Work out 3 1/2 x 1 3/7, giving your answer in its simplest form?

Answers

Answer 1

let's firstly convert the mixed fractions to improper fractions and then get their product.

[tex]\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{3}{7}}\implies \cfrac{1\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{10}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\cdot \cfrac{10}{7}\implies \cfrac{7}{7}\cdot \cfrac{10}{2}\implies 1\cdot 5\implies 5[/tex]


Related Questions

Solve the inequality and graph the solution
x +1 2/5 _< 6 8/10

Answers

Answer: x < 5 [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{8}{10}[/tex]

x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{4}{5}[/tex]

x < 5 [tex]\frac{2}{5}[/tex]

graph is attached

Find p write your answer in simplest radical form

Answers

Answer:

sqrt (98)

Step-by-step explanation:

The two 45 degree angles result in equal length legs in this right triangle ..

 use pythagorean theorem

7^2 + 7^2 = p^2

sqrt (98) = p  

In the figure shown, which is the value of y?
(3x)
(x)⁰
(2y)°
(2y)°

Answers

Answer: y = (x/2)°

Step-by-step explanation:

The two angles are because they are opposite angles.

can you please answer and explain this question​

Answers

Answer:

mean: 106900

median: 8500

mode: 7,000, 8,000, and 11,000

Step-by-step explanation:

To calculate mean, add them all together and divide the number of how many numbers it has. For median make out the sequence from small to large. For this one is 5,000, 7, 000, 7,000, 8,000, 8,000, 9,000, 10,000, 11,000, 11,000, 1,000,000. The middle is between 8,000 and 9,000 so find it's middle number. The mode is the number that appears the most. In this case 7,000, 8000, 11,000 all appeared twice so they are the mode.

A zoo measured the wingspan, in millimeters, of 9 butterflies.

55, 50, 54, 57, 50, 55, 53, 52, 55

What is the median length of the wingspans?


50 mm

54 mm

55 mm

57 mm

Answers

The answer is 54 because it’s in the middle

This rectangle has a perimeter of 36 units. Create a table that shows the length and width with at least 3 different rectangles that also have a Create a table that shows the length and width with at least 3 different rectangles that also have a perimeters of 36 units. Describe the relationship between the columns of your table.

Answers

For the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units

How to create the table?

The given parameter is:

Perimeter = 36 units

The perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

So, we have;

36 = 2 * (Length + Width)

Divide both sides by 2

Length + Width = 18

This means that for the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units

So, the possible table of values is:

Length  Width

  5           13

  8           10

  9           9

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If cos43=p, determine.without the use of a calculator,the value of each of the following in terms of p

Answers

We need to calculate the value of cos(43) to determine the value of p

How to evaluate the expression?

The equation is given as:

cos43 = p

Rewrite properly as:

cos(43) = p

Rewrite the equation as:

p = cos(43)

The above means that we simply calculate the value of cos(43) to determine the value of p

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I need help please I’m confused

Answers

Answer:

the answer is bottom left trust

Answer:

bottom left is the answer

Step-by-step explanation:

What are some key features of sequence and series graphs?

Answers

Answer:

The key features that are unique to the graphs of sequences and series are that they are discrete.

Explanation:

That means that the graph is not a continuous line or curve that joins all the points. On the contrary, the graph is a set of separated dots, because the values are valid only for specific points.

The base diameter and the height of a cone are both
equal to x units.

Answers

Answer:

π x³ /12 is the volume of the cone if  A cone has a height of x and a diameter of x

Step-by-step explanation:

The base diameter and the height of a cone are both equal to x units

Diameter of cone = x  units

Radius = Diameter /2

=> Radius of cone = x/2 units

Height of cone =x units

Volume of cone = (1/3) π r²h

r = radius h = height

=> Volume of cone =  (1/3)π (x/2)² * x

= (1/3) π (x²/4) * x

= (1/12)  π x³

= π x³ /12 cubic units

Suppose we want to choose 3 letters, without replacement, from the 4 letters A, B, C, and D.

Answers

Answer:A) 24 waysB) 4 waysStep-by-step explanation:a) permutation occurrs when order of choices matters.N = 4P3 = 4!/(4-3)! = 4!/1!N = 24 waysb) combination occurs when order of choices doesn't matter.N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)N = 4 ways

Step-by-step explanation:

a) permutation occurrs when order of choices matters.N = 4P3 = 4!/(4-3)! = 4!/1!N = 24 waysb) combination occurs when order of choices doesn't matter.N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)N = 4 ways(hope this helps:)

Explain the meaning of the scale 1 :2.5

Answers

1:25 means that 1 ‘unit’ on the plan is 25 ‘units’ in real life, so 1cm= 25cm, 1ft= 25ft

solve by completing the square

Answers

Step-by-step explanation:

answer is in the picture above

Anyone could help out with this

Answers

Answer:

C

Step-by-step explanation:

The answer is the orange one because pie * radius^2 leads to the area of the circl.e

Please help me!

Some loose change (pennies, nickels, dimes, and quarters) found behind the couch. Brianna noticed more than half the coins were pennies. Geofrey noticed that there was at least one coin of each type. Michele noticed that you could not make change for the same amount using fewer coins. In the space below, write the total amount of change, in cents, that was found.

Answers

The total amount of change, in cents, that was found is determined as 96 cents.

Total amount of change

The total amount of change is calculated as follows;

let the total = T

there was at least one coin of each type

T = p + n + d + q

more than half of the coins were pennies

[tex]\frac{p+n + d + q }{2} \leq p[/tex]

Value of the coinspennies = $0.01nickels = $0.05dimes = $0.1quarters = $0.25

more than half = pennies

next, we have; nickels + dimes + quarters

number of dimes

y(dimes) = $0.25

y(0.1) = 0.25

y = 0.25/0.1

y = 2.5 ≅ 3

dimes = 3 coins

number of nickels

since dimes = 3 coins, number of nickels is now calculated as;

x(0.05) = 3(0.1)

x = (0.3)/(0.05)

x = 6 coins

nickels = 6 coins

Total coins

Total coins = nickels + dimes + quarters + pennies

pennies must greater than 6 coins, since we can't have fewer coins.

Total coins = nickels + dimes + quarters + pennies

let pennies = 7

Total coins = 6 + 3 + 1 + 7

Total coins = 17

half of 17 = 8.5

7 is less than half (8.5), number of pennies cannot be 7, since more than half of the coins are pennies.

let pennies = 11

Total coins = 6 + 3 + 1 + 11

Total coins = 21

half = 10.5

11 is more than half (10.5)

more than half = number of pennies = 11

Total amount in cents

11($0.01) + 6($0.05) + 3($0.1) + 1($0.25) = $0.96 = 96 cents

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How many helmets must the company make and sell to break even? helmets

Answers

Answer: 600

Step-by-step explanation: i took test and got it right

Answer: 600

Step-by-step explanation:

What is the perimeter of a triangle with sides 11 inches, 6 inches, and 13 inches in length? 11 6 A 19 inches 28 inches C 30 inches 17 inches 13 B​

Answers

Answer:

The answer is C

Step-by-step explanation:

The explanation is to add all the sides together and then get your answer

2(1 + 4)2 x (9-6)
3



Answer please

Answers

2(1+4)2 x (9-6)3

4(5) x 3(3)

20 x 9

180

Solve: Eleven coins (dimes and nickels) are worth 60 cents. How many
dimes are there? _____

Solve: Eleven coins (dimes and quarters) are worth 170 cents. How many
dimes are there? _____

Answers

Answer:

first solve is 10 nickels and 1 dime

second solve is 4 quarters and 7 dimes

Step-by-step explanation:

see attached picture of both math details

A committee must be formed with 2 teachers and 4 students. If there are 9 teachers
to choose from, and 9 students, how many different ways could the committee be
made?

Answers

The total number of different committees that can be made is:

C = 4,536

In how many different ways could the committee be made?

If we have a set of N elements, the total number of different subsets of K elements that can be made out of these N is:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

So, the 2 teachers (out of 9) can be selected in:

[tex]C(9, 2) = \frac{9!}{7!*2!} = \frac{9*8}{2} = 36[/tex]

36 different ways.

The 4 students (out of 9) can be selected in:

[tex]C(9, 4) = \frac{9!}{5!*4!} = \frac{9*8*7*6}{4*3*2} = 126[/tex]

126 different ways.

The committee is formed by these two groups, so the total number of different committees that can be made is:

C = 36*126 = 4,536

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Use the graph below to answer the question that follows: graph of the curve that passes through the following points, 0, 3, pi over 2, 5, pi, 3, 3 pi over 2, 1, 2 pi, 3. What is the rate of change between the interval of x = 0 and x = pi over two? a two over pi b pi over two c pi over four d four over pi

Answers

Answer:A

nswer is D. four over pi

Step-by-step explanation:

x1=0, y1=3

x2=pi/2, y2=5

rate of change = (y2-y1)/(x2-x1)

=(5-3)/(pi/2-0)

=4/pi

let f(x) = x-3 and g(x) =x^2 find f(g(4))

Answers

Answer:

f(g(4)) = 13.

Step-by-step explanation:

g(4) = 4^2 = 16

so f(g(4)) = f(16)

=  16 - 3

= 13.

Question 1:
Your goal this year is to earn a B or better in Algebra class.
If you do, your parents said they would give you $200.
Write an inequality to represent the grades you can earn
and receive money from your parents for it. Then explain
the graph for the inequality. Hint: Remember you cannot
earn higher than a 100 in any class.

Answers

[tex]b \geqslant x \leqslant a[/tex]

Please help me. I need to find the limit. I WILL give you BRAINLIEST!

Answers

Answer:

-1

Step-by-step explanation:

The answer of this question is -1

A lion can run at a speed of 1.43 kilometers per minute. How fast can the lion run in miles per hour

Answers

The loin's speed in miles per hour will be 53.31 miles per hour.

What is velocity?

Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

It is given that:-

lion can run at a speed of 1.43 kilometres per minute.How fast can the lion run in miles per hour

Now to find the speed of a lion in miles per hour we have the following relationship.

[tex]1\ \ \ \dfrac{KM}{min} \ = \ 37.28\ \ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1\ \ \ \dfrac{KM}{min} \ \times 1.43\ = \ 37.28 \times 1.43\ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1.43\ \ \ \dfrac{KM}{min} \ = \ 53.3\ \ \dfrac{Miles }{hour}[/tex]

Therefore the loin's speed in miles per hour will be 53.31 miles per hour.

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NEED TO KNOW HOW TO GET ASNWER
The prep cook needs to make 115 sandwiches. Each sandwich contains 3 ounces of chicken salad. The chicken salad comes in a 32-ounce container. How many containers need to be purchased?

Answers

Answer:

you would need 11 containers but you would have some left over.

Step-by-step explanation:

What is 69.1% as a decimal?​

Answers

Answer:

0.691

Step-by-step explanation:

Since a percentage means out of 100, divide the percentage by 100

69.1÷100= 0.691

0.691

100% = 1.00 helps me remember where the decimal goes.

PLEASE HELP I NEED QUICK!!!

Answers

5 cups of rice if you look at 1 1/3 it says 5 1/3 cups can be made so 5 cups of rice

3/4 cups of dry rice can make 3 cups cooked rice

1 cup dry ice can make

3÷3/43×4/34cups

What is
24
1,000
as a decimal?

Answers

24%1,000= 0.24 in decimal form

Factor the expression completely
9z+15

Answers

Answer:

3(3z + 5)

Step-by-step explanation:

You have to factor out 3 from 9z+15 :)

Please mark brainliest

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