Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee. Which inequalities can represent this situation if m is the number of songs he can buy? Select two options. 1 + 1.5 m less-than-or-equal-to 25 1 + 1.5 m greater-than 25 25 greater-than 1 + 1.5 m 1 + 1.5 m less-than 25 25 greater-than-or-equal-to 1 + 1.5 m

Answer: -3 and 7

Step-by-step explanation:

x - 7

Add 7 to get 0

x - 7 ( + 7) = 0

x + 3

Subtract 3 to get 0

x + 3 ( - 3) = 0

Answer:

  (a)  5n -300 = 1500

Step-by-step explanation:

Profit is the difference between revenue and cost.

The revenue the fundraiser will generate apparently comes only from ticket sales. At $5 each, the sale of n tickets will result in revenue of 5n dollars.

The cost the team must pay will be the sum of the cost of the DJ and the cost of the decorations. The team's total cost will be ...

  200 +100 = 300

The profit is the difference between revenue and cost. The team wants that difference to be $1500, so an appropriate equation for the number of tickets to sell is ...

  revenue - cost = profit

  5n -300 = 1500

Answer:

5n - 300 = 1,500

Step-by-step explanation:

just got it right on edge

Answer:

[tex]x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12[/tex]

Step-by-step explanation:

Let's re-write the equations in order to get the variables as separated in independent terms as possible \:

First equation:

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

Second equation:

[tex]\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}[/tex]

Third equation:

[tex]\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}[/tex]

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

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

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

[tex]\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}[/tex]

Now we use this value for "x" back in equation 1 to solve for "y":

[tex]1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}[/tex]

And finally we solve for the third unknown "z":

[tex]\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12[/tex]

Answer:

7/8 of an hour

Step-by-step explanation:

Answer:

duration of movie = 3 hours 30 minutes

= 180 + 30

= 210 minutes

Lily turned of 1/4 of the way

time she spend watching

= 1/4 × 210

= 52.5 minutes

Answer:

They both intersect eachother

Step-by-step explanation:

Answer:

y = 2/3, y = 38/3

Step-by-step explanation:

20 -3y = 18

y = 2/3

20 - 3y = -18

y = 38/3

Answer:

(17,0) and (-2,19)

Step-by-step explanation:

First, find the gradient of AB, which is 1. As CD is perpendicular, its gradient will be -1. The equation of CD will be y=17-x. The x intercept is where y=0. So, that will give you x=17. When x=-2, y=19. It proves the equation right.

Answer:

hope its helpful to uh

Answer:

The cube root of 1331 is 11.

Step-by-step explanation:

11 times 11 times 11 = 1331

Answer:

11

Step-by-step explanation:

=> [tex]\sqrt[3]{1331}[/tex]

We'll prime factorize it!

=> [tex]\sqrt[3]{11*11*11}[/tex]

=> [tex]\sqrt[3]{11^3}[/tex]

Since, [tex]\sqrt[3]{} = ^{1/3}[/tex]

=> [tex]11^{3*1/3}[/tex]

=> [tex]11^{3/3}[/tex]

=> [tex]11^1[/tex]

=> 11

Answer:

x = - 1

Step-by-step explanation:

The x- coordinate of the vertex is mid way between the roots of the quadratic.

The difference between x- coordinate of vertex and the given root is

difference = | - 3 - (- 5) | = | - 3 + 5 | = | 2 | = 2

Thus the other root is 2 units to the right of x = - 3, that is

x = - 3 + 2 = - 1

The other root is x = - 1

Answer:

50 pounds

Step-by-step explanation:

This situation can be expressed as:

11x-30=5x+30

6x-30=30

6x=60

x=10

5x=50

Paul originally had 50 pounds. Hope this helps!

Answer:

If a is negative or zero  there are no real solutions

Step-by-step explanation:

y=ax^2-8

Set equal to zero to find the solution

0 =ax^2-8

Add 8 to each side

8 = ax^2

Divide by a  a cannot be zero or we cannot divide by it

8/a = x^2

Take the square root of each side

sqrt(8/a) = sqrt(x^2)

We need 8/a to be positive for it to have real solutions

That means a has to be positive

If a is negative or zero  there are no real solutions

Answer:

b = 40

Step-by-step explanation:

Let b= brownies made

b* 2/5 = brownies left over

b*2/5 = 16

Multiply each side by 5/2

b * 2/5 *5/2 = 16*5/2

b = 40

Answer:

40

Step-by-step explanation:

.4/.4 is 1 so 16/.4 is 40

Answer: 2.7

Step-by-step explanation:

Answer:

From greatest to least

One and five-sixth rounded to 2

One and StartFraction 7 over 29 rounded to 1

0.16 rounded to 0

Step-by-step explanation:

1+7/29=29+7/29

=36/29

=1.24

Approximately

=1

1+5/6=6+5/6

=11/6

=1.83

Approximately

=2

0.16

Approximately =0

From greatest to least

One and five-sixth rounded to 2

One and StartFraction 7 over 29 rounded to 1

0.16 rounded to 0

Answer:

[tex]-12<p<12[/tex]

Step-by-step explanation:

[tex]\left|p\right|<12[/tex]

The interval notation is (-12, 12).

[tex]-12<p<12[/tex]

Answer:

D

Step-by-step explanation:

The y-coordinate will be the average of 5 and -2 which is 3/2. This eliminates options A and B. C doesn't make sense because the x-coordinate (which is -7) of the midpoint can't be larger or smaller than the x-coordinates of the endpoints, so that means that the answer is D.

Answer:

16

Step-by-step explanation:

Answer:

The correct statement is (D).

Step-by-step explanation:

Compute the probabilities for the data provided:

Probability students preferring sharks:

[tex]P(\text{Students preferring sharks})=\frac{90}{95}=0.947[/tex]

Probability teachers preferring sharks:

[tex]P(\text{Teachers preferring sharks})=\frac{5}{95}=0.053[/tex]

Probability students preferring moose:

[tex]P(\text{Students preferring moose})=\frac{10}{20}=0.50[/tex]

Probability teachers preferring moose:

[tex]P(\text{Teachers preferring moose})=\frac{10}{20}=0.50[/tex]

From the above computations it can be concluded that:

Thus, the correct statement is (D).

Answer: Just did it and the answer is “Shark”...

Step-by-step explanation:

Answer :

T.S.A = 200 cm²

Answer: 1,468.5

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the price of each share of stock ($19.58) by the number of shares of stock bought (75 ).

Mathematically speaking:

Price per share x number of shares = 19.58 x 75 = $1,468.5  

His purchase price was 1,468.5

Feel free to ask for more if needed or if you did not understand something.  

Answer:

94916624

Step-by-step explanation:

Your equation could be written several different ways.

Mine was: [tex]2/5(5)(83^4)-19+1[/tex]

If you written it to [tex]\frac{2}{(5)(83^4)} -19 + 1[/tex], it would be -18

Answer:

2n and 2n+2 are two consecutive even numbers, then the difference of their squares is:

As we see it is multiple of 4.

Answer:

see explanation

Step-by-step explanation:

∠ ABY and ∠ CBY are adjacent and supplementary, thus

x + 25 + 2x + 50 = 180, that is

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Thus

∠ CBY = 2x + 50 = 2(35) + 50 = 70 + 50 = 120°

∠ BEF = ∠ CBY ( corresponding angles )

∠ BEF = 120°

Thus AC and DF are parallel lines

Answer:

  D.  (-2, -7)

Step-by-step explanation:

I find the easiest way to locate the vertex or x-intercepts is to use a graphing calculator (see below). The vertex is the extreme point on the graph. For this function, it is (-2, -7), choice D.

__

The axis of symmetry of the graph is the vertical line such that every point on the left is a mirror image of the corresponding point on the right. Here, that axis of symmetry is x=-2. (It is shown as a dashed orange line on the graph.)

The location of the axis of symmetry for quadratic ...

  y = ax^2 +bx +c

is x = -b/(2a).

For your function,

  y = 2x^2 +8x +1

the coefficients are a = 2, b = 8, c = 1. This means the axis of symmetry is ...

  x = -b/(2a) = -8/(2(2)) = -2

The vertical line at x=-2 is the axis of symmetry.

The vertex is on the axis of symmetry. Its y-value is found by evaluating the function for x = -2 (the x-value of the axis of symmetry).

  y = 2·(-2)^2 +8(-2) +1 = 2·4 -8·2 +1 = 8 -16 +1

  y = -7 . . . . at the vertex

So, the (x, y) coordinates of the vertex are (-2, -7).

Answer:

D. (-2, -7)

Step-by-step explanation:

y= 2x²+8x+1

The vertex is max or min of the graph, for the given function it is

x = -b/2a for a>0

so x= - 8/4= -2

for the point of x= -2

y= 2*4 - 16 + 1 = - 7

So vertex is  (-2, -7), choice D.

Answer:

a) mean=1,8 b) mean=3.6 c) mean=7.2

Step-by-step explanation:

a) 2.4 +1.6+ 3.2+ 0.3+ 1.5=9

9/5=1.8  

b) 4.8+3.2+6.4+0.6+3=18

18/5=3.6

c)9.6+6.4+12.8+1.2+6=36

36/5=7.2

Answer:mean is 1.8

Step-by-step explanation:

Add all up divide by 5

Answer:

The angle [tex]\theta[/tex] measures approximately [tex]28.81^o[/tex]

Step-by-step explanation:

Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Then, for our case we get a starting equation that reads:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}[/tex]

and for which we need to solve for [tex]\theta[/tex]. Then we use the arctangent function to get the final answer:

[tex]tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o[/tex]

Answer:

√27

Step-by-step explanation:

3 × √3

The square of 3 is 9.

√9 × √3

√(9 × 3)

Multiply.

√27

3√3 as a whole radical is √27.