please help asap !

Answers

Answer:

I know this answer won't help now but it's 6x2 + 13x + 5

which is C

Step-by-step explanation:

The  expression represents the area covered by the wall mural is -    [tex]6x^2+13x+5[/tex]

"Area"

Given :

Dimensions are (2x + 1) and (3x + 5).

To find the area we multiply them.

Area=[tex](2x+1)(3x+5)\\

Area=6x^2+10x+3x+5\\

Area=6x^2+13x+5[/tex]

Learn more about "cosine":

: https://brainly.com/question/1594198

ZHFJ is complementary with which other angle?
A349
Ав
56°
689
34° ]
124°
ZDEC
ZAEB
ZGFH
ZBEC

Answers

Answer:

BEC°

Step-by-step explanation:

complementary means "to add up to 90°"

90° - 34° = 56°

the Z confused me for a bit, then figured out you tried to type in the angle sign.

The points A, B and C have position vectors OA = 6,2, OB = 3,4 and OC = 12, -2 respectively.
Express the vector:
a) BA
b) BC​

Answers

Answer:(a) BA = (-3,2)   (b) BC = (-9,6)

Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2).                     (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).

What does 6(4c-2) simplify as?
Help pleas

Answers

Step-by-step explanation:

[tex]\tt{ 6(4c-2) }[/tex]

[tex]\tt{ 24c-12 }[/tex]

5 cm 2 cm 2 cm 5 cm What is the perimeter of the shape? ​

Answers

Answer:

14 cm

All you have to do is add the four sides up and you're good to go! :)

Answer:

The answer is 14

Step-by-step explanation:

perimeter - means to add . You add all the sides

area - means multiplication . You multiply the two numbers on the bottom so for an example is this was area the answer would've been (A-10)

1/4 of ... is 1/5

What is the ...

Answers

Answer:

4/5

Step-by-step explanation:

Just multiply 1/5 times 4, because that's the reciprocal of 1/4

To figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?

Answers

Answer:

86

Step-by-step explanation:

36 + 4 = 40 x 2 =80  

36 x 2 = 82 = 4 - 86

Hope it helps!

The special number was supposed to be; 76

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

For age 'a', the special number was

 2a +4

Tammi's mother actually calculated it as;

 2(a +4) = 2a +8

Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.

The special number was supposed to be;

80 -4 = 76.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

rearrange y=4-3x/x-5 to make x the subject

Answers

Answer:

x = [tex]\frac{4+5y}{y+3}[/tex]

Step-by-step explanation:

Given

y = [tex]\frac{4-3x}{x-5}[/tex] ( multiply both sides by x - 5

y(x - 5) = 4 - 3x ( distribute left side )

xy - 5y = 4 - 3x ( add 3x to both sides )

xy + 3x - 5y = 4 ( add 5y to both sides )

xy + 3x = 4 + 5y ← factor out x from each term on the left side

x(y + 3) = 4 + 5y ← divide both sides by y + 3

x = [tex]\frac{4+5y}{y+3}[/tex]

A sandwich store chargers a $10 delivery fee, and $4.50 for each sandwich.

what is the total cost (sandwiches and delivery charge) if an office orders 6 sandwiches.

Formula (y=mx+b)

Answers

Answer:

$37

Step-by-step explanation:

Delivery fee- $10

each sandwich- $4.50

Sandwiches ordered- 6

4.50(6)+10=37

How many 3 or 8 are in 5 over 4
Please help

Answers

Answer:

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

Hope this helps.

Step-by-step explanation:

Answer #2: 3/8 divided by 5/4= 3/10

In a grid of an auditorium, the vertices of a section of seats are A(40, 20) , B(80, 20) , C(100, 70) , and D(40, 70) . The coordinates are measured in feet. Find the area of the section.

Answers

Answer:

[tex]Area = 2900[/tex]

Step-by-step explanation:

Given

[tex]A (x_1,y_1) = (40,20)[/tex]

[tex]B (x_2,y_2) = (80,20)[/tex]

[tex]C (x_3,y_3) = (100,70)[/tex]

[tex]D (x_4,y_4) = (40,70)[/tex]

Required

Determine the Area

The area of the section is:

[tex]Area = \frac{1}{2}|(x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1) - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1)|[/tex]

Substitute values for the x's and y's

[tex]Area = \frac{1}{2}|(40 * 20 + 80*70 + 100*70 + 40*40) - (20*80 + 20*100 + 70*40 + 70*40)|[/tex]

[tex]Area = \frac{1}{2}|15000 - 9200|[/tex]

[tex]Area = \frac{1}{2}|5800|[/tex]

[tex]Area = \frac{1}{2} * 5800[/tex]

[tex]Area = 2900[/tex]

Hence, the area of the section is 2900ft^2

you answered 6 out of 11 questions on your test. what is your score?​

Answers

Answer:

54

Step-by-step explanation:

.......................

Answer:

54

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME???!!!

Answers

Answer:

D. The graph has a positive rate of change

Step-by-step explanation:

The graph's slope, or rate of change, is positive, which means that D is your answer.

yo I need help asap would really appreciate, solve photo attached please also pls tell me how you did it

Answers

Answer:

The average rate of change is 4.

Step-by-step explanation:

Average rate of change is simply a fancy way of saying "find the slope".  

So for slope, we use (y2-y1)/(x2-x1).

(3-(-13))/(2-(-2))

16/4

4

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