Mathematics College

Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $42, then how many games did Shakira bowl?

Answers

Answer 1

x = # of games playing

4.75x + 3 = 42
4.75x = 39
x = 39 /4.75
x = 8.21

answer
Shakira played about 8 games

Answer 2

Shakira bowls about 8 games.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

Let Shakira bowl x games.

Since Shakira has to pay $4.75 for each game, she would pay $4.75x for x games.

Shakira also paid $3 to rent shoes, therefore, the total money Shakira spent is:

4.75x + 3

Given that, the total spent is $42, therefore,

4.75x + 3 = 42

4.75x = 42 - 3

4.75x = 39

x = 39/4.75

x ≈ 8

Hence, Shakira bowls about 8 games.

Learn more about equations here:

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Related Questions

If n + 3 = 13, then n = 4.33333... B

Answers

Solve the equation, N=13-3=10

If the length between points on a map is 6 inches, 8 inches, and 9 inches, and the scale is one inch equals 5 miles, find the distances in miles.

a.) 1.2, 1.6, and 1.8 miles
b.) 11, 13, and 14 miles
c.) 30, 40 and 45 miles

Answers

c) because you multiply the conversion by the number of inches. Therefore, 6x5=30, 8*5=40, and 9*5=45

Answer:

Option c is correct

Distance in miles are; 30, 40, 45 miles

Step-by-step explanation:

As per the statement:

If the length between points on a map is 6 inches, 8 inches, and 9 inches.

It is also given that:

1 in. = 5 miles

We have to find the distance in miles:

For 6 inches.

1 in. = 5 miles

6 in. = [tex]6 \cdot 5 = 30[/tex] miles

Similarly, for 8 inches:

8 inches = [tex]8 \cdot 5 = 40[/tex] miles

For 9 inches:

9 inches = [tex]9 \cdot 5 = 45[/tex] miles

Therefore, distance in miles are; 30, 40, 45 miles

The Leukemia and Lymphoma Society sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.

Answers

The goal for the 5K charity race is to raise 55, 000. The charity makes 40.00 for every entry. Additionally , the charity received 10,000 dollars in donations which brings the amount needed to 45,000 . They would need 1,125 entries to make their goal.

match the top cards to the bottom cards to show doubles plus 1

Answers

This question is all about doubles. The given bottom cards 5 2 3 4 and the top cards are 1 4 3 2.

The problem is asking to match the top cards to the bottom ones then adding 1 to get the doubles.

So 1 should be corresponding to two. Since 1 + 1 = 2

4 should be corresponding to 5. Since 4 + 1 = 5

3 should be corresponding to 4. Since 3 + 1 = 4

And lastly, 2 should be corresponding to 3. Since 2 + 1 = 3

Smith High School offers a baseball camp that is $75 for 4 days of camp and a basketball camp that is $100 for 5 days of camp. Which camp is a better deal and by how much?

Answers

For the baseball camp, you would be paying $18.75 per day. For the basketball camp, you would be paying $20 per day. Judging by the prices, you would be more likely to have a better price for the baseball camp by 1.25. Yes, it isn't that much, but it's still worth it. Hope it helped!

Can u simplify and convert these please and thank you

Answers

5 free points just claimed. thx :D

During the 1998-1999 Junior Hockey League season, the Sharks played 66 games. Together, their wins and losses totaled 59. They tied 14 fewer games than they lost. How many games did they win that season?

Answers

We make [tex]w[/tex] an integer that represents the Sharks' wins, [tex]l[/tex] represent the losses, and [tex]t[/tex] represent the ties.

We know that [tex]w+l+t=66[/tex], [tex]w+l=59[/tex], and [tex]t+14=l[/tex].

We subtract the first two equations, to get [tex]t=7[/tex]. If we plug this into the third equation, we get [tex]l=21[/tex].

We plug this into the first equation and get [tex](w)+(21)+(7)=66[/tex]. Simplifying, we find that [tex]w=\boxed{38\text{ games}}[/tex].

Find factors of 15y^2-50y+35=

Answers

First, factor out the common factor 5.

15y^2-50y+35 =

= 5(3y^2 - 10y + 7)

Now we need to factor the trinomial.
3 can be factored as 3 * 1
7 can be factored as 1 * 7 or (-1) * (-7)
Since the middle term is negative, we need to use -1 and -7 as the factors of 7

= 5(3y - 7)(y - 1)

I would first factor out that 5: 15y^2-50y+35 = 5(3y^2 - 10y + 7)
and then focus on factoring 3y^2 - 10y + 7. Looking at the first and last coefficients 3 and 7, I'd form possible rational roots, which would include 7/3 and -7/3.

Using synthetic division, I'd determine whether either 7/3 or -7/3 is a root of 3y^2 - 10y + 7:

____________
(7/3) / 3 -10 7
7 -7
--------------------
3 -3 0

Since there is no remainder, I'd conclude that 7/3 is a root of 3y^2 - 10y + 7, and that (3x-7) is a factor. Look at the coefficients 3 -3; they tell us that (3x-3) is another factor.

Now let's take back that '5' we factored out earlier.

Factors of 15y^2 - 50y + 35 are 5, (3x-7) and (x-1).

Multiply these 3 factors together as a check. I found that (3x-7)(x-1) comes out to 3x^2 - 10x + 7, and that multiplying this by 5 produces

15y^2 - 50y + 35, which is the expression we started with.

Bank get most of the money to loan out to people from
A taxes charged by banks
B the government
C other banks
D people that deposit money in the bank for safekeeping

Answers

correct answer: "D people that deposit money in the bank for safekeeping"

The bank uses people's savings to loan money. They usually keep a fraction of what they have in store in case the person that has the money in the bank ask it back. For example, if $5000 are deposited in the bank, for savings, the bank could lend out $4500 of it.
The taxes charged by banks are used for the bank keeping.

Answer:

D!!

Step-by-step explanation:

Rachel bought a book for $5.49 And a game for $10.98. She paid with a $20 bill. Which is the best estimate of the amount of change she should receive?

Answers

Rachel will have about $3.53 in change---------

So,
We can round 10.98 to 11
We can round 5.49 to 5.50
11+5.50 = 16.50
20 - 16.50 = 3.5
So, the estimate of the amount of change Rachel would receive is $3.50.

A towns election commitee expects 5 out of every 7 registered voters to vote in the next

Answers

Where is the rest of the problem?

What is the equation of the line in standard form? (-3, 1) (3, 2)

Answers

Final answer:

The equation of the line passing through the points (-3, 1) and (3, 2) in standard form is (1/6)x - y = 5/6.

Explanation:

The equation of a line in standard form is Ax + By = C, where A, B, and C are constants. To find the equation of the line passing through the points (-3, 1) and (3, 2), we need to find the values of A, B, and C.

To do this, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept. First, let's find the slope using the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

m = (2 - 1) / (3 - (-3)) = 1/6

Now, we can substitute the slope (m) and one of the given points (x, y) into the slope-intercept form to find the y-intercept (b). Using (-3, 1) as the point:

1 = (1/6)(-3) + b

Simplifying, we get:

b = 5/6

Now, we can substitute the values of m and b into the standard form equation to get:

(1/6)x - y = 5/6

What is the distributive property of 27 + 60

Answers

You could distribute them by 60 ( 27+30+27+30) or by 27 (60+20+7)

Hoped it helped! :)

There are 130 calories in a cup of whole milk and only 74 in a cup of skim milk. In switching to skim milk, find the percent decrease in number of calories.

Answers

Do 130 divided by 74 and you will probably get 1.74 and round it off

Write a real-life situation that can be modeled by the expression 5 x 3/4

3/4 is a fraction

Answers

Hello there! You can do something like this:
Kelly has 3/4 cup of a bottle of water. She likes to drink 5 times the amount of that every day. How many cups of water does Kelly like to drink every day?
Hope this helped you!
Good luck!

Bob has
3/4 cup of flour but he would need to use it 5 times this week..
How many cups of flour would Bob need each day?

What is X+.07x=44.94

Answers

X+.07x=44.94
Combine like terms.
1.07x=44.94
Divide both sides by 1.07 to isolate the variable.
x=42

There are 912 yellow chairs and blue chairs altogether in an auditorium. The blue chairs are arranged in 36 rows with 12 chairs in each row. The yellow chair are arranged in rows of 20. How man rows of yellow chairs are there?

Answers

You would do 36X12= 432 then 912 - 432=480. then you would 480÷20=24. So there are 24 rows of yellow chairs

First you have to do 36 times 12 which is 432, then subtract that from the total which is 480 then divide that by 20 and you get 24. Plz give this a thanks

What is a solution to (x + 6)(x + 2) = 60?

A. x = −6
B. x = −4
C. x = 4
D. x = 12

Answers

THE SOLUTION FOR THIS QUESTINS WILL BE
X=4, -12

D.x=12 this is your answer

which expression would give the thirteenth term Given the sequence 8, 16, 32, 64, ...,
813
8 · 213
8 · 212 ? 813 8 · 213 8 · 212

Answers

if you notice, 8, 16, 32, 64 <--- 8 * 2 is 16, 16 * 2 is 32 and so on.

so, you get the next term's value by simply multiplying the "current term" by 2. So is a geometric sequence then.

therefore, the "common ratio" or multiplier is 2, and the first term's value is 8.

[tex]\bf n^{th}\textit{ term of a geometric sequence}\\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1\\ n=13 \end{cases} \\\\\\ a_{13}=8\cdot 2^{13-1}\implies a_{13}=8\cdot 2^{12}\implies a_{13}=8\cdot 4096 \\\\\\ a_{13}=32768[/tex]

Kesha sharpened 4 colors of pencils for her teacher. She sharpened equal amounts of red and green pencils. Then she sharpened twice as many blue and yellow pencils in equal amounts. How many of the 42 pencils were yellow?

Answers

Variables are taken from the first letter of the color, ex: green = g.

Given:
r = g
2r = b = y
Total =42

So then:
r+ r + 2r + 2r = 42
6r = 42
r = 7

y = 2r
y = 2(7)
14 of the 42 pencils were yellow.

Answer:

Step-by-sstep explanation:

(−5k
3
−6k+1)+(−6k
2
+5k)

Answers

Remove unnecessary parenthesis.

-5k 3 - 6k +1 - 6k 2 + 5k (simplify each term) -15k - 6k + 1 - 12k +5k = -28k +1

Answer: 28k + 1

Step-by-step explanation:

−5k

−6k

−k+1

A rumour spreads exponentially through a college. 100 people have heard it by noon, and 200 by 1 p.m. How many people have heard it (a) by 3 p.m., (b) by 12.30 p.m., (c) by 1.45 p.rn.?

Answers

a) people have heard it by 3 p.m is 800 people

b) people have heard it by 12.30 p.m is 141 people

c) people have heard it by 1.45 p.m is 530 people

Let's analyze this rumor spread problem. Each person who hears the rumor is assumed to spread it to exactly two other people.

a) By 3 p.m.: The rumor spreads for 3 hours after noon. Starting with 100 people at noon, by 3 p.m. it would be 100 * 2^3 = 100 * 8 = 800 people.

b) By 12:30 p.m.: The rumor spreads for half an hour after noon. That's 30 minutes or 0.5 hours. Since the rumor spreads exponentially, in half an hour, the number of people who hear it doubles once. So, by 12:30 p.m., it would be 100 * 2^0.5 = 100 * √2 ≈ 100 * 1.41 ≈ 141 people.

c) By 1:45 p.m.: The rumor spreads for 1 hour and 45 minutes after noon, which is 1.75 hours. So, by 1:45 p.m., it would be 100 * 2^1.75 ≈ 100 * 5.3 ≈ 530 people.

In summary:

a) 800 people

b) 141 people

c) 530 people

the difference of a given month's rainfall from the average monthly rainfall is called the deviation. What is the deviation for each month shown?
average monthly rainfall 3.6
given month may 2 3/5; june 7/8; July 4 1/4

Answers

If you add all of them up you will get 43/2

Answer:

Deviation:

may : 1

june: 0.875

july: 0.65

Step-by-step explanation:

It's given that the difference of a given month's rainfall from the average monthly rainfall is called the deviation .

To find : deviation for each month: may 2 3/5; june 7/8; July 4 1/4:

Solution :

Average monthly rainfall = 3.6

Rainfall in may = [tex]2\frac{3}{5}[/tex] = 2.6

Deviation = Average monthly rainfall - month's rainfall ( may ) = 3.6 - 2.6 = 1

Rainfall in june = 3.6 - 0.875 = [tex]\frac{7}{8}=2.725[/tex]

Deviation = Average monthly rainfall - month's rainfall ( june ) = 0.875

Rainfall in july = [tex]4\tfrac{1}{4}=\frac{17}{4}=4.25[/tex]

Deviation = Average monthly rainfall - month's rainfall ( july ) = 4.25 - 3.6 = 0.65

Consider two identical iron nails: one nail is heated to 95 °c, the other is cooled to 15 °c. the two nails are placed in a coffee cup calorimeter and the system is allowed to come to thermal equilibrium. what is the final temperature of the two nails

Answers

Final answer:

In this case, the final temperature of the two nails will be an average of their initial temperatures, which is 55 °C.

Explanation:

When two objects at different temperatures come into contact, heat is transferred from the object with higher temperature to the object with lower temperature until they reach thermal equilibrium.

In this case, the heated iron nail at 95 °C will transfer heat to the cooled iron nail at 15 °C when they are placed in the coffee cup calorimeter.

The final temperature of the two nails will be an average of their initial temperatures, which is (95 °C + 15 °C) / 2 = 55 °C.

Ted used a $150 check to pay for some books. Where in his checkbook register should he write this amount? in the PAYMENT or WITHDRAWAL AMOUNT column in the DEPOSIT AMOUNT column in the BALANCE column in the FEE column NextReset

Answers

I would think that the answer would be the payment column. It wouldn't be the withdrawal amount column because he is not taking the money out of a bank account.

Answer:

Ted should write the amount in the PAYMENT column of the checkbook register.

Step-by-step explanation:

When we want to withdraw money from the account then we need to mention the amount in the WITHDRAWAL column of the checkbook register.

When we want to deposit money to the account then we need to mention the amount in the DEPOSIT column of the checkbook register.

When we want to pay money to the someone else's account then we need to mention the amount in the PAYMENT column of the checkbook register.

So, Ted must write the amount in the PAYMENT column of the checkbook register.

Merritt is driving to mount Shasta. On her map, she is a distance of 7.75 inches away. The scale on the map is .5 inch = 50 Miles. How far must Merritt travel to reach her destination?

Answers

193.75 miles cause 7.75 * .5 = 3.875 and 3.875* 50 = 193.75

The repeating decimal, 0.27..., is converted to the fraction 0.27..=3/x

what is the value for x in the fraction

Answers

i think the answer to your question is 11.11 I hope this helps

Answer:

The required number in the fraction is x=11

Step-by-step explanation:

Given : The repeating decimal, 0.27..., is converted to the fraction [tex]0.27....=\frac{3}{x}[/tex]

To find : What is the value for x in the fraction ?

Solution :

Let [tex]y=0.272727...[/tex] ....(1)

Multiply both side by 100,

[tex]100y=27.2727...[/tex] .....(2)

Subtract (1) and (2),

[tex]100y-y=(27.2727....)-(0.272727...)[/tex]

[tex]99y=27[/tex]

[tex]y=\frac{27}{99}[/tex]

[tex]y=\frac{3}{11}[/tex]

On comparing with [tex]0.27....=\frac{3}{x}[/tex]

The value of x is 11.

Therefore, The required number in the fraction is x=11.

Write 7.085 × 10-14 as an ordinary number 0.000 000 000 007 085 0.000 000 000 000 708 5 0.000 000 000 000 0708 5 0.000 000 000 000 0070 85

Answers

7.085x10-14 would simplify to 70.85-14, which equals 56.85

The ordinary number for the given Scientific notation is 0.00000000000007085.

Given that, [tex]7.085\times10^{-14}[/tex].

What is scientific notation?

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.57\times10^7[/tex].

The given number can be written as [tex]\frac{7.085}{10^{14}}[/tex]

= 0.00000000000007085

Therefore, the ordinary number for the given Scientific notation is 0.00000000000007085.

To learn more about the Scientific notation visit:

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Which shows the expressions in the order they would appear on a number line from least to greatest?

17 over 9, square root of 6, square root of 15, square root of 30, 3 to the power of 3

3 to the power of 3, square root of 30, square root of 15, square root of 6, 17 over 9

3 to the power of 3, square root of 6, square root of 15, 17 over 9, square root of 30

17 over 9, square root of 30, square root of 15, 3 to the power of 3, square root of 6
SOMEONE PLEASE HELP!!

Answers

[tex] \frac{17}{9} =1.888888889 [/tex]
[tex] \sqrt{6} =2.449489743[/tex]
[tex] \sqrt{30}=5.477225575[/tex]
[tex] 3^{3}=27 [/tex]

Answer:

Step-by-step explanation:

A jar holds 128 fluid ounces of juice. The label says the jar has 16 servings. How many fluid ounces are needed for 80 servings?

Answers

There are 16 servings for each 128 fluid ounces of juice.

Divide 80 servings by 16 servings, and 5 should be the quotient. Therefore, there are 5 jars of juice. Multiply 128 by 5 since 128 fluid ounces are in one jar. The answer should be 640 fluid ounces.

Answer: 640 fluid ounces

Step-by-step explanation:

We assume that the fluid ounces in jar is directly proportional to the number of servings.

Given : A jar holds 128 fluid ounces of juice. The label says the jar has 16 servings.

Ratio of fluid ounces of juice to number of servings =[tex]\dfrac{128}{16}[/tex] (1)

Let x denotes the fluid ounces are needed for 80 servings.

Ratio of fluid ounces of juice to number of servings =[tex]\dfrac{x}{80}[/tex] (2)

From (1) and (2) , we have

[tex]\dfrac{x}{80}=\dfrac{128}{16}[/tex] [in direct variation ration remains constant.]

[tex]x=\dfrac{128\times80}{16}=640[/tex]

Hence, 640 fluid ounces are needed for 80 servings.

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