The staff person is setting up the escape room and will add code books and flashlights. She needs at least 50 of a combination of code books and flashlights. (c + f ≥ 50) Each code book costs $2 and each flashlight costs $5. The budget for escape room supplies is no more than $175. Use c for the number of code books and f for the number of flashlights. What is the equation of the second inequality? *

Answers

Answer 1

Answer:

The second inequality is 2c + 5f ≤ 175

Step-by-step explanation:

Given - The staff person is setting up the escape room and will add code books and flashlights. She needs at least 50 of a combination of code books and flashlights. (c + f ≥ 50) Each code book costs $2 and each flashlight costs $5. The budget for escape room supplies is no more than $175.

To find - What is the equation of the second inequality?

Proof -

Let us assume that,

The number of code books = c

The number of flashlights = f

So,

Given that, She needs at least 50 of a combination of code books and flashlights

⇒ c + f ≥ 50

Now,

Given that, Each code book costs $2 and each flashlight costs $5.

So,

Cost of c code books = 2c

Cost of f flashlight = 5f

And Given, The budget for escape room supplies is no more than $175.

⇒2c + 5f ≤ 175

∴ we get

The second inequality is 2c + 5f ≤ 175


Related Questions

If a1 = 6 and an
-5an-1 + 4 then find the value of a4.


Help

Answers

Answer:

A4

Step-by-step explanation:

The Unit Circle

Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
29°

a. (0.87, 0)
b. (0.87, 0.48)
c. (0.48, 0.87)
d. (1, 0.48)

Please select the best answer from the choices provided

Answers

Answer:

B. (0.87, 0.48)

Step-by-step explanation:

I calculated it logically

what instrument would you use to measure the following:speed​

Answers

Answer:

speedometre

Step-by-step explanation:

it's used for mostly by police officer s

Answer:

Speedometer

Step-by-step explanation:

Mainly used to determine the speed of a vehicle

A line has a slope of -5 and has a point of (-2,2) and (-1, -3). Write the equation for the line in slope intercept form.

Answers

9514 1404 393

Answer:

  y = -5x -8

Step-by-step explanation:

The y-intercept can be found from ...

  b = y -mx

Using the first point, we have ...

  b = 2 -(-5)(-2) = -8

Then the slope-intercept equation is ...

  y = mx + b . . . . . . . . for slope m and y-intercept b

  y = -5x -8

Answer:

the answer is

y=-5×-8

Step-by-step explanation:

:))

give the other person brainiest please

Answers

Answer:

what??????????????????????

Step-by-step explanation:

Answer:

am pro am big brain two  

:D

Step-by-step explanation:

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Please help
Hassan jarred 12 liters of jam after 6 days. How many days does Hassan need to
spend making jam if he wants to jar 14 liters of jam in all? Assume the relationship
is directly proportional.

Answers

Answer: 7 days

Step-by-step explanation: if he can make 12 liters in 6 days then you can divide 12 by 6 to know he can make 2 liters in 1 day. If he only needs 2 more liters, he only needs one more day and he has already spent 6 days and adding the one extra day, it would be 7 days

Given that f(x) = x2 - 5x+6, evaluate the function f(6).

Answers

Answer:

f(6) = 12

Step-by-step explanation:

We are given the following function:

[tex]f(x) = x^2 - 5x + 6[/tex]

Evaluate the function f(6).

This is [tex]f(x)[/tex] when [tex]x = 6[/tex]. So

[tex]f(6) = 6^2 - 5(6) + 6 = 36 - 30 + 6 = 12[/tex]

f(6) = 12 is the answer.

Simplify the following expression.

1/2 divided by 1/10

A. 1 whole 1/3




B. 1/20



C. 5


D. 1/5

Answers

Answer:

I got C.)5

Step-by-step explanation:

What is the expression for 0.5(16-m)

Answers

Answer:

−0.5m+8

Step-by-step explanation:

Mark as Brainliest

Identify JK. JK and JM are tangent to W.

Answers

Answer:

B. 8

Step-by-step explanation:

Based on the tangent theorem, when two tangents meet at an external point of a circle, the length of the two tangents are said to be equal in length.

Therefore:

JK = JM

Substitute

5x - 12 = x + 4

Collect like terms

5x - x = 12 + 4

4x = 16

4x/4 = 16/4

x = 4

✔️JK = 5x - 12

Plug in the value of x

JK = 5(4) - 12

JK = 20 - 12

JK = 8

please help will give brainliest !!

Complete the following Truth Table

p q r ~p ∧ ~q ∨ r
T T T (a)
T T F (b)
T F T (c)
T F F (d)
F T T (e)
F T F (f)
F F T (g)
F F F (h)

Answers

I believe it’s C and E

At one school, the average amount of time that spend watching television each week is The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of 21.6 hours. Classify the hypothesis test as left-tailed, right-tailed, or two-tailed.
a. Two-tailed
b. Right-tailed
c. Left-tailed

Answers

Answer:

Left Tailed

Step-by-step explanation :

Hypothesis Testing is done to test statistical significance of a mathematical  assumption. Null Hypothesis is neutral hypothesis, Alternate Hypothesis shows deviation from neutral (null) hypothesis.

Null Hypothesis [H0] : Mean TV time = 21.6 hours

Alternate Hypothesis [H1] : Mean TV time < 21.6 hours

In left tailed test, alternate hypothesis states value less than null hypothesis assumed value. In right tailed test, alternate hypothesis states value greater than null hypothesis assumed value. In two tailed test, alternate hypothesis states value unequal (greater or less than) null hypothesis assumed value.

So, this case has left tailed test.

How many solutions does the following equation have? -2(-4x + 7) = -2 + 4x​

Answers

Answer: Only 1

Step-by-step explanation: Isolate the variable. The solution is x=3.

What is the change in y?

Answers

Answer:

+4

Step-by-step explanation:

Answer:

-4.

Step-by-step explanation:

Change in y is 11 - 15 = -4  ( 7 - 11 = -4)

Is quadrilateral UVWX a parallelogram? Why or why not?

A)

There isn't enough information.

B)

Yes, because adjacent sides aren't perpendicular.

C)

No, because opposite sides aren't congruent.

D)

Yes, because opposite sides are parallel.

Answers

Answer:

D) Yes, because opposite sides are parallel.

Step-by-step explanation:

Use side ratios to determine if the triangles in each pair are similar. If so, complete the similarity statement. NO LINKS!!!​

Answers

9514 1404 393

Answer:

  3)  ΔQRS ~ ΔQFG

  5)  ΔRST ~ ΔGFE

Step-by-step explanation:

3) Shortest to longest, the side ratios are ...

  RQ : QS = 6 : 12 = 1 : 2 (reduced)

  FQ : QG = 2 : 4 = 1 : 2 (reduced)

  ΔQRS ~ ΔQFG

__

5) FE : EG : GF = 18 : 24 : 26 = 9 : 12 : 13 (reduced)

  ST : TR : RS = 27 : 36 : 39 = 9 : 12 : 13 (reduced)

  ΔRST ~ ΔGFE

Which expression is not equal to 30​

Answers

Answer:

(2 * 60 / 30) * (24 + 2) is not equal to 30

Step-by-step explanation:

1. (9 * 10) / (4 + 1 ) + 12 = 30

2. 2 + (30 - 8 / 4) = 30

3. (2 * 60 / 30) * (24 + 2) = 104 [not equal to 30]

4. (120 / 20) * (2 + 3) = 30

Therefore, the third expression is not equal to 30.

Thenks and mark me brainliest :)

Solve the following quadratic function by utilizing the square root method. f(x) = 1 - x2 x = + [?]

Answers

Answer: 1

Step-by-step explanation:

If x = 0

then, f(x) = 1 - 0

f(x) = 1

x = ±1

Let f(x)=0

1-x²=0-x²=-1x²=1x=±1

Two numbers have a difference of 12. The smaller of the two numbers is 3 less than double the other. What are the two numbers?

Answers

Answer:

-9,-21

Step-by-step explanation:

let the numbers be x and y and x>y

x-y=12

y=2x-3

x-(2x-3)=12

x-2x+3=12

-x=12-3

-x=9

x=-9

y=2(-9)-3=-18-3=-21

A company developing a new cellular phone plan intends to market their new phone to customers who use text and social media often. In a marketing survey, they find that customers between age 18 and 34 years send an average of 48 texts per day with a standard deviation of 12. The number of texts sent per day are normally distributed.

Required:
a. A customer who sends 78 messages per day would correspond to what percentile?
b. A customer who sends 78 messages per day would be at ______th percentile.

Answers

Answer:

A customer who sends 78 messages per day would be at 99.38th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Average of 48 texts per day with a standard deviation of 12.

This means that [tex]\mu = 48, \sigma = 12[/tex]

a. A customer who sends 78 messages per day would correspond to what percentile?

The percentile is the p-value of Z when X = 78. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{78 - 48}{12}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a p-value of 0.9938.

0.9938*100% = 99.38%.

A customer who sends 78 messages per day would be at 99.38th percentile.

Lines that appear to be tangent are tangent. If O is the center of the circle, what is the value of x?

A. 240°
B. 60°
C. 140°
D. 120°

Answers

Answer:

a 240

Step-by-step explanation:

What is the area of the circle? *.

Answers

The formula is pi times the radius squared (A = π r²).

So it might be 78.53

Answer:

19.63cm²

Step-by-step explanation:

1/4 x π x 5² = 19.63495cm²

                  = 19.63cm²

Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The slope is 3 and the y-intercept is 4. How much more is the slope of function A than the slope of function B? 2 3 6 9

Answers

Answer:

6

Step-by-step explanation:

9 - 3 = 6

Answer: C

Step-by-step explanation:

there are 90 kids in the band. 20% of the kids own their own instruments, and the rest rent them. how many kids own their own instrument?

Answers

Answer:

18 kids

Step-by-step explanation:


In what form is the following linear equation written?
y=9x + 2
A. Standard
B. Rise-run
C. Slope-intercept
D. Point-slope

Answers

9514 1404 393

Answer:

  C.  Slope-intercept

Step-by-step explanation:

There are numerous forms of the equation of a line. Here are a few.

  y = mx + b . . . . slope-intercept form; slope m, y-intercept b

  y -k = m(x -h) . . . . point-slope form; point (h, k), slope m

  ax +by = c . . . . standard form; mutually prime integers, a > 0

  x/a +y/b = 1 . . . . intercept form; x-intercept a, y-intercept b

  ax +by +c = 0 . . . . general form

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . . . two-point form; points (x1, y1), (x2, y2)

  (y2 -y1)/(x2 -x1) = (y -y1)/(x -x1) . . . . you might call this rise-run form

__

The given equation best matches slope-intercept form; slope 9, y-intercept 2.

Enter the slope-intercept equation of the line shown below

Answers

Answer:

Step-by-step explanation:

y = -2x - 4

Hello Good morning can someone give me the answer of this operation?

39 + 1 - 24 / 6=

Also can you tell me the order? :> Thanks!!

Answers

Answer:

The answer is 36

Step-by-step explanation:

Because 39+1=40

So then 40-24=16

and then divided by 6 is 36 because when you divide you multiply

please help
-i think it’s equivalent but i’m not really sure
-will reward brainliest

Answers

Answer:

They're literally right on top of each other, u got this

Step-by-step explanation:

they are equivalent

In our very first module, we looked at numeration systems and the different bases that various cultures used. The Babylonian system was base 60; the Mayan system was base 20 (almost); and our Hindu-Arabic system is base 10. You read in the Grace Hopper biography that computers use a base 2 system. In base 2, only two symbols are used, so all numbers are represented with 0s and 1s.
A. Change the number 100 (base ten) to a numeral in base two.
B. Change the number 1010101 (base two) to a numeral in base ten.
C. This is a fun problem! The moon is approximately 238,900miles from Earth.
Admiral Hopper explained to David Letterman that a nano-second is one-billionth of a second. The maximum distance that electricity (or light) can travel in one nano-second is approximately one foot. How many seconds will it take to send an electronic signal from Earth to the Moon? If the signal bounces right back, how long will it take for the signal to go to the moon and come back to Earth? In this episode, Leonard and the other guys send laser signal to the moon and back. Leonard will tell you how long it took for the signal to go to the moon and back.

Answers

Answer:

1100100 base 2

85 base 10

2.522784 seconds

Step-by-step explanation:

Convert 100 from base 10 to the base 2

Reduce 100 by 2 until 0 ; the reminder obtained is written from bottom to top.

2 | 100

2 | 50 r 0

2 | 25 r 0

2 | 12 r 1

2 | 6 r 0

2 | 3 r 0

2 | 1 r 1

__0 r 1

Arranging from the bottom : 1100100 base 2

100 base 10 = 1100100 base 2

1010101 base 2 to base 10

1*2^6 + 0*2^5 + 1*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0

64 + 0 + 16 + 0 + 4 + 0 + 1 = 85 base 10

C)

1 mile = 5280 feets

Distance from earth to moon = 238900 miles

Distance in feets :

(5280 * 238900) = 1261392000 feets

Total distance from moon and back to earth = 2 * 1261392000 = 2522784000 feets

Using the relation :

Speed = distance / time

Speed = 1 feet per nano second

Distance = 2522784000 feets

1 = 2522784000 / time

Time = 2522784000 nano seconds

Converting to second :

2522784000 / 1000000000

= 2.522784 seconds

Plz help me well mark brainliest if correct!!...

Answers

Answer:C

Step-by-step explanation:

Extinct species tend to be fully gone or not seen in the wild for quite some time endangered would be a better answer for A

Hope this helps

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