The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount spent for all items each month. Let x1, x2, x3 represent the cost for each widget, gizmo, and blibbet. Complete the linear system:

Answer:

Option (B). Perimeter of the quadrilateral ABCD= 14.6 units

Step-by-step explanation:

From the figure attached,

Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).

Length of AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

                      = [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]

                      = [tex]\sqrt{8}[/tex]

                      = 2.83 units

Length of AD = [tex]\sqrt{(3-5)^2+(5-3)^2}[/tex]

                      = [tex]\sqrt{8}[/tex]

                      = 2.83 units

Length of BC = [tex]\sqrt{(1-3)^2+(3+1)^2}[/tex]

                      = [tex]\sqrt{20}[/tex]

                      = 4.47 units

Length of DC = [tex]\sqrt{(5-3)^2+(3+1)^2}[/tex]

                       = [tex]\sqrt{20}[/tex]

                       = 4.47 units

Perimeter of the quadrilateral = AB + AD + DC + BC

                                                 = 2.83 + 2.83 + 4.47 + 4.47

                                                = 14.6 units  

Option (B) is the answer.

Answer:

(C)81

Step-by-step explanation:

Total Number of Students =300

Percentage who had cats, n(C) = 40%

Percentage who had both cats and dogs , [tex]n(C \cap D)[/tex] = 12%

Percentage who had neither cats nor dogs, [tex]n(C \cup D)'[/tex] =45%

Now:

Universal Set, [tex]U = n(C)+n(D)-n(C \cap D)+n(C \cup D)'[/tex]

[tex]100 = 40 + n(D)-12+45\\n(D)=100-73\\$Percentage of those who own dogs =27\%[/tex]

Therefore:

Number of Students who had dogs

=27% of 300

=81

Answer:

The answer is B.

Step-by-step explanation:

The shape form a Rectangular Pyramid.

Answer:

B, a Pyramid

Step-by-step explanation:

The net has a square base with 4 triangular faces. D, which is also a triangular prism, is not right as it has a triangular base, with every side being a triangle.

So B is the right answer.

Answer:

-0.87 has the strongest linear relationship

Step-by-step explanation:

-0.87, since it is the closest value to either one or negative one,

0.8 is the second strongest

0.65 is the third strongest

-0.52 is the least strongest

Answer:

3.76 × 10^4

Step-by-step explanation:

1. Work out what they are.

1.26 × 10^4 = 12600   (check your calculator to see if I'm right)

To get this, I multiplied 1.26 by 10,000. This is because 10^4 is 10000 (it has 4 zeros). Or you could move the decimal point forward 4 spaces.

2.50 × 10^4 = 25,000

By doing the same thing above.

2. Add them together

12,600 + 25,000 = 37,600

3. Change the answer into its scientific notation

To do this we need to divide 37,600 by a number to make it less than 10, but still keeping the digits. This always ends in zeros by the way (e.g. 100, 1,000, 100,000).

37600 ÷ 10,000 = 3.76

Next:

Scientific notations always have times 10 to the power of something (× 10^x). So we put that in:

3.76 × 10^x   what is x?

x is the number of of times you multiply by 10 to get back to 36700. This is 4 times.

(This is the same as multiplying by 10,000 as it has 4 zeros. This is also the same as moving the decimal point 4 spaces)

So your final answer is: 3.76 × 10^4

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

We have the equation

[tex]10-(x+2)=7x[/tex]

The first thing we need to do is distribute the negative throughout the parenthesis

[tex]10-x-2=7x[/tex]

Now, we can combine like terms

[tex]8-x=7x[/tex]

Now we can add x to each side

[tex]8x=8[/tex]

And lastly, we can divide each side by 8

[tex]x=1[/tex]

Our last step is to check our answer

[tex]10-(1+2)=7(1)\\\\10-(3)=7\\\\7=7[/tex]

Answer:

1

Step-by-step explanation:

1) 10-x-2=7x

2) -x + 8 = 7x

3) 8x=8

4) x=1

Answer:

Step-by-step explanation:

[tex]s_{n}=3-2^{-4n}\\s_{n+1}=3-2^{-4(n+1)}=3-2^{-4n} *2^{-4}\\s_{n+1}-s_{n}=3-2^{-4n}*2^-4-3+2^{-4n}[/tex]

[tex]=2^{-4n}-2^{-4n}*2^{-4}\\=2^{-4n}(1-2^{-4})\\=2^{-4n}(\frac{2^4-1}{2^4})\\=2^{-4n}\frac{15}{16}\\U_{n+1}=15*2^{-4(n+1)}[/tex]

Answer:

the median for A is 26 and the mean for B is 24

Step-by-step explanation:

since 24 and 28 are both in the middle we need to find the mean of 24 and 28 to find A's median.

18+19+21+25+29+32=144

144 divided by the # of terms 6 gives our mean 24 for B.

Answer:

-1/3 I think

Step-by-step explanation:

I find the slope by finding 2 points where the line hits. I then just count up and across. Could be wrong :/

Hope this helps though :)

Answer:

slope = y2-y1

x2- x1

= 4-2 = 2

6-0. 6

= 1/3

Answer:

A≈896.81

Step-by-step explanation:

This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.

P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!

Answer:

BC= 5.87 (nearest hundredth)

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

So to start, the first number in the set is usually on the x axis. The x axis is the line going to the right. You go two ticks on there. Next is the second number, so what you do is just go up 5 ticks from there andd there ya go, you graphed it!

Um, I'm not very good at explaining but I hope that makes sense haha. I don't really understand the point of marking brainliest, but if you want you can mark mine it

Taking 1 cm = 1 unit we draw the x-axis and y-axis and plot (2,5) at a distance of 2 from x-axis and distance  of 5 from y-axis.

A point has two inputs namely the x-coordinate and y-coordinate. The  x-coordinate and y-coordinate is the perpendicular distance from y axis and x axis respectively.

Given point is (2,5)

Plot x=2 at a perpendicular distance from y axis measured along positive x axis

plot y=5 at a perpendicular distance from x axis measured along positive y axis

and we get the required point.

The point (2,5)  is plotted in the graph attached with the answer.

Learn more about co-ordinates here:

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Answer:

Completing includes a change for the extra term has to be subtracted

Where completing the square to an equation will always result in finding what equals zero.

Answer:

Look at the attachment

Answer:

21

3x21= 63 have a great day

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

3.5 is your answer.

Step-by-step explanation:

(7.7x10^-2) divided by (2.2x10^-2

Just *Divide*

Hope this helps.

: )

Answer:

9.110° and y are the same(alternate angles)

thus y=110°. 110+x=180(seplementary angles). thus x=180-110=70°

z(alternate)=70°

10.y=78°. x=(180-78)=102°. z=102°

11.x=83°. y=(180-83)=97°. z=97°

12.y=37°. x=(180-37)=143. z=143°

to confirm the answers all angles in a circle at the centre add up to 360°

Answer:

A. 72

Step-by-step explanation:

Since the volume of a figure is the area of the base multiplied by the height, the volume of this one is 12*6=72 cubic inches, or answer choice A. Hope this helps!

Answer:

A would be the right answer :)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The slope formula is change in y over change in x, in this case it's  [tex](2-(-6))/(5-1) = 8/4 = 2[/tex]

Answer:

go to ur right 5 up 2 the put a dot then for the other one go to ur right one time then down 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Perhaps you know of the {3, 4 ,5} Pythagorean triple.

Pythagoras stated a² + b² = c²

so checking for A:

a² + b² = c²

5² + 12²

25 + 144 = 169 which is 13²

Only answer A. (5, 12, 13) is a Pythagorean triple.

The others are not.

The correct answer for Pythagorean triple are (5,12,13). The correct option is A.

A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagorean theorem can be written as:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Check each option:

A. (5, 12, 13)

=[tex]5^{2} +12^{2} \\[/tex]

= [tex]25 + 144[/tex]

= 169

[tex]= 13^{2} \\= 169[/tex]

Since both sides are equal (169 = 169), this is a Pythagorean triple.

B. (1, 1, 2)

[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]

[tex]= 2^{2} \\= 4[/tex]

The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.

C. (3, 4, 6)

[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]

[tex]=6^{2}[/tex]

[tex]= 36[/tex]

The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.

D. (5, 8, 10)

[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]

[tex]= 10^{2} \\= 100[/tex]

The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.

The correct answer is (5,12,13). The correct option is A.

Learn more about Pythagorean triple here:

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Answer: 12

Step-by-step explanation:

The circle is 360 degrees in total

360/6 = 60

72/6 = 12

Answer:

28

Step-by-step explanation:

DI is a radius, which is half of a diameter. CJ is a diameter, so you just double toe radius which is 14, to get 28.

Answer:

28

Step-by-step explanation:

Since DI is 14, then DJ would be the same length, and so would DC. So we add DJ plus DC, which is 14+14. 28 is our answer.

Answer:

Rotation of 180° about the origin, translation of (x-10, y+2), and a reflection across x=-6

Step-by-step explanation:

The answer above me would be the answer if the problem was focussed on the y-axis, but, the problem is focussing on the x-axis.

The problem was focused on the y-axis, but, the problem is focused on the x-axis.

We have given that,

the sequence of transformations will map figure H onto figure H

We have to determine the transformation given in the following diagram.

Rotation about the Origin is a transformation that rotates or turns a figure (e.g., a triangle) about the origin point (x,y)→(0,0).

( x , y ) → ( 0 , 0 ) . The angle of Rotation: The number of degrees that a figure is turned or rotated about the origin.

Rotation of 180° about the origin, translation of (x-10, y+2), and a reflection across x=-6

The problem was focused on the y-axis, but, the problem is focused on the x-axis.

To learn more about the rotation visit:

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Answer:

A. X Y

-10 10

-5 5

0 0

5 -5

10 -10

Step-by-step explanation:

Because it is a relationship involving more than one variable where each input is related to one output. If graphed the line segment would only touch one point at a single time.

Answer: It’s A and C

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

a₁ represents the first term in the sequence. Here the first term is 13, thus

a₁ = 13

Answer:

Volume V = 164,636,210,208.924 km^3

Step-by-step explanation:

Volume of a sphere is;

V = (4/3)πr^3

radius r = 3400 km

Volume of mars V = (4/3)π×3400^3

V = 164,636,210,208.924 km^3

Answer:

7 and 21

Step-by-step explanation:

the ratios are following a 1:3 pattern. basically, whichever number is in the first row, the second row will have it times 3. So, if you chose the number 7, 7x3=21, so 7 & 21 are other ratios in the pattern

Answer:

N=0

Step-by-step explanation:

If we wanted to answer the question mathematically, we could solve like so:

17n=0.5n

17n-0.5n=0.5n-0.5n

16.5n=0

n=0

Answer:

C. The graph of G(x) is the graph of F(x) flipped over the x-axis and

stretched vertically

Step-by-step explanation:

Given:

If we multiply F(x) by -1, we flip it over the x-axis. We get -F(x).

If we multiply -F(x) by 2, we stretch it vertically.