Parkside High School was having a talent show to raise money. It was x dollars for adults and $8 for students. Stephanie's family had 4 adults and 1 student. Her family paid $48 to see the show. Write an equation for the word problem. Use the variable x and leave no spaces.

Answers

Answer 1

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

Given

$x per adult

$8 per student

Population:

[tex]Students = 1[/tex]

[tex]Adults = 4[/tex]

[tex]Total = \$48[/tex]

Required

Determine the equation and solve for x

The system can be analyzed as thus:

The cost for 4 adults is: 4 * x

The cost for 1 students is: 8 * 1

Total Amount is: 48

From the analysis above, the equation is:

[tex]4 * x + 8 * 1 = 48[/tex]

[tex]4 x + 8 = 48[/tex]

Subtract 8 from both sides

[tex]4 x + 8 -8= 48 - 8[/tex]

[tex]4 x= 40[/tex]

Solve for x

[tex]x = 40/4[/tex]

[tex]x = 10[/tex]


Related Questions

Write 45 as a product of primes. Use index notation when giving your answer.

Answers

Answer:

9*5=45

3*3*5=45

Therefore:

3^2 *5 = 45

i hope this helps :)

which statement is true ​

Answers

Answer:

the answer is B that is

ΔABC is similar to ΔEDC

Step-by-step explanation:

look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.

moreover, c is at the last in abc just like in edc

ILL MARK AS BRAINLESS PLS HELP

Answers

Answer:

5765/574

Step-by-step explanation:

there u go lol

What are the factors of 10x^3+24x^2+14x

Answers

Answer:

2x(x+1)(5x+7)

Step-by-step explanation:

10x^3+24^2+14

2(5x^3+12x+7)

2x(5x^2+12x+7)

2x(x+1)(5x+7)

2x(2x+1)(5x+7)

PLEASE HELLPPPPP

A population, P, of birds is doubling in size every year, according to the model P=100(2^t), where T represents years. What was the initial population size? Show work.

Answers

Answer: The above Table 1 will calculate the population size (N) after a certain length of time (t). All you need to do is plug in the initial population number (No), the growth rate (r) and the length of time (t). The constant (e) is already entered into the equation. It stands for the base of the natural logarithms (approximately 2.71828). Growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. For humans, population growth rate is based on one year. If a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent. Another way to show this natural growth rate is to subtract the death rate from the birth rate during one year and convert this into a percentage. If the birth rate during one year is 52 per 1000 and the death rate is 12 per 1000, then the annual growth of this population is 52 - 12 = 40 per 1000. The natural growth rate for this population is 40/1000 x 100 = 4%. It is called natural growth rate because it is based on birth rate and death rate only, not on immigration or emigration. The growth rate for bacterial colonies is expressed in minutes, because bacteria can divide asexually and double their total number every 20 minutes. In the case of wolffia (the world's smallest flowering plant and Mr. Wolffia's favorite organism), population growth is expressed in days or hours.

Each wolffia plant is shaped like a microscopic green football with a flat top. An average individual plant of the Asian species W. globosa, or the equally minute Australian species W. angusta, is small enough to pass through the eye of an ordinary sewing needle, and 5,000 plants could easily fit into thimble.

See Straight Pin & Sewing Needle Used In Wayne's Word Articles

There are more than 230,000 species of described flowering plants in the world, and they range in size from diminutive alpine daisies only a few inches tall to massive eucalyptus trees in Australia over 300 feet (100 m) tall. But the undisputed world's smallest flowering plants belong to the genus Wolffia, minute rootless plants that float at the surface of quiet streams and ponds. Two of the smallest species are the Asian W. globosa and the Australian W. angusta. An average individual plant is 0.6 mm long (1/42 of an inch) and 0.3 mm wide (1/85th of an inch). It weighs about 150 micrograms (1/190,000 of an ounce), or the approximate weight of 2-3 grains of table salt. One plant is 165,000 times shorter than the tallest Australian eucalyptus (Eucalyptus regnans) and seven trillion times lighter than the most massive giant sequoia (Sequoiadendron giganteum).

See Photo Of Massive Giant Sequoia Tree

See Photo Of The Australian Wolffia angusta

See Photo Of The Indian Wolffia microscopica

See Additional Color Images Of Wolffia Species

The growth rate for Wolffia microscopica may be calculated from its doubling time of 30 hours = 1.25 days. In the above population growth equation (N = Noe rt), when rt = .695 the original starting population (No) will double. Therefore a simple equation (rt = .695) can be used to solve for r and t. The growth rate (r) can be determined by simply dividing .695 by t (r = .695 /t). Since the doubling time (t) for Wolffia microscopica is 1.25 days, the growth rate (r) is .695/1.25 x 100 = 56 percent. Try plugging in the following numbers into the above table: No = 1, r = 56 and t = 16. Note: When using a calculator, the value for r should always be expressed as a decimal rather than a percent. The total number of wolffia plants after 16 days is 7,785. This exponential growth is shown in the following graph where population size (Y-axis) is compared with time in days (X-axis). Exponential growth produces a characteristic J-shaped curve because the population keeps on doubling until it gradually curves upward into a very steep incline. If the graph were plotted logarithmically rather than exponentially, it would assume a straight line extending upward from left to right.

Sixteen days of exponential growth in Wolffia microscopica.

Wolffia plants have the fastest population growth rate of any member of the kingdom Plantae. Under optimal conditions, a single plant of the Indian species Wolffia microscopica may reproduce vegetatively by budding every 30 hours. One minute plant could mathematically give rise to one nonillion plants or 1 x 1030 (one followed by 30 zeros) in about four months, with a spherical volume roughly equivalent to the size of the planet earth! Note: This is purely a mathematical projection and in reality could never happen!

Step-by-step explanation:

Can someone put this into slope intercept form?

4x + y *insert greater than or equal to sign here* 2

i’ll give brainliest to first person with an actual answer

(20 point question)

Answers

Answer:

y>=-4x+2

Step-by-step explanation:

Answer:

Greater than 2

Step-by-step explanation:

Have trust

What is the solution to the system of equations below?
Y= -1/3x +6 and x=-6

O (-6, 8).
O (-6, 4).
O (8, -6).
O (4, -6)

Answers

Answer:

O (8, -6)

Step-by-step explanation:

brainiest plz

Answer:

(-6,8)

Step-by-step explanation:

Have a good day

Branliest! Please I'm beggin you! Help me!!!


The lunch lady has 5 pounds of lasagna left over. If she makes 14-pound servings, how many servings of lasagna can she serve with the amount left over?The lunch lady has 5 pounds of lasagna left over. If she makes 14-pound servings, how many servings of lasagna can she serve with the amount left over?

Answers

Answer:

How does she make 14 pound servings with 5 pounds ?

Answer:

4/5

Step-by-step explanation:

cus i said so

whoever answers the question first and right will get brainly

Answers

Answer:

b

Step-by-step explanation:

why functions are multiplied,

Answers

Answer:

Dividing two functions works in a similar way.

Step-by-step explanation:

What is the domain of the function represented by the graph?

Answers

Your answer will be B
I’m positive the answer is B!

PLEASE ANSWER! 15 POINTS

Answers

Answer: 13/15

Step-by-step explanation:

1/5 + 2/3 = 13/15. Since 13/15 can’t be simplified, that’s your answer.

A scale factor of 5 was applied to a triangle. What would be the new length of the height and width of the triangle?

Answers

Answer:

haaaahhhhhhhhhaaaaaa

Step-by-step explanation:

Help please true or false?

Answers

False true I am really sry if a m wrong

Can someone help me really quick!?

Answers

Answer:

Yes its 2nd, 4th, and 5th

Step-by-step explanation:

y=10x+6, what is the y intercept?

Answers

Answer:

6

Step-by-step explanation:

I hope this helps :)

6

Because

y = 10x + 6
y = 10(0) + 6
y = 0 + 6
y = 6

Hopefully, I helped you!!!

The following are the last 10 run scores Colin got in cricket:
32, 2, 0, 25, 34, 24, 6, 23, 17, 34
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 23 runs.
What is his new mean score?
Give your answers as decimals.

Answers

Given :  last 10 run scores Colin got in cricket: 1, 16, 5, 25, 26, 32, 5, 7, 1, 7  

Colin plays cricket again on Sunday. He gets 29 runs.

To find : a) Work out Colin's mean score.

b) What is his new mean score

Solution:

last 10 run scores Colin got in cricket

1, 16, 5, 25, 26, 32, 5, 7, 1, 7

Total Score = 1 + 16 + 5 + 25 + 26 + 32 + 5 + 7 + 1 + 7  = 125

Total Innings = 10

Mean Score = 125/10  = 12.5

Colin plays cricket again on Sunday. He gets 29 runs.

=> New Total Score   = 125 + 29 = 154

New Total Innings   = 10 + 1 = 11

New Mean Score    = 154/11  = 14

Mean Score = 12.5

New Mean Score  = 14

Hope this helps! ;)

Answer:

The following are the last 10 run scores Colin got in cricket:

32, 2, 0, 25, 34, 24, 6, 23, 17, 34

a) Work out Colin's mean score.

b) Colin plays cricket again on Sunday. He gets 23 runs.

What is his new mean score?

Give your answers as decimals.

Step-by-step explanation:

z = -400i - 44.5
What is the imaginary part of z?

Answers

Answer:

-400i

General Formulas and Concepts:

Algebra II

Complex Form: a + bi

Step-by-step explanation:

Step 1: Define

z = -400i - 44.5

Step 2: Identify

Treat imaginary i as a variable. The imaginary part of z would be the entire term of i. Therefore, our answer is -400i

Sapphire and Abe are shelving books at a public library. Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved.

Answers

Answer: 36

Step-by-step explanation:

Given:  Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time.

If they end up shelving the same number of books, what is the smallest number of books each could have shelved = LCM (12,18)

12 = 2 x 2 x 3

18 = 2 x 3 x 3

LCM (12, 18) = 2 x 2 x 3 x 3 = 36

Hence, the smallest number of books each could have shelved = 36

Answer:

36

Step-by-step explanation:

nrly

50 POINTS!!! If you’re a frequent flyer who travels to many different airports, and you have a choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?

Answers

Answer:

Southwest

Step-by-step explanation:

Southwest always has good timing.

Answer:

SouthWest airlines

Step-by-step explanation:

It is the best Airlines and will always arrive on time

What is the value of n that would make the following radical expression true?

[tex]\sqrt[n]{1000x^{5} } y^{7} =10xy^{2} \sqrt[n]{x^{2}y }[/tex]

n=?

Answers

Answer: 3

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

dont remember exactly how we did it in class but went through this question

one of u guys helped me but they keep returning it saying show your work>:(​

Answers

Answer:

36

Step-by-step explanation:

16*2 = 32

16*1/4 = 4

32+4 = 36

Answer:  She will need 36 yards of material.

Step-by-step explanation:

16 × 2¹/₄ can be done different ways,

First multiply ¹/₄ times 16. that is the same as dividing 16/4 = 4

Then multiply 2 times 16  2×16 = 32

Add 32 + 4 = 36

Another way is to change 2¹/₄ to an improper fraction and multiply

⁹/₄ × 16

   16

  ×9

   54  

+9  

 144

 

144/4 = 36

[Shapes]
How many degrees is ZA’BC in this cube?
please help me i don't understand​

Answers

yeah same idekkk but obviously each side is 90 degrees bc it’s a 90 degree angle

Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled how could tristansrun be represented as a fraction and decimal of the whole football field

Answers

Answer:

As a fraction = [tex]\dfrac{30}{100}[/tex]

As a decimal = 0.3

Step-by-step explanation:

Recall that: The total yard of a football field = 100 yards

Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,

As a fraction;

Tristan run can be represented as = number of run from goal-line/ total length of the field

= [tex]\dfrac{30}{100}[/tex]

As a decimal= 0.3

Write 41/10 as a fraction

Answers

Answer:

41/10

Step-by-step explanation:

Answer:

Based on what you asked i think the answer would be 4 1/10

Step-by-step explanation:

how do you graph this
y-2x=0
y=4x+3

Answers

Answer:

Step-by-step explanation:

those are 2 lines, and to graph them find 2 points for each to draw a line trough them

line 1

y-2x=0 so y=2x

pick any value for x

(x=1, y=2*1=2), (x=3, y=2*3=6)

Draw a line trough points (1,2) and (3,6)

line 2

y=4x+3

(x=1, y=4*1+3=7), (x= -1, y= 4(-1)+3= -1)

Draw a line trough points (1,7) and (-1, -1)

Henry rode his motorcycle from his house to a friend's house. After riding 10 miles, he realizes he has traveled 2/3 of the way. How far is Bob's house from his friend's house?
A. 20 miles
B. 15 miles
C. 12 miles
D. 25 miles​

Answers

Step-by-step explanation:

2/3 of diatance = 10 miles

3/3 of distance = 10 * (3/2) = 15 miles.

The distance between the houses is 15 miles. (B)

Let the total distance covered= x

Distance covered= 10 miles

According to the question,

2/3 of x= 10

=> 2/3 × x= 10

=> 2x/3= 10

=> 2x= 10× 3

=> 2x= 30

=> x= 30/2

=> x= 15

Bob's house is 15 miles away from Henry's house.

The sum of the digits of a two digit number is 10. If 36 is subtracted from the number, the digit interchange their places Find the number​

Answers

Step-by-step explanation:

Let A be the tens digit of the number and B be the ones digit.

We have A + B = 10 and 10A + B - 36 = 10B + A.

=> A + B = 10 and 9A - 36 = 9B

=> A + B = 10 and A - 4 = B

=> A + B = 10 and A - B = 4

Therefore 2A = 10 + 4 = 14,

A = 7 and B = 10 - 7 = 3.

Hence the number is 73.

Solve for s.



12s=72




s = 17

s = 27

s = 3

s = 7

Answers

Answer: s = 6

Step-by-step explanation:

just simply divide both sides.

12s / 12 = 72 / 12

s = 6

S=6 because 6 x 12 = 72
6 x 10 = 60
6 x 2 = 12
60 + 12 = 72

£800 is invested for 3 years at 2% simple interest per year. work out the total interest.

show working out pls I will mark the brainest ​

Answers

Answer:

848.97

Step-by-step explanation:

[tex]800(1 \ + \frac{2}{100} ) {}^{3} [/tex]

= 848.9664

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