HELP

A group of students is traveling to a baseball game on a rented bus. The cost to rent the bus is $100 and each ticket to the game costs $15.

The students decide that the cost per person should be less than $25.

Which inequality could be used to find the number of people, p, needed to go to the game in order to keep the cost below $25?

A

100-15p

> 25

р

Ha

B.

100-15p

<25

P

100+15p

c

> 25

р

OD

100+15p

P

<25

Answers

Answer 1

Answer:

100+15p < 25p

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

total cost of travelling = cost to rent a bus + total cost of ticket for p persons

100 + 15p

they want to spend less than an average cost of 25 per p people

they want to spend less than 25p

since they dont want to spend less than 25p, < would be used

100+15p < 25p


Related Questions

Select the correct answer. The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, what can you conclude? A. About 60% of the books have fewer than 150 pages. B. About 16% of the books have fewer than 150 pages. C. About 95% of the books have more than 150 pages. D. About 16% of the books have more than 150 pages.

Answers

Answer:

c

Step-by-step explanation:

Use long division to find the quotient below.
(2x² - 5x-3) + (x-3)
O A. X-1
B. X+1
O C. 2x-1
O D. 2x + 1

Answers

Answe

Đáp án: A

Step-by-step explanation:

Add the Integers
2+(-2)

Answers

Answer:

0

Step-by-step explanation:

2+(-2) is basically 2-2 which is 0

3y - 5 (2x + 3) - 12

Answers

-10x + 3y -27
hope this helps :)

Answer:

The answer is 3y - 10x - 27

Use the number line to find the measure of SV please help

Answers

Answer:

8

Step-by-step explanation:

count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length

Answer:

S= -7 to V= 1 so your answer is 8

Ill mark as brainiest :)

Answers

Answer:

1 ruler costs $0.60

Step-by-step explanation:

$20-$4.70=$15.30

Calculator =$7.50

3 Packs of Pens = $1.80 each

4 rulers= x each

$7.50 + 3($1.80) + 4x = $15.30

7.50 + 5.40 + 4x = 15.30

12.90 + 4x = 15.30

4x = 2.40

x = 0.60

Given circle and circle with radii of 6cm and 4cm respectively.




Compare the length of EF and GH.




The length of EF is ____the length of GH



The length of EF is___



The length of GH is ___

Answers

Solution :

Given that :

The radius of circle A = 6 cm

The radius of circle C = 4 cm

In circle A

[tex]\angle EAF = \theta = 140^\circ[/tex]

The length of arc EF = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]

                                   [tex]$=2 \times 3.14 \times 6 \times \frac{140^\circ}{360^\circ}$[/tex]

                                    = 14.653 cm

In circle C

[tex]\angle GCH = \theta = 140^\circ[/tex]

The length of arc GH = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]

                                   [tex]$=2 \times 3.14 \times 4 \times \frac{140^\circ}{360^\circ}$[/tex]

                                    = 9.769 cm    

Therefore,

The length of EF is 14.653 cm

The length of GH is 9.769 cm

The length of EF is  1.5 times the length of GH

i.e.                   14.653  = 1.5 x 9.769

                       14.653 = 14.653

Hence proved.

                             

Given the following quadratic equation: 0 = (x - 8) (3x - 5)

Find the solutions (Show all work) need help please

Answers

Answer:

x=8

x=5/3

Step-by-step explanation:

evey bracket equal =0 to get solution

x-8=0

x=8

3x-5=0

3x=5

x=5/3

Answer:

x=5/3 or x=8

Step-by-step explanation:

0=3x^2-29x+40

-3x^2+29x-40=0

(3x-5)(x-8)=0

-3x+5=0 or x-8=0

x=5/3 or x=8

When you find the surface area of a cube, you ________ the length of the cube and
multiply by 6

Answers

Answer:

The word for the blank would be "square".

Step-by-step explanation:

Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.

Hope this helped!

Answer:

square

Step-by-step explanation:

the area of a cube is found by squaring the length

A tiger eats about 15 pounds of food per day. A large dogs eats about 18 ounces of food per day. How many more pounds of food does a tiger eat per day?
A) 12 3_4pounds
B) 13 1_2pounds
C) 13 7_8pounds
D) 14 1_9pounds

Answers

Answer:

B

Step-by-step explanation:

C
There are 16 ounces in a pound, so a tiger eats 240 ounces. A tiger eats 222 ounces more than a large dog, which is equal to 13 7/8 pounds.
Hope this helps!!


This square and a triangle have the same area.
8 cm
? cm
9 cm
What is the length of one side of the square??
cm

Answers

Answer:

[tex]18cm[/tex]

Step-by-step explanation:

A of triangle =

[tex] \frac{1}{2} bh[/tex]

[tex] \frac{1}{2} \times 9 \times 8[/tex]

[tex] = 36cm2[/tex]

A of square=

[tex]s2[/tex]

[tex]36 = s2[/tex]

[tex] \sqrt{36cm2} = \sqrt{s2} [/tex]

[tex]18cm = s[/tex]

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Answers

Angle 3 is 128, since they’re vertical angles. Angles 2 & 4 are 52, as 180 minus 128 is 52, and both 2 & 4 are also their own vertical angles.

So,

1 = 128
2 = 52
3 = 128
4 = 52

WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing

Answers

Answer:

Step-by-step explanation:

sorry dont know ut

I believe the answer is D

Please help me solve my problem!!!

Answers

Answer:

360°

Step-by-step explanation:

360°

Answer:

360 degrees

Step-by-step explanation:

For a polygon of n sides, the sum of the measures of the interior angles is

(n - 2)180.

A quadrilateral has 4 sides, so n = 4.

(4 - 2)(180) = 2(180) = 360

Answer: 360 degrees.

Let g be the function defined by g(x) = x3 + x. If f(x) = g-1(x) and f(2) = 1, what is the value of f ′ (2)?

Answers

Answer:

f'(2) = 1/4

Step-by-step explanation:

We know that:

g(x) = x^3 + x

and f(x) is the inverse function of g(x), such that:

f(2) = 1

this is because:

g(1) = 1^3 + 1 = 2

We want to find:

f'(2)

The general formula for this case is:

if f(x) is the inverse of g(x)

and f(x) = y

then:

f'(y) = 1/g'(x)

Then in this case,

f'(2) = 1/g'(1)

so we just need to differentiate g(x)

g'(x) = 3*x + 1

and:

g'(1) = 3*1 + 1 = 4

Then:

f'(2) = 1/g'(1) = 1/4

f'(2) = 1/4

The perimeter of the square below is 36 yards. What is the length of each side?

Answers

Answer:

A square has all its four sides equal. So the length of one side is equal to the perimeter devided by four

Answer:

9 yards

Step-by-step explanation:

A square has 4 congruent sides

Given the perimeter, the sum of the 4 sides is 36 yards, then

length of side = 36 ÷ 4 = 9 yards

what is the answer to 3x + 2(4x − 6) = 8x + 1

Answers

x = 13/3 = 4.333 !!!!!!!!!

Answer:

x=13/3

Step-by-step explanation:

Mrs. Clever rolls a number cube once.
x
1 5.
What is the probability of a 4 being on top?
A. O out of 6
B. 1 out of 6
C. 3 out of 6
D. 4 out of 6
חד
6 out of 6

Answers

Answer:

I think it would be 1 out of 6 or B.

Step-by-step explanation:

I think so because there are 6 sides to a cube and if Mrs.Clever only rolls it once then it would be 1 out of 6.

Rationalise the denominator and simplify:

7/√7

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {√7}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] =\frac{7}{ \sqrt{7} }\\ [/tex]

[tex] = \frac{7}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }\\ [/tex]

[tex] = \frac{7 \sqrt{7} }{ \sqrt{7} \times \sqrt{7} }\\ [/tex]

[tex] = \frac{7 \sqrt{7} }{7}\\ [/tex]

[tex](∵ \sqrt{a} \times \sqrt{a} = a)\\[/tex]

[tex] = √7[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

Step-by-step explanation:

Given,

7/√7

The denominator is √7.

We know that

Rationalising factor of √a is √a.

Therefore, the rationalising factor of √7 is √7.

On rationalising the denominator them

=> (7/√7) × (√7/√7)

=> 7(√7)/(√7 × 7)

=> 7√7/7.

Hence, the denominator is rationalised.

a car company reduced the amount of cars produced from 500000 to 420000. what is the percent decrease in the amount of car produced?

Answers

Decrease = 500000 - 420000 = 80000
Percent decrease = 80000 / 500000 x 100% = 16%

Use of word “amount” is irritating as in English this only used for measurements.
“Number” of cars would be better grammar.

Find the area of the triangle. Round your answer to the nearest tenth.
B
54 yd
270
А
54 yd
с
a. 742.9 yd?
b. 1,458 yd?
C. 1,323.8 yd?
d. 661.9 yd?

Answers

Answer:

here is the answer bae. Feel free to ask for more

(12 POINTS)If you can’t help out it would mean so much ty!!!

Answers

Pretty sure it’s the third one. It already says the initial height, 25 feet, so u plug that in for the third term. Although it says the initial speed of 70 miles per hour, you’re supposed to have it in feet per second as states in the first part. To turn 70 miles to feet, multiply by 5280. This gives you 369600 feet. It also needs it in seconds, not hours. So divide 369600 by 60 as there are 60 seconds in an hour. You get 6160. Plug that in for the second term and u should get the third one.

ZA and ZB are complementary angles. If m A = (2x – 13) and m
ZB = (4x - 5), then find the measure of ZB,

Answers

Answer:

43º

Step-by-step explanation:

complementary angles total 90

(2x - 13) + (4x - 5) = 90

Combine like terms

6x - 18 = 90

6x = 72

x = 12

ZB = 4x - 5

ZB = 4(12) - 5

ZB = 43º

What is the maximum number of right angles that can be contained in a
triangle?
O A. 3
OB. O
O c. 1
OD.2

Answers

Answer:

ONE...

total of three angles that add up to 180

if you had a second, that would be 180 none left for the third angle

Step-by-step explanation:

HELP!! I tried solving this and cant seem to get it right.

Answers

Answer:

x= 20

y = 10

Step-by-step explanation:

Angles 3x° and 60° are Corrosponding angles so they are equal:

[tex]3x = 60 \\ \frac{3x}{3} = \frac{60}{3} \\ x = 20[/tex]

Angles (5y-5)° and 135° are Cointerior so add to give 180°:

[tex]5y - 5 + 135 = 180 \\ 5y + 130 = 180 \\ 5y = 180 - 130 \\ \frac{5y}{5} = \frac{50}{5} \\ y = 10[/tex]

Substitute y and x into the respective formula's to get your angles.

Sandra went to the grocery store with $25 to buy fruit. If she spent $12 on apples and $8 on bananas, which set of equations could be used to find the amount of money Sandra had left?
A. 25 - 12 = 13
13 + 8 = 21
B. 25 + 13 = 38
38 - 8 = y
C. 20 - 8 = y
y + 25 = 37
D. 12 + 8 = 20
25 - 20 = y

Answers

Answer:

D

Step-by-step explanation:

She spent $12 and *$ on two separate things, meaning she spent $20 on both.

So, 12 + 8 = 20.

If she started with 25, we subtract 20 from 25 to get how much she has left.

So, 25 - 20 = y.

Therefore, the answer is D.

Answer:

D

Step-by-step explanation:

I agree with the previous answer, it's D.

Sandra spent $12  on apples and $8 on fruit, so you would add.

That's $20, so to find out how much money she has left you do 25 - 20.

Find the value of x in the isosceles triangle shown below.

Answers

x²+16=20
x²=4
x=sqrt(4)
x=2

Hope this helps!!

These trapezoids are similar. Which of the following is the correct similarity statement?

Answers

i’m sorry i can’t help l need a picture

Solve for x:
5 + 3x = 8x - 15

Answers

Answer:

4 =x

Step-by-step explanation:

5 + 3x = 8x - 15

Subtract 3x from each side

5 + 3x-3x = 8x-3x - 15

5 = 5x -15

Add 15 to each side

5+15 = 5x -15+15

20 = 5x

Divide each side by 5

20/5 = 5x/5

4 =x

A boat sails due south from a port at a steady speed of 9km/h. The wind blows the boat due west at a speed of 3km/h. How far is the boat from the port after one hour?

I need to figure this out with the formula a2 + b2 = c2
We are solving for c2 - the hypotenuse.

Answers

Answer:

10

Step-by-step explanation:

a^2+b^2=c^2

9^2+3^2=c^2

81+9=c^2

100=c^2

c=10

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