A company is producing picture frames as well as the glass for the front of the frames. The amount of wood required
for the frame is represented by the function W/(x), and the amount of glass is represented by the function G(x). The
frames have lengths represented by the function f(x) and widths represented by g(x).
X
2
3
4
5
W(x)=2[(f+g)(x)]
14
24
34
44
G(x) = (f-g)(x)
6
27
60
105
Which statement describes the combined functions W(x) and G(x)?
O The amount of glass required has a constant rate of change, but the amount of wood does not.
O The amount of wood required has a constant rate of change, but the amount of glass does not.
O Both the amount of wood required and the amount of glass required have a constant rate of change.
ONeither the amount of wood required nor the amount of glass required has a constant rate of change.

Answer:

∠ 16 = 26°

Step-by-step explanation:

∠ 10 = ∠ 2 = 26°  ( corresponding angles )

∠ 12 = ∠ 10 = 26°  ( vertical angles )

∠ 16 = ∠ 12 = 26° ( corresponding angles )

Answer:

Doing math means generating strategies for solving problems, applying those approaches, seeing if they lead to solutions, and checking to see if your answers make sense

Answer:

-2y=-6x+15

2y=6x-15

y=3x-7.5

y intercept is 7.5

Step-by-step explanation:

make y the subject

Answer:

Y = 7.60X + 1246.67

Step-by-step explanation:

Given the data:

Production Volume (units) Total Cost ($)

400 4000

450 5000

550 5400

600 5900

700 6400

750 7000

Using technology, the linear regression calculator, the regression model obtained by fitting the data is :

Y = 7.60X + 1246.67 ; which is the model giving the relationship between Production volume, x and total cost, y.

Slope = 7.60

Intercept = 1246.67

Answer:

20%

Step-by-step explanation:

Step 1: Subtract starting value minus the final value (decrease)

[tex]\$5.75 - \$4.60\\\\= 5.75 - 4.60 \\\\= 1.15[/tex]

Step 2: Divide the decrease by the original number

[tex]1.15 \div 5.75\\\\= \frac{1.15}{5.75}\\\\= 0.2[/tex]

Step 3: Multiply the result by 100 to get a percent decrease

[tex]0.2 \times 100\\\\= 20[/tex]

Therefore, the percent decrease of the price of paper per package is 20%

Note: If the percentage is negative, it means there was an increase and not a decrease.

Answer:

20%

Step-by-step explanation:

Answer:

See the image for marked congruences.

1. JM ≅ LM                           |      Given

2. △JML is isosceles          |      definition of isosceles

3. ∠MJL ≅ ∠MLJ                  |       isosceles triangle theorem

4. m∠MJL = m∠MLJ             |      definition of ≅

5. JK ≅ LK                            |      Given

6. △JKL is isosceles           |      definition of isosceles

7. m∠KJL = m∠KLJ              |       isosceles triangle theorem

8. m∠MJL + m∠KJM = m∠KJL                         |  adjacent angle theorem

9. m∠MLJ + m∠KMJ = m∠KLJ                         |  adjacent angle theorem

10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM      |   transitive property of =

11. m∠MJL + m∠KJM = m∠MJL + m∠KLM      |   substitution

12. m∠KJM = m∠KMJ          |        subtraction

13. ∠KJM ≅ ∠KLM                |        definition of ≅

14. △KJM ≅ △KLM             |        SAS theorem

15. ∠JKM ≅ ∠LKM                |        CPCTC

16. KM bisects ∠JKL            |        definition of bisector

Answer: 4/27 or 0.148148

First you solve for any grouping symbols ( absolute value, parentheses, brackets, etc.) Since there aren’t any you move on to exponents, 4^3 is the same as 4*4*4 which equals 64. Next you do multiplication 6*2 is 12 so our problem is currently

64-60 over 15+12. Next you simplify, which make the problem 4/27. You can divide which makes your problem 0.148148 but most of the times you keep it as a fraction.

Answer:

Volume of a cylindar: π[tex]r^{2}[/tex]h

3.14 x 18 x 17= 960.83

The volume is  960.84 [tex]cm^{3}[/tex]

Answer:

17202

Step-by-step explanation:

If you couculate it, it gives you this.

There are 9 full cases and 2 additional items are needed to fulfill the order 56 items ordered 6 items per case.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

56 items ordered for 6 items per case.

Now, After divide the quotient shows the number of full case and remainder shows the additional items.

Hence, We get;

 6 ) 56 ( 9

      54

   ---------

        2

Thus, There are 9 full cases and 2 additional items are needed to fulfill the order 56 items ordered 6 items per case.

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256 +639

got you answer 56 +78

Answer:

C

Step-by-step explanation:

2 sides and the included angle of both triangles are congruent, then the triangles are congruent by SAS postulate

Answer:

the third one

Step-by-step explanation:

The volume of the parallelopiped is 14 cubic units

The volume of a parallelopiped with vector sides a, b and c is given by

V = (a × b).c

We know that the parallelopiped has sides

Thus, we proceed as follows

(a × b) = (2, 1, 0) × (3, -1, 2) = (2 × 3)i × i + (2 × -1)i × j + (2 × 2)i × k + (1 × 3)j × i + (1 × -1)j × j + (1 × 2)j × k + (0 × 3)k × i + (0 × -1)k × j + (0 × 2)k × k

Since

So, we have

(a × b) = (2, 1, 0) × (3, -1, 2) = (6) × 0 + (-2)k + -(4)j + 3i + (-1) × 0 + (2)i + -(3)j + -(0)i + (0) × 0

= 0 -2k - 4j + 3i + 2i - 3j - 0 + 0

= 5i  -7j - 2k

= (5, -7, -2)

Since (a × b) = (5, -7, -2)

Thus, the volume of the parallelopiped is

V = (a × b).c

= (5, -7, -2).(4, 0, 3)

= 5 × 4 + (-7 × 0) + (-2 × 3)

= 20 - 0 - 6

= 14

So, the volume is 14 cubic units

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Answer:

50%

Step-by-step explanation:

45 is the median of this box plot and, theoretically, 50% of the data resides between the minimum and the median and 50% resides between the median and the maximum

Answer:

Step-by-step explanation:

2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 ) 72 ÷ 8 − 2 × ( 3 + 1 )

Answer:

(72 divided by 8) second one, 72 divided by (8 - 2),third one,  72 divided by (8 - 2) x (3 + 1). last one. then the leftover number is the first one.

Step-by-step explanation:

Answer:

No it does not suggest that a majority of students at the university do not share this belief

Step-by-step explanation:

No it does not suggest that a majority of students at the university do not share this belief

It is so because we do not know what is the population of university students and how much 178 people relate to the actual population of the university.

Also, the sub set of 178 of the total university population do not represents the entire university population.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality.

The boundary line that separates the coordinate plane into two halves by a linear inequality represents the solutions to the inequality in one half. For > and, the border line is solid, and for and, it is dashed.

To determine the equation governing the inequality line, enter your slope and a point into the formula y = mx + B, where "m" denotes the slope, "x, y" denotes a point on the line, and "b" is the y-intercept. By inserting (0, 0), you get 0 = 0 + b, which equals 0.

When you rewrite the equation, you get y = x/2. The linear inequality x - 5 > 3x - 10 is an illustration. Due to the greater than symbol being utilised in this inequality, the LHS is clearly greater than the RHS.

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Answer:

is greater than

Step-by-step explanation:

7/8 is bigger than 2/4

Answer:

Q = 3.667

Step-by-step explanation:

Answer:

Solve for x+y=10

               6x+35y=118

Step-by-step explanation:

I would solve it for you but my calculator isn't working rn. You could also use a picture calculator and it will give you a more in depth explanation. Hope this helps!

Answer:

{ 8, 2}

Step-by-step explanation:

Basic algebra, the object which is not in a set quantity, which we have to find, is the "some vans" and the "some buses"

So let the number of van be x

Let the number of buses be y

So, since there are 10 vehicles,

x+y=10

Makes sense right

Now, it says that every car can carry 6 students, and every van can carry 35 students, so in another way, we could represent this by saying

6 x Number of van + 35 x Number of buses

thus,

6x + 35y

And since 118 students went on the field trip, this means that

6x +35y = 118

So now we have two equations,

x + y = 10

6x + 35y = 118

We can solve this with substitution

x + y = 10

x = 10 - y

Thus, x = 10-y

Put this in this

6(10-y)+ 35y= 118

60-6y+35y=118

60+29y=118

29y=118-60

29y= 58

y = 58/29

y = 2

Thus, the number of buses, y, is 2

Now since there are 10 vehicles, and 2 are buses, then the other are 8 van

Answer:

19.17cm^2

Step-by-step explanation:

The area for a parallelogram is found by multiplying the base by the height, the base is 2.7cm and the height is 7.1cm, multiply to get the answer of 19.17cm^2

Hope this helps!

Answer:

4424

Step-by-step explanation:

the number 614 is in the base ten system that we use every day. the base five system represents each digit in the number represents the number of copies of that power of 5.

check out:

rapidtables.com/convert/number/base-converter.html

Since the lengths EH and FG have the identical slope ratios as the parallel lines problem that is being given, assertion 4 is true, and so statement 4 is: EHFG.

Two non-vertical lines with the same slope that are located in the same plane are said to be parallel. Two parallel lines cannot cross each other. Right angles connections are those that intersect two non-vertical line in the same plane at a right angle.

Here,

The slope values in EH and FG are the same.

the exhibited proof, which is zero.

This implies that they follow one another in a straight line.

Since the sections EH and FG share the same gradient values as the parallel lines problem that is being given, assertion 4 is true, and so statement 4 is: EH||FG.

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When the cross-section of a wall is 7/16 of an inch thick and the drywall is 1/4 inches thick, the thickness of the texturing on wall is A. 3/16

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

From the information, the cross-section of a wall is 7/16 of an inch thick. If the drywall is 1/4 inches thick. The thickness of the texturing on the wall is the total thickness of the wall minus the thickness of the drywall. The total thickness of the wall is 7/16 inches, and the thickness of the drywall is 1/4 inches, so the thickness of the texturing is:

= 7/16 inches - 1/4 inches

= 3/16 inches.

Therefore, the answer is A. 3/16 inches.

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Answer:

for the first picture, the answer is A

Step-by-step explanation:

this is because it moves up 4, and 2 to the right, which means if it was to move 2 up, it will move 1 to the right. y - 2x, when you put it into y-intercept form, the equation will be y = 2x. which matches the points on the graph.

Answer: A. y = 2x

Step-by-step explanation: You can figure out the relationship between the x and y coordinates on the graph by imagining a line that runs through the given points and then figuring out the equation of the line in slope-intercept form by following the format of y=mx+b. "y" represents the output, "m" represents the slope (vertical change compared to the horizontal change), "x" represents the input, and "b" represents the y-intercept (where the line crosses the y-axis). Since the line is increasing, the slope is going to be positive. To get from the point at (0, 0) to the point at (2, 4), you go 4 units up and 2 units to the right; therefore, the value of "m" (slope) is 2, which is just  the simplified version of 4/2. Since the line crosses the y-axis at (0, 0), the value of "b" is 0. With this information, the slope-intercept equation is y=2x+0. You can disregard the 0 in the equation since it does not have any affect on the graph since it holds no value. Now, the final equation is y=2x.

Answer:

I have the same question, so i chose B and got it right :)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

plato

Answer:

20.8 Kg is equal to 45.86 lbs

Step-by-step explanation:

As we know

1 kilo grams (Kg)  is equal to 2.20462 pounds (lbs)

Given weight = 20.8 kg

On converting 20.8 kg in pounds (lbs), we get -

[tex]= 20.8 * 2.20462\\= 45.856[/tex]lbs

Rounding off to the nearest 10ths, we get -

20.8 Kg is equal to 45.86 lbs

Answer:

5

Step-by-step explanation:

u do 2x2 cuz of the square root and add the 1