Help ASAP plz
Jacob bought 5 boxes of pencils for his drawing class. Each box contains 12 pencils. Which point on the graph shows the number of pencils he bought?

Answer:

See below.

Step-by-step explanation:

30.

E(1, 2), F(5, 6), G(3, -2)

a)

H, midpoint of segment EG

H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)

J, midpoint of segment FG

J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)

b)

Show that segment HJ is parallel to segment EF.

Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.

slope of segment HJ:

slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1

slope of segment EF:

slope EF = (6 - 2)/(5 - 1) = 4/4 = 1

slope HJ = slope EF = 1

Segments HJ and EF are parallel since their slopes are equal.

c)

Show HJ = (1/2)EF

We use the distance formula to find the lengths of segments HJ and EF.

length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)

length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)

HJ = (1/2)EF

Substitute the lengths we found just above for HJ and EF:

2sqrt(2) = (1/2)[4sqrt(2)]

2sqrt(2) = 2sqrt(2)

The two sides are equal, so we have proved that HJ = (1/2)EF.

Answer:

4(9a+5)

Step-by-step explanation:

Answer:

4(9a+5)

Step-by-step explanation:

Their common factor is 4 so divide both by 4 and put it in parentheses times 4  

Answer:

y=2x-5

Step-by-step explanation:

They want to read my mind they really want to read my mind.

Answer: Light bulbs.

Step-by-step explanation:

Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.

Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.

Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.

Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.

Answer:

The seating capacity of the auditorium is 2,340.

Step-by-step explanation:

This question relates to an Arithmetic Progression (AP).

An Arithmetic Progression (AP) is a sequence of numbers in which the differences of every two consecutive numbers or terms are constant or the same.

Therefore, the seating capacity can be calculated using the an arithmetic progression (AP) formula as follows:

Seating capacity = (n / 2) * (2a_1 + (n - 1)d) ...................... (1)

Where;

n = number of rows = 30

a_1 = Number seats in the first row = 20

d = Common difference = 24 - 20 = 28 - 24 = 4

Substituting the values into equation (1), we have:

Seating capacity = (30 / 2) * ((2 * 20) + ((30 - 1) * 4))

Seating capacity =  15 * (40 + (29 * 4))

Seating capacity =  15 * (40 + 116)

Seating capacity =  15 * 156

Seating capacity = 2,340

Therefore, the seating capacity of the auditorium is 2,340.

Answer:

6.40312423 hope that helps

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (- 5, 8) and (x₂, y₂ ) = (- 3, 1)

d = [tex]\sqrt{(-3+5)^2+(1-8)^2}[/tex]

   = [tex]\sqrt{2^2+(-7)^2}[/tex]

   = [tex]\sqrt{4+49}[/tex]

    = [tex]\sqrt{53}[/tex]

Answer:    $16.65

Step-by-step explanation:3.7*$4.50=$16.65

Answer: 56

Step-by-step explanation: Divide 42 by 3 and then multiply by 4

Answer:

Following are the solution to this question:

Step-by-step explanation:

[tex]\angle AOB + \angle BOC = 180\\\\\angle MON = (\angle AOB + \angle BOC): 2 \\\\[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

In point a:

[tex]\angle AOB = 60\\\\ \angle BOC = 120\\\\ \angle MON = (60 + 120): 2 \\\\[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

In point b:

[tex]\angle BOC = 100\\\\\angle AOB = 80\\\\ \angle MON = (100 + 80): 2[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

Answer:

C

Step-by-step explanation:

Answer:

904.78 in I think but I'm not 100%

Answer:

V≈904.78

Step-by-step explanation:

V=4/3[tex]\pi[/tex][tex]r^{3}[/tex]

V=4/3[tex]\pi[/tex](6)^3

V≈904.78

I'm pretty sure this is correct.

Answer:

C. The domain is greater than -3 and less than 7.

Step-by-step explanation:

Just like the other one

x is domain

< = less than

≤ = less than or equal to

Answer:

c

Step-by-step explanation:

should b. cause most true usagw 'the domain'

good luck

Answer:5/14

Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered

The correct answer is C plane HJG

2/3 - 2/5

= 10/15 - 6/15

= 4/15

Answer:

Step-by-step explanation:

Step one:

total number of people surveyed= 1500

we are told that 300 people would buy that car again,

this implies that they like the car and are satisfied with it

Step two:

the percent of people satisfied can be computed as

=300/1500*100

=3/15*100

=1/5*100

=0.2*100

=20%

The people surveyed were satisfied with the​ car are 20%

Answer:

[tex]P(A\ n\ B) = 0.557[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.78[/tex]

[tex]P(B) = 0.65[/tex]

[tex]P(A\ u\ B) = 0.873[/tex]

Required

Determine [tex]P(A\ n\ B)[/tex]

From laws of probability, we have:

[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]

Substitute in values

[tex]P(A\ n\ B) = 0.78 + 0.65 - 0.873[/tex]

[tex]P(A\ n\ B) = 0.557[/tex]

Hence, [tex]P(A\ n\ B)[/tex] is calculated to be 0.557

Answer:

Assuming we have the same question, the answer would be: D) h = 45tan59° ft

Step-by-step explanation:

Note: Consider we need to find the constant of proportionality.

Given:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

It costs $27 to rent the kayak for 5 hours.

To find:

The constant of proportionality.

Solution:

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.

[tex]27=k(5)[/tex]

Divide both sides by 5.

[tex]\dfrac{27}{5}=k[/tex]

Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].

Answer:

23

Step-by-step explanation:

we will put 8 instead of "y" in the equation

2 x 8 + 7 = 23

Answer:

a

Step-by-step explanation:

Answer:

$181.9

Step-by-step explanation:

Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.

English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.

Answer:

30

Step-by-step explanation:

I can't prove this, but I can tell you the answer.

30.

a = 100 s  digit

b = 10 s digit

5 is always the units digit.

I'm pretty sure that 30 is the correct answer.

What an interesting question. If I find out how it is done, I'll post it in the comments.

I can say this much.

a + b + 5 must be divisible by 3.

a = 1     b = 9     + 5

a = 1     b = 6     + 5

a = 1     b = 3     + 5

a = 1     b = 0 +  5

===============

Three more are obtained by interchanging the 100s and 10s digit except for b = 0

a = 9     b=1    + 5

a = 6     b =1   + 5

a = 3     b= 1   + 5

==================

a = 2    b = 2 + 5

a = 2    b = 5  + 5

a = 2    b = 8  + 5

only 2 more are obtained by interchanging the 10s and 100s digit

=============

a = 3   b = 4    +5

a = 3   b = 7    +5

You can't go any further. You get 2 more by interchanging the b and a digits.

=============

I hope you see what I've done here. I don't think this is an exact proof, but it is an exhaustive search.

Answer:

Driver B

Step-by-step explanation:

From the given options, Driver B will win the next race because the previous result shows that Driver B has the fastest race time due to the fact that it recorded the lowest mean race time.

Similarly, the standard deviation of 0.12 seconds illustrates that the driver keep-up with the bearest minimum time frame all through the entire race time.

Answer:

It is B and the other one is Driver C if you have that question

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

7^2+24^2=625 the sqr root of 625 is 25

Answer:

Answer is 25

Step-by-step explanation:

[tex]24x^{2} +7x^{2} =25x^{2}[/tex]

Answer:

8978.9

Step-by-step explanation:

MULTIPLY THE THE GIVEN AND

8.89  ×  1010 = 8978.9

THEN THE RESULT WOUD BE THE STANDARD NOTATION.

Answer:

14.5 hours/14 hours 30 minutes

Step-by-step explanation:

Answer:

the mode is 3.

Step-by-step explanation:

when organized, it's in this order:

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 6

the most repeated number in the dataset is 3.