Solve the following system of equations: (2 points) 5x + y = 9 3x + 2y = 4 a (−2, 5) b (1, 4) c (2, −1) d (4, −4)

Answers

Answer 1
X = 2
Y = -1

How to solve -

You can subtract the equations
to do that you have to find a way to get rid of one of the variables.

Easiest way to do this based on these equations is by multiplying one of the equations by -2.

-2(5x + y =9)

From there you’d get

-10 x - 2 y = -18

Now you can add the equations since you already distributed the negative two to the equations.

10 x - 2 y = -18
+
3 x + 2 y = 4
————————
-7 x = - 14

x = 2

To find y, you have to substitute x =2 into one of the equations.

5(2) + y = 9
———————
y = -1


Related Questions

The area of a rectangle is 26.88 square centimeters. The length of the rectangle is 9.6 centimeters. What is the width of the rectangle in centimeters?​

Answers

Answer:

26.88 divided by 9.6 is 2.8

Meaning that the width is 2.8 cm

help plz its about proportionality

Answers

Answer:7

Step-by-step explanation:no need to explain

Greta is taking a road trip from Cincinnati to San Francisco. On the first day, she drove 650 miles in 10 hours. On the second day, she got a later start and drove 540 miles in 8 hours. How many miles per hour faster was her average speed the second day?

Answers

Answer:

2.5 miles per hour faster

Step-by-step explanation:

Step one:

the first day

distance= 650miles

time taken= 10 hours

speed= distance/time

speed= 650/10

speed= 65miles per hour

Step two:

the second day

distance= 540mile

time taken= 8 hours

speed= distance/time

speed= 540/8

speed= 67.5miles per hour

Step three:

the difference between the two speeds is =67.5-65= 2.5

therefore on the second day, the speed is 2.5 miles per hour faster

f (x) = 2x^2 - 4x + 1

Answers

Answer:

tinanong ko rin po yang tanong nyo at ito po ang sagot nila

What is the solution to n/4 = -12.4?

n = 3.1

n = -3.1

n = 49.6

n = -49.6

Answers

Answer:

n= -49.6

Step-by-step explanation:

49.6 i did this test and got it right

Find the simple interest paid to the nearest cent for each principal, interest
Rate, and time.
$1,450, 2.5%, 2 years
and
$390, 3%, 5 years

Answers

Answer:

S I = PRT/100

=1450×2.5×2/100

=1455/100

=14.55

S I =PRT/100

390×3×5/100

5850/100

58.5

Simplify -7 1/8 - 9 1/2

A. - 2 3/8
B. - 16 5/8
C. 16 5/8
D. 2 3/8

Answers

Answer:

d

Step-by-step explanation:

D I’m pretty sure! Hope this helps:)

What is 9 - 3 ÷ 1/3 + 1 Please show work

Answers

Answer:

answer

Step-by-step explanation:

9-3 = 6

6  divided by  1/3  is (3x6) = 18

18 + 1 = 19

Answer:

the answer is 19

Step-by-step explanation:

A recipe calls for 1 1/2 teaspoons of cinnamon to make 2 dozen oatmeal cookies how many teaspoons of cinnamon are needed to make 60 oatmeal cookies

Answers

Answer:

c

Step-by-step explanation:

Select all equations that have graphs with the same y-intercept.

Group of answer choices

y=3x - 8

y=3x - 9

y=3x + 8

y= 5x-8

y=2x -8

y=1/3x -8

Answers

y=3x-8,5x-8,2x-8,1/3x-8 how to find it is to look at the (x,y) if the equation have the same y (y-intercept)

The 2020 Election is shaping up to be the largest one yet! They estimate that there are 240,000,000 eligible voters in the United States this year. So far, 70,000,000 have voted, and experts estimate that upwards of 150,000,000 people will vote in total this year. What percentage of eligible voters will participate in this year's election?

Answers

Answer:

Percentage = 91.67%

Step-by-step explanation:

Number of eligible voters = 240,000,000

Number of voters so far = 70,000,000

Number of estimated voters = 150,000,000

Total number of participants (voters) = 70,000,000 + 150,000,000 = 220,000,000

To find the percentage;

[tex] Percentage = \frac {220,000,000}{240,000,000} * 100 [/tex]

[tex] Percentage = \frac {11}{12} * 100 [/tex]

[tex] Percentage = 0.9167 * 100 [/tex]

Percentage = 91.67%

Therefore, the percentage of eligible voters that will participate in this year's election is 91.67%

Answer:

91.67%

Step-by-step explanation:

SoMebOdY oNcE

ToLd mE iTS

YOur pOweR

ToDo

rOKi-

What is the ordered pair for point A

Answers

Answer:

(-1.5, 2.5)

Step-by-step explanation:

look at x-value and y-value

find difference between -1 and -2 which is 0.5 same goes with y-axia

PLEASE HELP I'M QUITE SURE WITH THIS QUESTION

Answers

The answer is  ( D ),   y ≤ 6

The range begins from minimum value to maximum value.

However, in the graph. There's no minimum value as it's heading toward negative infinity.

So we use y ≤ 6 instead.

So the clear answer is y ≤ 6 or ( D )

A boat rental company recommends a boat that can go 402 miles on LaTeX: \frac{23}{2}23 2 gallons of gasoline. However there are other boats available that have better fuel efficiency. Their rates miles to gallons are listed. Select the rates that have better miles per gallon than the recommended boat.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Distance = 402\ miles[/tex]

[tex]Gasoline = 23/2\ gallons[/tex]

Required

Determine boats with better rates

This question requires options which are missing. However, I'll give an explanation on how to determine the right answers.

First, determine the rate of the given boat by dividing distance by amount of gasoline.

[tex]Rate = Distance/Gasoline[/tex]

[tex]Rate = 402\ miles / \frac{23}{2}\ gallons[/tex]

[tex]Rate = 402\ miles * \frac{2}{23\ gallons}[/tex]

[tex]Rate = \frac{402\ miles * 2}{23\ gallons}[/tex]

[tex]Rate = \frac{804\ miles}{23\ gallons}[/tex]

[tex]Rate = 34.96\ miles/gallon[/tex]

For the list of mission options, calculate the rate using the same formula used above... then compare the results.

Take for instance, we have a boat with:

[tex]Distance = 500\ miles[/tex]

[tex]Gasoline = 10\ gallons[/tex]

Rate would be:

[tex]Rate = 500\ miles/10\ gallons[/tex]

[tex]Rate = 50\ miles/gallons[/tex]

By comparing these rates, we have that:

[tex]50 > 34.96[/tex]

So, this new boat has a better rate than the given boat.

Apply this on the missing options

Y’all please helppp it says (ax + by)/c = d solve for x

Answers

I submitted the answer for x in the image below

Answer:

[tex]x=\frac{dc-by}{a}[/tex]

Step-by-step explanation:

[tex]\frac{ax+by}{c}=d\\\\ax+by=dc\\\\ax=dc-by\\\\x=\frac{dc-by}{a}[/tex]

Lucy can spend no more than $125 on props for a school play. She has already phurchased costume fabrics that cost $49. Write and solve an inequality to show how much more she spend on props.

Answers

Answer: 49+x≤  125, where  x = Amount she can spend more on props.

Now she can spend no more than $76 on props.

Step-by-step explanation:

Given: Lucy can spend no more than $125 on props for a school play.

I.e. Total money she can spend ≤ $ 125

She already purchased costume fabrics that cost $49.

Let x = Amount she can spend more on props.

Required inequality: 49+x≤  125

Subtract 49 from both sides, we get

x≤ 76

Hence, now she can spend no more than $76 on props.

El peso promedio de 500 árboles de un vivero es de 70kg y la desviación estándar de 3kg. Suponiendo que los pesos se distribuyen normalmente, encontrar CUANTOS arboles pesan: a) Entre 60 y 75 kg b) Más de 90kg c) Menos de 64kg. D) 64 Kg

Answers

Answer:

Step-by-step explanation:

Resolvemos usando la fórmula de puntuación z

z = (x-μ) / σ, donde

x es la puntuación bruta

μ es la media poblacional = 70 kg

σ es la desviación estándar de la población = 3 kg

a) Entre 60 y 75 kg

Para x= 60kg

z = 60 - 70/3 kg

=-3.33333

Valor de probabilidad de la tabla Z:

P(x = 60) = 0.00042906

Para x = 75 kg

z = 75 - 70/3 kg

= 1.66667

Valor de probabilidad de la tabla Z:

P(x = 75) = 0.95221

P(x = 75) - P(60)

0.95221 - 0.00042906

b) Más de 90 kg

Para x> 90 kg

z = 90 - 70/3

= 6.66667

Valor de probabilidad de la tabla Z:

P (x <90) = 1

P (x> 90) = 1 - P (x <90) = 0

Número de árboles = 500

Por tanto, 500 × 0 = 0 árboles

c) Menos de 64 kg

x <64 kg

z = 64 - 70/3 kg

= -2

Valor de probabilidad de Z-Table:

P (x <64) = 0,02275

Hay 500 arboles

= 500 × 0.02275

= 11.375 árboles

D) 64 kilogramos

x = 64 kg

z = 64 - 70/3 kg

= -2

Valor de probabilidad de Z-Table:

P (x = 64) = 0,02275

Hay 500 arboles

= 500 × 0.02275

= 11.375 árboles

Jim is baking chocolate chip muffins. He has a total of 7 1/3 cups of chocolate chips. If each batch of muffins uses 2/3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake

Answers

Answer:

16

Step-by-step explanation:

The first step to answering a question like this is to turn it into an improper fraction so 7 1/3=24/3. Then divide the numerator by the denominator so 24 divided by 3=8 so 8=1/3. Their is 2/3 so do 8 times 2 which equals 16

A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight?

Answers

Answer: 0.95

Step-by-step explanation: 1.0 and 10% is 0.10 so 5% is 0.5 and if u take 0.5 away from 1.0 it’s 0.95

Mary has $267 in her checking account . She writes checks for $33,$65 and 112. What is the balance in her account now ?

Answers

Answer:

57

Step-by-step explanation:

$267 - $33 - $65 - $112 = $57

The point (1,0) is rotated (5π/4) about the origin. Find the coordinates of its image correct to three decimal places.

Answers

Answer:

The result can be shown in multiple forms.

(1,0),3.92699081 ...

Roman solved the equation 5 a + 2 b = 10 for a. His steps are shown below.


1. Subtract 2b: 5 a + 2 b minus 2 b = 10 minus 2 b. 5 a = 10 minus 2 b.


2. Multiply by 5: a = 50 minus 10 b.



Which statement about Roman’s work is true?

I need a quick answer pls!

Answers

Answer:

In step 2, he needed to divide both sides of the equation by 5

Step-by-step explanation:

I'm very positive about this

Hope this helps!!!!!!

Answer:

step 2

Step-by-step explanation:

A small business borrows $50,000 to get started. Some of the money is borrowed at 9%, some at 7%, and some at 10% simple interest. The total of the annual interest they are charged is $4340, and the amount borrowed at 7% is two times the amount borrowed at 9%. Set up a system of equations to represent the situation, then find the amounts of money (x, y, and z) borrowed at each interest rate.

Answers

Answer: Amount borrowed at 9% = 9,428.57

Amount borrowed at 7% = $18,857.14

Amount borrowed at 10% = $ 21,714.29

Step-by-step explanation:

Formula for simple interest :

I = PRT,

P= Principal, R =rate , T= time

Let x = amount borrowed at 9%.

y = amount borrowed at 7%.

z = amount borrowed at 10%.

i.e. x+y+z= 50000    (i) [Given : amount invested = 50000]

Interest on x = x (0.09)(1)   [as P=x,  T=1 year, r= 0.09]

= 0.09x

Similarly

Interest on y = y(0.07)(1) = 0.07y

Interest on z = z(0.1)(1)=0.1z

Total interest = 0.09x+0.07y+0.1z = 4340   (ii)

Also, y=2x   [given]  (iii)

Put y=2x in (i) and (ii), we get

x+2x+z= 50000 ⇒ 3x+z=50000    (iv)

0.09x+0.07(2x)+0.1z=4340  ⇒ 0.09x+0.14x+0.1z=4340

⇒ 0.23x+0.1z=4340    (v)

Multiply 10 on both sides of (v)

2.3x+z=43400   (vi)

Eliminate (vi) from (v)

0.7x=6600

⇒ x= 9,428.57

From (iii), y= 2(9428.57) =18,857.14

From (vi),

2.3(9428.57)+z=43400

⇒ 21685.71+z=43400

⇒ z= 43400-21685.71

⇒ z=21714.29

Hence, Amount borrowed at 9% = 9,428.57

Amount borrowed at 7% = $18,857.14

Amount borrowed at 10% = $ 21,714.29

Can somebody help pleaseIf a number is a whole number, then it cannot be an

A. irrational number

B. a natural number

C. an integer

D. national number​

Answers

Answer:

the answer is A - An irrational number

A rectangular room is 19.7 m by 7.0 m. What is the side length of a square room with the same area as the room?

Answers

Answer:

68.95

Step-by-step explanation:

HELPPPPPPPP
4 Renting video games from Store S costs $2.50 per game plus a monthly fee of

$5.00. Renting video games from Store T costs $5.00 per game with no monthly
fee. The monthly cost to rent video games depends on the number of video
games, v, rented. Which equation represents the situation when the monthly cost
at Store S is equal to the monthly cost at Store T?
F 2.5v + 5 = 5v
G 2.5 + 5v = 5v
H 7.5v = 5v
J 7.5v = 10v

Answers

Answer:

it is c

Step-by-step explanation:

because I said it is

which of these situations does not have quantities that combine to make 0.
A. In the morning, the temperature rises 30 degrees. in the evening, it falls by 30 degrees
B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter
C. A dolphin swims 20 feet straight down from the surface. it then rise 20 feet to reture to the surface
D. A hot air balloon rises 40 feet. it then drops 40 feet to the ground
Hurry please

Answers

Answer:

B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter

Step-by-step explanation:

also the person who keeps deleting all my answers i hope u break your back

The area of Canada is approximately 1×10^7 square kilometers, and the area of Mexico is approximately 2×10^6 square kilometers. The area of Canada is approximately how many times the area of Mexico?

Answers

Answer:

5 times

Step-by-step explanation:

Given that,

The area of Canada is approximately 1×10⁷ square kilometers, and the area of Mexico is approximately 2×10⁶ square kilometers.

We need to find the area of Canada is approximately how many times the area of Mexico.

Dividing both areas as follows :

[tex]\dfrac{A_c}{A_m}=\dfrac{10^7}{2\times 10^6}\\\\\dfrac{A_c}{A_m}=5\\\\A_c=5A_m[/tex]

So, the area of Canada is approximately 5 times the area of Mexico.

The gas tank in felizs car is 5/6 full each time he drives to or from work he uses 1/12 of a full tank of gas which equation represent the number of times feliz can drive to or from work with the gas in his tank answers are either 1/10 or 7 or 5/72 or 10

Answers

Answer:

the answer is [tex]\frac{5}{6}[/tex]÷[tex]\frac{1}{12}=10[/tex]

Step-by-step explanation:

How many hours would someone who earns $7.50 per hour have to work to earn $116.25?
15.5
123.75
6.45
108.75

Answers

Answer:

15.5 hours

Step-by-step explanation:

cause i know

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