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.

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

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).

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.

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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).

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.)

Answer:

90

Step-by-step explanation:

90-15/90= 5/6

90-15= 75

75/90= 83.3333 or 5/6

Answer:

Yeah

Step-by-step explanation:

Just swiss cheese ngl

Answer:

cheddar + turkey

Step-by-step explanation:

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

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:

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

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

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.

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

Answer:

option D , <a +<c = 180

Step-by-step explanation:

please mark brainlist

Answer:

is this the question ?

Step-by-step explanation:

Answer:

n = 37/4

Step-by-step explanation:

that's the answer to you question

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.

Answer:

atleast 1

Step-by-step explanation:

Answer:

269.75

Hope this helps:)

Step-by-step explanation:

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

Step-by-step explanation:

Answer:

465 to 525

Step-by-step explanation:

60 difference

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

Answer:

20 i think

Step-by-step explanation:

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

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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

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.

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

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].

"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].

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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.

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.

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