A school buys 1,950 pencils. The pencils are sold in boxes, with 30 pencils in each box. If each box costs $4.05, what is the total cost, in dollars, that the school will pay for the pencils?

Answer:

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, this means that the multiplication of their slopes is -1.

Perpendicular to y=2x+7

This means that:

[tex]2m = -1[/tex]

[tex]m = -\frac{1}{2}[/tex]

So

[tex]y = -\frac{1}{2}x + b[/tex]

Passing through the point (-4,5)

This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.

[tex]y = -\frac{1}{2}x + b[/tex]

[tex]5 = -\frac{1}{2}(-4) + b[/tex]

[tex]2 + b = 5[/tex]

[tex]b = 3[/tex]

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Answer:

47.12389 Rounded is 47.12

Step-by-step explanation:

V=πr2h=π·12·15≈47.12389

Answer:

hey

Step-by-step explanation:

pls help me then i help u

Answer:

Since they have the same slope, they are parallel.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope. If two lines are parallel, they have the same slope.

4x−3y=6

Placing into the above format:

[tex]3y = 4x - 6[/tex]

[tex]y = \frac{4x - 6}{3}[/tex]

[tex]y = \frac{4x}{3} - 2[/tex]

The slope [tex]m = \frac{4}{3}[/tex]

y=4/3x−1

The slope is [tex]m = \frac{4}{3}[/tex]

Since they have the same slope, they are parallel.

Answer:

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.

X+114=111

add negative -114 to each side to get X alone.

-114+X+114= 111+-114

X=-3 .   Answer negative 3

Answer: you’re welcome

Step-by-step explanation:

The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The probability of making free-throw is 70% = 70/100 = 0.7

Then, the probability of not making free-throw is 1 - 0.7 = 0.3.

The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.

So, this case belongs to the binomial distribution which can be written as,

ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.

Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,

P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²

Hence, the probability of getting exact 8 free-throws out of 10 is  ¹⁰C₈(0.8)⁸(0.3)².

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Answer:

3/8

Step-by-step explanation:

this is because there are 8 students in all and only three of them are boys

Answer:

x > 16

Step-by-step explanation:

3/4x > 12

3x > 48

x > 16

hope this helps

Answer:

do you need Anything else? hope i helped u

Answer:

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.

Answer:

600000000

Step-by-step explanation:

10^8=100000000

6×100000000=600000000

hope this helps

Answer:

1) 56.52 in²

2) 565.2 ft²

3) 235.5yd²

4) 898.04 ft²

5) 942 yd²

6) 75.36 in²

Step-by-step explanation:

SA= πrS + πr²

1) (3.14)(2)(7) + (3.14)(2²) = 56.52 in²

2) (3.14)(9)(11) + (3.14)(9²) = 565.2 ft²

3) (3.14)(5)(10) + (3.14)(5²) = 235.5yd²

4) (3.14)(11)(15) + (3.14)(11²) = 898.04 ft²

5) (3.14)(10)(20) + (3.14)(10²) = 942 yd²

S =5 because 5² = 3² + 4²

6) (3.14)(3)(5) + (3.14)(3²) = 75.36 in²

Answer:

any how there are three consecutive positive numbers

Answer:

93.5

Step-by-step explanation:

Answer:

13/3

OR

4.33333

Step-by-step explanation:

For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.

To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction

2x^2 - 3 -15

2x^2 - 18

2* (x^2 - 9)

2 * (x + 3) (x - 3)

this is perfect because this cancels out the x - 3 on the bottom

so the function become f(x) = 2 * (x + 3)

When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12

Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.

k*(3) - 1 = 12

k*3 = 13

k = 13/3

k = 4.33

Answer:

x+12

Step-by-step explanation:

I belive some part of this may be missing. I feel like their should be more info maybe on how much you have to buy but this in general is technically correct. x is the amount you must spend to get free delivery + 12 bucks

Answer:

cubic

Step-by-step explanation:

you can eliminate all of the other ones

Answer:

cubic

Step-by-step explanation:

quadratic = makes a parabola - U shaped

linear = makes a straight line

cubic = makes a shape just like the one in the picture

square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side

Answer:

2

Step-by-step explanation:

[tex]Lim_{x\to 8} f(x), \: f(x) \begin{cases} x + 10 \: \: \: \: x < 8 \\ \\ 10 - x \: \: \: \: x \geqslant 8\end{cases}[/tex]

[tex] Lim_{x\to 8} f(x) = Lim_{x\to 8} 10 - x \\ \\ = 10 - 8 \\ \\ = 2[/tex]

Answer:

34 units

Step-by-step explanation:

I decided that one side is 61 units and the other is 1 unit, since that would make the area 61 units.

Then I multiplied 61 by 3/4, which equals a new length of 45.75 units, and I also multiplied 1 by 3/4, which equals a new length of 0.75 units.

Finally, I solve for the area of the rectangle:

45.75 x 0.75 ≈ 34 units (rounded to the nearest whole number)

[tex]a_{1}=2\\a_{n}=6a_{n-1}[/tex]

The recursive formula is  aₙ = 2(6)ⁿ⁻¹.

A recursive formula for a geometric sequence with common ratio r is given by aₙ = a₁ rⁿ⁻¹ for n≥2.

Given: 2, 12, 72, 432,..

r= 12/2= 6

a= 2

The recursive  formula for the nth term,

aₙ = a₁ rⁿ⁻¹

aₙ = 2(6)ⁿ⁻¹

Hence, the recursive formula is aₙ = 2(6)ⁿ⁻¹

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Answer:

y = 3/4x + 7

Step-by-step explanation:

8x + 6y = 12

6y = -8x + 12

y = -4/3x + 2

Perpendicular slope: 3/4

y - y1 = m(x - x1)

y + 2 = 3/4(x + 12)

y + 2 = 3/4x + 9

y = 3/4x + 7