Sarah is selling water bottles at a football game for $2.25 each . She spent $36.75 to purchase the water bottles, ice, and cooler. If she wants to make at least $180 after expenses, what is the fewest number of water bottles she must sell?
D. 117 97 B. 80 A. 64
Please help I to know how to solve it but I know The answer is 97B.

[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} g(x)=8x^6\\\\ f(x)=\log_4(2x) \end{cases}\qquad \qquad \begin{array}{llll} f(~~g(x)~~)=\log_4[~2g(x)~] \\\\\\ f(~~g(x)~~)=\log_4[~2(8x^6)~] \end{array} \\\\\\ f(~~g(x)~~)=\log_4(16x^6)\implies f(~~g(x)~~)=\log_4(4^2x^6) \\\\\\ f(~~g(x)~~)=\log_4(4^2)~~ + ~~\log_4(x^6)\implies \boxed{f(~~g(x)~~)=2~~ + ~~6\log_4(x)}[/tex]

Compare to y=mx+b

Here slope described the rate of change happened to the price of milk

Answer:

Well if you are adding then no it is 16 pairs of clothing

Step-by-step explanation:

Answer:

[tex]y=3^x[/tex]

Step-by-step explanation:

exponential function : y = a(b)^x

where a = y intercept and b = factor ( number you are multiplying by )

according the the graph the y intercept is a 1 so a = 1

we now have y = 1(b)^x

to find the factor you plug in one of the ordered pairs into y = 1(b)^x

the ordered pair you use will not effect the outcome, i have chose (2,9)

y = 1(b)^x

(x,y) = (2,9) so x = 2 and y = 9

9 = 1(b)^2

divide both sides by 1

9 = (b)^2

take the square root of both sides

3 = b

the final equation is y = 1(3)^x or just y = 3^x

Step-by-step explanation:

relation btw tangent and secant

ab = tangent

bd= secant

ab^2 = bc*cd

x^2 = 9*25= 225

x=15

Answer:

6/8

Step-by-step explanation:

Answer:

h(t) = -16t² + 200

distance = 56 ft

Step-by-step explanation:

First of all, we know that the initial velocity (v0) of the rock is 0 ft/s because the rock was dropped. We also know that the initial height of the rock is 200 ft because it was dropped at the top of the well which is 200 ft high. Plugging this information into our quadratic function we get h(t) = -16t² + 200.

Now we need to find the distance from the surface of the water to the bottom of the well. This distance is equal to the height of the rock at time equals 3 seconds. Therefore, all we need to do is find h(3) = -16(3)² + 200 = 56 ft.

Answer:

When simplified, the functions are x < 5 or x > -1

Answer:

  8 km

Step-by-step explanation:

Danielle can multiply the scale values by 4 to find the real life distance between the park and the beach.

  1 cm : 2 km . . . . . given scale values

  4 cm : 8 km . . . . . multiply values by 4

The state park and state beach are 8 km apart.

Answer:

x= 6.324555320

Step-by-step explanation:

X^2=40

1. Square root both sides

2. You should be left with x=6.32....

Solution: √40 = x

So basically, you have to find x, which is raised to the power of two. To find that, we'll have to square root 40 because square rooting a number is the opposite of squaring a number

So 40 squared = 6.32455532034

A really long number...

Now, let's check our answer

6.32455532034^2 = 40

So therefore, x = 6.32455532034

Hope this helped!!

Answer:
1 bag = 8 pounds
1 pound = 16 ounces
8 pounds = 128 ounces

3 bags = 128 x 3
            =72 ounces

Answer:

[tex]\frac{ {b}^{10} }{ 81 {a}^{2} } [/tex]

Step-by-step explanation:

[tex](9ab^{-5})^{-2} \\ \\ = {9}^{ - 2} {a}^{ - 2} {b}^{ - 5( - 2)} \\ \\ = {9}^{ - 2} {a}^{ - 2} {b}^{10} \\ \\ = \frac{ {b}^{10} }{ {9}^{2} {a}^{2} } \\ \\ \huge = \frac{ {b}^{10} }{ 81 {a}^{2} } [/tex]

Answer:

Two angles whose sum is 90° (that is, one right angle) are called complementary angles and one is called the complement of the other.

Here, ∠AOB = 40° and ∠BOC = 50°

Therefore, ∠AOB + ∠BOC = 90°

Here, ∠AOB and ∠BOC are called complementary angles.

∠AOB is complement of ∠BOC and ∠BOC is complement of ∠AOB.

Step-by-step explanation:

hope it helps

Answer:

3015.99cm³

Step-by-step explanation:

Formula for the volume of a cylinder= V=πr²h

8 = radius

15 = height

V=64π x 15

V = 3015.99cm³ (rounded to 2DP)

Answer:

3014.4 cm^3

Step-by-step explanation:

volume of a cylinder =

[tex]\pi \: r {}^{2} h[/tex]

h = 15

r = 8

pi = 3.14

volume = 3.14 × 8^2 × 15

v = 3.14 × 64 × 15

therefore

v = 3014.4 cm^3

pls give brainliest

Answer:

I'll only answer the 1st one:    17 cubed / square root of 12

Step-by-step explanation:

Figure the rest out yourself.

Answer:

 $22.88

Step-by-step explanation:

The total bill is the subtotal plus tax. The tax is computed by multiplying the tax rate by the subtotal, which is the total of all items being billed.

  subtotal = $5.25 +12.75 +2.99 = 20.99

  tax = $20.99 × 0.09 = $1.89

The total bill is ...

  subtotal + tax = $20.99 +1.89 = $22.88

Answer:

yes it is the right angle

Answer:

A, If you still need help

Answer:

The square root is 2357.0224861

The interest paid for the credit card purchase will be equal to $5.49

It is given that

Credit card purchase cost = $46. 92

Daily interest = 0.39%

Total interest for 30 days = [tex]0.39\times30=11.7[/tex]%

So the total interest paid will be given by

[tex]=\dfrac{11.7\times46.92}{100}=5.489[/tex]

Thus the interest paid for the credit card purchase will be equal to $5.49

To know more about Simple Interest follow

https://brainly.com/question/25793394

Answer:

Step-by-step explanation:

Multiply the top equation by 3.

3*(x - y)/3 = 0.5 * 3

(x - y) = 1.5

There is no single solution that satisfies this system. There infinitely many values for x and y that will work. The only restriction is that x - y = 1,5

So if you make y = 3

x - 3 = 1.5                   Add 3 to both results

x - 3 + 3 = 1.5 + 3       Combine

x = 4.5

Infinitely many solutions exist.

Answer:

[tex]x =4 + \sqrt{6}, \: \: 4 - \sqrt{6}[/tex]

Step-by-step explanation:

[tex]x^2-8x + 10 = 0 \\ \\ \implies \: x^2-2(x)(4) + 10 = 0\\ \\ \implies \: x^2-2(x)(4) + {(4)}^{2} - {(4)}^{2} + 10 = 0\\ \\ \implies \: x^2-2(x)(4) + {(4)}^{2} - 16 + 10 = 0\\ \\ \implies \: (x - 4)^2 - 6= 0\\ \\ \implies \: (x - 4)^2 = 6\\ \\ \implies \: x - 4 = \pm \sqrt{6} \\ \\ \implies \: x = 4 \pm \sqrt{6} \\ \\ \implies \: x =4 + \sqrt{6}, \: \: x =4 - \sqrt{6}[/tex]

Answer:

75

Step-by-step explanation:

The area of a triangle with base b and height h is

1

2

bh. You want to find the area of a triangle with base b=15 inches and height h=10 inches.

Evaluate the expression

1/2

bh for b=15 and h=10

1/2

bh=1/2

(15)(10)

=1/2

(150)

=

75

The area of Larry's tortilla chip is 75 square inches.

Answer:

y = 8x - 5

Step-by-step explanation:

Given:

To find:

How to find:

The slope is always known as "constant of variation" or "rate of change", but it's basically the increase of both y and x axes in simple terms. The decrease or increase in two points together and then found with the formula of rise/run (increase and decrease) (horizontal line/vertical line).

The y-intercept is always on the y-axis and is the beginning of what is learned in pre-algebra as a "story" which helps students practice finding the slope which again, is the change with "per" or "each".

Make sure to use the formula:

y = mx + b

Now we insert.

y = 8x <---------- slope

y = 8x - 5 <------ y-intercept and completed slope-intercept equation.

The reason it has a negative is because it started out as a negative y-intercept and is increasing by 8 through ordered pairs.

Answer:

y = 8x - 5

Step-by-step explanation:

because if its has a slope of 8 then m is 8

if the y intercept is -5 the b is -5

y = mx + b

y = 8x -5

Answer: -7 and 4

Step-by-step explanation:

Answer: Angle LPO

Step-by-step explanation:

The diagram illustrates congruent and complementary angles

The congruent statement [tex]\angle C \cong \angle P[/tex] is true

The given parameters are:

Angles C and O are complementary angles

Angles P and M are complementary angles

[tex]\angle O \cong \angle M[/tex]

The statement [tex]\angle O \cong \angle M[/tex] means that, angles O and M are congruent angles.

From the figure, we have:

[tex]\angle C = 90 - \angle O[/tex]

Also, we have:

[tex]\angle P = 90 - \angle M[/tex]

Recall that: [tex]\angle O \cong \angle M[/tex]

So, we have:

[tex]\angle P = 90 - \angle O[/tex]

By comparison, we have:

[tex]\angle C \cong \angle P = 90 - \angle O[/tex]

Hence, the statement [tex]\angle C \cong \angle P[/tex] has been proven

Read more about angle proofs at:

https://brainly.com/question/1788884

Answer:

The answer is A. With a t score of -0.8137, and a p-value of 0.21987, there is insufficient evidence to reject the null hypothesis. This indicates that typing does not significantly increase the number of words that students write.

Step-by-step explanation:

Answer choices B and C are not correct because this is a one-tailed test and it isn't answer choice D because the p-value is greater than the significance level which means there is NOT sufficient evidence to reject the null hypothesis.