Loquan has 2 pieces of fabric, each measuring 3 & 1/4 feet long. How many feet of fabric does Loquan have in total?

The best way to do this is to convert the mixed numbers into improper fractions. Improper fractions are when the numerator is greater than the denominator. An example of an improper fraction would be 5/4. Since 4/4 is one whole that means 5/4 as a mixed number would be 1 1/4. I'll use the expression 3 1/4 + 5 2/9 as an example.

3 1/4 is 3 wholes and 1/4 left over. We know that 4/4 is 1 whole so to find 3 holes we multiply the 1 by 3. 4 x 3 =12 so there are 12/4 in 3 holes. We then add the leftover 1/4 to get 13/4 as our first number.

For the second number, we have 5 2/9. This one is a bit harder. We know that 9/9 is in one whole, but how do we find how many are in 5 wholes? We can use multiplication. 1x 5=5. 5 x 9 =45. That means we have 45/9 in 5 holes. Add the leftover 2/9 to have 47/9 as our 2nd number.

Now that we have these two improper fractions, what do we do with them? The two numbers we are working with are 13/4 and 47/9. We need to find the common denominator. The common denominator is when both fractions have the same bottom number. If two fractions have different denominators we cannot add them.

To make the denominators the same, let's find a common multiple. A common multiple is a number that is a product of all chosen numbers. This is kind of confusing but another way to think of a common multiple is a number that is divisible by all chosen numbers. Take the two denominators and multiply them. 9x4=36. 36 is a common multiple of both 9 and 4 because both of them can go into 36 without being a decimal or a fraction.

To convert the fractions we multiply again. Whatever you do to one side you must always do to the other. In 13/4 we multiplied 4x9 to get 36. So now we multiply the numerator 13x9 to get 117. That means we have 117/36. We multiplied 9x4 to also get 36. So our numerator for our second number is 47x4=188 or 188/36.

Now we have 117/36 and 188/36. We add them together like normal and get 305/36. In some cases you'd need to simplify it, but for the example equation I used this is already the fraction's lowest form. I hope this helped! Comment if you need another example or have any questions! :)

Answer:

PDF for a continuous random variable is given. Use the PDF to find (a) and the CDF.

Answer:

I want to say 900 many sorry if it's wrong

Answer:

1/8

Step-by-step explanation:

I took the test this is it

Answer:

60% of the people surveyed were satisfied with the car

Step-by-step explanation:

1140 satisfied people / 1900 total people = 0.60 = 60% satisfied people

Answer:

75.36

Step-by-step explanation:

 Using the formula C = 2πr, we can calculate circumference.

Since we are using 3.14 for π, we plug that and the radius in.

C = 2(3.14)(12).

When you multiply all that you get 75.36

Answer:

Step-by-step explanation:

The answer is 65. You just add the number of computer towers that fall into that category. So your sum would look like this:

Divisor: 5+ 12 + 21 + 15 + 12 = 65

The question does not ask you to do any more than figure out what you will be dividing by. Thank goodness it does not ask what you will be dividing into which is a whole lot more complicated problem.

Answer:

hi there !

The answer is "30/40"

because by dividing each nominator and denominator by "10" it gives 3/4

Answer:

∠4 = 135°

Step-by-step explanation:

∠4 = the sum of the two remote angles in the triangle.  (remote angles are the angles not  next to ∠4

∠4 = 80° + 55°

∠4 = 135°

Answer:

<4 = 135

Step-by-step explanation:

I took this test

Answer:

Step-by-step explanation:

1. False

2. False

3. True

4. True

5. True

6. True

7. True

8. True

9. True

The value of x must be less than zero for the expression to make sense

The value of x must be less than zero for the expression to make sense

The value of x must be greater than zero for the expression to make sense

For each of the expressions to make sense, the values inside the square root must be greater than zero.

For the expression [tex]\sqrt{-2x^2}[/tex]

-2x^2 > 0

x^2 < 0/-2

x^2 < 0

x < 0

The value of x must be less than zero for the expression to make sense

For the expression [tex]\sqrt{(-2x)^3}[/tex]

(-2x)^3 > 0

-8x^3 > 0

x^3 < 0/-8

x^3 < 0

x < 0

The value of x must be less than zero for the expression to make sense

For the expression [tex]\sqrt{(-2x)^2}[/tex]

(-2x)^2 > 0

2x^2 > 0

x^2 > 0

x > 0

The value of x must be greater than zero for the expression to make sense

Learn more on inequality here: https://brainly.com/question/24372553

Answer:

D). 0.1x+99=149.30

How many songs Tyna Bought:

503 songs

Step-by-step explanation:

Since the membership fee is 99 you don't have to pay for it again

(Until next year that is)

Now it states that every download cost 10 cents or $0.1

So we don't know how many she will buy so we can replace that unknown value with x

So the equation is

0.1x+99=149.30

To solve this you first subtract 99 on both sides:

Which will result in

0.1x=50.3

Divide 0.1 on both sides

So Tyna bought 503 songs

(HOLY THAT IS A LOT OF SONGS)

Hope this Helps!

Answer:

Step-by-step explanation:

they are prime to eachother.

There is only one common factor .i.e.,1

45=1×3×3×5

272=1×2×2×2×2×17

Answer:

X = 19/24

Step-by-step explanation:

Move the constant: 4x = 5/3 + 3/2

Add The Fractions: 5/3 + 3/2 = 19/6

Divide Both sides by 4: 4x/4 = 0. 19/6 ÷ 4 = 19/24

Answer:

A\ B=-30

Step-by-step explanation:

Y=mx +b, Y=10,X=2 ,m=4

10=4*10+b

10=40+b

-40+10=b

b=-30

I GUESS...

Answer:

y=-4x+18

Step-by-step explanation:

y-y1=m(x-x1)

y-10=-4(x-2)

y=-4x+8+10

y=-4x+18

Step-by-step explanation:

i am very sorry but I don't know the answer

Answer:

.6 miles

Step-by-step explanation:

Answer:

0.6 miles

Step-by-step explanation:

6 × t = 4 × (15 - t)

6t = 60 - 4t

6t + 4t = 60 - 4t + 4t

10t = 60

t = 6

6 × [tex]\frac{1}{10}[/tex] = 0.6

Answer:

c

Step-by-step explanation:

each shape has one more side than the other

the last shape in the pattern so far has 5

the shape at letter c has 6

therefore it is c

The ordered pair to represent how many miles Jim runs and bikes in 5 weeks is (3.33, 5)

From the question, we have the following parameters that can be used in our computation:

Every week Jim runs 8 miles and bikes 12 miles.

This means that we have the ratio

Run : Bike = 8 miles : 12 miles

When he bikes for 5 weeks, we have

Run : 5 weeks = 8 miles : 12 miles

This gives

Run/5 weeks = 8/12

So, we have

Run = 5 weeks * 8/12

Evaluate the products

Run =  3.33 weeks

Hence, the number of weeks is 3.33 and the ordered pair is (3.33, 5)

Read more about ordered pairs at

https://brainly.com/question/31704761

#SPJ1

Answer:

1. given

2. inscribed circle theorem

3. substitution

4. definition of congruent angles

Answer:

The next two numbers following:

431

141311

1114111321

311431131211

are:

132114132113111221

AND

11131221141113122113312211

Step-by-step explanation:

I shall explain the pattern below:

431 (just the digits 4, 3, and 1)

141311 (one 4 becomes 14, one 3 becomes 13, one 1 becomes 11 -> looking at each digit of the previous number, 431)

1114111321 (one 1 becomes 11, one 4 becomes 14, one 1 becomes 11, one three becomes 13, two consecutive 1s becomes 21 -> looking at each digit of the previous number, 141311)

311431131211 (three consecutive 1s becomes 31, one 4 becomes 14, 3 more consecutive 1s becomes 31, one 3 becomes 13, one 2 becomes 12, and one 1 becomes 11 -> looking at each digit of the previous number, 1114111321)

NEXT TWO NUMBERS:

one 3 (13), two consecutive 1s (21), one 4 (14), one 3 (13), two consecutive 1s (21), one 3 (13), one 1 (11), one 2 (12), two consecutive 1s (21)

that makes: 132114132113111221

one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 4 (14), one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 3 (13), three consecutive 1s (31), two consecutive 2s (22), one 1 (11)

that makes: 11131221141113122113312211

The rule is that the next number is essentially the previous number with the number of times each digit appears consecutively before each digit of the previous number. I know that sounds convoluted. Hopefully it makes enough sense. Let me know if I should explain more fully.

Answer:

y = - [tex]\frac{10}{3}[/tex] x - 23

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 7 ) and (x₂, y₂ ) = (- 6, - 3 )

m = [tex]\frac{-3-7}{-6-(-9)}[/tex] = [tex]\frac{-10}{-6+9}[/tex] = [tex]\frac{-10}{3}[/tex] = - [tex]\frac{10}{3}[/tex] , then

y = - [tex]\frac{10}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 6, - 3 ) , then

- 3 = 20 + c ⇒ c = - 3 - 20 = - 23

y = - [tex]\frac{10}{3}[/tex] x - 23 ← equation of line

Answer:

y= -10x/3 + 1

Step-by-step explanation:

gradient of a line= (Y2-Y1)/(X2-X1)

= (-3-7)/[-6-(-9)]

=-10/3

equation of a line

(Y-Y1)/(X-X1)= gradient

(Y-7)/(X+9)= -10/3

3(Y-7)= -1d0(X+9)

3y-21= -10x -19

3y= -10x + 3

dividing both sides by 3

y= -10x/3 + 1

Answer:

  9, 9√2

Step-by-step explanation:

The ratios of side lengths in a 45°-45°-90° triangle are ...

  1 : 1 : √2

The other leg is the same as the first, and the hypotenuse is √2 times that.

The other sides are 9 and 9√2.

Applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°

Recall:

Corresponding angles are congruent, that is, their angle measures are equal based on the corresponding angles theorem.

The diagram given, showing triangle KLM is in the image attached below.

m∠MLK and m∠MON are corresponding angles, therefore:

m∠MLK =m∠MON

3 x + 75 = 93 − 3 x

3x + 3x = 93 - 75

6x = 18

x = 3

m∠MLK = 3 x + 75

m∠MLK = 3(3) + 75

m∠MLK = 84°

Therefore, applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°

Learn more about the Corresponding Angles Theorem on:

https://brainly.com/question/5221905

Answer:

1) 3:8

2)5:7

3)4:5

4)1:3

5)2:3

6)11:18

Answer:

96.5%

Step-by-step explanation:

Answer:

241250000 cars aren't diesel (Basically 96.5%)

Step-by-step explanation:

250 million = 250000000

If we are talking about the percentage of cars that aren't diesel, we have two ways of solving this. (I'm gonna solve for not just percentage but for amount too)

1. Find out the percentage that isn't diesel by subtracting 3.5% from 100% and then multiplying the answer to get the result.

or

2. We find out what 3.5% of 250 million is and then subtract that from 250 million

Now to make this short, I will do the first one.

100-3.5 = 96.5

96.5% x 250,000,000 = 241250000

Answer:

Step-by-step explanation:

seven options 1, 2, 3, 4, 5, 6, 7

three successes for it being even. 2, 4, 6

odds are 3:7 of against randomly drawing an odd numbered ball.

Check the picture below.