Alex has some marbles.
Billie has three times as many marbles are Alex.
Chris has 9 fewer marbles than Billie.
In total they have 68 marbles.
How many marbles does Alex have?

The simplified value of x is 44 / 15 or 7 / 5 and value of y is -2

Simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Given that, simply the following

a) 2(y-1)/3-3(y-2)/4=1

b) 3x=44/5=2x+6

1) 2(y-1) / 3 - 3(y-2) / 4 = 1

Multiplying by 12 to both sides,

8(y-1) - 9(y-2) = 12

8y-8 - 9y+18 = 12

-y + 10 = 12

y = -2

2) 3x = 44 / 5 = 2x+6

3x = 44 / 5

Multiplying by 5 to both sides,

15x = 44

x = 44 / 15

or,

44 / 5 = 2x + 6

Multiplying by 5 to both sides,

44 = 10x + 30

14 = 10x

x = 7 / 5

Hence, the simplified value of x is 44 / 15 or 7 / 5 and value of y is -2

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The number of subscriber is increasing by factor 1,12 every month. The number of subscribers m months since the beginning of the year can expressed by the growth model equation S(m) = 150 . e^(0.12m)

The problem can be solved using exponential growth model.

1) The relation between growth rate and doubling time is given by:

doubling time = 70 / growth rate

In this case, doubling time = 6 months.

Hence,

growth rate = 70/6 = 11.67% = 0.1167 ≈ 0.12

Growth factor is defined as:

Growth factor = 1 + growth rate

                       = 1 + 0.12 = 1,12

2) The growth model of the number of subscribers is given by:

S(m) = So . e^(r.m)

Where:

S(m) = number of subscriber after m months

So= initial number of subscriber

r = growth rate

t = time period

Substitute So = 150 and r = 0.12

S(m) = 150 . e^(0.12m)

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Answer:

Answer:

1256.64 square feet

Step-by-step explanation:

In this situation, 20 feet is the radius of the circle that is sprayed.

Use the area formula, A = [tex]\pi[/tex]r²

Plug in 20 as the radius and solve:

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex](20)²

A = 400[tex]\pi[/tex]

This is approximately equivalent to 1256.64

So, the approximate area watered by the sprinkler is 1256.64 square feet

Answer:

342

Step-by-step explanation:

that dude strong

The most he can bench press is 342.

Given: A weightlifter can bench press up to 180% of his body weight. He weighs 190 pounds.

Based on the given conditions, formulate:

Convert 180 % into a decimal and multiply by 190

Convert 180 % into a decimal form: 1.8

Multiply 1.8 by 190

Simplify 1.8 [tex]\times[/tex] 190

= 342

Calculate the product or quotient: 342

The most he can bench press is 342.

The correct answer is 342.

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Answer:

3,000,000

Step-by-step explanation:

Answer:

[tex]y=6x-4[/tex]

Step-by-step explanation:

First we have to know how to write a equation in Slope-Intercept Form!

Slope-Intercept Form: [tex]y=mx+b[/tex]

where y = y axis, m = slope, x = x intercept and b = y-intercept

Now start by solving the slope

To find the Slope, you must find two points

Two points will be: [tex](0,-4)[/tex] and [tex](1,2)[/tex]

Then use the Slope-Formula to identify the slope

[tex]m=slope[/tex]

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

[tex]m=\frac{2--4}{1-0}[/tex]

[tex]m=\frac{6}{1}[/tex]

[tex]m=6[/tex]

The Slope is 6

The y-intercept is already given by the point (0, -4)

Note: (this goes to this situation because the point has a 0 of x intercept)

doomdabomb: "I decided to answer this for fun just to earn some points but if you want you can take a look at this beautiful answer that i just made"

Answer:

ok so 4x-4y=8

4x-4×8=

4x-32

4x-10-32=

-40 -32= -72

Step-by-step explanation:

I think this is right sorry if I'm wrong

Answer:

We need to keep y on the left side only.

so we distribute the 4x to the right side.

that means:

4x - 4y = 8

-4x         -4x

-4y = 8 - 4x

Now we divide by -4 on both sides

y = 8 - 4x/-4

-2 + x is y

Now for number 2:

Let's use -10 for x.

-2 -10 = -12

The length of the sides of ΔABC are; AB = 2√5, BC = √13, and AC = √17

The length of the sides of ΔDEF are; DE = 2√5, EF = √13, and DF = √17

By the SSS Congruence Theorem, ΔABC ≅ ΔDEF

We are given the coordinates of Triangles ABC and DEF as;

A(5, 3), B(7, 7), C(9, 4)

D(-8, 6), E(-12, 8), F(-9, 10)

The formula for distance between two coordinates is;

Distance = √[(y₂ - y₁)² + (x₂ - x₁)²]

Thus;

AB = √[(7 - 3)² + (7 - 5)²]

AB = √20

AB = 2√5

Similarly;

BC = √[(4 - 7)² + (9 - 7)²]

BC = √13

AC = √[(4 - 3)² + (9 - 5)²]

AC = √17

Likewise;

DE = √[(8 - 6)² + (-12 + 8)²]

DE = √20

DE = 2√5

Similarly;

EF = √[(10 - 8)² + (-9 + 12)²]

EF = √13

DF = √[(10 - 6)² + (-9 + 8)²]

DF = √17

Since the corresponding sides of the two triangles are equal and as such they can be said to congruent by SSS Congruency.

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Step-by-step explanation:

please see the attachment

Answer:

32

Step-by-step explanation:

Answer:

Well yes. So we know that our x intercepts are -2 and postive 3. If we look at the graph, we can see that when y=0, the quadratic is at both -2 and 3 for x.

Step-by-step explanation:

This might not be the full reason why this is the answer, but this is for sure part of why the factored form is correct

Sorry I cannot help more than that! :(

====================================================

Work Shown:

4.3*10^8 = 4.3 * 10^(3+5)

4.3*10^8 = 4.3 * 10^3*10^5

4.3*10^8 = 4.3*1000*10^5

4.3*10^8 = 4300*10^5

Priscilla has 4300*10^5 strands of hair while Diego has 8.7 * 10^5 strands. Subtract the values out front: 4300-8.7 = 4291.3

Then tack on the "*10^5" portion to get 4291.3*10^5

The difference in the number of strands is 4291.3*10^5

Convert this to scientific notation to get the final answer.

4291.3*10^5 = (4291.3)*10^5

4291.3*10^5 = (4.2913 * 1000)*10^5

4291.3*10^5 = 4.2913 * 1000*10^5

4291.3*10^5 = 4.2913 * 10^3*10^5

4291.3*10^5 = 4.2913 * 10^(3+5)

4291.3*10^5 = 4.2913 * 10^8

Note: The number 4.2913 * 10^8 expands out to 429,130,000 which is a little over 429 million.

Answer:

See below.

Step-by-step explanation:

A. f(x) = x² - 8x + 12

E. f(x) = (x - 4)² - 4

F. f(x) = (x - 2)(x - 6)

Answer:

-2

Step-by-step explanation:

6x + 10 = 1x

Subtract 6x from both sides.

10 = -5x

------------ Divide by -5

     -5

-2 = x

6x + 10 = 1x

Subtract 10 from both sides

6x + 10 (-10)= 1x (-10)

6x =1x - 10

Subtract 1x from both sides

6x (-x) = 1x (-x) - 10

5x = -10

Divide both sides by 5

5x (/5) = -10 (/5)

x = -2

Hope that helps :)

The missing values in the ratio table are given as follows:

Hence the equivalent ratios are given as follows:

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

Hence the constant of proportionality is obtained as follows:

k = 8/(1/3) = 24.

Hence the equation is given as follows:

y = 24x.

The time for 4 meters is given as follows:

4 = 24x

x = 4/24

x = 1/6.

The distance for 1/4 minutes is given as follows:

y = 24 x 1/4

y = 6 meters.

The distance for 5/12 minutes is given as follows:

y = 24 x 5/12

y = 120/12

y = 10 meters.

The equivalent ratios for each case are given as follows:

y = y : x.

The problem is given by the image presented at the end of the answer.

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Answer:

36

Step-by-step explanation:

Rewrite this as

(2)(3)(√3)(√12), or

   6 * √36, or

   6  *  6  = 36

Answer:

No similarity and no scale factor (I could be wrong)

Step-by-step explanation:

Don't worry, no links :)

You would see if they are similar if they have similar sides. so if there is an equal ratio, to both, they are similar. Sometimes they may not look similar until you rotate them. So for the following, you can see that if E were on the bottom, it would look like the triangle with N and M on the bottom you can ensure this to look at the ratios of each side. To find the scale factor, it depends on which way you are going. are you going from GEF to MNL or MNL to GEF? To me, it doesn't look like there is a scale factor, but I could be wrong.

Here's link[tex]^{}[/tex] to the answer:

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

54

Step-by-step explanation:

solving for "xx"

[tex]\sqrt{xx - 2}=7\implies \sqrt{xx - 2}=7\implies (\sqrt{xx - 2})^2=(7)^2 \\\\\\ xx-2=49 \implies xx=51[/tex]

Answer:

g = 7

Step-by-step explanation:

subtract 3 from both sides of the equation

3+g=10

-3     -3

g = 10-3

g = 7

Answer:

$21.50

Step-by-step explanation:

Mr. Gutierrez had $100 to purchase candy for his students that completed their work.

He bought 8 bags of jolly ranchers

Each bag of jolly ranchers cost $3.25.

Hence, the cost of 8 bags of jolly ranchers = 8 × $3.25

= $26

He also bought 25 bags of assorted chocolate and each bag of assorted chocolate cost $2.10.

Hence, the cost of 25 bags of assorted chocolates = 25 × $2.10

= $52.5

Therefore, the amount of money Mr. Gutierrez has left over after these purchases is calculated as:

Total amount - Sum of ( Cost of 8 bags of jolly ranchers + 25 bags of assorted chocolates)

= $100 - ( $26 + $52.5)

= $100 - $78.50

= $21.50

Answer:

difference is 12 units

Step-by-step explanation:

line shown has a y-intercept of -4

now find y-intercept of f(x) by first finding its slope:

(-2,0) and (2,-32)

m = (0+32)/(-2-2)

m = 32/-4

m = -8 (slope)

Now find the y-intercept (or 'b') from substituting into 'y=mx+b':

0 = (-2)(-8) + b

0 = 16 + b

-16 = b (y-intercept)

-16 - (-4) = -12

Answer: D

Step-by-step explanation:

The statement says that the angles GIH and QRS must be the same measurement. To show that on diagrams, we use markings : if angles have the same markings, then it means they have the same measurement.

That way, we just need to see which diagram has the right measurements.

First, the angles GIH and QRS are the angles we see named by the letter in the center : then GIH and QRS.

So it must be the angles with letters of I and R that have the same markings.

A : doesn't work for I and R

B : doesn't work for I and R

C : doesn't work for I and R

D : works for I and R

it should be the D, of course if I didn't see well don't hesitate to make sure it's correct with what I said before :)

Answer:

the answer would be D

Step-by-step explanation:

the answer is D because of the person above me

All are required assumptions about the error term.

In regression analysis, there are several assumptions that need to be met regarding the error term :

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The solution is Option A.

Substitution is the second strategy for solving a system of equations

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

ax + by = c   be equation (1)

Let the second equation be represented as B

dx + ey = f   be equation (2)

On adding or subtracting both the equations , we can eliminate one of the variables from the system of equations

And , to calculate the other variable , substitute the value of the variable in either of the equations to solve the system of equations

So , we will get the value of the variable x and y

Hence , the system of equations can be solved by substitution

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Answer:

142%

Step-by-step explanation:

How I got this solution is made it as a ratio, "82.86:195.82".

I then simplified the balance by dividing 82.86 into both sides.

It then equaled around 0.42 (or 42%). Including itself, it got a markup percentage of 142%

Answer:

x = 2 and x = 5

Step-by-step explanation:

assuming you require to solve for x

the sum of the 3 angles in a triangle is 180°

the third angle in both diagrams is right , that is 90° as they are the angle in a semicircle.

sum the 3 angles and equate to 180

6

90 + 16x + 40 + 11x - 4 = 180

27x + 126 = 180 ( subtract 126 from both sides )

27x = 54 ( divide both sides by 27 )

x = 2

10

90 + 6x + 18 + 3x + 27 = 180

9x + 135 = 180 ( subtract 135 from both sides )

9x = 45 ( divide both sides by 9 )

x = 5

Value of c is determined 61 unit.

What is right-angled triangle?

Triangle that has one angle 90 degree is called right-angled. In case of a right triangle the square of the largest side length is equal of the sum of the square of the other two side length.

SA triangle has three side length 11-unit, 60 unit and 61 unit respectively.

The triangle is verified as a right-angled triangle by Pythagorean theorem.

And as the properties of a Pythagorean theorem the sum of the square of two side length is equal to the square of the largest side length.

if we say, one side length, a = 11 unit

             second side length, b = 60 unit

    the largest side length, c

now we will check,  

√(11²+60²) = c² =√3721 = 61

the value of c = 61 unit.

hence, the SA is right-angled triangle.

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