Write a system of equations and solve. Three times the first number minus two times the second number equals -7. The second number equals one less than negative three times the first number.

Answers

Answer 1

Answer:

-1 and 2

Step-by-step explanation:

Let the numbers be x and y

Three times the first number minus two times the second number equals -7:

3x - 2y = -7

The second number equals one less than negative three times the first number:

y = -3x - 1

Substitute y in the first equation and solve for x:

3x - 2(-3x - 1) = -73x + 6x + 2 = -79x = -9x = -1

Find the value of y:

y = -3(-1) - 1 y = 3 - 1y = 2

The numbers are -1 and 2


Related Questions

You have 10 pairs of socks, five black and five blue, but they are not paired up. Instead, they are all mixed up in a drawer. It’s early in the morning, and you don’t want to turn on the lights in your darkroom. How many socks must you pull out to guarantee that you have a pair of one colour? How many must you pull out to have two good pairs (each pair is the same colour)? How many must you pull out to be certain that you have a pair of black socks?

Answers

Answer:

Go turn a light on.

Step-by-step explanation:

Flip the light switch

Log3 (x squared + 7x + 21) = 2

Answers

Step-by-step explanation:

log <base a> b = x

means

a^x = b

So

3^2 = x^2+7x+21

x^2 + 7x + 21 - 9 = 0

x^2 + 7x + 12 = 0

(x+3)(x+4)

x = -3 or -4

The required solution given equation is x = -3 or -4.

What is logarithm?

The logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Given:

The given equation is

[tex]Log 3 (x^{2} + 7x + 21) = 2[/tex]

According to given question we have

By the formula of logarithm we get

[tex]log_{a} b = x\\\a^x = b\\So\\3^2 = x^2+7x+21\\x^2 + 7x + 21 - 9 = 0\\x^2 + 7x + 12 = 0\\(x+3)(x+4)\\x = -3 or -4[/tex]

Therefore, the required solution given equation is x = -3 or -4.

Learn more details about logarithm here:

https://brainly.com/question/28346542

#SPJ5

The name of this shape

Answers

Answer:uhhhh

Step-by-step explanation:no fr wht type of shape is tht- who even made shapes honestly

Answer:

i think its a right angle trapiziod

Step-by-step explanation:

man good luck

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101 I meant sorry lol

Answers

Answer:

The third angle is 55 degrees.

Step-by-step explanation:

1) The three angles of a triangle always add up to 180 degrees. So, add together 34 + 101 = 135.

3) Then, subtract 180 - 135 = 55 degrees, and this is the missing angle!

I hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)

Answer:

Hi, I think it's 55 degrees.

Step-by-step explanation:

If you add 34 and 101, then subtract 180 from that, it's 55.

15 cm
16 cm
Part 1: Find the radius of the cone. (2 points)

Answers

formula=1/3 x 3.14 x r^2 x height

=16 is diameter so radius will be 16/2 or 8

:let put terms in the formula:

1/3 x 3.14. x 8^2 x 15 = 1004.8

volume=1004.8

Pippi sold ten more cups of lemonade that cups of iced tea. She sold 120 cups in all. How many cups of lemonade did she sell?

Answers

Answer:

65  cups

Step-by-step explanation:

If she sold 10 more cups of lemonade than tea and sold 120 cups total.  I first would subtract 10 cups from 120 =110.  then I divide 110 /2 = 55 cups

The 55 cups makes it equal then I add the 10 cups back to the Lemonade to get 55+10 = 65

So your answer would be 65 cups of lemonade

how many tims can 60 go into 72 pls help

Answers

Answer:

The answer is 1 time

Step-by-step explanation:

If you subtract 60 from 72 you come out with 12. Which is not enough for you to subtract 60 again so the answer is 1.

Sarah has a savings account with $6,000 in it that earns 5.6% simple interest per year.

How much money, to the nearest penny, will Sarah have in 3 years? Give your answer in dollars.​

Answers

Answer:

$7,008

Step-by-step explanation:

A = P(1 + rt)

P = $6000

r = 0.056 (percent in decimal form)

t = 3 years

A = 6000(1 + (0.056)(3))

A = 6000(1 + 0.168)

A = 6000(1.168)

A = $7,008

Given (15,10) and (30,10) find the slope and describe the line that you would graph.

Answers

Answer:

this is required answer.

I need this fast 25 point 4(-6z+4)

Answers

Answer:

If you are asking for this equation in distributive property the answer is -24z+16, otherwise ldk what you want.

I hope this helps, and have a nice day!

Answer:
-24z+16

Explanation:
= (4)(-6z+4)
=(4) (-6z)+(4)(4)
= -24z+16

A group of friends wants to go to the amusement park. They have $100 to spend on
parking and admission. Parking is $13, and tickets cost $14.50 per person, including
tax. How many people can go to the amusement park?

Answers

Answer:

3

Step-by-step explanation:

14.50 + 13.00 = 27.50

27.50 x 3 = 82.50

Answer:

6

Step-by-step explanation:

\color{red}{14.5}x+\color{blue}{13}=

14.5x+13=

\,\,\color{purple}{100}

100

-\color{blue}{13}\phantom{=}

−13=

\,\,-\color{blue}{13}

−13

Subtract 13 from both sides

\color{red}{14.5}x=

14.5x=

\,\,87

87

\frac{\color{red}{14.5}x}{\color{red}{14.5}}=

14.5

14.5x

=

\,\,\frac{87}{\color{red}{14.5}}

14.5

87

Divide both sides by 14.5

x=

x=

\,\,\boxed{6}

6

\text{6 people can go to the amusement park.}

6 people can go to the amusement park.

Can anyone help me with this - 50 points + brainliest

Answers

Answer:

0 = [tex]\frac{\pi }{6}[/tex]

Step-by-step explanation:

0= 0.52359877

Answer:

a) 9/2

b)8√3

c)25/√2

Step-by-step explanation:

Use the equation: area of a triangle = 1/2×absinθ

a) 1/2 ×3×6×sin 30°

=1/2×3×6×1/2

=9/2

b) 1/2×4×8×sin60°

=1/2×32×√3/2

=8√3

c)1/2×5×10×sin 45°

=1/2×50×1/√2

25/√2

4). THE TEMPERATURE IN ANCHORAGE, ALASKA AT MIDNIGHT
WAS -12°F. BY NOON THE TEMPERATURE HAD RISEN 23°F. WHAT
WAS THE TEMPERATURE AT NOON?

Answers

Answer: 11 degrees F

If it was -12 and by noon it had risen 23 degrees  just add the two numbers together and you get 11 degrees F

If the students walked 3/10 of A mile in 1/10 of an hour, how far did they walk in an hour.

Answers

Answer:

3 miles

Step-by-step explanation:

distance/time = distance/time

3/10 ÷ 1/10 = d ÷ 1

[tex]\frac{3}{10}[/tex] x [tex]\frac{10}{1}[/tex] = [tex]\frac{d}{1}[/tex]

30/10 = d

3 = d

How much time has passed?
Start time: 1:50 p.m.
End time: 4:40 p.m.

Answers

Answer:

2 hours and 10 minutes

Step-by-step explanation:

Sorry it took a while...

Hope this helped! :)

what is the answer 3.3010 x 10^23=

Answers

330,100,000,000,000,000,000,000

Determine the average rate of change
between x=-1 and x=1.

Answers

Answer:

2

Step-by-step explanation:

fine the slope of the line

Answers

Answer:

C

Step-by-step explanation:

slope = diference in y /diference in x = 0-(-4) / 4-2 = 0+4 /4-2 = 4/2 =2

Hagrid had 3 1/2 feet of orange ribbon. He used some ribbon to make a bow for a gift. Now he has 1 3/8 feet of ribbon left. How much ribbon did Hagrid use?

Answers

Answer:

2 1/5

Step-by-step explanation:

What can you conclude from the information in the diagram

Answers

Answer: its not D I got it wrong, I hope that helps in some way:)

Step-by-step explanation:

can you help please ​

Answers

Answer:

top one:  (7b + 6)(7b - 6)

Step-by-step explanation:

the square root of 49b² = 7b

the square root of 36 = 6

you have to have one factor contain +6 and the other -6 so that, when you 'foil', the middle terms cancel out; and the 36 is negative

49b² - 42b +42b - 36  =  49b² - 36

Solve the system of equations.
6x - 5y = 15
2= y + 3
I=
y =

Answers

Answer: x=0 y=-3

Step-by-step explanation: Hope this help

Answer:

y= -3

hope this helps!

Step-by-step explanation:

5y + 6x = 15 y + x = 3 Solve by Substitution : // Solve equation for the variable x  x = y + 3 // Plug this in for variable x in equation 6• (y +3) - 5y = 15 y = -3 // Solve equation for the variable x.

what is the value of X
a 22
b 23
c 24
d 26

Answers

Answer:

sa tingin ko it is a letter c

Step-by-step explanation:

sana makatulong sayo

The answer for this question is c ..... hope this help

which pair of statements is ture?

Answers

Answer:

it is the second one.

Step-by-step explanation:

sorry if wrong though

Pls help asap adn dont guess :DD

Answers

Answer:

[tex]{ \huge \star} \boxed{ \sqrt{3} \times 7 \sqrt{6}}{ \huge \star} \\ = \sqrt{3} \times 7 \times \sqrt{2 \times 3} \\ = 3 \times 7 \times \sqrt{2} \\ = \boxed{ 21 \sqrt{2}} [/tex]

21√2 is the right answer.
Question:-

What is the product of √3 and 7√6 in simplest radical form?

Answer:-

[tex] \small \pink{21 \sqrt{2} }[/tex]

Explanation:-

→ √3 × 7√6

→ √3 × 7 × √2×3

→ 3 × 7 × √2

→ [tex] \small \tt \red{21 \sqrt{2} }[/tex]

7x + 20 [tex]\geq[/tex] 6

Answers

Answer:

x ≥  -200/7    is your answer

Step-by-step explanation:

In a study by the Department of Transportation, there were a total of 95 drivers that were pulled over for speeding. Out of those 95 drivers, 33 were men who were ticketed, 8 were men who were not ticketed, 7 were women who were ticketed, and 47 were women who were not ticketed. Suppose one person was chosen at random.
1. What is the probability that the selected person is someone who was not ticketed, given it is a woman?
2. What is the probability that the selected person is someone who was not ticketed, given it is a man?
Enter your answers as whole numbers or fractions in lowest terms.

Answers

Answer:

1) 47/54 probability that the selected person is someone who was not ticketed, given it is a woman.

2) 8/41 probability that the selected person is someone who was not ticketed, given it is a man.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

1. What is the probability that the selected person is someone who was not ticketed, given it is a woman?

7 + 47 = 54 total woman

47 were not ticketed. So

[tex]p = \frac{47}{54}[/tex]

47/54 probability that the selected person is someone who was not ticketed, given it is a woman.

2. What is the probability that the selected person is someone who was not ticketed, given it is a man?

33 + 8 = 41 men.

8 were not ticketed. So

[tex]p = \frac{8}{41}[/tex]

8/41 probability that the selected person is someone who was not ticketed, given it is a man.

Help!! Picture added:
Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

X = 4

Step-by-step explanation:

That traingle is an isosceles triangle. You know this because the base angles, 45 and 45 are the same. Another characteristic of an iscosceles traingle is that the base sides ( in this case 4 and X ) are always the same

A table of values of a linear function is shown below. Find the output when the input is . Type your answer in the space provided.

input 1234n
output 6420

Answers

Answer:

The New Deal was a series of programs, public work projects, financial reforms, and regulations enacted by President Franklin D. Roosevelt in the United States between 1933 and 1939

person above is correct


In this graph, the y-intercept of the line is lank
The equation of the line is y=blank x blank

Answers

The y intercept is -2
The equation is y = x-2

Answer:

The y intercept is -2

The equation is y = x-2

Step-by-step explanation:

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