Mathematics Middle School

The thickness of a surfboard relates to the weight of the surfer. A surfboard is 21/3/16 inches wide and 2/3/8 inches thick. Write each dimension as a decimal.

Answers

Answer 1

Minus 21/3/16 with 2/3/8

Answer 2

Answer: Each dimension would be 21.1875 inches and 2.375 inches respectively.

Step-by-step explanation:

Since we have given that

Width of a surfboard = [tex]21\dfrac{3}{16}\ inches[/tex]

Thickness of a surfboard = [tex]2\dfrac{3}{8}\ inches[/tex]

We need to rewrite each dimension as a decimal.

We first write it in improper fraction:

Width becomes

[tex]21\dfrac{3}{16}\\\\=\dfrac{339}{16}\ inches[/tex]

Thickness becomes

[tex]2\dfrac{3}{8}\\\\=\dfrac{19}{8}\ inches[/tex]

Now, we change it into decimal form:

[tex]\dfrac{339}{16}=21.1875\ inches\\\\and\\\\\dfrac{19}{8}=2.375\ inches[/tex]

Hence, each dimension would be 21.1875 inches and 2.375 inches respectively.

Related Questions

the lowest temperature ever recorded in cloud city was 11 degrees farienheit the highest was 124 degrees Fahrenheit higher than the record low temperature could anyone help me solve this

Answers

It's simple, just add 124 to 11. 124 + 11 = 135 degrees.

If the highest was 124 degrees Fahrenheit from the lowest record temperature, then all you do is add 11 degrees Fahrenheit to 124 degrees Fahrenheit. It equals 135 degrees Fahrenheit.

I'm a bit confused on how to get x, the example doesn't make sense either.

Answers

We know that A=l*w and we also know that these two rectangles have to have the same area. This means we set the two area formulas equal to each other:
[tex](x)(12)=(16)(x-2)[/tex]
[tex]12x=16x-32[/tex]
[tex]-4x=-32[/tex]
[tex]x=8[/tex]

A shelf support 3 3/4. If a book weighs 3/8 of a pound, how many books can I think hold? If can add more support so the shelf hold 5 1/4 pounds, how many books can the shelf hold now?

Answers

So, you want to get the mixed number, 3 3/4, as a fraction. Multiply 3 by 4 and add it to the top of the fraction, getting you the fraction 15/4. Multiply the top and bottom by 2, getting the denominator to 8 and the numerator to 30. Now, you have two fractions, 30/8 and 3/8, with common denominators. Divide 30 by 3, you get 10. 10 books for the first part. Using this explanation you'll find that the new shelf can hold 14 books.

What value makes 2 square root 51 equal to 10 square root 51x

Answers

25 is the answer
hope it helps

The product of a number m and 1.7 is 6.63. Determine what an equation would be and solve for m. What is the value of m?

Answers

The equation would be m*1.7=6.63, because 6.63 is the *product* (showing that you need to multiply). and to find m you would need to divide 6.63 by 1.7 to do inverse operations. M equal 3.9.

PLEASEEEE HELP MY LIFE :((((

Answers

Since he gets 10$ per shirt, his revenue is 10y if y represents the shirts sold as he adds 10$ with every purchase. His expenses start with the base cost of 1500, then he also has to pay 3 dollars for each shirt, so his expenses add up to 1500+3y. Since he wants to make as much as he spent, his revenue has to equal his expenses and 10y=1500+3y. Subtracting 3y from both sides, we get 7y=1500. Dividing both sides by 7, we get y=214.something=215 by rounding up

the break even point is when ur expenses = ur revenue...there is no profit

1. expenses (what it costs steve ) are 1500 plus x shirts for $ 3
revenue(what steve makes from selling shirts) are x shirts for $ 10
so ur 2 equations would be : y = 3x + 1500 and y = 10x

2. 3x + 1500 = 10x
1500 = 10x - 3x
1500 = 7x
1500/7 = 214.28....so he would have to sell 215 shirts.

Percent of change
original:35
new:70

Answers

Hello, the formula to find a percent of change is [(new value - start value) / start value] × 100

[(70-35) / 35] × 100 = (35 / 35) × 100 = 1 × 100 = 100%

Answer = 100%

The cost to rent a car is $30 per day. Write an expression for the cost of renting a car d days. Make a table to find how much it will cost to rent a car for 3, 5, 7, and 10 days.

Answers

d = day
c = cost

c = 30d

Day(d) | c = 30d    | Cost(c)
3 | 90=30(3)   | $90
5 | 150=30(5)   | $150
7    | 210=30(7) | $210
10    | 300=30(10)  | $300

Answer:The expression for the cost of renting a car d days is:

[tex]c=30d[/tex]

The table can be made as follows:

Number of days Cost

3 90

5 150

7 210

10 300

Step-by-step explanation:

It is given that:

The cost to rent a car is $30 per day.

Now, the expression which is used to represent the cost for renting a car d days is:

[tex]c=30d[/tex]

where c is the cost of renting a car.

when d=3 we have:

c=90

( Since, 30×3=90 )

when d=5

c=150

( Since, 30×5=150 )

when d=7

c=210

( Since, 30×7=210 )

when d=10

c=300

( Since, 30×10=300 )

Please help iv added a pic of the work sheet. I have to get this done by tomorrow

Answers

You do this by moving all terms without y to the right hand side, and then divide the whole lot to keep a clean y= on the left hand side.

Moving to the other side is done by subtracting (or adding) a term from both sides. Effectively this looks like you're moving the term and flipping the sign.

So 2y + 18 = 4x changes into 2y +18 -18 = 4x -18 so 2y = 4x - 18. If you forget about the middle step, it looks like the +18 jumped to the other side and changed sign. That's all.

Second step is to change the 2y into y. You do that by dividing everything by 2. So 2y=4x-18 becomes y=2x-9

1. y=2x-9
2. y=3/2x - 6
3. y=4x+18
4. y=2x-12

5. y=-4x+18
6. y=2/3x+4
7. y=-1/4x-18/4
8. y=1/4x-18/4

9. y=1/4x+18/4
10. y=-1/4x+18/4
11. y=-3/2x+6
12. y=3/2x+6

13. y=-3/2x-6
14. y=-2/3x-4
15. y=2/3x+2/3
16. y=18-4x

slove the equation y=mx+b for m

a)m=y-b-m
b)m=(y-b)m
c)m=y+b/x
d)m=y-b/x

Answers

Subtracting b from both sides, we get y-b=mx. Next, we can divide x from both sides to get (y-b)/x=m. This does not fit into any option, however, as y-b/x is different from (y-b)/x due to that in the former, you first do b/x while in the latter you have to subtract b from y first

how can adding. doubles help you multiply by 2 give an example

Answers

Since you add a number x amount of times by itself when you multiply it by x, we have, for example, 3*2=3+3=6. In addition, 3*3=3+3+3=9 and 3*4=3+3+3+3 (4 times)=12.

There are 300 apples and peaches for sale at a farmer's market. The ratio of the number of apples to the number of peaches is 7 : 8. If 50 apples and 40 peaches are sold, what is the ratio of the remaining apples to peaches?

Answers

7:8.....added = 15

7/15(300) = 2100/15 = 140 apples
8/15(300) = 2400/15 = 160 peaches

if 50 apples and 40 peaches are sold....
apples : 140 - 50 = 90
peaches : 160 - 40 = 120

ratio of remaining is : 90/120 which reduces to 3/4 or 3:4 or 3 to 4 <==

please help me with this

Ernesto built a wooden car for a soap box derby. He is painting the top of the car blue and the sides black. He already has enough black paint, but needs to buy blue paint. He needs to know the approximate area of the top of the car to determine the size of the container of blue paint he should buy. He measured the length to be 9 feet 11.25 inches, and the width to be 0.5 inches less than 3 feet. Draw a diagram and label the measurements. What is the area of the top of the car? What is the most accurate area Ernesto can use to buy his paint?

Answers

Google it and see what you get

How many subsets of the set m,a,t,h,c,o,u,r,s,e contain at least one vowel

Answers

Final answer:

The given set contains 10 elements. Subsets with at least one vowel can be found by considering different combinations of vowels in the set which is 3 + 3 + 0 = 6.

Explanation:

The given set m,a,t,h,c,o,u,r,s,e contains 10 elements.

In order to find the number of subsets that contain at least one vowel, we need to consider the possible combinations of vowels in the set.

If we consider only one vowel, there are 3 vowels in the set (a, o, and u). Therefore, there are 3 choose 1 = 3 subsets.If we consider two vowels, there are 3 choose 2 = 3 subsets.If we consider three vowels, there is 1 choose 3 = 0 subset (as there is only 1 vowel left).

Therefore, the total number of subsets that contain at least one vowel is 3 + 3 + 0 = 6.

Final answer:

To find the number of subsets of the set m,a,t,h,c,o,u,r,s,e that contain at least one vowel, we can count the number of subsets that have no vowels and subtract it from the total number of subsets.

Explanation:

To find the number of subsets of the set m,a,t,h,c,o,u,r,s,e that contain at least one vowel, we can count the number of subsets that have no vowels and subtract it from the total number of subsets. The given set contains 9 consonants and 5 vowels. So, the number of subsets with no vowels is equal to the number of subsets of the 9 consonants, which is 2^9 = 512.

The total number of subsets of the given set is 2^14 = 16384. Therefore, the number of subsets that contain at least one vowel is 16384 - 512 = 15872.

What is the relationship between 5.34 x 10^5 and 5.34 x 10^-2?

5.34 x 10^5 is 100,000 times greater/less than 5.34 x 10^-2

5.34 x 10^5 is 1,000,000 times greater/less than 5.34 x 10^-2

5.34 x 10^5 is 10,000,000 times greater/less than 5.34 x 10^-2

5.34 x 10^5 is 100,000,000 times gteater/less than 5.34 x 10^-2

Answers

5.34 x 10^5 is 10,000,000 times greater/less than 5.34 x 10^-2
5.34 x 10^5 = 10,000,000 and 5.34 x 10^-2 = 0.0534 thus c: is your answer.

Answer: THAT MAKES NO SENCE

Step-by-step explanation:

how can i show my work for 0.4 divide 1.44

Answers

Draw a picture showing the groups

Explain how you can find 3x584 using expanded form

Answers

I believe what you need to do is multiply 3 by each number.
To start, 3*584 is 1752. Expanded form written out would be (3*500)+(3*80)+(3*4). Simply multiply all the numbers and then add them together. 3*500=1,500; 3*80=240; 3*4=12. 1,500+240=1740+12=1752. Hope this helps! :)

4.3t-2.1t-2.3=7.6
Solve equation

Answers

If your solving for t then t = 4.5

Final answer:

The equation can be solved by combining like terms, isolating the variable t, then dividing by the coefficient of the variable. The solution to the equation is t = 4.5.

Explanation:

The given equation in this problem is 4.3t - 2.1t - 2.3 = 7.6. To solve the equation, first we need to combine like terms, meaning we would subtract 2.1t from 4.3t.

This leaves us with 2.2t - 2.3 = 7.6. After that, we must isolate t by adding 2.3 to both sides of the equation. This results in 2.2t = 9.9. Finally, we divide both sides by 2.2 to solve for t, which gives us t = 4.5.

Learn more about Algebra here:

https://brainly.com/question/24875240

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Salumé bought 4.59 pounds of lobster for $39.98. How much did she spend per pound of lobster? Round your answer to the nearest cent. A. $7.11 B. $35.39 C. $8.71 D. $9.99

Answers

The answer is C. Take the amount of money that she spent divided by the amount of lobster that she bought and you will get how much she spent per pound.

c. 39.98/4.59 =8.71.…

If 2 more students took the math test and both made a score of 80, what would the picture graph look like?

Answers

If both of them scored 80, then on the graph, both of them will lying on the same points. Say x axis student and y axis is Marks , then for student 1, the point that will be marked is 80 and for student 2 also, the point that will be marked is 80. If both the points are connected, then we will be getting a straight line connecting both the dots. Hence the graph will be a straight line.

PLease help!!
Use the figure to the right to find the value of PT. T is the midpoint of PQ
PT=3x+2 and TQ= 5x - 8
Simplify your answer

Answers

3x+2=5x-8 so 2x=10 therefore the answer is x=5

What do you add to 2 3/8 to make 6

Answers

29 because first u add 5 then 8 3 times.

A sack full of medals contains gold, silver, and bronze. If selected at random, the probability of picking a gold medal is 5/12. The probability of picking a silver medal is 1/3. What is the probability of picking a bronze medal? Express the probability as a number between 0 and 1.

Answers

Final answer:

The probability of picking a bronze medal is found by subtracting the probabilities of picking a gold and a silver medal from 1. As the probability of picking gold is 5/12 and silver is 1/3 (or 4/12), the probability of picking bronze is 1 - (5/12 + 4/12) = 1/4 or 0.25.

Explanation:

The probability of picking each type of medal from the sack adds up to 1 since one of the medals must be picked. Given the probability of picking a gold medal is 5/12 and the probability of picking a silver medal is 1/3, we can calculate the probability of picking a bronze medal by subtracting the probabilities of picking a gold or silver medal from 1.

First, let's find a common denominator for 5/12 and 1/3, which is 12. The probability of picking a silver medal expressed with the denominator 12 is 4/12 (since 1/3 equals 4/12).

Now, we add the probabilities of picking a gold or silver medal: 5/12 + 4/12 = 9/12.

Finally, we subtract this sum from 1 to find the probability of picking a bronze medal:
1 - 9/12 = 3/12, which simplifies to 1/4.

Therefore, the probability of picking a bronze medal is 1/4, or 0.25 when expressed as a number between 0 and 1.

When you divide two fractions is the quotient always smaller than the dividend

Answers

sometimes but most of the time no

Evaluate the function
f(x)= 7.45x + 33.7 at x= -4.3

Answers

First, you have to substitute for x, which would make the problem f(x)=7.45(-4.3)+33.7
Now, you just have to use the PEMDAS method (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
f(x)= -32.035+33.7
f(x)=1.665

Pls help me I need help

Answers

4(5)-12
20-12
8

It would equal 8

The answer would be 8

Simple math question!

Eliana's calculator displays a number as 5.378 E9.

What is this number in standard form?

Enter your answer in the box.

Answers

5,378,000,000 because 5.378 E9 = 5.378 x 10^9

Answer:

5,378,000,000

Step-by-step explanation:

Simplify the expression 4^3 + 2(3 - 2)

Answers

4 x 4 x 4 = 16 x 4 = 64

64 + 2(1) = 64 +2 = 66

66 is your answer

hope this helps

[tex]4^3 + 2(3-2) 4^3 + 2(1) 64 + 2 66 _________________ Thus, the answer is: 66 You're welcome. [/tex]

Calculate 2,000-1,853

Answers

use a calculator or simple subtraction
2000-1853= 147
brainliest answer?

2000-1853= 147 <<<<<<<<

Anwser. Anwser. Answer. Anwser

Answers

the answer to x is 7 because 4 times 6 is 24 and 7 times 6 is 42

Answer:

i think x to 7 i belive

Step-by-step explanation:

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