Use the model to write the equation that represents the problem.

I have one-half of a square and I want to divide it by one-eighth. How many pieces would I have?
A) 1
2
÷ 1
8
= 4
B) 1
2
÷ 1
8
= 1
4

C) 1
8
÷ 1
4
= 2
D) 1
8
÷ 1
4
= 1
2
(look at the photo)

Answer:

1

Step-by-step explanation:

Binomial theorem is describing the expansion of powers of the term (a + b)^n

Obviously if n = 0, a + b = 1

So the first term is 1.

The product of 4xy and (y^2 + 2x) is calculated by distributing 4xy to the terms in the parenthesis, resulting in the answer 4xy^3 + 8x^2y.

The question is asking to calculate the product of 4xy and (y^2 + 2x). To solve it, you can distribute 4xy to the terms inside the parenthesis. This gives you:

Therefore, the product of 4xy and (y^2 + 2x) is 4xy^3 + 8x^2y.

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Answer: 13/1, 195/15, 130/10

Step-by-step explanation: The easiest way to solve this problem is to work your way though each of the options. 13/1 is the original reduced by 5, 195/5 is both multiplied by 3 and 130/15 is both multiplied by 2. The other two options do not have a way to multiply or divide them to get the original number.

Answer:

Step-by-step explanation:

65/5 is reduceable to 13/1.  So is 195/15.  So is 130/10.  All of these ratios are proportional to 13/1.

Answer: y = −2

Step-by-step explanation:

* Hopefully this helps:) Mark me the brainliest:)

Answer:

D

Step-by-step explanation:

(0.5, 0) and (0, -2)

Answer:

C.

Step-by-step explanation:

You have to find the area by doing b×h=a.

Answer:

A

Step-by-step explanation:

y = 4 is a horizontal line parallel to the x- axis with a slope of zero

A line perpendicular to it is a vertical line parallel to the y- axis

The equation of a vertical line is x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 2, 1) with x- coordinate - 2, hence

x = - 2 ← equation of perpendicular line → A

Answer:

A. [tex]x=-2[/tex]

Step-by-step explanation:

We are asked to find the equation that is perpendicular to line [tex]y=4[/tex] and passes through the point [tex](-2,1)[/tex].

We can see that our given equation is a horizontal line, which crosses y-axis at point [tex](0,4)[/tex].

Every vertical line is perpendicular to a horizontal line. We know that equation of a vertical line is in form [tex]x=a[/tex], which crosses x-axis at point [tex](a,0)[/tex].

Since we need to find the equation that passes through point [tex](-2,1)[/tex], so our required equation will pass x-axis at [tex]-2[/tex].

Therefore, our required equation would be [tex]x=-2[/tex] and option A is the correct choice.

Answer: to find f(-4)

11.

6x-3y=18

-3y=-6x+18

y = (-6x +18)/-3

y = 2x - 6

12.

-3x-7y=14

-7y=3x+14

y=(-3/7)x - 2

Answer:

[tex]\large\boxed{Q10.\ y=2x-6}\\\boxed{Q12.\ y=-\dfrac{3}{7}x-2}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

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

m - slope

b - y-intercept

Q 10.

[tex]6x-3y=18[/tex]       subtract 6x from both sides

[tex]6x-6x-3y=-6x+18[/tex]

[tex]-3y=-6x+18[/tex]          divide both sides by (-3)

[tex]\dfrac{-3y}{-3}=\dfrac{-6}{-3}x+\dfrac{18}{-3}\\\\y=2x-6[/tex]

Q 12.

[tex]-3x-7y=14[/tex]            add 3x to both sides

[tex]-3x+3x-7y=3x+14[/tex]

[tex]-7y=3x+14[/tex]            divide both sides by (-7)

[tex]\dfrac{-7y}{-7}=\dfrac{3}{-7}x+\dfrac{14}{-7}\\\\y=-\dfrac{3}{7}x-2[/tex]

Answer:36.80

Step-by-step explanation:

15% of 32 is 4.8 so add that

To find the total bill for Brady and his friends at Mazzio's Pizza, including a 15% tip on a $32 meal, you calculate the tip as $4.80. Adding the tip to the original cost gives a total bill of $36.80.

Brady and his friends' meal at Mazzio's Pizza cost $32, and they want to leave a 15% tip. To calculate the tip amount, convert the percentage to a decimal form by dividing by 100 (15% becomes 0.15), and then multiply by the cost of the meal.

This results in $32 × 0.15 = $4.80. With the added tip, the total bill becomes $32 (meal cost) + $4.80 (tip) = $36.80. So, the total bill including the tip is $36.80.

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Answer:

$71 dollars

Step-by-step explanation:

What you have to do is do 14.50 times 2 to get 29.

Then 7.50 times 4 to get 30.

You will then add 29+30+12=$71 dollars.

Answer:

(14.5+14.5+12+7.5+7.5+7.5+7.5 )= 71

71/7 = 10$

Answer:

81

Step-by-step explanation:

To evaluate substitute x = - 2 into the expression

4( - 2)² - 20(- 2) + 25

= (4 × 4) + 40 + 25 = 16 + 40 + 25 = 81

To find the unit rate divide the total miles by the total hours:

225 / 4 = 56.25 miles per hour

Answer:

 2.1125 feet

Step-by-step explanation:

the vertex will be the maximum value of this parabola.  

the general form for a quadratic equation is:  ax² + bx + c, for this equation,

a = -0.2, b = 1.3, and c = 0

find the vertex by first using the formula x = -b/(2a)

x = -1.3/(2*-0.2)

  x = -1.3/-0.4

    x = 3.25

Now plug in that x value to find the actual maximum height

y = -0.2(3.25)² + 1.3(3.25)

    y = -0.2(10.5625) + 4.225

          y = -2.1125 + 4.225

                  y = 2.1125 feet

The maximum height the mouse can jump is approximately 2.1125 feet.

To find the maximum height the mouse can jump, you need to determine the vertex of the parabolic path because the vertex represents the highest point on the path. The equation of the path is given as:

y = -0.2x^2 + 1.3x

To find the vertex, you can use the formula:

x_vertex = -b / (2a)

Where "a" is the coefficient of the x^2 term, and "b" is the coefficient of the x term in the equation.

In your equation, a = -0.2 and b = 1.3. Plug these values into the formula:

x_vertex = -1.3 / (2 * (-0.2))

x_vertex = -1.3 / (-0.4)

x_vertex = 3.25

Now that you have the x-coordinate of the vertex, you can find the corresponding y-coordinate by plugging it back into the equation:

y = -0.2x^2 + 1.3x

y_vertex = -0.2(3.25)^2 + 1.3(3.25)

Calculate:

y_vertex = -0.2(10.5625) + 4.225

y_vertex = -2.1125 + 4.225

y_vertex = 2.1125

for such more question on height

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Answer:

0.1 repeating

Step-by-step explanation:

To write 5/45 as a decimal you have to divide numerator by the denominator of the fraction.  

We divide now 5 by 45 what we write down as 5/45 and we get 0.11111111111111  

divide 5 by 45 to find the decimal:

5 / 45 = 0.111 ( the one keeps repeating.

When a number in a decimal is repeating you put a line over it.

The answer would be 0.1 with a line over the one, which is the 3rd answer.

I think it is the first.I would choose that.

Answer:

9/6 and 3/2

Step-by-step explanation:

Let's remember the definition of "constant of proportionality":

The constant of proportionality is the constant value of the ratio k of two proportional quantities x and y; usually written y = kx.

In our case, x is the cups of milk and y is the cups of pancake mix. We need to find out k.

9 = k*6

9/6 = k

If we simplified the fraction, we have 3/2 (is equivalent to 9/6).

The correct answers are 3/2 and 9/6.

Step-by-step explanation:

The prime factorization of 12 is

 12 = 2²×3

To find denominators suitable for your purpose, you need to group the factors

 {1, 2, 2, 3}

into two groups with different products that share at least one of the numbers that is not 1.

For example, your grouping could be (2, [2), 3], where a 2 is shared. That is, your denominators could be 2*2=4 and 2*3=6.

Another possible grouping is (1, [2), 2, 3], giving rise to denominators of 2 and 12.

Yet another is (1, [3), 2, 2], for denominators of 3 and 12.

Using the first grouping, a pair of mixed numbers matching your requirement might be

 1 3/4, 5 1/6

By setting up a system of equations and solving it, we find that Janet has 8 five dollar bills and 12 one dollar bills in her wallet.

The student's question requires solving a system of linear equations to find out how many of each type of bill Janet has.

To solve this problem, let's use two variables: x for the number of five dollar bills and y for the number of one dollar bills.

Janet has 20 bills in total which gives us the first equation x + y = 20.

She also has a total of $52, so the value of her five dollar bills plus the value of her one dollar bills equals 52, providing us our second equation 5x + y = 52.

To solve the system of equations, we can use substitution or elimination.

Let's use substitution by expressing y from the first equation: y = 20 - x.

Now we can substitute y in the second equation with 20 - x, which after simplification gives 5x + 20 - x = 52, and then 4x = 32.

Dividing by 4 gives us x = 8.

This means Janet has 8 five dollar bills.

Now we can substitute x back into y = 20 - x to find out y, which gives us y = 20 - 8 = 12.

So, Janet has 12 one dollar bills.

Final answer:

Janet has 8 five dollar bills and 12 one dollar bills in her wallet. This was determined by setting up a system of equations and solving for the number of $5 and $1 bills based on the given total number of bills and the total cash amount.

Explanation:

To solve the problem concerning the number of $5 and $1 bills Janet has, you can set up a system of equations. Let's indicate the number of $5 bills as f and the number of $1 bills as o. We're given two pieces of information: the total number of bills is 20, and the total amount of money is $52. This can be translated into two equations:

f + o = 20 (total number of bills)

5f + o = 52 (total amount of money in dollars)

To find out how many of each bill Janet has, subtract the first equation from the second one:

5f + o - (f + o) = 52 - 20

5f - f = 52 - 20

4f = 32

f = 32 / 4

f = 8

Janet has 8 five dollar bills. To find the number of one dollar bills, subtract 8 from the total number of bills:

o = 20 - 8

o = 12

Janet has 12 one dollar bills.

Similar is when a figure has the same shape, but different size.

Answer: 3, 1, 2

[tex] \cos(A) + \cos( B ) + \cos(C) \\ = 2 \cos( \frac{A + B}{2} ) \cos( \frac{ A- B}{2} ) + 1 - 2 { \sin }^{2} \frac{C}{2} \\ = 1 + 2\cos( \frac{\pi - C}{2} ) \cos( \frac{A - B}{2} ) - 2 { \sin }^{2} \frac{C}{2} \\ = 1 + 2 \sin \frac{C}{2} \cos( \frac{A - B}{2} ) - 2 { \sin }^{2} \frac{C}{2} \\ = 1 + 2 \sin \frac{C}{2} [ \cos( \frac{A - B}{2} ) - \sin \frac{C}{2}] \\ = 1 + 2 \sin \frac{C}{2} [ \cos( \frac{A - B}{2} ) - \cos( \frac{A + B}{2} )] \\ = 1 + 2 \sin\frac{C}{2} \times 2 \sin( \frac{ \frac{A + B}{2} +\frac{A - B}{2} }{2} ) \sin( \frac{ \frac{A + B}{2} - \frac{A - B}{2} }{2} ) \\ = 1 + 4 \sin \frac{A}{2} \sin \frac{B}{2} \sin \frac{C}{2}[/tex]

First we find the average out of the total. 11÷54=0.20 this is the percentage wanting to attend. now we times this number by the total number of football players. 810 X 0.20 equals 165. your answer is C.

Answer:

B

Step-by-step explanation:

The volume (V) of a rectangular prism is

V = lbh

where l is the length, b the width and h the height

We are looking for 3 values that multiply together to give 10

Considering each of the options

A

100 × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = 25 ≠ 10

B

10 × [tex]\frac{1}{2}[/tex] × 2 = 10

C

5 × 2[tex]\frac{1}{2}[/tex] × 2[tex]\frac{1}{2}[/tex] = 31.25 ≠ 10

D

10 × 10 × [tex]\frac{1}{2}[/tex] = 50 ≠ 10

B is the only possible dimensions for the prism

you would show the long division

Answer:

u can use long division

Step-by-step explanation:

10788 divided by 31 is 348 because

31 cant go into 1 so do it again

31 cant go into 10 so again

31 can go into 107 3 times leaving 14

add the 14 to 8 and so on

Answer:

1,2, and 5

Step-by-step explanation:

This can be determined by looking at the graph

Answer:

The correct answer would be "Animals with shells and fish appeared on earth before land plants." and "Humans were the last to appear at this site."

Step-by-step explanation:

On the graph, it shows that the land plants were a little further ahead in time from the shelled animals and the fish, And the humans were shown last, even after the plants.

I think the answer is (C)?

Answer:

C

Step-by-step explanation:

The area (A) of a circle is calculated using the formula

A = πr² ← r is the radius = 17.5

A = π × 17.5² = π × 306.25 ≈ 962 m² → C

Answer:

  see attached

Step-by-step explanation:

A graphing calculator can easily show you a graph of these equations. (see attached)

__

If you want to graph them by hand, it is convenient to make use of the x- and y-intercepts. For an equation in standard form each of the intercepts is found by dividing the constant by the coefficient of the variable

  ax +by = c . . . . . . equation of a line

  x-intercept: c/a

  y-intercept: c/b

__

For the first equation, the intercepts are ...

  x-intercept: 6/3 = 2, point (2, 0)

  y-intercept: 6/1 = 6, point (0, 6)

For the second equation, the intercepts are ...

  x-intercept: 12/-3 = -4, point (-4, 0)

  y-intercept: 12/-4 = -3, point (0, -3)

In each case, the line can be drawn through the plotted intercept points.

Answer:

4/6, 6/9, 8/12, 10/15

A fraction that is equivalent to [tex]\frac{2}{3}[/tex] is [tex]\frac{20}{30}[/tex]

Although these fractions have different numerators and denominators, they still have the same value because they equal each other.

20; 3g*h. Hd. So, adding in the. Variables. Then 20

Answer:B) 10$

Usatestprep

Answer:

? = 10

Step-by-step explanation:

26 - 4 = 12 + ?

22 = 12 + ?

10 = ?

Answer:

10

Step-by-step explanation:

Let the missing number be x.

Then,

26 - 4 = 12 + x

12 + x = 22

x + 12 - 12 = 22 - 12 ( subtract 12 from both sides to single x in LHS)

x        = 10

∴ the missing number is 10.

Hope this helped you :)

Answer:

y=2x+(-7)

Step-by-step explanation:

y=2x+c

solve for c

-1=2(3)+c

-1=6+c

-6-1=c

c=-7

y=2x+(-7)

Answer:

[tex]\large\boxed{y+1=2(x-3)}[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

We have the slope m = 2 and the point (3, -1). Substitute:

[tex]y-(-1)=2(x-3)\\\\y+1=2(x-3)[/tex]