3 1/4 yards of fabric costs $27.95. what is the cost per yard

Answer:

8/ 8  is  1 /1

Step-by-step explanation:

8 ÷ 8  

8 ÷ 8

Reduced fraction:  

1 /1

Answer:

13.2 liters

Step-by-step explanation:

Answer:

13.2489412

Step-by-step explanation:

Answer:

HJ = 33

Step-by-step explanation:

Given that point I is on segment HJ, then

HJ = HI + IJ ← substitute values

3x - 9 = x + x + 5, that is

3x - 9 = 2x + 5 ( subtract 2x from both sides )

x - 9 = 5 ( add 9 to both sides )

x = 14

Hence

HJ = 3x - 9 = (3 × 14) - 9 = 42 - 9 = 33

The numerical length of HJ is 33

The given parameters;

distance of HI = x

distance of HJ = 3x - 9

distance of IJ = x + 5

To find:

A sketch of the positions of the line segments is shown below;

|<-----x------->|<--------------------------x+5------------------------------>|

H---------------I----------------------------------------------------------------J

The value of x will be calculated by setting up the following equation;

HI + IJ = HJ

x + x + 5 = 3x - 9

2x + 5 = 3x - 9

collect similar terms together;

2x - 3x = -9-5

-x = -14

x = 14

The numerical length of HJ is calculated as;

HJ  = 3(14) - 9

HJ = 42 - 9

HJ = 33

Thus, the numerical length of HJ is 33

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Answer:

x-1÷2/5=x+1÷3/5

Step-by-step explanation:

Hint: Is means equals.

Answer:

C

Step-by-step explanation:

Natural numbers are 1, 2, 3, 4, and so on, whole numbers are 0, 1, 2, 3, and so on, integers are natural and whole numbers and their opposites (for example, the opposite of 2 is negative 2), and rational number all those and fractions and terminating/repeating decimals.

So basically, -1.4 is an integer and a rational number. Hope that helps!

Answer:

b) 3

Step-by-step explanation:

4.5+1.5x=18-3x

1) Subtract 4.5 from both sides:

1.5x=13.5-3x

2) Add 3x to both sides:

4.5x=13.5

3) Divide both sides by 4.5:

x=3

Answer:

120 degrees

Step-by-step explanation:

These are called supplementary angles. These are angles that add up to 180 degrees.

To solve this, you need to know that a triangle's interior angles should all add up to 180 degrees, no matter how weird the triangle looks.

For squares and other stuff it's 360 degrees

But as shown, all three interior angles of this triangle are the same. This means each of them is 60 degrees.

60 + 60 + 60 = 180

-----------------------------------------------------------------------------------------------------------------

To find X, we know that the angle of a straight line is 180 degrees. Since X and that one interior angle share the same line,

we subtract 60 from 180 to get the remaining angle of X.

180 - 60 = 120 degrees.

Answer:

The answer is 10.

Step-by-step explanation:

Multiply both sides of the equation by 12.

12( 3/4x - 5/6) = 12 times 2/3x.

Distribute 12 through the parenthesis.

12 times 3/4x - 12 times 5/6 = 12 times 2/3x.

Reduce the numbers with greatest common divisor 3.

12 times 3/4x - 12 times 5/6 = 4 times 2x.

Reduce the numbers with greatest common divisor 4.

3 times 3x - 12 times 5/6 = 4 times 2x.

Reduce the numbers with greatest common divisor 6.

3 times 3x - 2 times 5 = 4 times 2x.

Calculate the product, 4 times 2x.

3 times 3x - 2 times 5 = 8x.

Calculate the product 3 times 3x.

9x - 2 times 5 = 8x.

Multiply the numbers - 2 times 5.

9x -10 = 8x.

Move the constant to the right by adding its opposite to both sides.

9x - 10 + 10 = 8x + 10.

Eliminate the opposites, -10 + 10.

9x = 8x + 10.

Move the variable to the left by adding its opposite to both sides.

9x -8x = 8x -8x + 10.

Now eliminate the opposites

9x - 8x = 10.

Collect the like terms by subtracting their coefficients.

(9-8)x

Subtract the numbers.

1x.

When the term has a coefficient of 1, it doesn't have to be written, so it's basically x.

Then, x will equal to 10!

Answer:

The measure of angle 1 is 52° and the measure of angle 2 is 38°

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

Let

x ----> the measure of angle 1

y ----> the measure of angle 2

we know that

[tex]x+y=90\°[/tex] -----> equation A

[tex]y=\frac{x}{2}+12[/tex] ----> equation B

Substitute equation B in equation A and solve for x

[tex]\frac{x}{2}+12+x=90\°[/tex]

[tex]\frac{x}{2}+x=90\°-12\°[/tex]

[tex]\frac{3x}{2}=78\°[/tex]

[tex]x=(2)78/3=52\°[/tex]

Find the measure of y

[tex]y=\frac{52}{2}+12=38\°[/tex]

therefore

The measure of angle 1 is 52° and the measure of angle 2 is 38°

The two acute angles in the triangle are 52° and 38°. This is found by setting up and solving two equations based on the problem's conditions.

This question is about solving an equation related to two acute angles in a triangle. Let's denote the smaller angle as 'x' and the larger angle as 'y'. Since the two angles are complementary, we can write an equation like 'x + y = 90'. The problem states that one angle is 12° more than half the other. We can formulate this as 'y = x/2 + 12'. To solve for 'x' and 'y', we need to substitute 'y' from the second equation into the first one to get 'x + x/2 + 12 = 90'. Multiplying through by 2 to eliminate the fraction gives '2x + x + 24 = 180', which simplifies to '3x = 156'. Solving for 'x' gives 'x = 52'. Substitute 'x' into either of the original equations gives 'y = 52/2 + 12 = 38'. Thus, the two acute angles in the triangle are 52° and 38°.

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Answer:

0.2

Step-by-step explanation:

first you do 1÷5 which is 0.2

and since it has an end it is terminal

examples of terminal decimals: 0.2, 0.34, 0.4356, ect

examples of repeating: 0.3333333333..., 0.4343434343434343434343...,0.25555555555..., ect

To convert into decimals, perform division between the numerator and the denominator. The resulting decimal can either be terminating (ends after a few digits) or repeating (has a pattern that infinitely repeats), based on the values used. Multiply by powers of ten to move the decimal point to the right accordingly.

To convert a fraction or a different numerical format into a decimal, we can employ the concept of division. Essentially, you can divide the numerator (top number) by the denominator (the bottom number) to produce a decimal. Now, whether this decimal is terminating or repeating depends on the values of the numerator and denominator.

As an example, let's consider the fraction 1/2. If we do the division, we get 0.5. Since there are no further digits after 0.5, we can say that it is a terminating decimal.

On the other hand, if we consider a fraction like 1/3, the decimal representation will be 0.3333..., and the 3s will continue indefinitely. This is a repeating decimal.

Regarding the pattern you referred to, it's used for multiplying a decimal by powers of ten. Count the zeros in the power of 10 and then move the decimal point in your number that many places to the right.

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Answer:Prime factorization:  

135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5. 1 + 3 + 5 = 9. Nine is a multiple of both 3 and 9, so this quick divisibility trick lets us know that both 3 and 9 are factors of 135. 135 = 1⁵ x 3³ x 5¹.

Answer:

The answer is three times 3.

Step-by-step explanation:

In order to determine the answer, we have to know about factorization.

Any number can be expressed by prime numbers. The procedure is:

In this case, we need to know how many factors of 3 have the number.

[tex]135/3=45\\45/3=15\\15/3=5\\5/5=1\\\\135=3^3*5[/tex]

As we can see, there are three times the factor 3.

Finally, the answer is three times 3.

The answer would be the fourth option. A linear function would be like a adding rule. For example +4 on the left side and +1 on the other side. In this case the answer would be the fourth option because the adding rule is +1 and +2.

Hope this helps.

the Answer is

4.3213647e+12

Answer:

7.75 or 7 3/4

Step-by-step explanation:

2 1/2 + 1 1/2 = 4

4 + 3 3/4 = 7 3/4

7 3/4 = 7.75

either works

Let me break this down with what we know like:

-David + Henry + Peter = 123kg

-Peter is 15kg heavier than David

-David is 3kg lighter than Henry

Now that we know this we can break things down.

The ratio of the 3 people is this:

- (0:3:15)=(David:Henry:Peter)

And these 3 numbers are equivalent to 18+ start with a increase of 3 every weight plus added to find all 3 of their weights, so if there is an increase of 3 and a start of 18 then we can make an equation for example:

123kg = 3x + 18

105 = 3(35)

105 = 105

So we know all 3 other than the info we knew from before which is about 11.6, So if all of them have about 11.6. So everyone's weight would be:

-David is about 11.6kg

-Henry is about 14.6kg

-Peter is about 26.6kg

Hope this helps ^^

Answer:

3D=123-18.

D=35

so David(D)=35

Peter(P)= 15 + 35=50

so (P)=50

and henry(H)=D+3= 35+3=38

Henry(H)= 38

Hey!

------------------------------------------

Formula: [tex]\sqrt{(x2 - x1) + (y2 - y1)^{2} }[/tex]

------------------------------------------

Solution:

[tex]= \sqrt{(-5 - 3) + (7 - 4)^{2} }[/tex]

[tex]= \sqrt{(-8) + (3)^{2} }[/tex]

[tex]= \sqrt{-5^{2} }[/tex]

[tex]= \sqrt{-25}[/tex]

= 5

------------------------------------------

Answer:

The distance between both points is 5 units.

------------------------------------------

Hope This Helped! Good Luck!

Answer: The integers are 75,76,77

Step-by-step explanation:

Answer: first ingeter is 75, second is 76, and third 77

Step-by-step explanation: 75 + 76 + 77 = 228

Answer:

729

Step-by-step explanation:

3 x 3 x 3 x 3 x 3 x 3 = 729

55

Step-by-step explanation:

Subtraction

Answer:

The measure of angle AOB is 36°

Step-by-step explanation:

- Point B is in the interior of ∠AOC

- That means angle AOB is a part of angle AOC

- Measure of angle AOC is 108°

- Measure of angle AOC is 3 times measure of angle AOB

- We need to find measure of angle AOB

* Lets solve the problem

∵ m∠ AOC = 3 m∠ AOB

∵ m∠ AOC = 108°

- Substitute m ∠AOC in the equation above

∴ 108 = 3 m∠ AOB

- Divided both sides by 3

∴ 36° = m∠ AOB

The measure of angle AOB is 36°

Answer: The measure of ∠AOB = 36°.

Step-by-step explanation:

Since we have given that

m∠AOC = 108°

and we need to find the measure of ∠AOB.

As we know that

[tex]m\angle AOC=3m\angle AOB\\\\108=3\angle AOB\\\\\dfrac{108}{3}=\angle AOB\\\\36^\circ=\angle AOB[/tex]

Hence, the measure of ∠AOB = 36°.

Answer:  The correct option is

(A) [tex]P(X)\times P(Y)=P(X\cap Y).[/tex]

Step-by-step explanation:  We are given to consider a situation in which X and Y are two events such that

[tex]P(X)=\dfrac{4}{5},~P(Y)=\dfrac{1}{4},~P(X\cap Y)=\dfrac{1}{5}.[/tex]

We are to select the statement that best describes the events X and Y.

We know that

any two events A and B are said to be independent if

[tex]P(A)\times P(B)=P(A\cap B).[/tex]

We have, for events X and Y,

[tex]P(X)\times P(Y)=\dfrac{4}{5}\times\dfrac{1}{4}=\dfrac{1}{5}=P(X\cap Y)\\\\\\\Rightarrow P(X)\times P(Y)=P(X\cap Y).[/tex]

Thus, X and Y are independent because [tex]P(X)\times P(Y)=P(X\cap Y).[/tex]

Option (A) is CORRECT.

Answer:

The dimensions of the frame must be 13 inches and 6 inches

Step-by-step explanation:

* Lets explain how to solve the problem

- The perimeter of any quadrilateral is the sum of the lengths of its sides

- The rectangle is a quadrilateral with each two opposite sides are

 equal so the perimeter of the rectangle = 2l + 2w, l and w are the

 length and the width of it

- Candice has 38 inches of trim

- She wants to make a picture frame

- The frame is shaped a rectangle where its length is 5 inches less

  than three times the width

- Assume that the length is l and the width is w are the dimensions

 of the frame

∵ l = 3w -5 ⇒ (1)

∵ The perimeter of the frame is the length of trim

∵ The length of the trim is 38 inches

∴ The perimeter of the frame is 38 inches

∵ Perimeter of the frame = 2l + 2w

∴ 2l + 2w = 38 ⇒ (2)

- Substitute equation (1) in equation (2)

∴ 2(3w - 5) + 2w = 38

- Multiply the bracket by 2 and add like terms

∴ 6w - 10 + 2w = 38

∴ 8w - 10 = 38

- Add 10 for both sides

∴ 8w = 48

- divide both sides by 8

∴ w = 6

- Substitute the value of w in equation (1) to find l

∵ l = 3w - 5

∴ l = 3(6) - 5 = 18 - 5 = 13

∴ l = 13

∵ l and w represent the length and the width of the frame

∴ The dimensions of the frame must be 13 inches and 6 inches

Answer with Step-by-step explanation:

Let one ⊕ represents fifteens.

Mathematically, we assume that

x represents fifteens

So, our equation becomes,

[tex]7x+38x\\\\=45x[/tex]

Model can be represented as :

7×⊕ + 15 ×⊕

=⊕⊕⊕⊕⊕⊕⊕ + ⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕

=⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕

Answer:

{x | x R, x ≤ 7 5/6 }

Step-by-step explanation:

we have

[tex]x-6\frac{1}{3} \leq 1\frac{1}{2}[/tex]

Convert mixed number to an improper fraction first

[tex]6\frac{1}{3}=\frac{6*3+1}{3}=\frac{19}{3}[/tex]

[tex]1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}[/tex]

substitute

[tex]x-\frac{19}{3} \leq \frac{3}{2}[/tex]

Multiply by 6 both sides to remove the fractions

[tex]6x-38 \leq 9[/tex]

Adds 38 both sides

[tex]6x \leq 9+38[/tex]

[tex]6x \leq 47[/tex]

Divide by 6 both sides

[tex]x\leq \frac{47}{6}[/tex]

convert to mixed number

[tex]\frac{47}{6}=\frac{42}{6}+\frac{5}{6}=7\frac{5}{6}[/tex]

substitute

[tex]x\leq 7\frac{5}{6}[/tex]

therefore

{x | x R, x ≤ 7 5/6 }

Answer: 145.96

Step-by-step explanation:

add them to gather8.3+ 5.2+4.36+42.1+86.0

The answer is choice B.

y = $465x + $1685