Austin was budgeted $ 825 to spend on chairs for his upcoming event. If each chair costs $ 15 , how many chairs can he purchase?

Answer:

4t - 3y

Step-by-step explanation:

8t - 3y - 4t

8t - 4t - 3y

4t - 3y

7t +(-3t) - 3y

7t - 3t - 3y

4t - 3y

Answer:

These expressions are equivalent, as both of them simplify down to (4t - 3y).

Step-by-step explanation:

In order to determine if (8t - 3y - 4t) is equivalent to (7t + (-3t) - 3y) one must simplify each equation. Combine like terms by performing the operations between the coefficients of the variables.

8t - 3y - 4t

= 4t - 3y

7t + (-3t) - 3y

= 7t - 3t - 3y

= 4t - 3y

Answer:

See image below:)

Step-by-step explanation:

The x and y intercept is -4 or -6 and -16 respectively.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given function: f(x)=- 4|x+5|+4

So, 0= -4|x+5|+4

    -4|x+5|=-4

    |x+5|=1

 x= -6 or -4.

 then y=-20+4

        y=-16

Hence, the intercepts are -6 or -4 and -16.

Learn more about intercepts here:

https://brainly.com/question/14180189

#SPJ2

Answer:

D (The square root property should have been applied to both complete sides of the equation instead of to select variables)

Step-by-step explanation:

On edge 2021

9514 1404 393

Answer:

 $27,026.90

Step-by-step explanation:

The future value formula can be solved to find the present value required.

  FV = P(1 +r)^t . . . future value of P compounded at annual rate r for t years

  $100,000 = P(1 +0.08)^17

  P = $100,000/3.70002 . . . . divide by the coefficient of P

  P = $27,026.90

You would need to deposit #27,026.90 now to reach this goal.

Answer:

She missed her goal, because she made less than $75 on coffee today.

10

Step-by-step explanation:

Target profit = $75

Profit per cup = $0.80

Number of cups sold = 90

Profit made today = Profit per cup * Number of cups sold

= $0.80 * 90

= $72

She missed her goal, because she made less than $75 on coffee today.

2. (9.5 minus 3 times 1 and one-half) divided by 0.5

(9.5 - 3 * 1 1/2) ÷ 0.5

= 9.5 - 3 * 3/2 ÷ 0.5

= 9.5 - 9/2 ÷ 0.5

= (9.5 - 4.5) ÷ 0.5

= 5 ÷ 0.5

= 10

Answer:

60 feet

Step-by-step explanation:

Answer:

I am pretty sure its 30 students

Answer:

27.4 feet down deep

Step-by-step explanation:

28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up

leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea

Answer:

27.4 feet

Step-by-step explanation:

.3 ft per sec for 6 sec = 1.8 feet

.3 ft per sec for 4 sec = 1.2 feet

28 - 1.8 + 1.2 = 27.4

Answer:

Step-by-step explanation:

Distance : [tex]\sqrt{(x2-x1)^2 + (y2 - y1)^2} = \sqrt{(9-2)^2 + (-9+14)^2}= \sqrt{49 + 25} = \sqrt{74}[/tex]

Midpoint :

x (m) = (2+9)/2 = 11/2

y (m) = (-14-9)/2 = -23/2

M (11/2, -23/2)

Answer:

[tex]\displaystyle y = 2sin\:1\frac{1}{3}\pi{x} + 3[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 2cos\:(1\frac{1}{3}\pi{x} - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{3}{8}} \hookrightarrow \frac{\frac{\pi}{2}}{1\frac{1}{3}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{2}} \hookrightarrow \frac{2}{1\frac{1}{3}\pi}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{2}} \hookrightarrow \frac{2}{1\frac{1}{3}\pi}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although the exercise told you to write the sine equation based on the speculations it gave you, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:1\frac{1}{3}\pi{x} + 3,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{3}{8}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{3}{8}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{3}{8}} = \frac{\frac{\pi}{2}}{1\frac{1}{3}\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(1\frac{1}{3}\pi{x} - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have the exercise to wourk with, take a look at the above information next to [tex]\displaystyle Wavelength\:[Period].[/tex]It displays the formula on how to define each wavelength of the graph. You just need to remember that the B-term has [tex]\displaystyle \pi[/tex]in it as well, meaning both of them strike each other out, leaving you with just a fraction. Now, the amplitude is obvious to figure out because it is the A-term, so this is self-explanatory. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter what the vertical shift is, that will ALWAYS be the equation of the midline, and if viewed from a graph, no matter how far it shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

162 minutes

Step-by-step explanation:

Since she takes 6.2 minutes a mile, you multiply it by 26.2 for every mile. 6.2x26.2= 162.44, then round it to 162

Surface area of 5 sides of square = 5a²= 5×8.2×8.2=336.2 Cm²

Surface area of pyramid= a²+2a √a²/4+h²= 8.2²+2×8.2√67.24/4+ 4.41= 142.79

Surface area of composite shape = 336.2+142.79-67.24= 411.75~ 411.8 Cm² !

Answer:

the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.

Hope this help

Have a nice day :)

Answer:

x = 111

Step-by-step explanation:

180- 82 -29 is 69 and 180-69 is x which x is equal to 111

Answer:

111°

Step-by-step explanation:

By exterior angle theorem:

[tex]x = 82 \degree + 29 \degree \\ = 111 \degree[/tex]

Answer:

1760 cm³

Step-by-step explanation:

Volume For top "trapezoidal" prism : (14 * 4)/2 * 20 = 28 * 20 = 560

Volume for bottom rectangular prism = 6 x 10 x 20 = 60 x 20 = 1200

1200 + 560 = 1760 cm³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

A is the closest

Answer:   876

Step-by-step explanation:so all you need to do is go into  

Answer:

d. static

Step-by-step explanation:

This is a question about Java programming.

A class contains information about it's members(objects). Private, public or inline variables must be related to an object, that is, an object has to be created before the variable is acessed.

Static variables, otherwise, may pertain to the class, and not to the object, that is, and thus, the correct answer is given by option d.

Answer:

6 cm

Step-by-step explanation:

Volume of a prism= Length X Width x height

750 = 25 x 5 x h

750= 125h

750/125 = 125h/125

h= 6

Answered by Gauthmath

Answer:

There is not enough statistical evidence to suggest that the health insurance coverage is independent of the size of the company

Step-by-step explanation:

The given data presented in tabular form is presented as follows;

[tex]\begin{array}{llcr}&Health \ Insurance&\\Size \ of \ Company & Yes &No &Total\\Small&34&16&50\\Medium&61&14&75\\Large&85&15&100\end{array}[/tex]

The null hypothesis, H₀; The two data are independent

The alternative hypothesis Hₐ; The variables are dependent

[tex]Expected \ value = \dfrac{(Row \ total) \times (Column \ total) }{Table \ total}[/tex]

The expected value are the values in parenthesis in the following table;

[tex]\begin{array}{llcr}&Health \ Insurance&\\Size \ of \ Company & Yes &No &Total\\Small&34(40)&16(10)&50\\Medium&61(60)&14(15)&75\\Large&85(80)&15(20)&100\\Total&180&45&225\end{array}[/tex]

[tex]\chi ^2 = \sum{\dfrac{ \left(O_i - E_i \right)^2}{E_i}[/tex]

Therefore

χ² = (34 - 40)²/40 + (16 - 10)²/10 + (61 - 60)²/60 + (14 - 15)²/15 + (85 - 80)²/80 + (15 - 20)²/20 ≈ 6.1458

The degrees of freedom = (2 - 1)·(3 - 1) = 2

The p-value from the Chi-square table is 0.05 < p-value < 0.01

Given that the p-value is larger than the significant value, we have that data is not statistically significant and we fail to reject the null hypothesis.

Therefore, the health insurance coverage is independent of the size of the company

Answer:

h(-8) = -40

Step-by-step explanation:

Find h(-8) by plugging in -8 as x:

h(x) = 1/4x² + 7x

h(-8) = 1/4(-8)² + 7(-8)

Simplify:

h(-8) = 1/4(64) - 56

h(-8) = 16 - 56

h(-8) = -40

So, the answer is h(-8) = -40

The value of h(-8) is -40.

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given:

h(x)=1/4x²+7x

h(-8)= 1/4* 64+7*(-8)

      = 16-56

      = -40

Hence, h(-8)=-40.

Learn more about quadratic equation here:

https://brainly.com/question/2263981

#SPJ2

Answer:

x is 13°.take the triangle to find the measure of x.180° -(85°+82°)=x

180°-167°=13°

For the given triangle the measure of the angle x is = 3 degrees.

Labeling the given figure,

since angle C and angle B are alternate angles

Therefore,

For the triangle ABE

The interior angle for A = x

The interior angle for B = 180 -98

                                       = 92 degree

Since we know that,

The sum of the two interior angles of a triangle is equal to the exterior angle of the opposite side.

Therefore,

⇒ x  + 92 = 180 - 85

⇒ x  = 3 degrees.

Hence,

The measure of the angle x is = 3 degrees.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

Answer:

Step-by-step explanation:

322.14 cm²

Answer:

pls complete your question. what exactly are we supposed to calculate?

Given:

A fair die is rolled.

It pays off $10 for 6, $7 for a 5, $4  for a 4 and no payoff otherwise.

To find:

The expected winning for this game.

Solution:

If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.

The probability of getting a 6 is:

[tex]P(6)=\dfrac{1}{6}[/tex]

The probability of getting a 5 is:

[tex]P(5)=\dfrac{1}{6}[/tex]

The probability of getting a 4 is:

[tex]P(4)=\dfrac{1}{6}[/tex]

The probability of getting other numbers (1,2,3) is:

[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]

[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]

Now, find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.

[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]

[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]

[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]

On further simplification, we get

[tex]E(x)=\dfrac{10+7+4}{6}[/tex]

[tex]E(x)=\dfrac{21}{6}[/tex]

[tex]E(x)=3.5[/tex]

Hence, the expected winnings for this game are $3.50.

Step-by-step explanation:

This is called a nested function. Remember, math is a language.

We define a function where x is whatever we want it to be, f(x) = g(x) +10

but we have yet another function inside and itvs defined as g(x) = 3x - 18

if we were to write it out, it woukd be

f(x) = (3x - 18) + 10

Answer:

a. Photographer A by $10

b. Photographer B by $25