Vijay is celebrating his birthday at Pizza Ranch. The all-you-can-eat meal costs $12 per adult
and $5 per child. He wants to stay under a budget of $180 for the party.
Select the inequality in standard form that describes this situation. Use the given numbers and the
following variables
• X = the number of adults attending
· y = the number of children attending
12x + 5y < 180
B
12x + 5y < 180
52 + 12y < 180
5x + 12y < 180

Answer:

it's 2 got it right on edg

Step-by-step explanation:

Answer:

771

Step-by-step explanation:

Answer:

[tex]this \: proberbility \: is \: \frac{2}{5} [/tex]

Answer:

20, 10, 12.50

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

Answer:

Two solutions.

hope that will help you

Answer:

A. zero

Step-by-step explanation:

3x + 13 = 3(x + 6) + 1

step 1. distribute 3 through the parantheses:

3x + 13 = 3(x + 6) + 1

step 2. cancel equal terms on both sides of the equation:

3x + 13 = 3x + 18 + 1

13 = 18 + 1

step 3. add the numbers:

13 = 18 + 1

13 = 19

13 ≠ 19, so there is no solution.

may i please have brainliest?

Answer: God

Step-by-step explanation:

The reason it’s god is because god created everything so he know everything. So your answer is god

Answer:

4.

Step-by-step explanation:

−5n+5=−15

Step 1: Subtract 5 from both sides.

−5n+5−5=−15−5

−5n=−20

Step 2: Divide both sides by -5.

−5n

−5

=

−20

−5

n=4

Can I have Brainlliest? Hope it helps.

Answer:

n=4

Step-by-step explanation:

Answer:

[tex]\frac{dh}{dt} = \frac{216}{1875\pi}[/tex]

Step-by-step explanation:

Given

Represent radius with r and height with h

[tex]h = 12ft[/tex]

[tex]r = 10ft[/tex]

[tex]Rate = \frac{8ft^3}{min}[/tex] when [tex]h = 10ft[/tex]

Express radius in terms of height

[tex]\frac{r}{h} = \frac{10}{12}[/tex]

[tex]\frac{r}{h} = \frac{5}{6}[/tex]

[tex]r = \frac{5}{6}h[/tex]

First, we need to determine the volume of the cone in terms of height.

[tex]Volume = \frac{1}{3}\pi r^2h[/tex]

Substitute [tex]r = \frac{5}{6}h[/tex]

[tex]V = \frac{1}{3} * \pi * (\frac{5}{6}h)^2 * h[/tex]

[tex]V = \frac{1}{3} * \pi * \frac{25}{36}h^2 * h[/tex]

[tex]V = \frac{1}{3} * \pi * \frac{25}{36}h^3[/tex]

[tex]V = \frac{25}{108} \pi h^3[/tex]

Differentiate both sides w.r.t time (t)

[tex]\frac{dV}{dt} = 3 * \frac{25}{108} \pi h^{3-1} * \frac{dh}{dt}[/tex]

[tex]\frac{dV}{dt} = \frac{75}{108} \pi h^{2} \frac{dh}{dt}[/tex]

Solve for [tex]\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = \frac{dv}{dt} * \frac{108}{75\pi h^2}[/tex]

At this point, [tex]h = 10[/tex] and [tex]\frac{dv}{dt} = \frac{8ft^3}{min}[/tex]

So, we have:

[tex]\frac{dh}{dt} = 8 * \frac{108}{75\pi 10^2}[/tex]

[tex]\frac{dh}{dt} = \frac{8 * 108}{75\pi 10^2}[/tex]

[tex]\frac{dh}{dt} = \frac{864}{7500\pi}[/tex]

[tex]\frac{dh}{dt} = \frac{216}{1875\pi}[/tex]

Hence:

The rate is [tex]\frac{216}{1875\pi} ft/min[/tex]

Using implicit differentiation, it is found that the depth of water changes at a rate of -0.0764 feet per minute.

The volume of a cone of radius r and height h is given by:

[tex]V = \frac{\pi r^2h}{3}[/tex]

Applying implicit differentiation, we can find it's rate of change, thus:

[tex]\frac{dV}{dt} = \frac{2\pi rh}{3}\frac{dr}{dt} + \frac{\pi r^2}{3}\frac{dh}{dt}[/tex]

In this problem:

Then:

[tex]\frac{dV}{dt} = \frac{2\pi rh}{3}\frac{dr}{dt} + \frac{\pi r^2}{3}\frac{dh}{dt}[/tex]

[tex]-8 = \frac{\pi (10)^2}{3}\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = -\frac{24}{100\pi}[/tex]

[tex]\frac{dh}{dt} = -0.0764[/tex]

The depth of water changes at a rate of -0.0764 feet per minute.

A similar problem is given at https://brainly.com/question/9543179

Answer:

x = -2

Step-by-step explanation:

5x + 17 = 7

5x = -10

5x/5 = -10/5

x = -2

i could be wrong but i hope i helped

Answer:

Step-by-step explanation:

5X + 17 = 7

subtract 17 each side

5x + 17 - 17 = 7 - 17

divide 5 both sides

5x = -10  

simplify

5x/5 = -10/5

x = -2

Answer:

x=28

So a

Step-by-step explanation:

2x+96+x=180   add like terms (2x+x)

3x+96=180       subtract 96 from both sides (3x+96-96=180-96)

3x=84               divide both sides by 3 (3x/3=84/3)

x=28

Answer:

13 3/5 inches per hour

Step-by-step explanation:

If at 2 there is 23 inches and then at 7 there is 45, it has been 5 hours. Taking the mean (average) is just taking 45+23 and dividing it by 5. That gives you 68/5 which simplified to a mixed number is 13 3/5. So, there was a mean of 13 3/5 inches of snowfall hourly. Hope that helps!

Answer:

Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex]   = 1.6  

we reject the Null hypothesis

Step-by-step explanation:

The correct test statistic

Assume :

Null Hypothesis :  H_0 : p = 0.08

Alternative hypothesis : H_a : p ≠ 0.08

p = proportion of residents that are unemployed

x = unemployed residents = 22

n = sample size = 200

To get the sample of the population that is unemployed we use this equation

[tex]p = \frac{X}{n}[/tex]  =  22 / 200   = 0.11

now we apply the test of of significance of single proportion

= Z = [tex]\frac{p - P}{\sqrt{pq/n} }[/tex]

therefore Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex]   = 1.6

Therefore we reject the Null hypothesis

Testing the hypothesis, it is found that the test statistic used is z = 1.6.

At the null hypothesis, it is tested if the proportion is of 8%, that is:

[tex]H_0: p = 0.08[/tex]

At the alternative hypothesis, it is tested if the proportion is different of 8%, that is:

[tex]H_1: p \neq 0.08[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are: [tex]p = 0.08, n = 200, \overline{p} = \frac{22}{200} = 0.11[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.11 - 0.08}{\sqrt{\frac{0.08(0.92)}{200}}}[/tex]

[tex]z = 1.6[/tex]

A similar problem is given at https://brainly.com/question/24166849

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

6x−16

Step-by-step explanation:

Answer:

i think its C

Step-by-step explanation:

sorry if i get it wrong

Answer:

$519.96

Step-by-step explanation:

$12.38 × 42= $519.96

Answer:

30 pounds

Step-by-step explanation:

took test

Answer:

it's 400-

Step-by-step explanation:

total minutes a day is 40, multiplied by 10 days

Answer: hmmm simple it’s 15

Step-by-step explanation: your welcome

Sum of triangle: 180

So we know that:

7x + 3x + 8 + x + 7 = 180

Combine like terms:

11x + 15 = 180

11x = 165

x = 15

Plug in for x in order to find the angles.

You should be able to solve from here!

Answer:

  m∠I = 22

  m∠J = 53

  m∠K = 105

Step-by-step explanation:

m∠I = (x + 7)

m∠J = (3x + 8)

m∠K = (7x)

m∠I + m∠J + m∠K = 180°

(x + 7) + (3x + 8) + (7x) = 180

x + 7 + 3x + 8 + 7x = 180

11x + 15 = 180

11x = 165

x = 15

m∠I = 15 + 7 = 22

m∠J = 3(15) + 8 = 53

m∠K = 7(15) = 105

Answer: on the first week she earned 220$ and on the second week she earns 200$

Step-by-step explanation: Haley makes a total of 400$ in a week. divided by 2 would equal 200$ each. but Haley made an extra 20$ in the first week. so, 200$+20$=220$.And the two combined is 420$.

Answer:

[tex]\frac{7\pi }{6} ; \ \frac{3\pi }{2} ; \ \frac{11\pi }{6}.[/tex]

Step-by-step explanation:

if 1=sin²Q+cos²Q, then cos²Q=1-sin²Q, then

2sin²Q+3sinQ+1=0;

[tex]\left[\begin{array}{ccc}sinQ=-1\\sinQ=-0.5\end{array} \ => \ \left[\begin{array}{ccc}Q=3\pi/2+2\pi *n\\Q=(-1)^n*\frac{7\pi }{6}+\pi n \end{array}[/tex]

on the interval Q=3π/2 (from the 1st equation) and Q=7π/6; 11π/6 (from the 2d equation).