2. 50 vehicles belong to an enterprise that has three departments, A, B and C. 6 vehicles are available for the use of all three departments, while 2 vehicles give service to neither of the departments. 24 vehicles are administrated by department B, although 16 of them are also used by the others departments. There are twice as many vehicles in department A as there are in department C. If equal numbers of vehicles are allocated when used by any two departments, find the number of vehicles administrated by each department.​

Answer:

5.4

Step-by-step explanation:

square of 29 = 5.385164807

5.385164807 estimated is 5.4

The figure that shows a reflection of pre-image ABC over the y-axis is Figure D, which has negative x-coordinates for each point.

A figure's reflection over the y-axis is obtained by flipping the figure across the y-axis. This means that each point's x-coordinates are negated while its y-coordinates remain unchanged.

We can see from the figures in the image that the pre-image ABC has positive x-coordinates, and a reflection over the y-axis results in a new image with negative x-coordinates.

As a result, Figure D, which has negative x-coordinates for each point, depicts a reflection of pre-image ABC over the y-axis.

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ANSWER:

4) D, L, B

STEP-BY-STEP EXPLANATION:

When three or more points that lie on the same line are collinear points.

In this case, the only points that are on the same line are D, L B

A scatter plot, because it would show the association, or relationship, between the two variables

From the question, we have the following parameters that can be used in our computation:

The table of values

To show the relationship and association between data values, the data values are best represented on a scatter plot

using the above as a guide, we have the following:

The most appropriate to construct for the data is (b)

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The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

A = -6 and B = 65

From the question, we are to express the given expression in the form (x + A)^2+B by completing the square

The given expression is

x² -12x + 101

Using the completing the square method

x² -12x + 101

Divide the coefficient of x by 2 and then square it

The coefficient of x is -12

Dividing by 2, we get

-12/2 = -6

Squaring

(-6)²

Now, add and subtract this value from the expression

x² -12x + (-6)² + 101 - (-6)²

Then, we can write that

(x - 6)² + 101 - (-6)²

(x - 6)² + 101 - 36

(x - 6)² + 65

Thus,

The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

By comparison,

A = -6

and

B = 65

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A. The distributions of the periods is that using the five number summary is that

B. The box and whisker plot of the periods is attached

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

3rd Period

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

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Answer:

Jocelyn's plane travelled 3650 miles.

Step-by-step explanation:

mph stands for miles per hour.

Let's set up an equation.

total miles = speed(hours)

Jocelyn's plane travelled 500 mph for 7.3 hours.

total miles = 500(7.3)

Multiply.

total miles = 3650

Jocelyn's plane travelled 3650 miles.

Hope this helps!

Answer:

x=-1

Step-by-step explanation:

3x^2+6x=-3

factor:

3x(x+2)=-3

Here, its obvious what x has to be: -1, just solve to confirm:

(3*-1)(-1+2)=-3

(-3)(1)=-3

-3=-3

Hope this helps.

Answer:

the answer is

\( {x}^{ \frac{5}{2} } \)

Answer:

  1900 cm²

Step-by-step explanation:

We can use the given ratios and volume to find the scale factor for the dimensions. Knowing the dimensions, we can compute the surface area using the formula for a cuboid.

__

Let k represent the scale factor. Then the actual dimensions will be 5k, 4k, and 2k. The actual volume will be ...

  V = LWH

  5000 cm³ = (5k)(4k)(2k) = 40k³

  k³ = (5000 cm³)/40 = 125 cm³

  k = ∛(125 cm³) = 5 cm

The cuboid dimensions are 5(5 cm) = 25 cm, 4(5 cm) = 20 cm, and 2(5 cm) = 10 cm.

__

The surface area of the cuboid can be computed from ...

  A = 2(LW +H(L +W))

  A = 2((25 cm)(20 cm) +(10 cm)(25 +20 cm))

  A = 2(500 cm² +(10 cm)(45 cm)) = 2(950 cm²) = 1900 cm²

The surface area of the cuboid is 1900 cm².

Answer:

13.5

Step-by-step explanation:

72/(16/3)

Answer:

Step-by-step explanation:

Where's the line?

Answer:

lorenzo

Step-by-step explanation:

because he has added more blue shade which will make the icing darker , Mariana's icing will be lighter as she added less blue shade :)

Answer:

Lorenzo's icing.

Step-by-step explanation:

They both used the same amount of yellow icing, but if Mariana adds less blue food coloring, then Lorenzo's icing will be darker because he added more blue than Mariana.

The distance between the points (6,−10) and (6,−7) is 3 units

From the question, we have the following parameters that can be used in our computation:

Points (6,−10) and (6,−7)

Because the points have the same x coordinate, the distance between the points (6,−10) and (6,−7) is the difference between the y coordinates

Using the above as a guide, we have the following:

Distance = -7 - -10

Evaluate

Distance = 3

Hence, the distance between the points (6,−10) and (6,−7) is 3 units

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Answer:

B= Bill's money

T= Ted's money

B+T=32

T+6=B

Step-by-step explanation:

If you rearrange the first equation you get:

B=32-T

You can then substitute the B in that equation with T+6:

T+6=32-T

combine like terms to get T:

2T+6=32

2T=26

T=13

Then plug in 13 for T in either of the first equations to get B:

13+6=B

19=B

Answer:

Bill has 19$

Step-by-step explanation:

Bill = b

Ted = t

b = t + 6$

b - t = 6$------equation 1

b + t = 32$------equation 2

(equation 1 - equation 2)

(b - b) + (-t - t) = 6 - 32

0 - 2t = -26

-2t = -26

t = -26/-2

t = -26/-2

t= 13$

(put t = 13$ in equation 1)

b - (13) = 6

b - 13 = 6

b = 6 + 13

b = 19$ (Bill = 19$)

Answer:

$22.50

Step-by-step explanation:

3 weeks = 21 days

21 × 1 + 1.50

21 + 1.50

22.50

Answer:

y=9/2x -13/2

Step-by-step explanation:

i used a calculator i hope its right

Answer:

60%

Step-by-step explanation:

NWEA2020 Mom Helped Meh

Answer:

60%

Step-by-step explanation:

Im good with a scientific calulator.

Answer:

C

Step-by-step explanation:

B

because -8 is smaller than -9, i based it on yhe number line of integers

hoope it helps

Answer:

simple interest=$97.50.

compound interest= $100.668

Step-by-step explanation:

Given:

Principal (P) = $750

Rate (R) = 6.5% (in decimal form, 0.065)

Time (T) = 2 years

Simple Interest = Principal*Rate*Time

Using the formula, the simple interest is calculated as follows:

Simple Interest = $750*0.065*2 = $97.50

Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.

Again:

Compound Interest = Principal*(1 + Rate)^(Time)-Principal

Using the same values as above, the compound interest can be calculated as follows:

Compound Interest = $750*(1+0.065)^(2)-$750

= $750*1.065^2 -$750

= $750 × 1.134225 - $750

= $850.66875-$750

= $100.668

Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668

Answer:

No, the difference is -2.

Step-by-step explanation:

As the sequence progresses, the numbers get smaller(1, -1, -3, ...), and they get smaller by 2. Hence, the change in every number in the sequence as it progresses is -2.

The way to organize 100 toothpicks in a way that fits with the structure of the base ten system as well as how your organization reflects the structure of the base ten system and  others is given below.

According to the base-10 system, each digit of a number can, depending on its position, have an integer value ranging from 0 to 9 (10 possibilities). Powers of 10 are used to determine the locations or positions of the numbers. The term "base-10" refers to a system of numbers where each place is 10 times the value to its right.

Since we have 10 fingers, we employ the base 10 system. Since base 10 only uses the numerals 0 through 9 for its ten digits, students start to realize that there are only 0-9 digits in each place value.

Therefore,  This becomes very vital while adding and subtracting since, depending on the operation, if we have a digit larger than 9, we must either regroup or ungroup to make it less than 10.

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Answer:

x + y = 0

Step-by-step explanation:

x and y are both the same distance from 0 on the number line. That means they are additive inverses (or opposites). Knowing this law, additive inverses always equal 0.

Answer:

The approximate percentage of lightbulb replacement requests numbering between 47 and 68 is 49.85%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 47

Standard deviation of 7

What is the approximate percentage of lightbulb replacement requests numbering between 47 and 68?

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% of the above.

Between 47 and 68:

68 = 47 + 7*3

So 68 is three standard deviations of the mean.

Of the 50% above the mean, approximately 99.7% are between the mean of 47 and 3 standard deviations above the mean, which is 68. So

0.5*0.997 = 0.4985

0.4985*100 = 49.85%

The approximate percentage of lightbulb replacement requests numbering between 47 and 68 is 49.85%.

The equation of the line will be y = 12x -3 and the graph of the line with the given y-intercept and slope is shown below.

First, let us understand the slope intercept form of a line:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

We are given:

(0, −3), m = 12.

We need to determine the graph of the line with the given y-intercept and slope.

To find the value of b;

substitute the given values in the equation of the line, we will get;

y = mx + b

-3 = 12 *0  + b

b = -3

So, the equation of the line will be:

y = 12x -3

Thus, the equation of the line will be y = 12x -3 and the graph of the line with the given y-intercept and slope is shown below.

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Answer:

z=-9 - 5.4

hope it helps

Step-by-step explanation:

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Hello !

Answer :

Explanation :

\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)

\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)

\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)

Have a nice day ;)