Write a Real-Word problem that is solved by an equation.

Answers

Answer 1
Two teams are playing basketball. Team 1 scored 3.5 times the number of points per basket. Team 2 scored 8 times the number of points per basket. They would have scored the same amount of points if Team 1 had scores 54 more points.
54+3.5x=8x
Subtract 3.5x from both sides to isolate the variable.
54=4.5x
divide by 4.5 on both sides
12=x
now you need to find each teams score
substitute 12 in for x
8x. 8(12) which is equal to 96.
Each teams score was 96 points. 
*since each teams score was equal, you dont have to solve for each team. You just need to solve for one. I chose the easier one to solve.

Related Questions

A cylinder shaped water tank has a diameter of 8 m and a height of 20 m. What volume of water does the tank contain when it is 60% full? Use 3.14 to approximate pi. Enter your answer as a decimal to the hundredths place in the box. m³

Answers

it holds 602.88 m3 of water :)
[tex]this \: is \: the \: for \: silinder = \pi \: {r}^{2} h \\ r = 8 \div 2 \\ \: \: \: \: \: = 4 \\ ( \frac{22}{7} \times {4}^{2} \times 20) \\ = 1005 \frac{5}{7} \\ \frac{60}{100} \times 1005 \frac{5}{7} \\ = 603 \frac{3}{7} [/tex]

insert the greater than, less than, or equal sign to make each statement true. a. 45/45_1 b. 1_6/3 c. 2/7_ 1 d. 64/23_1

Answers

A. = (45/45 = 1 = 1)

B. < (6/3 = 2 > 1.)

C. < (2/7 + 5/7 = 1.)

D. > (64/23 = 3 > 1)

Answer:

[tex]\frac{45}{45}=1[/tex]    

[tex]1<\frac{6}{3}[/tex]

[tex]\frac{2}{7}<1[/tex]

[tex]\frac{64}{23}>1[/tex]

Step-by-step explanation:

Given the statements

we have to insert the greater than, less than, or equal sign to make each statement true.

[tex]\text{Statement 1: }\frac{45}{45}?1[/tex]

[tex]\frac{45}{45}...1[/tex]

[tex]1...1[/tex]

which are equal

∴ [tex]1=1[/tex]

[tex]\text{Statement 2: }1?\frac{6}{3}[/tex]

[tex]1...\frac{6}{3}[/tex]

[tex]1...2[/tex]

2 is greater than 1

∴ [tex]1<2[/tex]

[tex]\text{Statement 3: }\frac{2}{7}?1[/tex]

[tex]\frac{2}{7}...1[/tex]

[tex]0.286...1[/tex]

1 is greater than 0.286

∴ [tex]0.286<1[/tex]

[tex]\text{Statement 4: }\frac{64}{23}?1[/tex]

[tex]\frac{64}{23}...1[/tex]

[tex]2.783...1[/tex]

2.783 is greater than 1

∴ [tex]2.783>1[/tex]

Find the distance (-2,-6), (2,-2)

Answers

the answer is radical 32 or 5.656854249

PLEASE HELP!!!

The concentration, in parts per million, of a type of antibiotic in a human's bloodstream after h hours can be modeled by the polynomial function C(h) = −0.09h2 + 3.5h + 8. What is the concentration of the antibiotic after 3 hours in parts per million to the nearest hundredths?
A) 17.69
B) 18.77
C) 38.69
D) 42.34

Answers

A) 17.69

You just substitute the h for 3

Mr. Hines was arranging desks into rows for his classroom . Mr. Hines has 20 desks in his class. Draw an array to show how Mr. Hines classroom would look if he put 5 desks in each row

Answers

There would be four rows of 5. If he added one more row of desks he would have 25 desks. 
 Each line is a desk
 
I I I I I
I I I I I
I I I I I 
I I I I I 
It would be 20 divided by 5 so the desks would be in a 5x4 arrangement

The third grade class is going on a field trip by bus to the museum. The bus leaves the school at 9: 45 am. The bus ride takes 47 minutes. At what time does the bus arrive at museum

Answers

The third-grade class is going on a field trip by bus to the museum. The bus leaves the school at 9: 45 am. The bus ride takes 47 minutes. At what time does the bus arrive at museum?
10:32 a.m.

Answer:

at 10:32

Step-by-step explanation:

I hope this will help you

algebra question
1/8m = 6 to find m

Answers

1/8 m = 6
m = 48. Hope it helps! :) If you could vote my answer as the brainiest, that would be awesome! :)
multiply both sides by 8
8*(18m)=(8)*(6)
m = 48

Answer: 48

Yadira made a wooden cone with a radius of 1.9 inches and a height of 15 inches. What is a good estimate of the volume of this cone?

Answers

1/3 x 3.14 x 1.9^2 x 15

=56.677inches3

The good estimate of the volume of the cone is 56.70 cubic inches whose radius is 1.9 inches and height of the wooden cone is 15 inches.

What is a cone?

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

Yadira made a wooden cone with a radius of 1.9 inches and a height of 15 inches therefore,

The radius of the wooden cone r = 1.9 inches

The height of the wooden cone h = 15 inches

We know the volume of a cone is given by:

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

Put the values of the r and h, we get:

   [tex]\rm V = \pi( 1.9^2) \frac{15}{3}[/tex]

V = 3.61×5×π

V = 56.70 cubic inches

Thus, the good estimate of the volume of the cone is 56.70 cubic inches whose radius is 1.9 inches and height of the wooden cone is 15 inches.

Learn more about the cone here:

brainly.com/question/16394302

Sand is stored in a shed that is 3 m long, 2 m wide, and 2 m tall. Which is the correct unit of measurement to use to figure out how much sand will fill the shed? A. m3 B. m C. m2

Answers

a: m³ is your Answer 

look at the number below
75,74,72,69,65,...
describe the pattern

Answers

The pattern is that there is a decrease in 1 between each pair of numbers given.

75 - 1 = 74 
74 - 2 = 72 
72 - 3 = 69 
69 - 4 = 65 

and so on...

I hope this helps! : )

Please Rate & Thank!

Please mark as Brainliest!

Have a wonderful day! : )

The pattern is that the numbers are decreasing in chronological increments, meaning from 75 to 74 it is decreasing by 1, 74 to 72 is decreasing by 2 and so on. I Hope that helped!! 

if Anne's age is represented by the variable (a) then.... Epress Jenny's age in terms of (a) if Jenny is 3 years less than 1/2 of Anne's age.




Express Fraz's age in terms of (a) if Fraz is twice the sum of Anne's age and 7

Answers

Jenny is 3 less than half of a, or 1/2a - 3.  Fraz is twice a + 7, or 2a+7.
Final answer:

Jenny's age in terms of Anne's age is j = (1/2)a - 3 and Fraz's age in terms of Anne's age is f = 2(a + 7).

Explanation:

To express Jenny's age in terms of Anne's age (a), we can use the information given that Jenny is 3 years less than 1/2 of Anne's age. Therefore, Jenny's age (j) can be expressed as:

j = (1/2)a - 3

To express Fraz's age in terms of Anne's age (a), we can use the information given that Fraz is twice the sum of Anne's age and 7. Therefore, Fraz's age (f) can be expressed as:

f = 2(a + 7)

Learn more about Expressions here:

https://brainly.com/question/14083225

#SPJ3

What is the area of this figure? Enter your answer in the box.

Answers

The answer is 45 cm2

Answer:

35

Step-by-step explanation:

What is the measure of angle x? m∠x

Answers

We know that the total sum of all angles in a triangle has to add up to 180 degrees. Since we know 2 out of the 3 angles, we can subtract the other two angles from 180 to solve for angle x.

x = 180 - 44 - 53 = 83 degrees

Please help!
5xy-6x2+1/2*3y

Answers

-6x2 +5xy + 3 over 2 y

Which expression is equivalent to 2 3 (3x + 9y) + 1 2 (4x - 2y)? A) x + 4y B) 8x - y C) 4x + 5y D) 2x + 5y

Answers

The correct answer is C) 4x + 5y.

We use the Distributive Property on both parts of this:

2/3(3x + 9y) + 1/2(4x - 2y)
= 2/3(3x) + 2/3(9y) + 1/2(4x) - 1/2(2y)
= 6/3x + 18/3y + 4/2x - 2/2y
= 2x + 6y + 2x - 1y

Combine like terms and we have:
4x + 5y
the correct answer is c 


What is the y-intercept of the continuous function in the table?

Answers

Final answer:

The y-intercept of a function is where the graph crosses the y-axis, represented by 'b' in the equation y = mx + b. If a table doesn't show x as zero, one can use the line of best fit by inserting the median x and y values and the slope into the formula b = y - mx to calculate the y-intercept.

Explanation:

The y-intercept of a continuous function can be understood as the point where the function's graph crosses the y-axis. It is typically represented by the variable b in the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. In the context of the problem provided, if the student is examining a table of values representing a linear relationship, they should look for the value of y when x equals zero to determine the y-intercept directly.

However, if the data does not include an x-value of zero, they could use the line of best fit to calculate the y-intercept by plugging the median x and y values, along with the determined slope, into the formula b = y - mx, where y and x are the medians. For example, if given a slope (m) of 0.09, sum of median x values as 1264, and sum of median y values as 219.5, the y-intercept (b) would be calculated as b = 219.5 - 0.09(1264), which simplifies to approximately 35.25.

This calculation would be necessary if the student is working with data that does not directly provide a scenario where x = 0, such as exam scores or years in a dataset stating from year 1. It's important to note that in some real-world applications, a y-intercept may not be meaningful if the x-value cannot be zero, like in the case of time-based data where the year 0 does not exist.

The y-intercept of the continuous function is (-2). This means that the graph of the function intersects the y-axis at the point (0,-2).

The y-intercept of a continuous function represents the point where the graph of the function intersects the y-axis. In other words, it is the value of y when x is equal to zero.

Looking at the given points:

(0,-6), (-2, 0), (-6, 0), (0,-2), and 0

We can determine the y-intercepts by identifying the points where x is equal to zero.

Let's go through the points one by one:

1. (0,-6): This point does not have a y-intercept because the x-coordinate is not zero.

2. (-2, 0): This point also does not have a y-intercept because the x-coordinate is not zero.

3. (-6, 0): Again, this point does not have a y-intercept because the x-coordinate is not zero.

4. (0,-2): Finally, this point does have a y-intercept because the x-coordinate is zero. Therefore, the y-intercept is -2.

5. 0: This is not a point, but simply the value of zero. It does not have a y-intercept because it does not represent a point on the graph.

To summarize, the y-intercept of the continuous function is (-2). This means that the graph of the function intersects the y-axis at the point (0,-2).

Fabric comes in rolls that are 60 inches wide. Draw a diagram of how you can cut the fabric from a roll that is 10 feet long. Tell me the dimensions.

Answers

Final answer:

To cut fabric from a roll that is 10 feet long and 60 inches wide, you can create strips that are 10 feet long and 60 inches wide or cut pieces that are 10 feet long and less than 60 inches wide.

Explanation:

To cut fabric from a roll that is 10 feet long and 60 inches wide, you can create strips that are 10 feet long and 60 inches wide, or you can cut pieces that are 10 feet long and less than 60 inches wide.

For example, you can divide the 60-inch width into two 30-inch wide pieces.

Dimensions: Strips: 10 feet long x 60 inches wide Pieces: 10 feet long x 30 inches wide

Which of the following describes a ratio of actual events to the number of trials in an experiment? Select all that apply. HELP ME!!

prediction
experimental probability
theoretical probability
relative frequency
trial
uniform probability model

Answers

Experiental probability is the correct choice because you will have actual data from an experiment that you are using to create the ratio of outcomes to attempts. This is the scientific and mathematical name for a tested ratio. Theoretical probability, on the other hand, is what you would expect to happen if you were to perform the test.

Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones then the last and the increase is the same number in each case. Robbie and Cameron's combined total number of scones is three sevenths of the total of Louis, Tom and Charlie. How many scones does each boy buy?

Answers

Robbie bought the smallest amount. Let's use x for that amount.
Let's use n for amount that each following customer increases.

We have:
Robbie=x
Cameron=x+n
Louis=x+n+n
Tom=x+n+n+n
Charlie=x+n+n+n+n

We know that they bought total of 60 scones.
Robbie + Cameron + Louis + Tom + Charlie = 60
x + x+n + x+n+n + x+n+n+n + x+n+n+n+n = 60
5x + 10n = 60 /:5
x + 2n = 12

We are also given this information:
(Robbie + Cameron) = 3/7 * (Louis + Tom + Charlie)
We insert the equations from above:
(x + x+n) = 3/7 * (x+n+n + x+n+n+n + x+n+n+n+n) 
2x + n = 3/7 * (3x + 9n) /*7
14x + 7n = 3* (3x + 9n)
14x +7n = 9x + 27n
We take everything on the left side.
14x + 7n - 9x - 27n = 0
5x - 20n = 0/:5
x - 4n = 0

Now we have two equations:
x + 2n = 12
x - 4n = 0
We solve second one for x and insert it into first one.
x + 2n = 12
x = 4n

4n + 2n =12
6n = 12 /:6
n = 2
x=4*2
x=8


Now we can solve for the amount for each customer.
Robbie=x = 8
Cameron=x+n = 8 + 2 = 10
Louis=x+n+n = 8 + 2 + 2 = 12
Tom=x+n+n+n = 8 + 2 + 2 + 2 = 14
Charlie=x+n+n+n+n = 8 + 2 + 2 + 2 + 2 = 16

write 27% percent as a fraction in its simplist form

Answers

The fraction in its simplest form is 27/100 .
The answer is 27/100

hey does anyone know this
the volume of a cone is 27 pi cm cubed
and the radius is 3 cm
what is the height of the cone

Answers

- Use the formula V = π ∙ r2 ∙ h.
- Plug into the equation. 27π(cubed)=π∙3(2)∙h
-Solve. 27π(3)=9π∙h
27π/9π=3π
I believe the height is 3π.
Hope this helps

PLEASE HELP = simplify 3/4(-10+2/5)

Answers

There are many ways to do this depending on the property you have to use:

If you use the distributive property, you need to distribute 3/4 to -10 and 2/5. Distribute means you will multiply it so your resulting equation will be this:

[tex] \frac{-30}{4} - \frac{6}{20} [/tex]

Before you can add, you need to first make them like terms because you cannot add unlike fractions. Get the LCD and form your new equation:

[tex] \frac{-150+6}{20} [/tex]

Now you can just add them together to get:
[tex] \frac{-144}{20} [/tex]

and then simplify your fraction:
[tex] \frac{-36}{5} [/tex] or - [tex] \frac{36}{5} [/tex] 

The whole fraction becomes negative because when you divide integers and of them is negative, the final answer will be negative.

Answer:-7.2

Step-by-step explanation: -10+2/5 = -9.6 than -9.6 x 3/4 = 7.2  

Subtract 1/4 w + 4 from 1/2 w +3
A: 1/4 w + 7
B: 1/4 w -1
C: -1/4 w +1
D: -1/4 w +7

Answers

(1/2w+3) - (1/4w+4)

everything in second parentheses becomes negative
=1/2w+3 -1/4w - 4

combine like terms
=1/2w-1/4w+3-4

=1/4w-1

ANSWER: B) 1/4w-1

Hope this helps! :)

Ben has Type 180 word in can type 30 words per minute. Millie has Type 60 words and can type 50 word per minute. How many minutes will it take Millie to catch up with Ben?

Answers

6 minutes.
If x= minutes,
180+30x=60+50x
120=20x
6=x
How many words they have already typed is their starting/ y intercept. Their words per minute is their rate. We need their equations to equal themselves so we can find when they are the same. X will be the amount of minutes and we need X by itself.
180+30x=60+50x
Now let’s subtract 60 from each side.
120+30x=50x
Let’s subtract 30x from each side.
120=20x
Let’s divide each side by 20.
6=x
It will take 6 minutes for Millie to catch up with Ben.

State whether the y-values are increasing ,decreasing,or neither as x increases for problem y=1.5x

Answers

The y-values are increasing, as x increases in this problem.

Mrs. Darnell is going to visit her cousins in Mexico over her summer vacation. She will be gone for one month and fifteen days. She leaves on June 19th. When does she return?

A. July 19
B. July 20
C. August 3
D. August 4

Answers

the correct answer is c. august 3

Archie went to an arcade to play video games he paid $2 for every 11 tokens he bought he spent a total of $16 on tokens which equation can be used to determine t the number of tokens Fred bought

Answers

The answer would be 88 tokens, because 16 divided by 2 is 8. So, 11 times 8 is 88. I hope this helps:)

($16 / $2) x 11 tokens = 88 tokens

What is the solution of the system use a graph.
Y=2x+1
Y=-3x-1
Can anybody graph this and show me a picture ?

Answers

As you can see, this is easily graphed on desmos.com. You can also graph it using your graphing calculator.

The solution is (x, y) = (-2/5, 1/5)

Scientists determined that Antarctica’s average winter temperature was -34.44 The difference between this temperature and Antarctica’s highest recorded temperature was 49.44 degrees. What was Antarctica’s highest recorded temperature

Answers

-34.44 +49.44 = 15

The highest recorded temperature was 15 degrees.

Can anyone explain this to me??

Answers

I don't quite get the question but if you're looking for the area then it's 42.
divide each part of the carpet in to reasonable pieces and then calculate the area for each shape and add them together therefore the answer would be 51
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