What is the product of −3 1/4 and −1 1/2 ? Enter your answer as a mixed number, in simplified form, in the box.

Answers

Answer 1

Answer:

Mixed number is [tex]4\frac{7}{8}[/tex] and the simplified form of this mixed number is [tex]\frac{39}{8}[/tex].

Step-by-step explanation:

The two mixed numbers are

[tex]-3\frac{1}{4}=-\frac{13}{4}[/tex]

and [tex]-1\frac{1}{2}[/tex]

= [tex]-\frac{3}{2}[/tex]

Now we will multiply these negative fractions.

[tex](-\frac{13}{4})(-\frac{3}{2})[/tex]

When two negative signs get multiplied they become positive.

= [tex]\frac{13}{4}\times \frac{3}{2}[/tex]

= [tex]\frac{39}{8}[/tex]

= [tex]4\frac{7}{8}[/tex]

Therefore, mixed number is [tex]4\frac{7}{8}[/tex] and the simplified form of this mixed number is [tex]\frac{39}{8}[/tex].


Related Questions

according to the law of conservation of energy, when a car uses 10,000J chemical energy from gasoline, how much energy will be transformed into sound,heat,and mechanical energy.

Answers

According to the Law of Conservation, 10,000 J of energy will be released and transformed into sound, heat, and mechanical energy. This is true because energy cannot be destroyed or created; it just transforms into some other type of energy.

Hope this helps!

the diagram shown, ∠6 measures 97 degrees. What is the measure of ∠5?

Answers

well, since there isn't a lot of information given I would assume they are parallel. in conclusion my answer would have to be 97 degrees for ∠5

Answer:

The dude above me is wrong!

Step-by-step explanation:

The Correct Answer would be 83 stay in school kids!

what is 4018 divide by 82

Answers

the answer is of 4018 divided by 82 is 49
4018 / 82 = 49


Hope this helps

solve for x. please show work

Answers

Those 2 angles makes up corresponding angles in parallel lines. Which means, both two angles equal to each other because this is a rule that exists when both of the lines are parallel to each other which is indicated with red arrows in the photo.
75 = 11x - 2
75 + 2 = 11x
77 = 11x
X = 77 / 11
X = 7
The answer is 7.

I am confused with this question. Can you help me?

Answers

In point-slope form, the equation of the line is
.. y -k = m(x -h) . . . . . . for slope m and point (h, k)

You have m = -7/2 and (h, k) = (8, -28), so the point-slope equation is
.. y -(-28) = (-7/2)*(x -8)
.. y +28 = (-7/2)x +28 . . . . simplify
.. y = (-7/2)x . . . . . . . . . . . . subtract 28
To put this into standard form, we can multiply by 2, then add 7x.
.. 2y = -7x
.. 7x +2y = 0 . . . . . . . . . . . the standard form equation you want

An angle is 6 more than five times its supplement. Whats the measure of the largest angle?

Answers

Complementary angles: two angles that add to 90°
Supplementary angles: two angles that add to 180° (x)

angle "y" : y= 5x+6
180= (5x+6) + x
180=6x+ 6
174=6x
x=29
180- 29= 151


Answer: 151°

Let a and b stand for two different rational numbers. If |a| > |b| then what else must be true?

Answers

a is farther from 0 then b is

Put the following numbers in order from least to greatest 0.0579. 5. 0.5. 0.59. 0.0599. 0.05

Answers

I'm guessing the numbers are 0.0579, 5, 0.5, 0.59, 0.0599, & 0.05 (use commas not dots in future questions)
least to greatest.
0.05, 0.0579, 0.0599, 0.5, 0.59, 5

hope this helps
0.05, 0.0579, 0.0599, 0.5, 0.59, 5

joseph is spending money daily and tory is earning money daily. which function represents joseph and which represents tory? explain your reasoning.

f(x)=4x+20 g(x)=80-2x

create a table of values for both

x f(x)
0
2
5
10
11

Answers

i cannot make a table but the one with subtraction is joseph's and the one with addition is tory's

An architect makes a blueprint with a scale of one fourth inch equals 2 ft. Which will be the dimensions of the drawing of a warehouse room measuring 60 ft by 100 ft? Answer Options with 5 options A. 15 inches ''by 25 inches   '' B. 7.5 inches ''by 12.5 inches   '' C. 120 inches ''by 200 inches   '' D. 480 inches ''by 800 inches   '' E. 30 inches ''by 50 inches   ''

Answers

Facts: scale .25"=2'
room 60'×100'

Equation: 60/2=30×.25=7.5
100/2=50×.25=10.5

Answer: B

The new dimension in inches is 7.5 inches by 12.45 inches. Hence, option B is correct.

What is ratio?

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.

As per the given information in the question,

One fourth inch equal to 2ft.

Mathematically,

1/4 inch = 2ft

0.25 inch = 2ft

The given dimensions are 60 ft by 100 ft.

Now,

0.25 inch = 2ft

x inch = 60 ft

2x = (0.25 × 60)

x = 15/2

x = 7.5 inches

Then,

0.25 inch = 2ft

y inch = 100 ft

2y = 100 × 0.25

y = 25/2

y = 12.45 inches

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A baker uses 30 grams of sea salt for each batch of bread. Sea salt comes in a 800 gram package. Which size package shoul the bake by so none is lef over?

Answers

a 2 liter bottle
because I just need a crown

Find g (2w) when g(x) = x^2 - 2x + 1

Answers

g(2w)=(2w)²-2(2w)+1
g(2w)=4w²-4w+1

The value of g (2w) is,

g (2w) = 4w² + 4w + 1

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

The given function is;

g(x) = x² - 2x + 1

Now, The value of g (2w) is calculated as;

g(x) = x² - 2x + 1

Put x = 2w in above equation,

g (2w) = (2w)² + 2 (2w) + 1

g (2w) = 4w² + 4w + 1

Hence, The value of g (2w) is ( 4w² + 4w + 1 ).

So, The value of g (2w) is,

⇒ g (2w) = 4w² + 4w + 1

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Simplify (4.5)(−9)(−1.8)

A. −729

B. −72.9

C. 72.9

D. 729

Answers

Answer:

72.9, The answer is 72.9...


Final answer:

The product of 4.5, -9, and -1.8 once simplified is 72.9, due to the rule that multiplication of two negative numbers gives a positive result.

Explanation:

The question asks you to simplify the multiplication of the numbers 4.5, -9, and -1.8. To answer this, we first multiply 4.5 and -9 to get -40.5. We then multiply -40.5 by -1.8. This is the basic principle of arithmetic which states that multiplication should be implemented from left to right.

Remember that multiplying two negative numbers gives a positive result, so -40.5 times -1.8 equals +72.9. Therefore, the answer to your question is C. 72.9. This falls under the subject of Mathematics, specifically the topic of multiplication and handling positive and negative numbers.

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The Sharks have played 5 basketball games this season. Their scores are 65, 63, 67, 60, and 65. If they only score 30 points in their next game, what will happen to their MEDIAN score?

Answers

the median of the scores now is:

60 , 63 , 65 , 65 ,67

Median = 65

if the score 30, the median would be

30, 60 , 63 , 65 , 65 ,67

Median: 63 +65 = 128/2 = 64

The Median drops by 1

In their first five games their median would be 67 because it is the middle number. But if they score 30 points then you would have to add 67+60 and get 127. Then you divide 127 by 2 and get 63.5. The median would be changed to 63.5.

Diana's painting statue she has 7/8 of a gallon of paint remaining each student requires 1/16 of a gallon of paint how many statues can she paint

Answers

Easy, first turn the factions into deciamls, then so 1.16-7.8=6.64. So, 6.64

A train travels 220 miles in 4 hours. What is the train's speed in feet per minute?
55 ft/min
4840 ft/min
11 ft/min
660 ft/min

Answers

To work out speed you use the speed, distance and time formula: This is speed = distance/time.

You then need to convert the 220 miles into feet, you times the miles by 5280:
220 * 5280 = 1161600ft

Then you do hours into minuets, you times the hours by 60;
4 * 60 = 240mins

Then you place it into the formula:
1161600ft/240mins = 4840 ft/min

Hope this helps! :)

If A train travels 220 miles in 4 hours. Then train's speed in feet per minute is 4840.

What is speed?

Speed is the time rate at which an object is moving along a path,

To work out speed you use the speed, distance and time formula:

This is speed = distance/time.

Let us convert 220 miles into feet,

1 mile=5280 ft.

So 220 miles

=220×5280

=1161600 ft

Then we convert 4 hours into minuets

4 * 60 = 240mins

now plug in the formula with time and distance .

1161600ft/240mins = 4840 ft/min

Hence  4840 ft/min is the speed of train in feet per minute.

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What is the value of p? 0.6441−(−0.29)=p

Answers

the value of P= 0.9341

Answer: p = 0.9341

Have a good day!

What’s the answer for this math question

Answers

3 11/12 is the answer to the question.

How do I combine like terms? For example one problem is 32y + 5y = please explain.

Answers

Step 1: Combine the coefficients. 32y + 5y are coefficients. (means have the same letter basically)
SO 32y + 5y= 37y
You can't combine oranges with apples, just oranges with oranges and apples with apples. Think about it that way.

In this specific problem, the only thing you need to do is add those numbers together as they are like terms (both have y), you'd get 37y.

With a problem like 2 + 5x + 3 + x, you'd have to identify which are like terms and which aren't. The x's go together, and 2 and 3 go together. The result would be 5 + 6x, since you can't combine x and 5.

Hope I helped! :)

Please, please help!

Two straight lengths of wire are placed on the ground forming vertical angels if the measure of one of the angles formed is 72 degrees, what are the measures of the other three angles? Explain your answer.

Answers

They need to add to 180 degrees

108 * 72 = 108 degrees

How do you graph the function f(x)=−1/4x−2?

Answers

Welll the y-intercept is negative 2 so on the y axis the first point is negative 2. 1/4 is the rise over run so you would go up from your first point one unit and over to the left four units or vise versa down one unit and over to the right four units, or the image

what is 40% as a whole number?

Answers

If you mean as a decimal then it's 0.4, if a fraction then it's 40/100 or 2/5.
Hey there,
40 % = 40 / 100
40 / 100 can be simplified = 2 / 5

Hope this helps :))

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A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide. What is the area of the reduced carpet

Answers

6 feet because 8 / 12 reduces to 2 / 3 and you multiply 2 times 3
Hi there.

So, we've got the dimensions. 

l = 12, w = 8

We know that the width has been divided by 4. That means we also divide the length by 4. This gives us the new dimensions of:

l = 3, w = 2

A = lw 

3 · 2 = 6 ft²

Cheers~


What is the coefficient of the term x7y in the expansion of (x + y)8?

Answers

The coefficient means the number before the unknown so 8(x+y) would equal 8x+8y so the coefficient would be 8 and for x7y the coefficient of x is 1 because there is nothing infront of it and the coefficient of y is 7 

Denise provides water for the runners at her schools 10K road race. She has a container that holds 678 ounces of water. How many 8-ounce cups can she fill with water?__________cups

Answers

divide total ounces by the amount each cup can hold

678 / 8 = 84.75

 so they can fill 84 cups

678 oz/ 8 = # of cups she can fill

678/8 = 84.75 

She can fill 84 cups 

hope this helps

Mary and her dad shared one dozen brownies. 2/6 of them have nuts , which dad doesn't eat. How many brownies did dad not eat because they had nuts?

Answers

1/3 of the brownies.
He doesn’t eat 4 of them
Since one dozen is 12, you can multiple 2/6 by 2 to get 4/12 so 4 out of 12 is what he doesn’t eat

What is 2 (1/3) — -3 (2/3) = ?

Answers

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


I hope this helped you! c:

Carmen, Reuben, and Bob have a total of $133 in their wallets. Bob has 3 times what Reuben has. Carmen has $8 more than Reuben. How much does each have?

Answers

So you will want to form a few equations. The first one is:
C+R+B=133
Then you will want to form an equation for Bob:
B=3R
Then, another for Carmen
C=R+8

Knowing this information, you can plug each in, solving for R.

R+8+R+3R=133      Now Solve
5R+8=133               Subtract 8 from both sides
5R=125                   Divide 5 from both sides
R=25                       Now substitute R in for Carmen and Bob equations.

R=25                        Reuben has $25
C=8+25                    Add
C=33                        Carmen has $33
B=3(25)                    Multiply
B=75                        Bob has $75

Check answer:

25+33+75=133
133=133

I hope this helps!

Find the length of each side

Answers

This can only be answered if we know that segments BG, CF, and DE are parallel. I don't see that written anywhere. I'll assume that is given.

To find GF:

AG is to AB as GF is to BC

AG/AB = GF/BC

20/16 = GF/12

5/4 = GF/12

4GF = 5 * 12

4GF = 60

GF = 15

To find FE:

AG is to AB as FE is to CD

AG/AB = FE/CD

20/16 = FE/8

5/4 = FE/8

4FE = 5 * 8

4FE = 40

FE = 10

The movie theater has 176 seats there are 9 roles of 18 sets plus and additional section of handcapped accessible seats

Answers

Final answer:

The question is asking about the number of seats in a movie theater with 9 rows of 18 seats each and an additional section of handicapped accessible seats. The total number of seats can be found by multiplying the number of seats in each row (18) by the number of rows (9) and adding the number of handicapped accessible seats.

Explanation:

The subject of this question is Mathematics. The question is asking about the number of seats in a movie theater, given that there are 9 rows of 18 seats each and an additional section of handicapped accessible seats.

To find the total number of seats in the theater, you can multiply the number of seats in each row (18) by the number of rows (9) and then add the number of handicapped accessible seats.

So the total number of seats in the theater is 9 rows x 18 seats/row + additional handicapped accessible seats.

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