How many solutions does this system have?

y = 2/3x + 3

2x - 3y = -9


A. one solution

B. two solutions

C. no solutions

D. infinitely many solutions

Answers

Answer 1

Answer:

the answer is A .

Step-by-step explanation:

-2x+y=3 ----> 2x - y = -3

6x=9-3y

6x + 3y = 9

divide by 3 ,

2x + y = 3

Since the slopes are different, they will intersect.

So ONE solution.


Related Questions

Given
f(x) = 3x^2+ 2x – 1 and g(x) =4x- 5find (gof)(-2)

Answers

Answer:

27

Step-by-step explanation:

yeah-ya......... right?

A store clerk sold 25 Mathematics books and 10 English books for a total of $855. If she had sold 10 Mathematics books and 40 English books, she would have got $135 more. form a pair of linear equations and calculate the price of each book.

Answers

Answer:

855+135=990

90x11=990

10x11=110

25x11=275

110+275=385                                                                                                             990+110=1100 

385+1100=1485

1485/11=135

the math books was $11 each so all to gether it is $275.      

the english books was $65 each so all to gether it is 715.

275+715=990

Step-by-step explanation:

The required price of a Mathematics book is $27 and the price of an English book is $18.

What is the equation model?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let's assume that the price of a Mathematics book is x dollars and the price of an English book is y dollars. Then we can form two equations based on the given information:

Equation 1: 25x + 10y = 855

This equation represents the total amount earned by selling 25 Mathematics books and 10 English books for $855.

Equation 2: 10x + 40y = 990

This equation represents the total amount that would have been earned by selling 10 Mathematics books and 40 English books for $135 more than the original total.

To solve for x and y, we can use elimination or substitution. Let's use elimination:

Multiplying Equation 1 by 4, we get:

100x + 40y = 3420

Now, we can subtract Equation 2 from this equation to eliminate y:

90x = 2430

x = 27

Substituting x = 27 into Equation 1, we can solve for y:

25(27) + 10y = 855

675 + 10y = 855

10y = 180

y = 18

Therefore, the price of a Mathematics book is $27 and the price of an English book is $18.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ2

At the same time of day, a woman who is 78 inches tall casts a 63-inch shadow and her son casts a 21-inch shadow. What is the son's height? *

Answers

Answer:

26in

Step-by-step explanation:

The heights of the people in relation to their shadow lengths are proportional.

78in/63in = x/21in

The child's shadow is 1/3 the length of his mom so his height is 1/3 of hers.

78/3 = 26 in

Answer:

The son is 26 inches tall.

Step-by-step explanation:

[tex]\frac{x}{21} = \frac{78}{63}[/tex]

           

[tex]x= \frac{21x78}{63}[/tex]

21x78= 1638

1638÷63=26

Hope this helps

Sorry if I got it wrong!

Maybe Audrey waited 6 pounds 14 in ounces at birth convert her weight to ounces

Answers

Answer:

110 ounces :))

Step-by-step explanation:

The first term of an AP is p & it's common difference is q. What it's 10th term?​

Answers

The first term of an AP = p

The common difference = q

We know that

nth term of an AP = a+(n-1)d

10th term = a+(10-1)d = a+9d

t10 = p+9q

Tenth term of the AP is p+9q

also read similar questions: a) The sixth term of an AP is twice the 3rd term and the first term is 3. Find the common difference and the 10th term....

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If the 17th term of an AP exceeds the 10th term by 7, then the common difference is_____

https://brainly.com/question/16821782?referrer

You need to buy bananas at the store, but you realize you only have $2. How many bananas could you buy if they each cost 30 cents?

Answers

Answer:

6 bananas

Step-by-step explanation:

2 ÷ 0.30 = 6.6 repeating so 6 bananas

Which of the following correctly shows the quotient of 75 divided by 5

Answers

Answer:

answer is when u will multiply 5 with 15 then u will got your answer

just kidding answer is 75

so 75 is quotient

but have written which of the following ( in the question)

so where is the options .

Help (≧∇≦)b only question 15

Answers

Answer: 6 minutes 47.30 seconds is more faster by 4.71 seconds :D

Step-by-step explanation:

in  - order to find out the answer, you must subtract !  why ?  because in racing events the lowest time is the fastest !

Equation : 6 minutes 52.01 seconds - 6 minutes 47.30 seconds

Answer : 4.71 seconds

good luck on your homework ( also is that a savvas realize book ? 0-0 ) !!

(a) $21,000.00 is to be divided in the ratio 5:7:9 respectively for three siblings Antony, Terry
and Jack. Calculate how much money each sibling will get.

Answers

Answer:

See below for answer

Step-by-step explanation:

Set up the equation 5x+7x+9x=2100 and solve for x:

5x+7x+9x=2100

21x=2100

x=100

Now multiply the proportion by 100:

5:7:9 * 100 = 500:700:900

This means that Antony will get $500, Terry will get $700, and Jack will get $900.

Help pls , I’m lost

Answers

i think maybe 2,7 Sorry if i’m wrong

Help me, please? I dont understand these

Answers

Do you not know what slope is? Just use the slope formula which is y2-y1/x2-x1
Choose 2 coordinates and pick one of the y values to subtract by the other and the same x value correlated with ur first y value u subtracted minus the other x value


460,451,442,...
Find the 37th term.
Find the 37th term.

Answers

Answer:

The 37th term is 136.

Step-by-step explanation:

The sequence has a common difference therefore, it is an arithmetic sequence

The formula for arithmetic sequence is

[tex]an = a1 + (n - 1)d[/tex]

where,

an is the nth term,

a1 is the first term,

n is the term number and

d is the common difference

Find the 37th term.

an = a1 + ( n-1 ) d

a37 = 460 + ( 37-1 ) -9

a37 = 460 + ( -324 )

a37 = 136

find the value of n n+150+7+100=200+50+27

Answers

Answer:

Step-by-step explanation:

n+150+7+100=200+50+27

n+257 = 277

n = 277 - 257

n = 20

Answer:

20

Step-by-step explanation:

hope it will help goodbye.if there is any other question feel free to ask

Name the triangle described

Answers

Answer:

acute angle

Step-by-step explanation:

different angles will produce different "opposite side" lenghts, so the angle has 3 distinct angles and therefore 3 distinct sides, different sides means is an Scalene.

Now, one of the angles is 90° or namely a right-angle, that makes it a Right Scalene Triangle.

Caitlin has a cookie recipe that requires 1.25 pounds of sugar how many grams of sugar does she need

Answers

Answer:

For this answer, you need to do a conversion from pounds to grams. 1 pound is equal to 453.592 or just 453.6 grams if rounding is allowed. You would need to multiply 1.25 pounds to the 453.6 grams which would equal 566.99 grams or if you are rounding then it is 567 grams.

Your final answer is 567 grams of sugar.

Which expression is equal to “seven more than a number multiplied by 9"?
a. 9(x + 7)
b. 7 + 9x
c. 9x - 7
d. 9 + 7x

Answers

Answer:

b

Step-by-step explanation:

a: is not because in the distribution property, the answer would be for a, 9x+63.

b: yes.

c: it's subtracting, not adding. The question states adding

d: 7 is not the one being multiplied in the question, 9 is. Therefore b is right

The explaining is not good but im pretty sure it's b..

Marian sells handmade aprons at a local co-op. The wholesale cost of the materials for one apron is $12.99. If she sells the aprons for $25.00, what is the percent of markup? Round to the nearest percent.

Answers

Answer:

92%

Step-by-step explanation:

dnc

The distance between a 16 foot tall flagpole and a 40 foot tall tree is equal to the sum of the lengths of their shadows. If the flagpole casts a 18 foot shadow, find the distance from the flagpole to the tree.

Answers

Answer:

The distance from the flagpole to the tree is 27 ft

Step-by-step explanation:

The ratio of the sides of two similar regular octagons is 5:7. If the measure of each side of the larger octagon is 21 cm, then the measure of each side of the smaller octagon is ________cm.

Answers

Answer:

15 centimeters.

Step-by-step explanation:

If the ratio of two sides of similar octagons is 5:7, then the larger octagon has a side length that is 7/5 times the smaller one. If the measure of the side of the larger octagon is 21, then the measure of the smaller one is 5/7 times that, which is 5/7 * 21 = 15 centimeters.

Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6)

Answers

Step-by-step explanation:

you can always combine terms with the same base term and exponent.

I always recommend to sort the different categories and sequence them, with the highest exponent first.

(g² - 4g⁴ + 5g + 9) + (-3g³ + 3g² - 6)

-4g⁴ + g² + 5g + 9 - 3g³ + 3g² - 6

-4g⁴ - 3g³ + 4g² + 5g + 3

I always compare this with a merger of two galaxies. there are just a few actual collisions and mergers of individual star systems and bodies. mostly the different bodies just mix together into a new, larger galaxy.

If Justin raves his Chevy Camaro south down 1-540 for 2560 meters in 60 seconds, what is his velocity?

Answers

2762 because 1088297396x8926372928 is 8262926366363939 divided by 926292983636392837 is 286228938 then divide again you get 2762

Select the graph of the function f(x) = 4+ 1/x+6

Answers

Answer:

F(x) = 4+ 1/x + 6 = 10x + 1

                                    x

2
Which function has a greater rate of change?
Function 1
Function 2
4
3
2
The function whose input x and
output y are related by
1
X+
2
-*x+7
14-3-2-1 1 2 3 4
2
A) Function 1
B) Function 2
C) Neither, they are equal
D) Neither, one is nonlinear

Answers

a) function 1 has a greater rate of change

Write a number using the following clues:

a multiple of 6
• greater than 30 but less than 90

Answers

Answer: The answer is 36(multiple possible answers though).

6.
In a decorative figurine shop, it takes of an hour to paint 8
identical ceramic figurines. How long does it take to paint one
figurine? At the same rate, how long would it take to paint 12
figurines?

Answers

The time it would take to paint one figurine is 0.125 hour.

The time it would take to paint 8 figurine is 1.5 hours.

The first step is to determine the average rate. Average rate is the total ceramic figurines painted divided by the total time.

Average rate = 8 /1 = 8 figurines / hour

In order to determine how long it would take to paint 8 figurines, divide 12 by the  average rate.

1 / 8 = 0.125 hour

In order to determine how long it would take to paint 8 figurines, divide 12 by the  average rate.

12 / 8 = 1.5 hours

A similar question was answered here: https://brainly.com/question/11967364

6(2u) what is the answer

Answers

12u

there's no step by step

EC
What is the Arabic numeral for this Roman numeral?
VII
07
09
08
STUR

Answers

Answer:

07

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

V = 5

I = 1

V + I + I = 5 + 1 + 1 = 7

Hope that helps

Write the first five terms of the geometric sequence whose first terns 6, and whose common ratio is 3.

Answers

The first five terms of the geometric sequence is 6, 18, 54, 162 and 486

Geometric progression is given by:

[tex]nth\ term=ar^{n-1}[/tex]

where a is the first term, r is the common ratio

Given that first term is 6, and common ratio is 3, Hence a = 6, r = 3

[tex]First\ term=6\\\\Second \ term=6(3)^{2-1}=18\\\\Third \ term=6(3)^{3-1}=54\\\\Fourth \ term=6(3)^{4-1}=162\\\\Fifth \ term=6(3)^{5-1}=486[/tex]

The first five terms of the geometric sequence is 6, 18, 54, 162 and 486

Find out more on geometric sequence at: https://brainly.com/question/24355584

Which expression shows the result of applying the distributive property to 3 (1/5x - 1/7)

A. -3/5x + 3/7
B. 3/5x - 3/7
C. -3/5x - 3/7
D. 3/5x + 3/7

Answers

Hi,

3(1/5x - 1/7)

= 3/5x - 3/7

B

✅(◠‿◕)

2a+b+c=9 a+2b+c=8 a+b+2c=11

Answers

[tex] \: \: \: \: \: \: [/tex]

# 2a+b+c=9

answer

[tex]a = \frac{9}{2} - \frac{1}{2} b - \frac{1}{2} c[/tex]

#a+2b+c=8

answer

[tex]a = 8 - 2b - c[/tex]

#a+b+2c=11

answer

[tex]a = 11 - b - 2c[/tex]

refer to the attachment for explanationhope it helps

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