Lisa got a $50 gift card to an online music store. She uses the gift card to buy an album for $10. She also wants to use the gift card to buy some individual songs. Each song costs $1.50.

Which of these inequalities describes the situation for the total amount that Lisa can spend, where n is the number of songs Lisa wants to buy?

Group of answer choices

10 - 1.50n ≤ 50

10 + 1.50n ≥ 50

10 - 1.50n ≥ 50

10 + 1.50n ≤ 50

The measure of the reference angle for a -287° angle is 17°.

To measure of the reference angle for a -287° angle

1. Determine the quadrant: First, we need to identify the quadrant in which the angle -287° lies.

  - In the standard coordinate plane, angles between 0° and 90° are in the first quadrant, between 90° and 180° are in the second quadrant, between 180° and 270° are in the third quadrant, and between 270° and 360° are in the fourth quadrant.

  - Since -287° falls in the third quadrant, we know that the reference angle will be found in the first quadrant.

2. Find the corresponding acute angle: To find the reference angle, we need to find the acute angle that has the same trigonometric values as the given angle.

  - To do this, we can add 360° to the given angle (-287° + 360° = 73°). This gives us an equivalent positive angle in the same position.

3. Determine the reference angle: Now that we have the positive equivalent angle (73°), we can find the reference angle by subtracting it from 90° (90° - 73° = 17°).

Therefore, the measure of the reference angle for a -287° angle is 17°.

For more Questions on reference angle

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Answer:

Step-by-step explanation:

Mean: 41+39+48+52+41+48+36+41+37+35/10

=41.8

Mode:41

Median:41

Answer:

z=25

Step-by-step explanation:

(3+5)^2+[8-11]+z=4(z-2)

(8)^2 +3+z=4z-8

square 8

add 8 to both sides

mines z from both sides

64+3+8=3z

75=3z

25=z

9514 1404 393

Answer:

  False

Step-by-step explanation:

Corresponding angles in similar triangles are congruent. The similarity statement tells you angle B corresponds to angle Y, so those angles are congruent. The sines of congruent angles are identical.

  sin(B) > sin(Y) . . . . FALSE

  sin(B) = sin(Y) . . . . true

Answer:

The answer is true.

Step-by-step explanation:

Answer:

Are you in Mr. Burg...'s class?  I have no clue what the answer is though.

Step-by-step explanation:

Question:

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]

              [tex]75t + 612.5,\ 3.5 < t \le 6[/tex]

Which times and distances are represented by the function?  

(a)The starting distance, at 0 hours, is 300 miles.

(b) At 2 hours, the traveler is 725 miles from home.

(c) At 2.5 hours, the traveler is 875 miles from home.

(d) At 3 hours, the distance is constant, at 880 miles.

(e) The total distance from home after 6 hours is 1,062.5 miles.

Answer:

Step-by-step explanation:

Given

[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]

              [tex]75t + 612.5,\ 3.5 < t \le 6[/tex]

Required

Select the right options

(a) t = 0 hours, d(t) = 300 miles.

To check this, we make use of:

[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]

So, we have:

[tex]D(0) = 300*0 + 125[/tex]

[tex]D(0) = 0+125[/tex]

[tex]D(0) = 125[/tex]

(a) is incorrect

(b) t =2 hours, d(t) = 725 miles

To check this, we make use of:

[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]

[tex]D(2) = 300 *2 + 125[/tex]

[tex]D(2) = 600 + 125[/tex]

[tex]D(2) = 725[/tex]

(b) is correct

(c) t = 2.5 hours, d(t) = 875 miles

To check this, we make use of:

[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]

So, we have:

[tex]D(2.5) = 800[/tex]

(c) is incorrect

(d) t = 3 hours, d(t) = 880 miles constant

To check this, we make use of:

[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]

So, we have:

[tex]D(3) = 800[/tex]

(d) is correct

(e) t = 6 hours d = 1,062.5 miles.

To check this, we make use of:

[tex]D(t) =75t + 612.5,\ 3.5 < t \le 6[/tex]

So, we have:

[tex]D(6) =75*6 + 612.5[/tex]

[tex]D(6) =450 + 612.5[/tex]

[tex]D(6) =1062.5[/tex]

(e) is correct

Answer:

Step-by-step explanation:

diameter = 68ft

Radius = 34ft (68/2)

Circumference =213.6283 (68 x pi)

Answer:

-1.4, -.7 .003, 3%(.03), .3, .66(2/3) .85 (7/8) 0.875, 100/50 (2)

Step-by-step explanation:

Answer:

Where's the rest of the question?

Given:

Length of the building  = 120 feet

Width of the building = 40 feet

Length of the model = 6 feet

To find:

Width of the model.

Solution:

The scale model similar to the original figure and the corresponding sides of the similar figures are proportional.

Let x be the width of the building.

[tex]\dfrac{\text{Length of the building}}{\text{Length of the model}}=\dfrac{\text{Width of the building}}{\text{Width of the model}}[/tex]

[tex]\dfrac{120}{6}=\dfrac{40}{x}[/tex]

[tex]20=\dfrac{40}{x}[/tex]

[tex]x=\dfrac{40}{20}[/tex]

[tex]x=2[/tex]

Therefore, the width of the model is 2 feet.

Question:

What is the surface area of the triangular prism?

Answer:

Step-by-step explanation:

8 x 6 x 2.5 is equal to the surface area

120

Answer:

basically multiply the height and the base (area), using the two numbers shown. Just add for perimeter. Just use a calculator, no one really cares about doing it them selves

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Thank you hope you have a nice day and stay safe

:)

Answer:

$200.65

Step-by-step explanation:

If they bought it for 147 then marked it up 75% you would do

$147+75%  = 257.25

THEN they mark down

257.25 - 22% = $200.255 which would be

$200.25 orrr $200.26

Answer:18

Step-by-step explanation:trust

Answer:

multiple answers below

Step-by-step explanation:

a = 8.6

b = 4.5

c = 9.71

formula for area :: a = b*h / 2

8.6 * 4.5 = 38.7 / 2 = 19.35

perimeter = a+b+c= 8.6 + 4.5 + 9.71 = 22.81

type = right angle ??

Answer:

[tex]m(c(a)) = 4.8875a[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]c(a) = 4.25a[/tex] --- Cost of marble countertops

[tex]m(c) = 1.15c[/tex] --- Cost of retail markup

Required

The cost of marked up price

This implies that we calculate m(c(a))

We have:

[tex]c(a) = 4.25a[/tex]

[tex]m(c) = 1.15c[/tex]

[tex]m(c) = 1.15c[/tex] can be written as:

[tex]m(c(a)) = 1.15*c(a)[/tex]

Substitute: [tex]c(a) = 4.25a[/tex]

[tex]m(c(a)) = 1.15*4.25a[/tex]

[tex]m(c(a)) = 4.8875a[/tex]

Hence, the cost of marked up price is: [tex]m(c(a)) = 4.8875a[/tex]

Answer:

2

Step-by-step explanation:

the slope of the given line is 2

parallel lines have the same slope so the answer is 2

Answer:

V = 240 cm^3

Step-by-step explanation:

The volume formula for a cone or triangular prism such as this one is

V = (1/3)(base area)(height), which here is:

V = (1/3)(80 cm^2)(9 cm), or V = 240 cm^3

Answer:

They are similar however i don't see where the a is at. If you see G would go to S which means H would go to R. I think the answer is B

Step-by-step explanation:

Answer: 9006 in word form is nine thousand six ,

I hope you find this helpful.

Answer: 9,006 in word-form is nine thousand six.

Explanation: To write a number in word form, simply type the number in word form like I did above. If a digit doesn't have a zero, don't type zero, just type the number like I did above. Notice how I didn't include the word "zero" in my answer.

Let me know of any questions or concerns.

Answer:

$209,573.00

Step-by-step explanation:

when rounding to a place, you only need to look at the numbers one place beyond the place you are rounding to. For example, if you want to round 0.878 to the nearest tenth, you only need to look at 0.87, since both 0.87 and 0.878 round to 0.9. In this case, you are rounding to the nearest hundredth because one cent represents one hundredth of a dollar. You only need to look at 209572.999. Since the last digit is 9, which is greater than 5, you round up to 209573.00.

hope this helps please lmk if its wrong :)

Answer:

$7

Step-by-step explanation:

Let the price of a box of popcorn = b and the price of a program = p

we can make 2 equations:

5b+3p = 41 and 3b+2p=26

We can use the subtraction method be able to eliminate one of the variables and isolate the other one - to do it I will equalize the 'b' in both equations by multiplying by 5 and 3 respectively

5(3b+2p=26)

-3(5b+3p = 41)

15b+10p=130

-(15b+9p=123)

p=7 (therefore the answer is 7$)

Answer:

a = 5120

b = 1.25

Step-by-step explanation:

Let the exponential function representing the given table is,

f(x) = [tex]a(b)^x[/tex]

Here, f(x) = Number of views

x = Number of weeks

We choose two points from the given table and satisfy the equation of the function.

Let the points are (0, 5120) and (1, 6400)

For a point (0, 5120),

f(0) = a(b)⁰ = 5120

a = 5120

Now for the second point (1, 6400),

6400 = 5120(b)¹

b = [tex]\frac{6400}{5120}[/tex]

b = 1.25

Therefore, a = 5120 and b = 1.25 are the values.

Answer:

f(x)=8(0.5)^x

Step-by-step explanation:

Answer:

A. 1 unit

Step-by-step explanation:

A cube has the same dimensions on each side, and the unit is 1 unit cube, none of the other options match.

You can easily rule out, B & D. That leaves you with A & C, and A makes the most sense, since 1 cubic unit would be the volume, and this question is only asking for the side length.

Good luck, hopefully, this helped!

Answer:

No if you see this sign means (<) that the number in like this1<2 that 2 is greater than 1 so it would be no because it would be this way 9>7 not 9<7

Step-by-step explanation:

Answer:

The answer is 37.699111848 units or 0 units, pick

Step-by-step explanation:

2πr (θ/360)

Answer:

The correct answer is B: On the y-axis, 1 tick mark represents 0.4 unit.