A grocery store offers a 15% discount on your entire purchase when you spend more than $60. You have $85 to spend on groceries and the cost of the groceries in your cart is currently $60. The inequality 0.85(a+60)≤85 represents the cost a (in dollars) of groceries that you can add to your cart. Graph the solution of the inequality.

Answer:

the first answer

Step-by-step explanation:

In SOHCAHTOA, we are using soh

sin(23)=2500/x

Answer:

graph A

Step-by-step explanation:

it goes through -6 and -3

Answer

A and D

Step-by-step explanation:

Since the 7 squared is 49 and 8 squared is 64 both the square root of 50 and 60 will be between 7 and 8.

Answer:

[tex](0,20),(1,16),(2,12)[/tex]

Step-by-step explanation:

[tex]We\ are\ provided\ with\ the\ equation:\\4x+y=20\\In\ order,\ to\ find\ solutions\ to\ a\ linear\ equation\ in\ two\ variables,\ we\\ usually\ substitute\ a\ value\ to\ either\ the\ abscissa or\ the\ ordinate\ to\ get\\ the\ corresponding\ ordinate\ or\ the\ abscissa.\\Hence,\\Here,[/tex]

[tex]Let's\ plug\ in\ simpler\ value's\ of\ 0,1,2\ as\ the\ x-co-ordinate\ to\ obtain\ it's\\ y-coordinate.\\Hence,\\Coming\ back\ to\ our\ equation:4x+y=20\\Substituting\ x=0,\\4*(0)+y=20\\y=20\\Hence,\\x=0,y=20\ or\ (0,20)\ is\ a\ solution\ of\ the\ equation.[/tex]

[tex]Substituting\ x=1,\\4*(1)+y=20\\4+y=20\\y=20-4=16\\Hence,\\x=1,y=16\ or\ (1,16)\ is\ also\ a\ solution\ of\ the\ equation.[/tex]

[tex]Substituting\ x=2,\\4*(2)+y=20\\8+y=20\\y=20-8=12\\ Hence,\\x=2,y=12\ or\ (2,12)\ is\ a\ solution\ of\ the\ equation\ too.[/tex]

[tex]Hence,\ collecting\ all\ the\ solutions\ of\ the\ equations:\\(0,20),(1,16),(2,12)\ are\ all\ solutions\ of\ the\ given\ equation.\\[/tex]

Answer: A = 235 cm²

Step-by-step explanation: The figure has not a regular shape, but we can divide it to other figures that are easier to calculate the area.

For example, we can divide this figure in 2:

1) A square of side 9;

2) A rectangle of sides 14 and 11;

The image below represents what it is described.

Area of quadrilateral is calculated as A = length x width

Since both rectangle and square are quadrilateral, area of each will be

[tex]A_{square}[/tex] = 9.9

[tex]A_{square}[/tex] = 81

[tex]A_{rectangle}[/tex] = 11.14

[tex]A_{rectangle}[/tex] = 154

The area of the shape is the sum of each part we calculated:

[tex]A_{total}[/tex] = 154 + 81

[tex]A_{total}[/tex] = 235

The area of the shape is 235 cm².

Answer:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

56

1

So now that we've converted 56 into a fraction, to work out the answer, we put the fraction 7/8 side by side with our new fraction, 56/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

7 x 56

8 x 1

=  

392

8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 392 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

392/8 = 49

8/8 = 1

When we put that together, we can see that our complete answer is:

49

1

The complete and simplified answer to the question what is 7/8 of 56 is:

49

Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.

Step-by-step explanation:

Answer:

forty nine

Step-by-step explanation:

convert 56 into a fraction (56/1) then multiply 7/8 × 56/1. it equals out to 392/8. then find the GCF of 392 and 8, which is 8. now divide boht the new numerator and denominator by 9 to simplify it to lowest terms. 49 is the answer

Answer:

B because you add each time starting from 3

Step-by-step explanation:

Answer:

I believe the volume is 80 cubic centimeters.

Step-by-step explanation:

V = volume

B = base

H = height

V = BH

V = (4) 20

V = 80

Answer:

1st line: linear

2nd line: linear

3rd line: 4

4th line: represents

Step-by-step explanation:

Arithmetic sequences increase by the same number each time. This means they are linear, as linear functions also increase by the same number each time.

So, the first and second lines have the answer of linear.

In the arithmetic sequence given, 4 is added to the previous number as it progresses. This represents a function.

So, the third line has the answer of 4, and the fourth line has the answer or represents.

Using arithmetic sequence concepts, it is found that the lines are:

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of the sequence is given by:

[tex]a_{n+1} = a_1 + (n-1)d[/tex]

Hence, an arithmetic sequence is also a linear function with rate of change d.

In this problem:

Hence, the lines are completed by:

You can learn more about arithmetic sequence concepts at https://brainly.com/question/25433204

Answer:

the answer is -90degrees

Step-by-step explanation:

DO substitite 180 for  pie and do -180/2 and get -90 degrees

Answer:

D

Step-by-step explanation:

I really don't know not smart

Answer:

sec(60) = 2

Step-by-step explanation:

sec(theta) = 1/cos(theta)

theta = 60o

cos(60) = 1/2 = 0.5

sec(theta) = 1/0.5 = 2

Answer: X = 2

Step-by-step explanation: calculator

Answer:

10.) 90 11.) 36

Step-by-step explanation:

Answer:    3/5

Step-by-step explanation:

Fist find  out how many whites are there and divide it by the total to find the probability.

9/15   simplify it to  3/5

Answer:

B, True

Step-by-step explanation:

Answer:

B)True

Step-by-step explanation:

IQR= Interquartile Range

Here is the answer:

75 - 40 = t

Brainliest pls

Answer:

75=T+40

35

Step-by-step explanation:

75=T+40 subtract 40 from both sides and we get 35

Answer:

90

Step-by-step explanation:

you add 15 each time

75+15=90

Answer:

105

Step-by-step explanation:

sequence number x 3 = S1

S1 x 5 = S2

21 x 5 = 105

Answer: Cards in second box are cheaper.

Step-by-step explanation:

We are told that the first box has 150 cards for $12.55. Therefore, the cost of one card would be:

= $12.55 / 150

= $0.084.

The second box has 120 cards for $9.60. Therefore, the cost if one card would be:

= $9.60 / 120

= $0.08

Therefore, the cards in the second box are cheaper.

Answer:

M<1 = 131

M<2 = 49

Step-by-step explanation:

1. Alternate interior angles theorem

2. 180-131 = 49

Answer:

85

Step-by-step explanation:

Answer:

[tex]\displaystyle \int {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx = 2arcsin(\sqrt{x}) + C[/tex]

General Formulas and Concepts:

Calculus

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int\limits {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx[/tex]

Step 2: Identify

Set up variables for u-substitution and integral trig.

[tex]\displaystyleu = \sqrt{x}\\a = 1\\du = \frac{1}{2\sqrt{x}}dx[/tex]

Step 3: integrate

We are given the expression:                                                                              

[tex]\int\limits {\frac{1}{\sqrt[]{x} }*\frac{1}{\sqrt[]{ 1-x^{2}}} } \, dx[/tex]

U-substitution:                                                                                                      

let u = [tex]x^{1/2}[/tex]             [So, x = u²]

[tex]\frac{du}{dx} = \frac{1}{2\sqrt[]{x}}[/tex]                 [differentiating both sides wrt x]

dx = du*2√(x)

dx = 2u(du)            [Since u = √x]

Finding the Integral:                                                                                              

Plugging these values in the given expression:

[tex]\int\limits {u^{-1}*(1-u^{2})^{-1/2} } \, 2\sqrt[]{x}*du[/tex]

[tex]\int\limits {\frac{1}{u}*\frac{1}{\sqrt[]{ 1-u^{2}}}*2u } \, du[/tex]

The 'u' in the numerator and denominator will cancel out

[tex]\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}}*2 } \, du[/tex]

Since 2 is a constant

[tex]2\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}} } \, du[/tex]

Using the property: [tex]\int\limits {\frac{1}{\sqrt[]{1-x^{2}} }} \, dx[/tex] = ArcSin(x) + C

2*ArcSin(u) + C

Since u = √x :

2*ArcSin(√x) + C

Answer:

1/4

Step-by-step explanation:

1. Solve the parentheses

(-5/6+1/3)

(-5+2/6)   6 is common multiple for 3 and 6

-3/6

-1/2          

2. Multiply

-1/2*-1/2

1/4

Hope this helps

Have a great day!

Answer:

8r^2(r + 2)

Step-by-step explanation:

Factor 8r^3 + 16r^2

= 8r^2(r + 2)

Answer:

56 r

Step-by-step explanation:

8r x 3 + 16 r x 2

24 r + 32 r

56 r

Answer:

Joe is going with a speed of 7200

cm per minute. Bob is going with a speed of 8000

cm per minute. The distance between them change with 800

cm per minute. The distance will become 9000

cm in 10 minutes

Answer:

7200 8000 800 and 9000

Step-by-step explanation:

L