Add 13 5/12 +(-4 11/12) . Reduce, if possible

Answers

Answer 1
   Arranging these addends vertically may make the work easier:

    13 5/12
   -4 11/12)
----------------

Since 11/12 is larger than 5/12, we must borrow from 13:

12 + 12/12 + 5/12
 -4        -11/12
--------------------------   
8         17/12-11/12        =    8 6/12   = 8 1/2   = 8.5 (answers)
Answer 2

Answer:

the answer is 8 1/2 or 8.5 :)

Step-by-step explanation:


Related Questions

Complete the table. Find the missing amounts of weight by applying the same value of the ratio as the first two rows.

Answers

First, convert all pounds andou8nced to decimal pounds.
To do that, divide the number of ounces by 16 and add to the number of pounds.
For example, 152 lb 4 oz = 152 lb + 4/16 lb= 152.25 lb
14 lb 8 oz = 14 lb + 8/16 lb = 14.5 lb
Do the above for all given weights.

For each line, do this.
Divide the number in the left column by the number in the middle column.
For example, 152.25/14.5 = 10.5. Since the ratios are always the same, the first column is always 10.5 times the middle column.
If you are given the left column, divide by 10.5 to find the middle column.
If you are given the middle column, multiply by10.5 to find the left column.
Finally, add the left and middle columns to find the right column.

the angle of elevation of the top of a building from a point 80 ft away from the building on level ground is 70° determine the buildings height

Answers

Draw a triangle with shortest side on the ground (horiz.).  The length of this side is 80 feet.  Two angles touch the ground:  a right angle, and the 70 degree angle.
 
Then the height of the building is the 2nd shortest side.

The tangent function is the appropriate one to use here:
                       opp          h
tan 70 deg = -------- = ----------
                        adj        80 ft
                                                                h
Since tan 70 deg  = 2.75,          2.75 = -------
                                                              80 ft

so h = building height = (80 ft)(2.75) = 219.8 ft

A weight of 15 ounces stretches a spring 10 inches. A weight of 24 ounces stretches the same spring 16 inches. How many inches does the spring stretch per ounce of additional weight?

Answers

F = k x 
15 = k *10 
k = 1.5 

check: 
24 = 1.5 x 
x = 16 sureenough 

so 1.5 oz/inch 
= 1/1.5 inches/oz = 2/3 = 0.6666.... in/oz

The spring stretch  0.6 inches per ounce of additional weight.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A weight of 15 ounces stretches a spring 10 inches.

∴ Inches increase of the spring per ounce of weight is the total increase in length divided by the total weight,

= (10/15) inches.

= 0.6 inches of increase in length per ounce.

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If you multiplying by 1/4 makes a positive number smaller, then what does dividing by 1/4 do to the value of the number? Explain your reasoning

Answers

Dividing by 1/4 makes the value of the number bigger because you are basically multiplying by the reciprocal which is 4.

Division and multiplication are reciprocal operators.

Dividing the positive number by 1/4 will make the positive number bigger.

From the question, we understand that:

1/4 makes the positive number smaller, when it is multiplied to the positive number.

Because division and multiplication are reciprocals,

Dividing the positive number by 1/4 will make the positive number bigger.

Hence, what division does to the positive number is that: It makes it bigger

Read more about division and multiplication at:

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A box of popcorn weighs 15/16 pounds. The box contains 1/3 buttered popcorn and 2/3 cheesy popcorn. How much does the cheesy popcorn weigh

Answers

I think if you have 2/3 pounds of cheesy popcorn, then the 1/3 buttered popcorn plus the 2/3 cheesy popcorn would add up to a full, 15/16 pounds of popcorn altogether.

The weight of the cheesy popcorn is 5/8 pounds.

To find the weight of the cheesy popcorn, we will calculate two-thirds of the total weight of the popcorn box, which weighs 15/16 pounds. Since the box contains two types of popcorn, buttered and cheesy, with the cheesy popcorn making up two-thirds of the box, we will simply multiply the total weight of the box by 2/3 to find our answer.

The calculation is as follows:

Total weight of the box = 15/16 pounds

Cheesy popcorn weight = (2/3) * (15/16)

Cheesy popcorn weight = (2 * 15) / (3 * 16)

Cheesy popcorn weight = 30 / 48

When simplified, this gives us 5/8 pounds

Therefore, to find the weight of the cheesy popcorn in a 15/16 pound box, calculate two-thirds of the box's total weight, which results in 5/8 pounds for the cheesy popcorn.

1.9x=3x-36 Solve for X


2. 9z+10=1-3(5-3z) How many solutions does the equation have?


3.3y+10/4=2y what is the value of Y

4.2x+4=2(x+2) What statement about the equation is true


5.4(z-5) +2 =4z-18 how many solutions does this equation have

Answers

1.9 * 3 = 27
3 * 3 = 9   
36 - 9 = 27 
so x = 3
2. 9z + 10 = 1 - 3(5 - 3z)
9z + 10 = 1 - 15 + 9z
9z + 10 = 9z - 14
9z - 9z = -14 - 10
0 = - 24....incorrect

This equation has no solutions....0 solutions
3. Y=2 that's your answer:
Times it by 4:
3y+10 = 2y*4
3y+10 = 8y

Move the 12y over to the other side:
10 = 8y - 3y
10 = 5y

Divide both sides by 5:
10/5 = 5y/5
2 = y
4. The equation has many solutions
5. Distribute the 4:
4z - 20 + 2 = 4z - 18
Subtract 4z
-20 + 2 = -18
-18 = -18
This is true so that means there are infinite number of solutions and z could be anything
Hope this helps!

I am so stuck please explain to me how to do this. If you can do this, please do!

Directions: Write each decimal as a fraction or a mixed number.

10.9

00.8

4.125

0.0075

8.016

0.055

Answers

well, I think what u could do is put 1 where the decimal is and 0 by however many numbers there are, for example, 1.13/ 100. There is a 1 for the decimal and two 0 for the two numbers. And then simplify as much as you can and then make it into a mixed fraction if you have to like if it is 9/5 or something

HELP!!
Which story problem could be solved using the given equation?

1/5x2/3=m
A
Lucas needs a wooden strip that is 2/3 yard long for his boat model. He plans to cut the strip into pieces that are each 1/5 yards long. How many pieces can he cut from the 2/3 yard long strip?
B
Karen measured 2/3 cup of milk for a recipe. She then added another 1/5 cup of the milk to the recipe. How much milk did Karen use in the recipe?
C
Jasmine bought some tiles to put around her patio. Each tile has a length of 2/3 foot and a width of 1/5 foot. What is the area, in square feet, of each tile?
D
Lucas’s kitten is 2/3 foot tall. Jake’s kitten is 1/5 foot taller than Lucas’s kitten. How tall is Jake’s kitten?

Answers

C. Jasmine bought some tiles to put around her patio. . .

They asked for area which is always L x W, which was the give away.

What is 3x5+2x8+2 do you know

Answers

Parenthesis
Exponents
Multiplication/division
3x5=15
2x8=16
15+16+2
33

anna has 12 quarters 4 dimes 11 nickels in her piggy bank. how much money is in the bank
A) $3.00
B) $3.25
C) $3.75
D) $3.95

Answers

12*0.25=3
4*0.10=0.40
11*0.05=0.55
3+0.40+0.55=$3.95
the answer is d. 12 quarters equal $3, 4 dimes equal $.40 and 11 nickels equal $.55

G(4)=x^2 + 3

And the steps to solve, please.

Answers

okay, so plug in 4 into all x

G(4) = (4)^2 + 3
G(4) = 16 + 3
G(4) = 19

your answer is 19

hope this helps
in this type of question, you just need to replace all the X in the equation with 4 and finish the rest of the calculation like usual

G(4)=x^2 + 3

G(4) = 4^2 + 3

G(4) = 16 + 3

G (4) = 19

What does 5/9-2/3x(-1/4)=

Answers

5/9 - 2/3 * (-1/4)=
5/9 + 1/6=
(10 + 3)/18 =
13/18

5d - 1 = -11
What is d?

Answers

5d - 1 = -11

5d = -11 + 1

5d = -10

d = -10/5

d = -2

hope this helped, God bless!
The answer is D= -2
Hope this helps :)

19.5% to a fraction

Answers

19.5% = .195
.195 = [tex] \frac{39}{200} [/tex]
39/200 that is the fraction.

ryan has a board that is 5 feet long. how many 1/3-foot sections can he cut from this board?

Answers

Ryan can cut 15 pieces from the board

Answer:

15

Step-by-step explanation:

What is the area of figure EFGHI below?

Answers

Answer:

The answer is C.

Step-by-step explanation:

I learned about it.

9n+21−3n−24 simplify

Answers

Alright First you combine the like terms. 
9n - 3n = 6n 
21 - 24 = -3 

Rewrite the simplified equation
6n - 3 = 0

Solve for n 
6n = 3 
n = 3/6 
n = 1/2 

Ask if you need more help! :)

HURRY MATH QUESTION DOWN BELOW

Answers

The answer should be 18/54

What is the equation of the graphed line?


enter answer in slope-intercept form in the box

Answers

The answer:
y= -9/8x+7

Answer:

[tex]y=-\frac{9}{8}x+7[/tex]

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

[tex]b=7[/tex] ------> because the point [tex](0,7)[/tex] is the y-intercept

point [tex](8,-2)[/tex]

substitute the value of x , y and b in the equation to solve for m

[tex]y=mx+b[/tex]------> [tex]-2=m(8)+7[/tex]

[tex]m(8)=-2-7[/tex]

[tex]m=-9/8[/tex]

therefore

the equation is equal to

[tex]y=-\frac{9}{8}x+7[/tex]

Given f(x)= -4x+7, find f(1)

Answers

Hi there!

To find f(1), plug in x=1 into the equation
f(1) = -4(1) + 7
= -4 + 7
= 3
That's your answer.
Have an awesome day! :)

From your friendly Helper-in-Training, collinjun0827
You replace x with 1, so this looks like:
-4(1) + 7 
-4 * 1 also equals -4, so, -4(1) + 7 = -4 + 7. -4 is the slope (down 4 to the left 1), and 7 is the y-intercept, so there should be a point on 7 on the up and down line which is y.

A keyboard is on sale for $676. If this price represents a 20% discount from the original price, what is the original price to the nearest cent?

Answers

original price is $811.2 because $676 x 1.2 = $811.2

Every day a zookeeper feeds 4 adult gorillas a total of 160 lb of food. At this rate HOW many pounds of food would the zookeeper need everyday to feed 6 adult gorillas

Answers

Ur total will be 240 lb of food bc if u have 1 adult gorilla a total of 40 u just do 40 *6

Wilbur went to the Halloween costume party at the Teen Center dressed as Romeo. Wendy was at the same party dressed as Juliet. As fate would have it, their eyes met across the crowded room, and they instantly fell in love. (Cheesy, right?) Unfortunately, they never got to talk to each other at the party and have been trying to find each other ever since! Wilbur went back to the Teen center 2 days after Halloween and goes back there every 13th day hoping to find his Juliet. Wendy went back to the Teen Center four days after Halloween and goes back there every 17th day looking for her beloved Romeo. When will they miss each other by just one day?
When will the meet?

Answers

I think this is fake but ima say my answer anyway subtract 17 by 14 and u have ur answer I think I don't think this is a math question but, little tiny tottie Middle schoolers have it different in highschool so I don't know.

Solve for x. 4.6x<−15.64 Enter your answer, as an inequality, in the box.

Answers

If you would like to solve 4.6 * x < - 15.64 for x, you can use the following steps:

4.6 * x < - 15.64      /4.6
x < - 15.64/4.6
x < - 3.4

The correct answer would be x < - 3.4.

The value of x in expression 4.6x < -15.64 will be equal to x < -3.4.

An expression 4.6x < -15.64 is given in the question.

We have to find that what will be the value of x.

What do you mean by inequalities ?

Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.

As per the question ;

The given expression is ;

4.6x < -15.64

Let's solve it to get the value of x.

4.6 x < -15.64

⇒ x < -15.64 / 4.6

x < -3.4

Thus , the value of x in expression 4.6x < -15.64 will be equal to x < -3.4.

To learn more about inequalities click here ;

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Which of the following is not a possible value for a probability?

A. 0.001
B. 1/10
C. 11/10
D. 1/16

Answers

C, 11/10 is not a possible value for probability, as it is not an actual situation one could be in. For example, if you can get a maximum of ten questions correct on your quiz, and you get eleven correct, that would no make much sense in the real world, unless if you consider extra credit an "extra question."
C. 11/10

probability takes values from 0 to 1.

Round 28.26 to one decimal place

Answers

28.26
(Use 0.2 to round 8.0)
2 is less than 5 so keep the number as :

28

Hoped I helped!
The answer is 28.3. All you have to do is go up a number in the tenths place if the number in the hundredths is 5 or larger. The tenths stays the same if it's 4 or lower.

George ran 1.1 miles, took a break, and then ran 2.1 more miles. How many meters did George run in all?

Answers

First, you would need to calculate how many miles George ran.
1.1 mi + 2.1 mi = 3.2 mi

Now, 1 mile = 1,609.34 meters, so you would multiply the number of meters per mile by the number of miles. 
3.2 × 1,609.34 = 5,149.9 meters

George ran 5,149.9 meters in all. 

I hope this helps!

Patricia donated 1 pint of blood to the blood bank. The lab assistant divided Patricia’s blood equally into 3 bags.



How much blood was in each bag?







Answers

0.333333333 US pints would be in each bag.

Each bag contained [tex]\(\frac{1}{3}\)[/tex] pint of blood.

To solve the problem, we need to divide the total amount of blood donated by Patricia equally into 3 bags. Patricia donated 1 pint of blood.

Since there are 3 bags, we divide 1 pint by 3 to find out how much blood is in each bag.

The calculation is as follows:

[tex]\[ \text{Blood per bag} = \frac{\text{Total blood donated}}{\text{Number of bags}} \][/tex]

[tex]\[ \text{Blood per bag} = \frac{1 \text{ pint}}{3} \][/tex]

[tex]\[ \text{Blood per bag} = \frac{1}{3} \text{ pint} \][/tex]

Therefore, each bag contains [tex]\(\frac{1}{3}\)[/tex] pint of blood.

Show how to multiply 6x298 using friendly numbers and then using properties and mental math. Write about which method you like better and why

Answers

Rewrite 6*298 as 6(300-2).  Mult 300 by 6:  result is 1800.  Mult -2 by 6; result is -12.  Thus, 6*298 = 1800-12 = 1788.

You could also estimate the answer by mult. 6 and 300.  The result is, of course, 1800.

what is the square root of 49/121?

Answers

The square root of 49/121 is 0.05785123966
Rewrite using the quotient rule for radicals.√49√12149121Simplify the numerator.Tap for fewer steps...Rewrite 4949 as 7272.√72√12172121Pull terms out from under the radical, assuming positive real numbers.7√1217121Rewrite 121121 as 112112.7√1127112Pull terms out from under the radical, assuming positive real numbers.711711The result can be shown in both exact and decimal forms.Exact Form:7/11Decimal Form:0.63 repeating
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