Set up a system of linear equations, and then solve for the indicated quantities.
Three times the smaller of two numbers plus three times the larger number is – 15.
Six times the smaller number minus three times the larger number is – 21.
Find the numbers.
Let x represent the smaller number. Let y represent the larger number.

Answers

Answer 1

9514 1404 393

Answer:

smaller: -4larger: -1

Step-by-step explanation:

Substituting the given variables into the word problem, we have two equations:

  3x +3y = -15

  6x -3y = -21

Adding these equations eliminates y:

  9x = -36

  x = -4 . . . . divide by 9

Using this in the first equation, we have ...

  3(-4) +3y = -15

  -4 +y = -5 . . . . . divide by 3

  y = -1 . . . . . . . . . add 4

The smaller number is -4; the larger is -1.


Related Questions

How many kilograms of potatoes will each person get if 5 people share 1/3 of a kilogram of potatoes equally?

Answers

Answer:

1/15 kg

Step-by-step explanation:

Divide by 5 can be written as multiply by 1/5

1/3 * 1/5 = 1/15

Assuming part a is correct, how do you do b and c?

Answers

Step-by-step explanation:

B. Yes, we are 99% confident that the population mean is within the interval.

C. Yes, 225 is below the interval minimum, so it is reasonable to conclude the average cholesterol level is greater than 225 mg/dl.

D. No.  Increasing the sample size would decrease the margin of error, so the ends of the interval would move closer to the sample mean of 251.9.  So the interval minimum would still be higher than 225.

what is 0.067 reccuring as a fraction

Answers

Answer:

67/1000

Step-by-step explanation:

How to translate 0.067 to a fraction:

So you can there is the tenths place (which is considered 0 on the decimal behind the point.) The hundredths place (where the 6 is placed), and the thousandths place (where the 7 is placed.)

Since the 7 is placed at the thousandths place, that means the denominator would be 1000. The number behind the point is .067.

So the fraction would be this:

67/1000

(Also it's at it's simplest form.)

Which of the following statements describes the value of the expression 35 – 2x, when x = 6?
A) It is a prime number
B) It is a composite number
C) It is a whole number that is neither prime nor composite
D) It is not a whole number.

Answers

Answer: B

Step-by-step explanation: 3x3=9 1x9 equals 9 if a number has 2 or more sets, it's a composite number. It would not become prime because 9 does not have 1 set.

Answer:

Step-by-step explanation:

b

PLEASE HELP ME ON ALL ASAP!!!! I WILL GIVE BRAINLIEST!!!

Answers

Answer:0=16  1=23   2=30   3=37   4=44

Step-by-step explanation:

GIVE ME BRAINLIESTTTTTTTT

A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?

Answers

Answer:

P(x< 18) = 0.986

Step-by-step explanation:

Step 1: find the z-score using the formula, z = (x - µ)/σ

Where,

x = randomly chosen values = 18

µ = mean = 7

σ = standard deviation = 5

Proportion of the population that is less than 18 = P(x < 18)

Plug in the values into z = (x - µ)/σ, to get z-score.

z = (18 - 7)/5

z = 11/5 = 2.2

Step 2: Find P(x< 18) = P (z<2.2) using z-table.

The probability that corresponds with z-score calculated is 0.986.

Therefore,

P(x< 18) = 0.986

HEY I NEED HELP ASAP!!!!!!!!!!!!!
this is the problem I need help with
n - 25/4 =3

Answers

Answer:

n = 37/4

Step-by-step explanation:

that's the answer to you question

The last school year enrollment of Genoa Middle school was 465 students. This year the enrollment is 525.

Answers

Answer:

465 to 525

Step-by-step explanation:

60 difference

Which line is perpendicular to y=2x-7

Answers

Answer:

y=-1/2x−5/2

Step-by-step explanation:

The equation of a line perpendicular to given line is y=-x/2.

The given equation of a line y=2x-7 and passes through the point (0, 0).

What is slope of an equation?

The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.

The standard form of equation of a line is y=mx+c, where m=slope and c=y-intercept.

So, slope of a given equation is y=2x-7

m=2

Now, slope of a line perpendicular to given line is -1/m = -1/2

Put m= -1/2 and (0, 0) in y=mx+c and simplify.

That is, 0=0+c

c=0

Then, the equation of a line is y=-x/2

Therefore, the equation of a line perpendicular to given line is y=-x/2.

To learn more about the equation of a line visit:

https://brainly.com/question/21511618.

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"Your question is incomplete, probably the complete question/missing part is:"

Which line is perpendicular to y=2x-7 and passes through (0, 0).

You choose a card from a deck of 52 cards. Without replacing the card, you choose a second card. What is the probability of choosing two red cards?

Answers

Answer: 13/51

Step-by-step explanation: After shuffling there are 52 permutations of 52 cards. Each has the probability of occurrence equal to another, that is the probability of any sequence of cards is 1/52.

Let's count only those where there is a red card on the first place and black card on the second. There are 26 red and 26 black cards. Therefore, we have 26 ⋅26 choices for a pair of two first cards. The sequence of other 50 cards in unimportant and any permutation among them is fine for us since we fixed the first two.

Therefore, we have 26 ⋅ 26 ⋅50 different permutations when the first card is red and the second is black.

Therefore, we have 26 ⋅ 26 ⋅50 different permutations when the first card is red and the second is black.

The final probability, therefore, is

26 ⋅26 ⋅50 / 52 = 26 ⋅26 / 52 ⋅ 51 = 13 / 51

13/51 is the final answer

Help!!!!
Which of the following is a condition for the figure below that will not prove /1 // 12?

Answers

Answer:

option D , <a +<c = 180

Step-by-step explanation:

please mark brainlist

Does anyone know the answer?

Answers

Answer:

20 i think

Step-by-step explanation:

X = 63 is the answer.

The sign of the leading coefficient for the polynomial equation of the graph is negative positive zero

Answers

Answer:

The sign of the leading coefficient for the polynomial equation of the graph is NEGATIVE

Hope this helps!

Answer: 1 turning point

Step-by-step explanation:

1079 divided by 4 Yeah Also whoever helps thank you :D

Answers

Answer:

269.75

Hope this helps:)

Step-by-step explanation:

The nth term of an AP is given by 2n +9 find the first term​

Answers

The first term of an AP can be defined as T1 i.e. n=1. According to the given equation,. T1=a=2(1)+9=11.

78 billion scientific notation

Answers

Answer:

78 x 10^9

Step-by-step explanation:

Hope this helps!

Answer:

7.8 x

Step-by-step explanation:

Scientific notations are being used to write very large or very small numbers. In line with this, the other details regarding 78 million in scientific notation are indicated above.

solve the following inequality.
6.3r < -45.36
which graph shows the correct solution?

A) Open circle pointing to the right, starting from -72 to infinity
B) Open circle pointing to the left, starting from -72 to infinity
C) Open circle pointing to the right, starting from -7.2 to infinity
D) Open circle pointing to the left, starting from -7.2 to infinity

Can u help please?? ​

Answers

I’m it might be B hope this helps

Answer:

D. Open circle, point is at -7.2 pointing to the left.

Step-by-step explanation:

Got it right on Edge 2021! Hope I helped <3

A scanner can scan 20 pages and 120 seconds. How many pages can scan in 4 minutes?

Answers

Answer:

40 pages

Step-by-step explanation:

120 or 2 min x 2 = 4

20 x 2 = 40

Sorry I couldn't explain more, but I hope this helps!

Answer:

40 pages

Step-by-step explanation:

convert 4 mins -> 240 secs

then cross multiply 20/120 and x/240 (x represents the pages scanned)

u then get 120x=4800

simplify(divide)-> x=40

Which point is on Analyn's graph

Answers

Do u have a picture I’d the graph?

HELP ME ASAP!!! I WILL MARK BRAINLIEST!!

Answers

Its the last one Brand A is more expensive and is 2$ and Brand B is $1.5

Answer:

Brand A ($2) is more expensive than Brand B ($1.50)  (see below)

Step-by-step explanation:

First, you will have to find the slopes of both lines. Slope is y/x, which is the cost/meter or cost per meter.

Using the slope formula:

          y2 — y1

m  =   ---------------

           x2 — x1

Plug in any two points from both lines:

          y2 — y1

m  =   ---------------  = graph 1 (0, 0), (1,2)

           x2 — x1

            2 — 0

m  =   ---------------

             1 — 0

                2

m  =   ---------------  = $2/m

                1

_______graph 2_______

          y2 — y1

m  =   ---------------  = graph 2 (0, 0), (4, 6)

           x2 — x1

            6 — 0

m  =   ---------------

            4 — 0

                6                  3

m  =   ---------------  = -----------  = $3/2 m

                4                  2

Because you are unable to have an exact cost per meter of Brand B, you can use a ratio:

$3  =  $x

2m =  1m

Cross multiply:

3 (1) = 2x

3 = 2x

x = (3 ÷ 2)

x = 1.5

So Brand B is $1.50 per meter while Brand A is $2.00 per meter. Brand B is cheaper.

What do u think the answer is !!

Answers

Answer:

Yeah

Step-by-step explanation:

Just swiss cheese ngl

Answer:

cheddar + turkey

Step-by-step explanation:

.........mmmm....mm..mm.mm.mm

a chemical change creates a new

Answers

Answer:

A new substance with new and different physical and chemical properties.

Step-by-step explanation:

Chemical reactions involve combining different substances. The chemical reaction produces a new substance with new and different physical and chemical properties. Matter is never destroyed or created in chemical reactions. The particles of one substance are rearranged to form a new substance.

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

the value of x in logx(9/63)=1/2 is​

Answers

Answer: x = 7/2

Step-by-step explanation: u juss simplify 1/2 x 7 to 7/2 so x = 7/2

The value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].

What is a logarithmic equation?

"A logarithmic equation is an equation that involves the logarithm of an expression containing a variable."

Given logarithmic equation

[tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex]

⇒ [tex]log_{10}x(\frac{1}{7} )=\frac{1}{2}[/tex]

⇒ [tex]log_{10}x=\frac{1}{2}({7} )[/tex]

⇒ [tex]log_{10}x=\frac{7}{2}[/tex]

⇒ [tex]x = 10^{\frac{7}{2} }[/tex]

⇒ [tex]x = 10^{3+\frac{1}{2} }[/tex]

⇒ [tex]x = 10^{3}[/tex] × [tex]10^{\frac{1}{2} }[/tex]

⇒ [tex]x = 1000\sqrt{10}[/tex]

The value of  [tex]x = 1000\sqrt{10}[/tex]

Hence, the value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].

Learn more about logarithmic equation here

https://brainly.com/question/14406114

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Mr.Watts is a famous motivational speaker. He travels across the country by jet and gives an average of seven presentations a week. He gives his
speeches in auditoriums that are always full and hold an average of 1000 people each. He charges $40 per person at each of these speeches. His
average expenses for each presentation, including renting the auditorium, are about $20,000. The cost of meals, motels, jet travel, and support
personnel total $60,000 per week. How many weeks will Mr. Watts need to travel if he wants to earn $560,000 per year?​

Answers

Answer:

Mr watts needs 7 weeks

Step-by-step explanation:

The average expense per presentation =  $20,000

Since Mr. Watts can give about 7 presentations per week, hence the average expense per presentation for a week = $20000 × 7 = $140000

Also the  cost of meals, motels, jet travel, and support  personnel total $60,000 per week. Hence the total cost per week is:

Total cost = $140000 + $60000 = $200000

The revenue gotten is $40 per person and can take 1000 people per each presentation. Hence:

Revenue per week = $40 per person × 1000 people × 7 days = $280000

Let assume the number of weeks needed to earn $560000 be x. Hence:

280000x - 200000x = 560000

80000x = 560000

x = 7

adult men weights mean of 190 30 3 random men mean weight

Answers

Answer:

is this the question ?

Step-by-step explanation:

NEED HELP WITH MATH! Will Give Brainliest! Image is below.

Answers

Answer:

#2

Even though the graph dips down, x is still increasing, and y will increase as will .

As x is decreasing, y is also decreasing.

What digit is in ten thousands place 983,471?

Answers

7

The digit in ten thousandths place is 7 as it is the fourth digit to the right of decimal point.

Answer:

8

Step-by-step explanation:

9= one hundred thousands

8= ten thousands

3= one thousands

4= one hundreds

7= tens

1= ones

What is the value of a in the proportion???? need help!!!

Answers

Answer:

90

Step-by-step explanation:

90-15/90= 5/6

90-15= 75

75/90= 83.3333 or 5/6

Evaluate each expression.
b)

d)
169 cm2:13x13=169 13cm by cm

2500 cm2:50x50=2500 50cm by cm

/8
a) 2 + (10 − 3) =2+(10-3)
c)
(4 + 3)2 − (3 − 1)3 =
= 2+(7)=10

=


=






11.






b) (3 + 5) × 6 ÷ 3 + (8 + 52)
d)
18 + (4 + 5)2 × 2
=
=(7)x6/3+(177)


=
=(42/30


=
=


=
=



=

Answers

Answer:

atleast 1

Step-by-step explanation:

Just one more question I need this in a step by step please

Answers

Answer:

2x+20+3x+40=90

5x+60=90

5x=30

x = 6

2x+20 = 2(6)+20

12+20

=32

3x+40 = 3(6)+40

18+40

=58

Answer:

Here we can first find the value of x simply by using the concept of corresponding angles.

As we know that angle with measurement 2x+20Degree and the right angle below are corresponding as we can consider the line (underlined in red) as a transversal intersecting lines underlined in green. {PLEASE SEE THE ATTACHMENT TO SEE THE HIGHLIGHTED LINES}

So, we get 2x+20 degree = 90 degree.

=  2x+20=90

=  2x=90-20

=  2x=70

=  x= 70/2

=  x=35 degree.

Now as we know the value of x we can find the other unknown angle by substituting it in the equation for the other angle.

Therefore, 3x+40degree= 3*35+40

105+40

=  145 degrees.

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