Work-out corner has 5 more than 3 times as many exercise bicycles as the gym. Together they have 21 bicycles. Solve the equation x+3x+5=21 to find the number of bicycles at work-out corner.

A. 17 bicycles
B. 7 bicycles
C. 4 bicycles
Or D. 25 bicycles

Answer: The "rise over run" is equivalent to 1/3

Step-by-step explanation:

Since the m variable in the equation is 3, the line is going to be wider, there for it will go up 1 and 3 to the right with each point on the line, therefore the answer is B.

The requried slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.

The equation is the relationship between variables and represented as y = ax + b.

Here,
A.

The y-intercept is -7.
The equation y = 3x - 7 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Therefore, the y-intercept of this line is -7, not 7, as given in option A.

B.
The "rise over run" is equivalent to 3. Option B is not correct.

C.
point (1, 4) lies on the line.

To check whether the point (1, 4) lies on the line, we can substitute x = 1 and y = 4 into the equation y = 3x - 7 and see if the equation is true:

y = 3x - 7

4 = 3(1) - 7

4 = -4

Since the equation is not true, the point (1, 4) does not lie on the line, and option C is false.

D.
The line has a positive slope.

As we determined earlier, the slope of the line is 3, which is a positive number. Therefore, the line has a positive slope, and option D is true.

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Answer:

2x+12.5

Step-by-step explanation:

0.5(x4-9) +17

=0.5(4x-9)+12

=2x-4.5+17

=2x+12.5

Step-by-step explanation:

The mean is the total sum of the numbers all over the amount of numbers in the question.

Mean=(2+3+4+6+x+8)÷6

NB: 6 is the number of figures available in the question

If Mean =5

5=(23+x)÷6

Multiply both side by 6

5 x 6 = 23 + x

30 = 23 + x

30 - 23 = x

7 = x

Answer:

7

Step-by-step explanation:

We can start by counting the number of values we have, which would be 6 if we count the x. Now multiply 5 by 6 and we get 30. Now we know that 2+3+4+6+x+8 is 30 and so we can subtract all the values, giving us x=7. If we substitute it back in, we get 2+8 which is 10, 4+6 which is also 10, and 7+3 which is 10 again. 10+10+10=30 and now divide 30 by 6 and we get 5; the mean. Hope this helps!

Using the pythagorean theorem, we have :

[tex]4^{2} + x^{2} = 8.5^{2}[/tex]

[tex]x^{2} = 72.25 - 16 = 56.25 \\x = \sqrt{56.25} = 7.5[/tex]

Answer:

y=2x-7

Step-by-step explanation:

2 would equal M because m is your slope.

-7 would be your y intercept

following y=mx+b

The required equation of the line is given as y = 2x -7.

Given that,
The slope of 2 and y-intercept of −7

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The equation of the line is given as.
y = mx + c
Substitute the value in the equation,
y = 2x - 7

Thus, the required equation of the line is given as y = 2x -7.

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Answer:

40 fluid ounces

Step-by-step explanation:

To create a tangent line, 1st we need to know the points at which the tangent is to be located, then calculate the slope and finally with the help of these points and slope we can construct the equation of tangent line.

We need to  take the following steps in order to build a tangent line:

Hence, the above three steps are crucial to create a  tangent line.

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Answer:

Kuroo Here!

Step-by-step explanation:

What do you need help with?

Answer:

The correct answer is B $887.5

Answer:

B.

887.50

Step-by-step explanation:

[tex]si = p \times r \times t \div 100[/tex]

[tex]si \: = 2500 \times 7.1 \times 5\div 100[/tex]

[tex]25 \times 7.1 \times 5[/tex]

[tex] = 887.50[/tex]

Answer:

The 25 paisa coin is worth 1⁄4 of a rupee (1 rupee = 100 paise).

Step-by-step explanation:

The 25 paisa coin is worth 1⁄4 of a rupee (1 rupee = 100 paise).

Answer:

In order to describe the pattern of the number of dots as a function of the picture number you have to take the average values of each number and find the line of best fit between each dot. This gives you a function, such as, f(x) = mx+b.

Answer: There’s 2 cubes left

Step-by-step explanation:

100 divided by 7 is 14 . 7 • 14 = 98100-2 , She is left w a remaining of 2 unit cubes . Meanwhile each table receives 14 marbles each .

Answer:

40-24=16 16/2 = 8

Step-by-step explanation:

Answer:

21.06 square feet

Step-by-step explanation:

Took the test! Good luck

sure thing but first start off by creating the function that we want to plot but isolating y.

y>-2x+4

Technically we are graphing the line of equation y=-2x+4 and finding the values where y>-2x+4

Now using the original equation;

2x+y>4

let's take the origin (0,0) as our reference.

substitute the values in the equation

2(0)+0>4

0>4

False, then this part of the graph is rejected and we want to take the other side :P

Step-by-step explanation & answer:

When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor.

For example, if the scale factor is "k", the algebraic representation of the dilation is

(x, y) → (kx, ky)

For enlargements, k > 1 and for reductions, k < 1.

Hope this is what you needed:)

The after the dilation by scale factor of 3, coordinates the point P(x, y) will become P'(3x, 3y).

A dilation is an enlargement or reduction of a figure about a center of dilation by a specified scale factor [k].

Given is a algebraic rule for a dilation with a scale factor of 3.

Suppose that we have a point P(x, y) which is dilated by the

scale factor of 3. Now, after dilation of the coordinate, the final coordinates of that point P(x, y) will become P'(3x, 3y). If the scale factor would have been less than one the point will contract.

Therefore, the after the dilation by scale factor of 3, coordinates the point P(x, y) will become P'(3x, 3y).

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Answer:

-4 5/12

Step-by-step explanation:

Answer:

i think the answer will gonna be C.

Answer:

C plato

Step-by-step explanation:

Answer:

80 red pencils

Step-by-step explanation:

240/3=80

Answer:

Step-by-step explanation:

All you have to do here is divide 80 by 50.

80/50 = 8/5 = 1.6

Therefore if you convert this into a percentage:

1.6 = 160%

This means that her balance increased by 160%.

Answer:

48 degrees

Step-by-step explanation:

Since triangles WZY and WXY are congruent by HL, angles WYZ and WYX are congruent by CPCTC.

Answer:

Simplifying

75 = 2x + -1

Reorder the terms:

75 = -1 + 2x

Solving

75 = -1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

75 + -2x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0

75 + -2x = -1 + 0

75 + -2x = -1

Add '-75' to each side of the equation.

75 + -75 + -2x = -1 + -75

Combine like terms: 75 + -75 = 0

0 + -2x = -1 + -75

-2x = -1 + -75

Combine like terms: -1 + -75 = -76

-2x = -76

Divide each side by '-2'.

x = 38

Simplifying

x = 38

Step-by-step explanation:

Answer:

120.7016

Step-by-step explanation:

surface area of sphere=4πr²

solution

=4*3.14*3.1*3.1

=120.7016

Answer:

C

Step-by-step explanation:

We start by calculating the z-score of 27 minutes

Mathematically z-score = (x-mean)/SD

FROM the question, mean = 21 and SD = 2

so z-score = (27-21)/2 = 6/2 = 3

The probability we want to calculate is P(z > 3)

we proceed to the standard normal distribution table to get this

P(z > 3) = 0.0013499

Now seeing this, we want to calculate the number of days.

Since there are 180 days in a year and we have 4 years, the total number of days = 180 * 4 = 720 days

The number of days in which the school bus took more than 27 minutes will be ;

720 * 0.0013499 = 0.971928 which is approximately 1

Answer:

C.1

Step-by-step explanation:

On edmentum this is correct.

Answer:y=-4.6667

Step-by-step explanation:

Answer:  y= -4

Step-by-step explanation:

6y + 2 = 9y + 14      Subtract 2 from both sides

      -2             -2

6y = 9y + 12             Subtract 9y from both sides

-9y    -9y

-3y = 12      Divide both sides by -3

y= -4

Answer:

167 minutes

Step-by-step explanation:

i took the test this was right

hope this helps!

Answer:

I think the answer would be 1000 x 2 Over 5 divided by 13 Over 2

Step-by-step explanation:

Sorry if I'm wrong I'm in the test

Answer:

The answer is 8.5

Step-by-step explanation:

50-46.10=3.9

you then divide 3.9 by 46.10 and you get 0.0845...

so you estimate and get your answer

The percent error in Wesley's estimate is 8.5% if the estimated total purchase is $50 and the actual total purchase is $46.10.

Percentage is a form of writing numbers as part of 100. The symbol used to denote percentage is '%'.

Percentage of a number can be calculated by dividing the number with the whole and then multiplying with 100.

Percentage is a dimensionless number because it has no measurement units.

The percent error can be calculated by the formula,

Percent error = [(Estimated value - Actual value)/ actual value] × 100

Estimated total purchase of groceries by Wesley = $50

Actual total purchase made by Wesley = $46.10

Percent error = [(50 - 46.10) / 46.10] × 100

                      = (3.9 / 46.10) × 100

                      = 0.0846 × 100

                      = 8.46%

                      ≈ 8.5%

Hence the percent error for the estimation of total purchase of groceries by Wesley is 8.5%.

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As we know that perimeter of a shape is the sum of all it's boundaries. Also , let assume that the missing side be y . So ,here ;

[tex]{:\implies \quad \sf (4x-4)+(3x+1)+y=13x-8}[/tex]

[tex]{:\implies \quad \sf 4x-4+3x+1+y=13x-8}[/tex]

[tex]{:\implies \quad \sf y+7x-3=13x-8}[/tex]

[tex]{:\implies \quad \sf y=13x-8-7x+3}[/tex]

Collecting like terms :

[tex]{:\implies \quad \sf y=(13x-7x)+(-8+3)}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{y=6x-5}}}[/tex]

Hence , the length of Missing side is 6x-5

Answer:

Step-by-step explanation:

(im presuming this is a triangle)

65 + 45 = 110°

angles in a triangle add up to 180°

180 - 110 = 70°

x = 70°