Write a real-world problem three yards of fabric will be cut into pieces so that each piece is 8 inches long.How many pieces can be cut?

Answer:

Step-by-step explanation:

500+400+200+10

Solution-

The table shows the number of touchdowns Luis scored during his football games.

Touchdowns scored (X) 0 1 2 3

Number of games (f)             6 10 7 5

Total games played = 6+10+7+5=28

1.

[tex]Probability\ of\ an\ event=\frac{Number\ of\ Favorable\ Outcomes}{Total\ Number\ of\ Possible\ Outcomes}[/tex]

[tex]P(X=0)=\frac{6}{28} \\ P(X=1)=\frac{10}{28} \\ P(X=2)=\frac{7}{28} \\ P(X=3)=\frac{5}{28}[/tex]

Probability Distribution Table,

Touchdowns scored (X) 0      1           2      3

Probability P(X)                      6/28    10/28  7/28    5/28

2.

The probability of Luis scoring 2 touchdowns(i.e when X=2),

P(scoring 2 touchdowns) = P(X=2)

[tex]=\frac{7}{28}=0.25[/tex]

3.

The probability of Luis scoring more than 1 touchdown(i.e when X>1)

P(scoring more than 1 touchdowns) = P(X>1) = P(X=2) + P(X=3)

[tex]=\frac{7}{28}+\frac{5}{28}=0.42[/tex]

4.

Estimated number of touchdowns is calculated by multiplying the number of touchdowns by their respective probabilities and adding the result.  

Estimated number of touchdowns is,

[tex]=0\times \frac{6}{28}+1\times \frac{10}{28}+2\times \frac{7}{28}+3\times \frac{5}{28}[/tex]

[tex]=0+\frac{10}{28}+\frac{14}{28}+\frac{15}{28}[/tex]

[tex]=\frac{39}{28}=1.39[/tex]

its d to check answer use symbolab its a great sight

-x-3y=-26

6x+3y=21

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

3y cancels out.

-x=-26

6x=21

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

5x=-5

x=-1

Answer:

Point B

Step-by-step explanation:

(X,Y)

(-3,2) If you first look on the x line, all the way to the negative section. You'll find -3, starting there you will go up to 2. Following the y line.

Answer:

B

Step-by-step explanation:

Answer:

It is midpoint, vertex, and medians in that order.

Hope this helps!

I know these are correct because I got them correct!

Answer:

midpoint, vertex, and medians

Step-by-step explanation:

To prove that the medians of an isosceles triangle meet at a point, show that the

✔ midpoint

 of a side lies on the line containing the opposite

✔ vertex

and the point where the other two

✔ medians

intersect.

Edginuity

-12x - 0.4 > 0.2(36.5x + 80) - 55    Remove the brackets.

-12x - 0.4 > 7.3x + 16 - 55               Combine the like terms on the right

-12x - 0.4 > 7.3x - 39                      Add 12x to both sides

- 0.4 > 7.3x + 12x - 39    

- 0.4 > 19.3x - 39                            Add 39 to both sides.

-0.4 + 39 > 19.3x                              Combine like terms on the left

38.6 > 19.3x                                    Divide by 19.3

38.6 / 19.3 > x

2 > x

2 hours and 13 mins hope this helps

To round 17,509 to the nearest thousand, you look at the hundreds digit. If it's 5 or above, you round up. Therefore, 17,509 rounded to the nearest thousand is 18,000.

To round the number 17,509 to the nearest thousand, we first need to look at the digit in the hundreds place; in this case, it's 5. In rounding, if this digit is 5 or above, we round up the preceding number. Since the digit in the hundreds place is 5, we round up the number in the thousand's place from 7 to 8 making the number 18,000. On the other hand, if the digit in the hundreds place was 4 or lower, we would keep the number in the thousands place the same. So, 17,509 rounded to the nearest thousand is 18,000.

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The speed of sound in scientific notation is 3.00 x 10⁸ m/s

speed of light, the speed at which light waves propagate through different materials. In particular, the value for the speed of light in a vacuum is now defined as exactly 299,792,458 meters per second.

Given here is the speed of sound is about thirty-four thousand centimeters per second. Therefore the speed of light in scientific notation is  3.00 x 10⁸ m/s

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Answer:

3.4 x 10^4 centimeters per second.

The denominator of a fractional exponent represents the degree of root.

For example

[tex]x^{\frac{1}{3}} = \sqrt[3]{x}\\x^{\frac{1}{4}} = \sqrt[4]{x}\\x^{\frac{1}{5}} = \sqrt[5]{x}[/tex]

The denominator of a rational exponent represents the root or nth root of the base number. It is expressed in the form of a fraction where the numerator represents the power and the denominator represents the root or nth root. Rational exponents are used in simplifying expressions and performing calculations involving roots and powers.

The denominator of a rational exponent represents the root or nth root of the base number. A rational exponent is expressed in the form of a fraction, where the numerator represents the power to which the base is raised, and the denominator represents the root or nth root. For example, in the rational exponent 3/2, the base number is raised to the power of 3 and then the cube root is taken.

When the numerator of the rational exponent is 0, it signifies that the number is raised to the power of 0, which always results in 1. On the other hand, when the denominator is 1, it signifies that there is no root involved, and the number is simply raised to the power indicated by the numerator.

Understanding rational exponents is essential in simplifying expressions, solving equations, and performing calculations involving roots and powers.

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The correct answer is y=−1/16

Answer:

A. [tex]y=-\frac{49}{16}[/tex]

Step-by-step explanation:

Since, the directrix of a parabola [tex](x - h)^2 = 4p (y - k)[/tex] is,

y = k - p

Here, the given parabola,

[tex]\frac{1}{4}(y+3)=(x-2)^2[/tex]

By comparing,

We get,

k = - 3,

[tex]4p=\frac{1}{4}\implies p=\frac{1}{16}[/tex]

Hence, the directrix of the given parabola is,

[tex]y=-3-\frac{1}{16}[/tex]

[tex] y=\frac{-48-1}{16}[/tex]

[tex]\implies y = -\frac{49}{16}[/tex]

Option 'A' is correct.

Answer: 684 divided by 57=12

Step-by-step explanation:(with reference to the figure)

To find  684 divided by 57 by partial quotients .

Here dividend= 684 and divisor =57

Step 1: Write easy factors of divisor that is nearest to the dividend as follows

57×2=114

57×3=171

57×5=285

57×10=570(nearest easy factor)

Step 2: Now subtract 570 from 684 ,we get 114 then subtract 114=57×2 from it we get 0.

Step 3: Adding the factors we have used in step 1 and 2 ,it will give required quotient=10+2=12

i.e. 684=57(10)+57(2)

The question in English

A small farmer in the interior of Par, when measuring his rectangular terrain, realized that his dimension is in reason 5/7. If the terrain area is 2240 m2, then its largest dimension in meters is

Let

x--------> the smallest dimension of the rectangular terrain

y--------> the largest dimension of the rectangular terrain

we know that

the area of the rectangular terrain is

[tex]A=x*y[/tex]

[tex]A=2,240\ m^{2}[/tex]

so

[tex]2,240=x*y[/tex] -------> equation A

[tex]\frac{x}{y}=\frac{5}{7}[/tex]

[tex]x=\frac{5}{7}y[/tex] -------> equation B

substitute the equation B in equation A

[tex]2,240=[\frac{5}{7}y]*y\\\\5y^{2}= 15,680\\ \\y^{2}=3,136\\ \\y=56\ m[/tex]

therefore

the answer is the option D

[tex]56\ m[/tex]

1. 2x³ - 11x² + 13x - 21   ÷   x - 3

x - 3 = 0   ⇒ x = 3

3   |   2   -11   13   -21

    |   ↓    6   -15    -6

        2   -5    -2    -27

1. Answer: 2x² - 5x - 2 - [tex]\frac{27}{x - 3}[/tex]

*************************************************************

2. 3x³ + 7x² - 13x + 10   ÷   x + 2

x + 2 = 0   ⇒   x = -2

-2  |   3    7   -13    10

    |   ↓   -6    -2    30

        3    1    -15    40

2. Answer: 3x² + x - 15 + [tex]\frac{40}{x + 2}[/tex]

3. 2x³ + 13x² - 21x + 9   ÷   x - 1

x - 1 = 0   ⇒   x = 1

1  |   2    13   -21     9

    |   ↓     2    15    -6

        2    15    -6    3

3. Answer: 2x² + 15x - 6 + [tex]\frac{3}{x - 1}[/tex]

4. 7x³ + 0x² - 8x + 16   ÷   x - 2

x - 2 = 0   ⇒   x = 2

2  |   7    0     -8     16

    |   ↓    14    28    40

        7    14    20    56

4. Answer: 7x² + 14x + 20 + [tex]\frac{56}{x - 2}[/tex]

5. 8x⁴ - 14x³ - 71x² - 10x + 24   ÷   x - 4

x - 4 = 0   ⇒   x = 4

4  |   8   -14   -71    -10    24

    |   ↓    32    72     4   -24

        8    18       1     -6     0

5. Answer: 8x³ + 18x² + x - 6

Hi there!

To find the average speed of a moving object all you need to do is divide the distance traveled by the object by amount of time it took the object to reach its final destination. So for this problem it would go like this:

325 ÷ 5 = 65

So for this problem in particular the answer is 65 MPH was the average speed of the train.

Your friend, ASIAX

Divide the total amount made with the amount of hours worked

Ruth makes $35 working 5 hours

35/5 = 7

Ruth makes $7 an hour

Now multiply 7 with 8

7 x 8 = 56

Ruth makes $56 in 8 hours

~Rise Above the Ordinary

Your answer will be (x-4y)(x+3y)

To factor the polynomial x^2-xy-12y^2, we rewrite the polynomial, recognize the common numbers that add to -1 and multiply to -12, factor by grouping, and finally factor out the common binomial term to get the final answer: (x-4y)(x+3y).

To factor the polynomial x^2-xy-12y^2, first you need to recognize that this is a quadratic equation in the form of ax^2+bx+c. Here, a=1, b=-1, and c=-12y^2. The next step involves factoring this quadratic equation. The standard method for factoring such an equation would be to find two numbers that add to b (the coefficient of x) and multiply to c (the coefficient of y^2).

In this case, we are looking for two numbers which add to -1 and multiply to -12. Those numbers are -4 and 3. Therefore, we can rewrite the middle term of the equation (xy) as (-4xy + 3xy). So the equation becomes x^2-4xy+3xy-12y^2.

Now, we can factor by grouping, which means factoring out common factors from each of the two groups: x(x-4y)+3y(x-4y). Finally, we can factor out the common binomial term to get the factored form of the polynomial: (x-4y)(x+3y).

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This question is based on multiplication.

Given situation is -

by recycling 1 ton of paper , the amount of water saved is = 6953 gallons

So, by recycling 4 tons of paper , the amount of water saved will be=

[tex]6953*4[/tex]

= [tex]27812[/tex] gallons

Hence, 27812 gallons of water are saved by recycling 4 tons of paper.

[tex]3x\geq3\qquad|\text{divide both sides by 3}\\\\x\geq1\\---------------------------------\\\\9x < 54\qquad|\text{divide both sides by 9}\\\\x < 6\\\\Answer:\ 1\leq x < 6\to\ graph\ c)[/tex]

The answer is C. Because A. has the wrong length for its numbers, B. has to much space in between it for negative numbers, and D. is just so wrong I can not even explain it! Hope that this was helpful have an awesome day!

1 1/3 cups of raisins are needed to make 1/2 of a recipe

To find the quantity of raisins for half of the recipe, which originally called for 2 2/3 cups, you'd divide 2 2/3 cups by 2, which equals 1 1/3 cups.

This is a question about fractions and division. If a full recipe requires 2 2/3 cups of raisins and you want to make just 1/2 of the recipe, you need to divide the quantity of the raisins by 2.

In fraction form, 2 2/3 is equivalent to 8/3 (as 2*3 + 2 = 8). Then, to find half of this amount, we divide 8/3 by 2. We can do this by multiplying 8/3 by 1/2, which gives us 4/3. Therefore, 1/2 of the recipe requires 4/3, or 1 1/3 cups of raisins.

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Whenever you add a rational and an irrational number, the result is an irrational number.

So, since 3/4 is rational, if you add any irrational number you will get an irrational number as a result.

The graph which  represents the equation y = -2x+3 is Option (B)

A straight line , say y = mx + c can be plotted on the graph by checking its y intercept (c), slope of the following curve (m) and satisfying the points on the x and y coordinates of the following graph.

Following these simple steps, we can easily plot the graph for any straight line.

The equation given is y = -2x + 3 .

First of all the graph will have a negative slope as the slope of the straight line is -2 .

Checking the graph in Option (B), we have

Slope of the curve = -2

Putting the points (0,3) and (1,1) in the following equation of curve ,  

y = -2x + 3 , both satisfies.

Thus the graph in Option (B) represents the equation of the straight line.

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To factor the expression 5ac + 10ab - 2c^2 - 4bc, we first factor out common factors from the pairs of terms which results in 5a(c + 2b) - 2c(c + 2b). Then, we factor out the common binomial (c + 2b) to get the fully factored form: (5a - 2c)(c + 2b).

The expression given is 5ac + 10ab - 2c^2 - 4bc. To factor this expression, we need to look for common factors in the terms. Let's take each pair of terms and factor it.

For the first two terms (5ac and 10ab), the common factor is 5a. Factoring these gives: 5a(c + 2b).

The last two terms (-2c^2 and -4bc), -2c is the common factor. Factoring these gives: -2c(c + 2b).

So our expression becomes 5a(c + 2b) - 2c(c + 2b). Finally, we factor out the common binomial term (c + 2b) to get the fully factored form: (5a - 2c)(c + 2b).

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7.25 u need to add 2.25+5=7.25

Distance = Speed x Time

Therefore distance = 20 x 3

Grandma's house is 60 km away from where you started.

Multiply the first and last term.  Now find two numbers that when you multiply gives you that product and when you add them gives you the middle term.  Replace the middle term with those two numbers and factor using the grouping method.

10w² - 37w + 15

                          10 x 15 = 150 (1 x150, 2 x 75, 3 x 50, 5 x 30, 6 x 25, 10 x 15)

None of those pairs have a sum of -37 so this polynomial is prime.

************************************************************************************

4z² + 4z - 3

                   4 x -3 = -12 ( -1 x 12, -2 x 6, -3 x 4)  ⇒ -2 + 6 = 4

= 4z² - 2z   + 6z - 3

= 2z(2z - 1)   +3(2z - 1)

= (2z + 3)(2z - 1)

************************************************************************************

18v² - 15v - 18

= 3(6v² - 5v - 6)

                            6 x -6 = -36 (1 x -36, 2 x -18, 3 x -12, 4 x -9, 6 x -6) ⇒ 4 x -9 = -5

= 3(6v² + 4v    -9v - 6)

= 3[2v(3v + 2)  -3(3v + 2)]

= 3(2v - 3)(3v + 2)