Gary, the technology coordinator of a high school, is planning to

purchase one memory stick for each of the teachers. There are 86

teachers at the school. The English teachers requested memory sticks

that have a capacity of 32 gigabytes. Gary determines that $600 is the

maximum amount that can be spent for all of the memory sticks. Gary

finds the following prices for the purchases from Computer City.

Option

Memory Stick

Capacity

Cost Each

A

16 gigabyte

$5. 99

B

32 gigabyte

$9. 99

Free shipping for any order $35 or more.

1

If a represents the number of 16-gigabyte memory sticks

and b represents the number of 32-gigabyte memory sticks,

which equation represents the number of each kind of

memory stick that should be purchased for the teachers?

A a + b = 86

C 16a + 32b = 86

B a + b = 600

D 16a + 32b = 600

Answer:

The picture isnt popping up fix it and ill answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

change in time: 2

change in distance: 5.5

2:5.5

Answer: f= [tex]x^2+4x+8+(7/3x-4)[/tex]

Step-by-step explanation:

Careful with simplifying every step.

Answer: [tex]\frac{3}{5}[/tex] of the judges were not wearing their powdered wigs.

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] out of the whole [tex]\frac{5}{5}[/tex] were wearing a wig. So subtract [tex]\frac{2}{5}[/tex] from [tex]\frac{5}{5}[/tex] to see the fraction that wasn't wearing a wig.

[tex]\frac{5}{5} -\frac{2}{5} =\frac{3}{5}[/tex]

Answer:

y=x^2-5x+4 i am not sure but a im try

Step-by-step explanation:

The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.

You use the Pythagorean Theorem when you know the lengths of two sides of a right triangle and you want to figure out the length of the third side.

In Rectangle , 16 copies of ABCD fit inside A'B'C'D'.

What is a rectangle, exactly?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.

                                       The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

DA = 3

D'A' = 12

Scale factor DA/D'A' = 3/12 = 1/4

The scale factor = 1/4

The scale factor = 1/4

area ratio = 1/16

16 copies of ABCD fit inside A'B'C'D'.

Learn more about rectangle

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Answer:

4/3 = slope

Step-by-step explanation:

Answer:

B. 8

Step-by-step explanation:

Explanation: 2.3x3.6 is 8.28, and we round down to 8 because 8.28 is closer to 8 than 9.

Answer:

Step-by-step explanation:

d or b

Answer:

40 fluid ounces of drink A must be added to 80 oz of drink B to have a drink whose final proportion of water is 30%

Step-by-step explanation:

35% of 80 oz of drink B = 0.35(80) = 28 oz

0.20(A) + 0.35(80) = 0.30(A + 80)

0.20A + 28 = 0.30A + 24

Answer:

the slope = 0

Step-by-step explanation:

we notice that the points (13, -2) and (3, -2) have the same y-coordinate -2

Then

the slope = 0

Options A and B situation does NOT yield variability that is A. How many days are in a leap year? B. How many siblings does each person in your class have?

Statistics deals with the study of variability. The statement is said to be statistical if there would be variability in that data.

A. How many days are in a leap year?

This situation does NOT yield variability because the question is answered by a single value. It does not need any collecting data that vary.

B. How many siblings does each person in your class have?

This situation does NOT yield variability because the question is answered by a single value. It does not need any collecting data that vary.

C. How many miles do you travel in your car each day?

This situation yield variability because the question is answered by collecting data.

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Answer:200 in ^3

Step-by-step explanation:

Answer:

d = 4

Step-by-step explanation:

If (x -2) is a factor of polynomial p(x), then the remainder will be zero.

⇒ p(2) = 0

[tex]\sf \bf 2^4-d*2^3 + 8*2^2 -10*2 + 4 = 0\\\\[/tex]

       16 - 8d + 8*4 - 20 + 4 = 0

        16 - 8d + 32 - 20 + 4 = 0

                   -8d  +  32       = 0

                              -8d      = - 32

                                      d = -32/(-8)

[tex]\boxed{d = 4}[/tex]

The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5

When you raise a number with an exponent, there comes a result.

Lets say you get [tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)[/tex]

Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.

Log with base 10 is written as [tex]\log(x)[/tex] simply.

The equation given is:

[tex]\log_3(x+5) = 2[/tex]

By using the definition of log, which says [tex]a^b = c \leftrightarrow \log_a(c) = b[/tex], we get:

[tex](x+5) = 2^3[/tex] or [tex]2^3 = x+5[/tex]

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: [tex]2^3 = x+5[/tex]

(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: [tex]2^3 = x+5[/tex]

Learn more about logarithm here:

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Answer:

A: y= 3x-4

B: y= -2/4x+3

Step-by-step explanation:

slope intercept form: y=mx+b

m = slope

slope = rise/run

b = y-intercept

Answer:

A: y = 3x - 4

B: y = -1/2x +3

Step-by-step explanation:

First, lets find the slope of line B. We need to find two coordinates on the line that coincide with points on the grid. We see that (2, 2) and (4, 1) are two points that match the criteria, so we can use both points. You can use any two points, I just randomly chose these two. Slope is nothing but the Y coordinate of the first point  subtracted from the Y coordinate of the second point. We do 2 - 4 and get -2. Next, we do the same thing but with the X coordinates to get 2 - 1, which is 1. We do 1 over -2 to get negative 1/2 for our slope. The last variable in the equation is just where the line hits the Y axis, which is 3. So, the final equation is y = -1/2x + 3. Rinse and repeat for the next question.

Answer:

I guess that X measures 50° because X and 50 are vertically opposite angles...

Answer:

Jim=S-3

Steve=M-4

U figure out the last part.           I helped

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Equating Matt's Speed in both cases

Now, taking Equation 1 :

Now, taking Equation 2 :

Let the price be x

Price is $17 now

Scientific Notation: 2.29 × [tex]10^6[/tex]

Standard Form: 2288000

I hope this helps you

:)

Answer:

About 12 more visitors ( 12.08 to be exact)

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

════════════════════

1.

[tex]y = {2x}^{2} - 3[/tex]

[tex] {2x}^{2} - 3 = y[/tex]

[tex] {2x}^{2} = y + 3[/tex]

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

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

[tex]x = \sqrt \frac{2y + 6}{2}[/tex]

───────────────────

2.

[tex]y = 3x - 1[/tex]

[tex]3x - 1 = y[/tex]

[tex]3x = y + 1[/tex]

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

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

═══════════════════

Explanation:

#Carry on learning

Answer:

$4.70

Step-by-step explanation:

First, you need to divide 18.80 by 8.

18.80/8 = 2.35

2.35 is the unit price for one (1) pound bag of flour,

Multiply by 2 to find the price of a two (2) pound bag.

2.35 * 2 = 4.7

$4.70 is the price of a two-pound bag.

hope this helps :)

the value of x= 3

and the value of y=5

Answer:

Step-by-step explanation:

       [tex]\begin{cases}6x=2y+8&\\ 4x+5y+10=47&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 12x+15y+30=141&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ (4y+16)+15y=111&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 19y+16=111&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ 19y=95&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=4y+16&\\ y=\frac{95}{19}=5 &\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}12x=20+16=36&\\ y=5 &\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}x=3&\\ y=5 &\end{cases}[/tex]

428.5oz (total amount she had to put out)÷ 5(amount of bowls she wanted to use) = 85.7oz

Answer:

6

Step-by-step explanation:

5.7 is already immediately  6 because if a number after the whole number is 5 or more you round up.

6

Step-by-step explanation:

Answer:

3x + 5y = 9

Explanation:

A linear function is represented by the equation: y = mx + b

In option C:

3x + 5y = 9       is a linear equation as it has slope and y-intercept

Linear means degree is 1

#A

Not linear

#B

Degree is 5 not linear

#C

Linear

#D

Degree is 2 hence quadratic