7. Write the equation -3x +2y = 7 in slope-intercept form.

Answer:

First,

the age of the son: s

the age of the father is 2 less than 7 times the age of his son: 7s - 2

In 3 years, the sum of their ages will be 52, In 3 years, the age of the sun will

increase 3, so s+3. Also, the age of his

father also increase 3, (7s-2)+3

(s+3)+ [(7s-2)+3] = 52 is the equation.

The correct answer is :

( 7s - 2 ) +3+ ( s + 3 ) = 52 , or 8s + 4 = 52 .

Since s is the son's age , " two less than seven times " the son's age would be represented by 7s - 2 .

To represent this in 3 years , we would add 3 : ( 7s - 2 ) +3 .

In 3 years , the son's age , s , would be represented by s + 3 . We are told that the sum of these ages will be 52 ; this gives us ( 7s - 2 ) +3+ ( s + 3 ) = 52 .

To simplify this , combine like terms .

7s + s = 8s ; -2 + 3 + 3 = 4 .

This gives us 8s + 4 = 52 .

So, there are 3 fourths in 3 fourths

Volume is a three-dimensional scalar quantity. The volume of a cone with a base radius of 4 ft. and height of 8 ft. is 134 ft³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a cone with a base radius of 4 ft. and height of 8 ft. can be written as,

Volume = (π/3)×(Radius)²×Height

             = (π/3)×(4)²×8

             = 134.0412 ft³ ≈ 134 ft³

Hence, the volume of a cone with a base radius of 4 ft. and height of 8 ft. is 134 ft³.

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Answer:

It depends on what way the line is facing, if it starts out vertical(meaning up or down), the answer is yes.

The conclusion is there is likely an association between the categorical variables because the sum of the relative frequencies is 1. 0.

Categorical variables are variables that can only take on a fixed number of values. An example of categorical variables is gender. One can either be a male or a female.

The sum of the categorical variables is 1. This indicates that the two variables are negatively correlated. It means that someone would be either pick one of the variables.

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Answer:

c

Step-by-step explanation:

The length of the 64 meters section in feet is 210 feet

The given parameters are:

Multiply both sides of 1 meter = 3.28 feet by 64

64 * 1 meter = 3.28 feet * 64

Evaluate

64 meters = 209.92 feet

Approximate

64 meters = 210 feet

Substitute 64 meters = 210 feet in Length = 64 meters

Length = 210 feet

Hence, the length of the section in feet is 210 feet

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Answer:

13 stamps : 17 stickers

Step-by-step explanation:

52 stamps : 68 stickers can be simplified down to 13 stamps : 17 stickers because their greatest common factor is 4

Answer:

75 on mathematics and 55 on English!

Step-by-step explanation:

Answer:

English test score: 55

Mathematics test score: 75

Step-by-step explanation:

Let [tex]e[/tex] be Mary's score on the English test.

We can say that [tex]e + 20[/tex] is her score on the Mathematics test, as the score for the Mathematics test is just the English test score but 20 higher.

Since both scores add up to 130, we can set up an equation to solve for the English test score. Since we said [tex]e + 20[/tex] is Mary's score on the Mathematics test, [tex]e + e + 20[/tex] is the total of her 2 test scores.

[tex]e + e + 20 = 130\\2e + 20 = 130\\2e = 110\\\boxed{e = 55}[/tex]

This means that Mary got a 55 on her English test score.

To solve for the Mathematics test score we can substitute 55 for [tex]e[/tex] in [tex]e + 20[/tex].

[tex]e + 20 = 55 + 20 \rightarrow \boxed{75}[/tex]

This means Mary got a 75 on her Mathematics test.

Those are the answers

- Kan Academy Advance

Answer:

Answer:

Graph C shows the solution for the inequality

Step-by-step explanation:

y - 4 > 2(x + 2)

y > 2x + 4 + 4

y > 2x + 8

Let y = 2x + 8, Then

X-intercept (0, 8)

Y-intercept (-4, 0)

Since the inequality sign is > we use broken line.

Put,  (0, 0)

y > 2x + 8

0 > 0+ 8

0 > 8 Which is false

so, the answer will be above the broken line

Hence , Graph C shows inequality

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Answer:

y = (2/3)x - 3

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this equation, "m" represents the slope and "b" represents the y-intercept. You were given the slope and y-intercept, so finding the final equation is just a matter of substituting the variables.

slope = m = (2/3)

y-intercept = b = -3

y = mx + b

y = (2/3)x + (-3)

y = (2/3)x - 3

Answer:

false

Step-by-step explanation:

any line segment or distance has only one midpoint.

there is only one middle to everything.

how would that look like, if something had 2 middles ?

then they would not be a middle, and the middle between these 2 middles would then be the real middle ...

Answer:false

Step-by-step explanation: If a line segments has endpoints A and B, then the midpoint of that line segment is a point, M Such that M. Becuase A line segment can only IM SAYING ONLY 1 MIDPOINT!

The profit earned by the gift shop owner on fifty vases will be $ 91.07.

The amount of money earned by any seller on the cost price is called the profit. It is given that A gift shop owner bought fifty vases for $210. she sells seven vases for what she paid for ten originally.

The profit will be calculated as we will create the expressions for all the selling and purchasing given in the question.

The total cost price of vases:-

50 vases = $210

1 Vase = 210 / 50 = 4.25

So 10 vases will be purchased at the price of:-

10 Vase = 4.25 x 10 = 42.5

Now from the question of the amount he paid for 10 vases, he gained it by selling 7 vases.

7 Vase = 42.5

1 Vase = 42.5 / 7 = 6.07

So he sold one vase for $6.07 and purchased it at $4.25.

The profit will be = 6.07 - 4.25 = 1.821

So profit for selling 50 vases will be:-

Profit = 50 x 1.821 = $91.07

Therefore profit earned by the gift shop owner on fifty vases will be $ 91.07.

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Answer:

75 mL.

Step-by-step explanation:

3/(3+2) = 3/5 of the solution is concentrate.

So the answer is 125 * 3/5

= 3*25

= 75 mL.

The number of 15-year old students that took part in the survey is 300 students and 20 "15-year old" students spent between 35 and 45 minutes on social media.

A frequency polygon can be defined as a type of line graph that is used to plot a class frequency against the class midpoint.

For the 15-year old students, the total number of students would be calculated by adding all the data points at each frequency:

Total students = 30 + 30 + 50 + 60 + 40 + 50 + 40

Total students = 300 students.

In order to determine the number of 15-year old students than 11-year old that spent between 35 and 45 minutes on social media, we would calculate the average and then read it from the frequency polygon.

Average = (35 + 45)/2

Average = 80/2

Average = 40.

For the 11-year old, we have:

Frequency (40) = 40

For the 15-year old, we have:

Frequency (40) = 60

Now, we can calculate the difference as follows:

Difference = 60 - 20

Difference = 20 students.

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Answer:

See below

Step-by-step explanation:

To get the fraction from mixed number you just need to take the number standing alone, multiply with the denominator and add with the numerator and keep it on top with the denominator in place to turn it into a fraction.

For example, [2]3/4 = 2*4 + 3 = 11 => the fraction is 11/4.

The inequality expression f(4) > g(4) is true when x = 4

The functions are given as:

[tex]f(x) = 2^x - 7[/tex]

g(x) = 1.5x - 3

See attachment for the graph of both functions.

From the graph, we have:

f(4) = 9

g(4) = 3

This means that:

f(4) > g(4) when x = 4

Hence, the inequality f(4) > g(4) is true when x = 4

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Answer:

AC = 13.3

Make proportional relationship:

[tex]\sf \dfrac{AB}{AC} = \dfrac{AM}{AN}[/tex]

Insert values

[tex]\rightarrow \sf \dfrac{10}{AC} = \dfrac{6}{8}[/tex]

Cross multiply

[tex]\rightarrow \sf AC = \dfrac{10(8)}{6}[/tex]

Simplify

[tex]\rightarrow \sf AC =13.3[/tex]

A function assigns the values. The correct option that describes a constant function is that It is a horizontal line.

A function assigns the value of each element of one set to the other specific element of another set.

The correct option that describes a constant function is that It is a horizontal line.

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Answer: the answer is A the others are linear or higher

It moves in a horizontal line.  Its 'y value' does not change.

Step-by-step explanation:

Answer:

Length of the side of the square is 12 cm.

Step-by-step explanation:

Given information:

[tex]\text{side}_1 = 8a \text{ cm (side of a rectangle)}\\\text{side}_2 = 7a \text{ cm (side of a rectangle)}\\P_\text{rec} = 42 + P_\text{sq} \text{ cm } (P_\text{rec} \text{ is perimeter of the rectangle and } \\P_\text{sq} \text{ is the perimeter of the square)}\\\text{side}_\text{sq} = 4a \text{ cm (side of a square)}[/tex]

Our mission is to find the length of the side of the square. We know that the side of the square is 4a cm, so to be able to answer we have to find the value of a first.

Step 1: Finding the value of a

Key to finding the value of a is the perimeter of the rectangle. Notice that we can calculate the perimeter of the rectangle in two different ways.

One way was given in the question:
[tex]P_\text{rec} = 42 + P_\text{sq}[/tex]

We want equations in terms of a, so we can calculate a. Perimeter of the square can be calculated as:

[tex]\text{perimeter}_\text{square} = 4 \times \text{side}[/tex]

Substituting the values in equation:

[tex]P_\text{sq} = 4 \times 4a\\P_\text{sq} = 16a[/tex]

Therefore the first equation for perimeter of the rectangle becomes:

[tex]P_\text{rec} = 42 + P_\text{sq}\\\fbox{\begin{test}P_\text{rec} = 42 + 16a\end{test}}[/tex]

For the second way we use formula for the perimeter of rectangle which is:
[tex]\text{perimeter}_\text{rectangle} = 2 \times \text{width} + 2 \times \text{length}[/tex]

Substituting the values in equation:
[tex]P_\text{rec} = 2 \times 7a + 2 \times 8a\\P_\text{rec} = 14a + 16a\\\fbox{\begin{test}P_\text{rec} = 30a\end{test}}[/tex]

Now let's equate both perimeters of the rectangle.

[tex]P_\text{rec} = P_\text{rec}\\42+16a = 30a\\42 =14a\\3 = a[/tex]

Step 2: Find the length of the side of the square

It's given that side of the square is 4a cm. All we have to do is substituting a with its value, which we got in the previous step.

[tex]\text{side}_\text{sq} = 4a\\\text{side}_\text{sq} = 4(3)\\\text{side}_\text{sq} = 12 \text{ cm}[/tex]

Answer:

Triangle D.

Step-by-step explanation:

A scalene triangle has different sides.

The equations representing inverse variation are:  pv = 13 and z = (2 / x) , option B and C are the answer.

When on increasing one quantity the other quantity decreases , such variation between the two entities is called Inverse Variation

For this case, what you should know is that the equations that represent an inverse variation are those that could not form a straight line, for example.

The equations are given in the question and it has to be checked if they represent inverse variation

y = 2x

y and x are in a direct variation

pv = 13

p = 13 / v

P and v are represent an inverse variation.

z = (2 / x)

z and x are represent an inverse variation.

4 = v/x

v =4x

v and x are in direct variation

h=9g/5

h and g are in direct variation

therefore , the equations representing inverse variation are:

pv = 13 and z = (2 / x)

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[tex]~~~~125x^9+64\\\\=(5x^3)^3+4^3\\\\=(5x^3 +4)[(5x^3)^2 - (5x^3)(4) + 4^2]\\\\=(5x^3 +4)(25x^6-20x^3+16)[/tex]

Answer:

$50 interest

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for I:

⇒ I = 500 · 0.02 · 5

⇒ I = 50

Therefore, Frank will earn $50 interest in 5 years.

Answer:176

Step-by-step explanation:

8 x 2 x 11

The measure of x, p, q and r are 65, 20 , 40 and 40 degrees respectively.

The sum of interior angle of a triangle is 180 degrees. Applying the theorem to each question.

3) 40 + x + 75 = 180

115 + x = 180

x = 180 - 115

x = 65 degrees

4) p + 40 + 120 = 180

p + 160 = 180

p = 20degrees

5). The triangle is isosceles showing that the base angles are equal.

100 + q + r = 180

100 + 2q = 180

2q = 80

q =r = 40 degrees

Hence the measure of x, p, q and r are 65, 20 , 40 and 40 degrees respectively.

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Answer:

7

Step-by-step explanation:

Answer: 1/216

Step-by-step explanation: please mark me brainly

Answer:

f(3)=0.005

Step-by-step explanation:

Plug in 3 for x

f(3)=(1/6)^3

f(3)=0.005

Hope this helps!

If not, I am sorry.

Answer:

The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation