The following table shows Lane and Rory's scores on the first 5 math quizzes this semester. How many points higher is Rory's average than Lane's average?

Answer:

$1.33

Step-by-step explanation:

32-20 = 12

12/9 = $1.33

a = 18

d = 16 - 18 = - 2

an = a + (n - 1) × d

an = 18 + (n - 1) × (-2)

an = 18 - 2n + 2

an = -2n + 20

The left pic :

[tex]x = 46 \times \cos(70°) [/tex]

[tex]x = 46 \times 0.342[/tex]

[tex]x = 15.732[/tex]

_____________________________________________

The right pic :

[tex] \tan(18°) = \frac{15}{x} \\ [/tex]

[tex]0.325 = \frac{15}{x} \\ [/tex]

Thus :

[tex]x = \frac{15}{0.325} \\ [/tex]

[tex]x = 46.1538[/tex]

There u go ...

Have a great day ❤

Answer:

4, 2, 1, 1

Step-by-step explanation:

Answer 12

Step-by-step explanation:

A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has identical packaging, the selection will be random. What is the probability that (a) all four units are good, (b) exactly two units are good, and (c) at least two units are good?

 I hope that helped?

Answer:

486 feet will reached after 5.25 seconds, when rounded to nearest tenth would be 5.3

Step-by-step explanation:

Answer:

all the factors of 27 is 1, 3 ,9,and 27

Answer:

Step-by-step explanation:

the answer  is . (5xy² + 3x² - 7) + (3x²y² - xy² + 3y² + 4). hope this helps

Answer:

15h+10n

Step-by-step explanation:

You forgot to list the equations.

10 * n = 10n = $ paid for amount of televisions sold

15 * h = 15h = $ paid for hours worked

15h + 10n = Total amount paid

The answer for n television sold and h hours working is 15h  +10n.

Expression:

An expression is an algebraic or mathematical statement in which some variable and constant are arranges with any algebraic operations

Given that

Cliff earned for one hour = $15

Therefore for h hours = 15h

Also he earned additional for each television sold = $10

Therefore for n television sold = 10n

Here 15h and 10n are two algebraic numbers because there is constants 15 and 10 and variables h and n are multiplied simultaneously.

Therefore the total earning is the addition of both

15h + 10n

The final answer is 15h + 10n

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Answer:

Company A is cheaper than Company B when x > 40  miles

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the y-axis is getting smaller by 2 so its -2 and the x-axis is getting bigger by 1 so its -2 times 1 which is -2 but then 0=3 so the equation would be y = -2 + 3 :)

Answer:

The question is very nice.

,Iike it.

9514 1404 393

Answer:

  y = 2x -5

Step-by-step explanation:

The parallel line will differ only in the value of c. That can be found using the given point.

  y = mx +c

  c = y -mx . . . . . . subtract mx to solve for c

  c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)

The equation of the parallel line is ...

  y = 2x -5

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You were on the right track, but 3-2 = 1, so the exponent of (x-4) is 1.

Answer:

C and B

Step-by-step explanation:

(6)

[tex]\frac{(x-4)^3(3x+6)}{(x-4)^2}[/tex]

Cancel (x - 4)³ on numerator with (x - 4)² on denominator

leaving (x - 4) on numerator and 1 on denominator

= (x - 4)(3x + 6) → C

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Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

4a² × 7[tex]a^{\frac{1}{2} }[/tex]

= 4 × 7 × a² × [tex]a^{\frac{1}{2} }[/tex]

= 28 × [tex]a^{\frac{4}{2} }[/tex] × [tex]a^{\frac{1}{2} }[/tex]

= 28 × [tex]a^{(\frac{4}{2}+\frac{1}{2}) }[/tex]

= 28[tex]a^{\frac{5}{2} }[/tex] → B

Answer:

70/17 hours or 4 2/17 hours

Step-by-step explanation:

The equation we use is 1/7 + 1/10 = 1/x, x being the time it took them together to build. x works out to 70/17 hours

Leah and her apprentice can build the wall together in 4 2/17 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Hours required by Leah to build a wall = 7 hours

So , Leah builds ( 1/7 )th of the wall per hour

Hours required by apprentice to build a wall = 10 hours

So , Apprentice builds ( 1/10 )th of the wall per hour

When they are both building the wall together , they build
( 1/7 )th + ( 1/10 )th of the wall together per hour = 1 / x

Therefore , the equation will be

1/x = 1/7 + 1/10

1/x = 17 / 70

Taking reciprocal on both sides , we get

x = 70/17

x = 4 2/17 hours  

Hence , Leah and her apprentice can build a wall together in 4 2/17 hours

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Answer:

i will clear you.

Step-by-step explanation:

Given:-

Marbels we have =30

when we add marbels =5

Now,

or,30+5

Answer:

I don't know

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Ok lemme actually format this set

[tex]$C = \left\{\frac 1x : x \in \mathbb{Z}\ \text{and}\ 4 \leq x \leq 9\right\}$[/tex]

Well the only integers from 4 to 9 are 4, 5, 6, 7, 8, 9. So this set is just

[tex]$C = \left\{\frac 14, \frac 15, \frac 16, \frac 17, \frac 18, \frac 19\right\}$[/tex]

which has cardinality [tex]\boxed{6}[/tex] .

Answer:

Step-by-step explanation:

ANSWER :

0 / 15 = 0 + 0/15 = 0

Answer:

Fertilizer A = 20, Fertilizer B = 56

Step-by-step explanation:

Step 1: Set up the equations

Nitrogen: 8x + 5y ≥ 440

Phosphorous: 2x + 5y ≥ 260

Potassium: 4x + 5y ≥ 360

Step 2: Find the vertices

It is easiest to graph the equations to find the vertices. (see attachment).  You can also solve each system of equations to find the intersected points.

The following satisfy the "greater than or equal to" requirement:

(0, 88) → y-intercept of Nitrogen equation

(20, 56) → intersection of Nitrogen and Potassium equations

(50, 32) → intersection of Phosphorous and Potassium

(130, 0) → x-intercept of Potassium

Step 3: Use vertices in cost function C(x) to find the minimum

C(x) = $30x + $20y

(0, 88): $30(0) + $20(88) = $1760

(20, 56): $30(20) + $20(56) = $1720    ← This is the minimum!

(50, 32): $30(50) + $20(32) = $2140

(130, 0): $30(130) + $20(0) = $3900

The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.  

Answer:

yamete kudesai

Step-by-step explanation:

Answer:

I believe it's 2/4.

Step-by-step explanation:

Let me know if it's incorrect.

Answer:

15227707.5

More info

Step-by-step explanation:

45x676787 the divide it by 2

Answer:

61 + 8 is 69 and that is a funny number

Answer: if i get this correct mark me the brainlist promise

Step-by-step explanation:6+x=12To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

Example

Calculate the following expression for x=3 and z=2

6z+4x=?

Solution: Replace x with 3 and z with 2 to evaluate the expression.

6z+4x=?

6⋅2+4⋅3=?

12+12=24

make two pair of line segment of PQ andQP and construct use of a scale and the parallel line give the point name

Answer:

To find the area of a square with the scale factor of 3, you multiply the side lengths by 3, so (3*L)*(3*W)= Area of your square.

Step-by-step explanation: I hope that this helps, ask questions in the comments below.(if you have any).

The area of the imagined square will be 90 units² by increased with a scale factor of 3.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

As per the imagined square with dimensions of 10 units.

Applied the scale factor 3 in the length of the square(since it has only one dimension).

10 x 3 = 30 units.

Thus, each side of the square will be 30 units in length.

Hence "By adding a scale factor of 3, the envisioned square's area will expand to 90 units²".

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Answer:

line segment BC=line segment XY

Step-by-step explanation:

The last choice :)

Answer:

25 text messages

Step-by-step explanation:

First of all you need to find how much money was added to his phone bill. 31.92-27.42 would equal 4.5. Then you would divide that number by 0.18 to find out the total text messages, which is 25