-Name The Slope
-Name The Starting Value
-How many blocks would be in figure 100

Answer:

x = 12 and y = (3/2)

Step-by-step explanation:

"Y varies directly as x," can be written as:

y = mx

The connecting law is m, which relates how much y will change for a change in x.  m is given by:

m = y/x

To find m, the slope, use the two given values for x and y:

m = y/x

m = 3/4

This yields:

y = (3/4)x

Now we can find:

X when y=9:    

y = (3/4)x

9 = (3/4)x

x = (4/3)*9

x = 12

Y when x=2:  

y = (3/4)x

y = (3/4)*2

y = (3/2)

The number to be multiplied by x to get the answer will be -12/5.

An algebraic expression may be defined as an equation which consists of variables and the arithmetic operations such as division, multiplication, addition and subtraction. It is given that Leah wants to divide x by a number which is -5/12. We know that an algebraic expression needs a variable so x divided by -5/12 can be written as

x ÷ -5/12

In fractional division, we need to find the reciprocal of the divisor fraction and then multiply it with the dividend to find the solution. The expression can be written as

x × -12/5 or we need to multiply -12/5 by x to find the answer.

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The polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the leading coefficient, and the degree of the polynomial  is Leading term=  x

Leading coefficient= -6

Degree of the polynomial = 1

Taking = g(x) = - 6x - 9

It is a linear function which has an intercept with the y - axis at x= 0, y= -9.

Where m= -6.

Leading term=  x

Leading coefficient= -6

Degree of the polynomial = 1

What are cubic and quadratic constant polynomials?

A variable is a constant polynomial if its highest exponent is 0. It is a linear polynomial if the highest exponent is 1. It is a quadratic polynomial if the largest exponent of a variable is 2, and a cubic polynomial if the maximum exponent is 3.

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In a set of ordered pairs,

To be considered a function, each x-value must be paired with a corresponding UNIQUE y-value.

We want to select the "relation" from the choices, not the function.

A. Represents a function. Each x value paired with unique y value.

B. Doesn't represent a function. "4" is paired up with mutliple values of y.

C. Represents a function. Each x value paired with unique y value.

D. Represents a function. Each x value paired with unique y value.

Answer:

$45.85 for 6 hours

Step-by-step explanation:

Answer:

y = -4x + 17

Step-by-step explanation:

formula

y - y1 = m ( x - x1)

y - 1 = -4 ( x - (-4))

y - 1 = -4 ( x - (-4))

y - 1 = -4 ( x + 4)

y - 1 = -4x - 16

y = -4x + 17

Answer:

0.45 miles per minute

Step-by-step explanation:

Look at the units:  miles per hour is miles/hour

miles       hour         miles

-----   *     -------  =  ---------

hour       minute      minute

(27 miles/hour)(1/60 hours/minute) = 27/60

= 9/20 = 0.45 miles per minute

Answer:

maria:4$

june:40$

Step-by-step explanation:

400/10 = 40 = june

40/10 = 4 = maria

hope this helped

have a good day ^^

Answer:

June has $40 and Maria has $4.

Step-by-step explanation:

One tenth of 400 is 40 and 40 divided by 10 equals 4.

Applying the definition of perpendicular bisector, the value of x is: 10.

A perpendicular bisector can be defined as any line segment that bisects another line segment. That is, it divides another line segment into two equal parts having the same length.

Since AD is the perpendicular bisector of BD, then, BD = DC.

BD = 5x - 10

DC = 3x + 10

Substitute

5x - 10 = 3x + 10

Combine like terms

5x - 10 + 10 = 3x + 10 + 10 [addition property of equality]

5x = 3x + 20

5x - 3x = 3x + 20 - 3x [subtraction property of equality]

2x = 20

Divide both sides by 2

2x/2 = 20/2 [division property of equality]

x = 10

The value of x is 10.

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The following pair represent  6/7 , 1 5/7 are  called like fractions, because the fractions with the same denominators.

Based on the given fraction is,

6/7 , 1 5/7

Then,

In a fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.

Example: 4/2, 7/2, 9/2

Here, the denominators of all the fractions are 2. Hence, they are called like fractions.

Unlike Fractions – The fractions with different denominators are called, unlike fractions.

Example: 5/2, 4/6, 9/4

Here, the denominator values are different in all the fractions. Hence, they are called, unlike fractions.

Example: ⅔ and 4/6 are equivalent fractions, since 4/6 = (2×2)/(2×3) = 2/3

In group (i) the denominator of each fraction is 7, i.e., the denominators of the fractions are equal.

The fractions with the same denominators are called like fractions.

In group (ii) the denominator of each fraction is different, i.e., the denominators of all the fractions are different.

The fractions with different denominators are called unlike fractions.

Therefore,

The following pair represent 6/7 , 1 5/7 are  called like fractions, because

the fractions with the same denominators.

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Answer:

perpendicular to what

Step-by-step explanation:

Mark had to pay 70 percent of the original price.

What is percent?

A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Even though the acronyms "pct.", "pct.", and even "pc" are also employed the percent symbol, "%," is frequently used to indicate it. A percent lacks dimensions and has no associated unit of measurement. The ratio's numerical value is multiplied by 100 to obtain the percent value. The Latin word per centum, which means "hundred" or "by the hundred," is where the word "percent" originates. The Italian word per cento, which means "for a hundred," gradually shrank to become the symbol for "percent."

Mark paid = $385

Original price = $550

Percent what Mark pay = (385/550) x 100 percent

                                       = 70 percent

Hence, Mark had to pay 70 percent of the original price.

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In linear equation, 65% of the people surveyed were satisfied with the​ car.

What is linear equation in math?

total people = 3300

car repeater = 1650

In general to find %, divide the subset by the total amount and multiply by 100:

2145 / 3300 * 100 = 65%

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The number of possible outcomes exists 21952. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Probability exists a branch of mathematics that deals with numerical representations of the likelihood of an event happening or of a proposition being true. The probability of an event exists a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Given:

A 28-sided die is rolled 3 times.

28 × 28 × 28 = 21952.

Therefore, the number of possible outcomes exists 21952.

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The correct first step for solving the equation 3(x+8) = 42 is (3×x)+(3×8) = 42.

For the given equation;

3(x+8) = 42

The first step will be to open the parenthesis, and multiply each term with 3.

(3×x)+(3×8) = 42.

Thus, the first step to solve the linear equation is  (3×x)+(3×8) = 42.

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The equation of the perpendicular bisector line is y = x + 3

To solve this problem, we simply need to use the formula of equation of a straight line which is given as

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

Let's find the slope (m) and the intercept (c) of the equation.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let's substitute the values into the formula and solve.

[tex]m =\frac{-1 - 3}{-4 -(-8)} \\m = \frac{-4}{-4} = 1[/tex]

The slope of the line is equal to 1.

Taking any of the point given, we can find the intercept.

[tex]y = mx + c\\-1 = 1(-4) + c\\- 1 = -4 + c\\c = 3[/tex]

From the above, we can use the values to write the equation of the line.

[tex]y = mx + c\\y = x + 3[/tex]

The equation of the line is y = x + 3

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The  Volume  of  the cube is  [tex]$$\left(64 x^6+144 x^4+108 x^2+27\right)\\[/tex].

[tex]we \ know \that \ The \ volume \ of \ a \ cube \ is \ equal \ to \ $$V=s^3$$[/tex]

[tex]$$ where$s$ is the length side of the cubeIn this problem we have$$s=\left(4 x^2+3\right)$$Substitute$$V=\left(4 x^2+3\right)^3$$Remember that$$\begin{aligned}&\left(4 x^2+3\right)^3=\left(4 x^2+3\right)^2\left(4 x^2+3\right) \\&\left(4 x^2+3\right)^2\left(4 x^2+3\right)=\left[16 x^4+24 x^2+9\right]\left(4 x^2+3\right) \\&=64 x^6+48 x^4+96 x^4+72 x^2+36 x^2+27\end{aligned}$$Combine like terms$$=64 x^6+144 x^4+108 x^2+27$$[/tex]

In geometry, a cube is a three-dimensional solid object bounded by six square faces, faces or sides,  three of which meet at each vertex.

The cube is the only regular hexahedron and  one of the five Platonic solids. It has 6 faces, 12 edges and 8 vertices.

A cube is also a square parallelepiped, an equilateral cube and a right rhombohedron 3-ribbed. It is a regular square prism in three directions and a triangular trapezoid in four directions.

A cube is a double point with an octahedron. It has cubic or octahedral symmetry.

A cube is the only convex polyhedron that has all its faces square.

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The tent cost is equal to 315.

They invested £1500 at the bank with an interest rate of 7%. At the end of 3 years,

So, the principle amount is 1500, rate of interest given by the bank is 7%

and they invested the amount for 3years.

The interest amount can be calculated by using the simple interest formula:

SI = [tex]\frac{PRT }{100}[/tex]

where P denotes the principle amount invested R is the rate of interest and t is the time for which the amount is being invested.

SI = (1500 x 7% x 3)/100

SI = 15 x 21 = 315

The simple interest is calculated to be 315.

They had exactly the right amount saved to buy the tent.

So, the cost of the tent is same as the interest amount. = 315

Therefore, the tent cost is equal to 315.

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This  is formula of compound interest , where n = time .

What is the simple definition of compound interest?

the n stand for in this formula is time

the full formula  is

                  A = P(1 + r/100)ⁿ

where A = Annual amount

        P = initial amount

        R= rate

         n = time

this is formula of compound interest  

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We have

A=7632m^2

the formula of the area of a rectangle

where l is the length and w is the width

in our case we have

l=99m

then we substitute the values given in the formula

we need to isolate the w in order to find the value of the width

the width is 77.09m

The probability that a bowling ball chosen at random would be discarded because it is too heavy to use is 0.3204.

The population's mean weight (μ) is equal to 14.6 pounds.

The standard deviation (σ) is equal to 3 pounds.

Assuming a normal distribution, the corresponding z-score for each given weight "X" is calculated as follows:

z = (x - µ)/σ

For X = 16 pounds:

z = (16 - 14.6)/3

z = 0.4667

A z-score of 0.4667 is equivalent to the 67.96-th percentile of the distribution. The probability of a ball being discarded is:

P(z > 0.4667) = 1 - 0.6796 = 0.3204

The probability that a randomly selected bowling ball is discarded due to being too heavy to use is 0.3204 or 32.04%.

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Answer:

C

Step-by-step explanation:

The y-axis is the vertical axis, which is represented by y, and the x-axis the horizontal axis, represented by x. You can see in the graph that (3, 12) is one point. 3 x 4 = 12, where x is 3 and y is 12. This proves the proportional relationship with x and y is y = 4x. To double check, you can plug in (3, 12) to get 12 = 4(3). 4 x 3 = 12, so Option C shows the proportional relationship.

We typically write linear equations in slope-intercept form:

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

Because this graph has a proportional relationship, it means that they pass through the point (0,0), and that our y-intercept is 0. Our equation looks like this:

[tex]y=mx[/tex]

First, we typically find the slope of the equation using the slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points that fall on the line

⇒ Plug in any two points that the line passes through, such as (0,0) and (3,12):

[tex]m=\dfrac{12-0}{3-0}\\\\m=\dfrac{12}{3}\\\\m=4[/tex]

Therefore, the slope of the line is 4. Plug this into [tex]y=mx[/tex]:

[tex]y=4x[/tex]

[tex]y=4x[/tex]

Answer:

1.  [tex]\frac{3}{4}[/tex] or 0.75

2.  x = 2

3.  True

4.  x = [tex]\frac{1}{3}[/tex]

5.  c

6.  b

7.  See picture

8.  a

9.  17

10. 8

Step-by-step explanation:

Too many to explain all but ask for anything specific

The length of line segment (10.8, -5.3) and (-15.6, -5.3) is 26.4

since both points lie on the same horizontal line (same y-coordinate), we can record the detour using the Pythagorean approximation. to get the distance we just need to look at the difference in x-coordinates:

10.8 - (-15.6 )= 10.8 +15.6 = 26.4

A segment is bounded by two distinct points on a line. Or we can say that a line segment is a part of a line that connects two points. A straight line has no endpoints and extends indefinitely in both directions, but a  segment has two fixed or specified endpoints. The difference between a  segment and a ray is that a ray has only one end point and one end extends to infinity. Section with two endpoints A and B and marked with a bar symbol (-)

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Answer:

r=-1

Step-by-step explanation:

- 3 ( 1 + 6 r ) = 14 - r

-3-18r=14-r

-3-18r+r=14

-3-17r=14

-17r=14+3

-17r=17

r=-1

Answer:

n=7/8

Step-by-step explanation:

i got big brain

a. Noah will have money in the account after 9 yrs is $4900.

b. Noah has earned interest from this account after 9 years is 22.5%.

What is compound interest?

Compound interest is when interest on a loan, investment, or savings account grows exponentially over time rather than linearly.

Formula to calculate simple interest

I = Prt

Where, I = Simple interest

t = time

r = earned interest

P = Compound interest

Here, we have

P = $4000, r = 2.5%, t = 9 years

By applying the compound interest formula, we get

I = 4000×0.025×9

= 900

The total amount after 9 years is 4000+900= 4900

Hence,

a. Noah will have money in the account after 9 yrs is $4900.

b. Noah has earned interest from this account after 9 years is 22.5%.

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It is essential that Dr. Gordan searches for an area that is equivalent to 48,000 ft2, and he will look for it.

This is further explained below.

Generally,  As stated in the preceding inquiry, The scale that Dr. Gordan uses

2 in = 100 ft

⇒1 in = 50 ft

A portion measuring 6 inches by 3.2 inches is highlighted by Dr. Gordon.

6 inches of length

= ( 6 × 50 )ft

= 300ft

3.2 inches in width

= ( 3.2 × 50 )

= 160ft

The total area of the section may be calculated as follows:

area = (length x width)

= 300 × 160

= 48,000 ft²

As a result, the needed search area for the portion that Dr. Gordan will conduct is equivalent to 48,000 feet squared.

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The equation of the parabola is y = -5x^2 + 3

The points and the vertex represent the given parameters

From the question, we can see that the equation is a parabola

A parabola function is represented as

y = a(x - h)^2 + k

Where

Vertex = (h, k)

Point = (x, y)

From the question, we have

Vertex = (h, k) = (0, 3)

Point = (x, y) = (1, -2)

So, we have

y = a(x - 0)^2 + 3

Evaluate

y = ax^2 + 3

Using the point, we have

-2 = a(1)^2 + 3

This gives

a = -5

So, we have

y = ax^2 + 3

y = -5x^2 + 3

Hence, the equation is y = -5x^2 + 3

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