there are 10 boys and 15 girls. The teacher chooses a student by random. Eric says that the probability for a boy to be chosen is 0.5. Jenny says he is wrong. Who is correct. Give reasons

Answer:

3(2(4)(3)(2.8))

3(24(2.8))

3(67.2)

2016

     To prove this, we need to show that 2 is equal to x.

     Given:

2(x + 5) - 3x = 7x - 6

     Distribute:

2x + 10 - 3x = 7x - 6

     Combine like terms:

-1x + 10 = 7x - 6

     Add 1x to both sides of the equation:

10 = 8x - 6

     Add 6 to both sides of the equation:

16 = 8x

     Divide both sides of the equation by 8:

2 = x

     Reflexive property:

x = 2

       ✓

2(x + 5) - 3x = 7x - 6

x = 2

Answer:

a) the answer it 10 so no

b) the answer is −39 so nah

c) the answer is 48, nope

d) the answer is  34, did you mean to write 34 instead of 24?

Step-by-step explanation:

Answer:

Not linear

Step-by-step explanation:

Can be written into the form of [tex]y=mx+b\\[/tex].

The value of x is found as 3 using the method of substitution.

For the given expression, use substitution method to solve.

2x + y = 7  ........eq 1

y = 2x - 5  ........eq 2

Substitute the value of y from eq 2 in eq 1.

2x + 2x - 5 = 7

Solving;

4x = 7 + 5

4x = 12

x = 3

Thus, the value of x is found as 3.

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Answer:

36

Step-by-step explanation:

24 customers dividend into 4 tables

so 24/4 = 6

then 6 customers can sit in 1 table

in case of 6 tables 6×6 =36

36 customers would sit in 6 tables

California is the most populated state, New York is the least populated, and 26% of Americans live in California, New York, and Texas.

Convert all statistics to percentages:

CA: 3 25 = 0.12 or 12%, 0.12 100 to calculate percentages.

NY: 3 50 = 0.06, or 6%, and 0.06 100 to get the percentage.

TX: 2 25 = 0.08 = 8%, 0.08 100 = percent

(A) California has the largest population of the three states.

(B) New York has the smallest population of the three states.

(C) USA = 100%, CA + NY + TX = 26%, so 74% of Americans do not live in these three states.

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Answer:

the answer you are looking for is D

[tex]8 + 3x = 1 + 7.9x \\ \\ \implies 3x - 7.9x = 1 - 8 \\ \\ \implies - 4.9x = - 7 \\ \\ \implies \: x = \frac { \cancel{- 7}}{ \cancel{ - 4.9} } \\ \\ \implies \: x = 1.43[/tex]

choti bachi hô kya itne simp question ka answer kon puchta hai xD

Answer: y=-47/5

Step-by-step explanation:

Yw

The value of of slope of is 1/4.

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope of lines in a coordinate plane can aid in anticipating whether the lines are parallel, perpendicular, or none at all without actually using a compass.

Any two distinct places along the line can be used to determine the slope of any line. When two different places on a line are considered, the slope of a line formula compares the "vertical change" to the "horizontal change" in each case. The difference between the line's y and x coordinate changes is known as the slope of the line. Net changes in the y and x coordinates are as follows: y = y and x = x.

m = [tex]y_{2} - y_{1} /x_{2} x_{1}[/tex]

m = 1/4

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Answer:

y=4x+9

Step-by-step explanation:

y-Y1= m× x-X1

Y-1 = 4×X+2

y-1 = 4x+8

y=4x+9

Answer:

16/5

Step-by-step explanation:

The direct variation equation (where k is the constant variation):

z = kw

First, we must solve for k:

k = w/z

Plug in -5 and 2:

k = 2/-5 = -2/5

Now plug k into the formula with 8 to solve for z:

z = -2/5 x 8 = 16/5

The numerical length of GH = 20 units

FH is a line segment.

G is a point on the line segment.

Then G divides the line segment FH into two line segments FG and GH.

We are given the lengths of FH, FG and GH in terms of x.

That is,  FH=4x+8, FG=x and GH=5x

We need to find the numerical length of the line segment GH. We first need to find the x for this.

As G cuts the line segment FH into two parts, the length of the line segment FH is the sum of the lengths of the line segments FG and GH.

That is, FH = FG + GH

⇒ 4x+8 = x +5x

⇒ 4x+8 = 6x

⇒ 2x = 8

⇒ x = 4

So the numerical length of GH = 5x = 5 x 4 = 20 units

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The linear equation in point-slope form of a line with a slope of 23 and point (3,-2) is y = 23x - 71.

The slope intercept formula is expressed as;

y = mx + b

Where m is the slope and b is the y-intercept.

Given the data in the question;

Point: (3,-2)

First, use the the formula for the equation of line to determine the y-intercept 'b'.

y = mx + b

Plug in slope m = 23 and point (3,-2)

-2 = (23)3 + b

-2 = 69 + b

b = -2 - 69

b = -71

Now that we have both the slope m ( 23 ) and y-intercept b ( -71 ), plug these values into y = mx + b to find the linear equation.

y = mx + b

y = 23x + (-71)

y = 23x - 71

Therefore, the equation of the line is y = 23x - 71.

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The total distance climbed by Kristen and her family is 16 meters.

It is given in the question that Kirsten and family climb down to 8 meters below ground level. Then they climb the opposite of 8 meters to return to ground level.

We have to find the total distance climbed by Kristen and her family.

We know that,

Total distance climbed by Kristen and her family = Distance climbed down the cave + distance climbed up the cave to reach ground level

Hence, we can write that,

Total distance climbed by Kristen and her family = 8+8 = 16 meters.

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Answer:

x = 2

Step-by-step explanation:

x + 3 + 1/2 x + 3 +x + 1 = 12  Combine like terms

21/2 x + 7 = 12   Subtract 7 from both sides of the equation

2 1/2 x = 5

Another name for 2 1/2 is [tex]\frac{5}{2}[/tex]        ([tex]\frac{2}{2}[/tex] + [tex]\frac{2}{2}[/tex] + [tex]\frac{1}{2}[/tex])

[tex]\frac{5}{2}[/tex] x = 5  Multiply both sides of the equation by [tex]\frac{2}{5}[/tex]

[tex](\frac{2}{5})[/tex][tex](\frac{5}{2})[/tex]x = [tex]\frac{2}{5}[/tex][tex](\frac{5}{1})[/tex]

x = 2

The function F(20) is 50

The most common symbols for a function are the letters f, g, and h. A function's value at an element of its domain x is denoted by the notation f(x), and the numerical value obtained from the function evaluation at a specific input value is denoted by substituting that value for x. For instance, the value of f at x = 4 is denoted by the notation f(x) (4). When a function isn't given a name and is instead represented by the expression E, the value of the function at, say, x = 4 may be shown by the notation E|x=4.

Given that :f(x) = 2x + 10

f(x) = 2x + 10

F(20)= 2(20) + 10

F(20)= 40 + 10

F(20)= 50

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Answer:

y = mx + b

y = 1/4x + 2

Step-by-step explanation:

m(slope) = rise/run = 1/4

b(y intercept) = 2

Answer:

Terms: x, 4y, 32

variables: x, y

constant: 32

coefficients: 4, 1

Step-by-step explanation:

Hope this helps!

Given,

f(x) = 1x + 12

expression to be in form of h

To find on the interval: [9, 9 + h]

∵ Average rate of change of f(x) on interval (a,b) is

A = f(b) - f(a) / b - a

⇒ f(9) = 1 x 9 + 12 = 21

⇒ f(9 + h) = 9 +h + 12 = 21 + h

⇒ f(b) - f(a) = 21 + h - 21 = h

⇒ (b-a) = 9 + h - 9 = h

∴ Average rate of change = h / h

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She buy 48 inches of ribbon to have the exact amount that she needs.

Given,

Area of the ribbon = 144 sq. inches

and, We know the formula for side of square is =[tex]\sqrt{Area of a square }[/tex]

Plug the value of area of square in above formula

Side of a Square = [tex]\sqrt{144}[/tex] = 12 inches

Now, we get the side of a square i.e., 12 inches

According to the question:

Sonya wants to sew ribbon along each side of a square pillow.

So, we need to find the perimeter of the square pillow.

and, Perimeter of a square is = 4 x side

=> Perimeter = 4 x 12 = 48 inches.

Therefore, She buy 48 inches of ribbon to have the exact amount that she needs.

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Answer:

2; 6

Step-by-step explanation:

for the first shape there are 2 lines of symmetry

TWO

for the hexagon or the regular polygon there are 6 lines of symmetry

SIX

you can find lines of symmetry by drying a line down and seeing if when you fold them they will be exactly the same

Answer: yes, the value of x is 4 and angle HEB is 36 degrees

Step-by-step explanation:

1a. Find the value of angle CEB

Given that line segment AB and line segment EC are perpendicular you know they are right angles and therefore are equal to 90 degrees

2a.set up an equation

After noticing that angle CEB is 90 degrees you know that angle HEB+CEH=90 degrees: 13x+9x+2

3a. Solve the equation

13x+9x+2=90

22x+2=90 | combine like terms

22x=88 | subtract 2 from both sides

x=4 | divide by 22 on both sides

1b. Set up equation

Knowing x=4 and that angle HEB is 9x the equation is 9(4)

2b. Solve the equation

9(4)

36

Answer:

x= -1, -13

Step-by-step explanation:

Answer: x=-13   x=-1

Step-by-step explanation:

[tex]x^2+14x=-13\\x^2+2(x)(7)+7^2-7^2=-13\\(x^2+2(x)(7)+7^2)-49=-13\\(x+7)^2-49=-13\\(x+7)^2-49+49=-13+49\\(x+7)^2=36[/tex]

[tex](x+7)^2-36=36-36\\(x+7)^2-36=0\\(x+7)^2-6^2=0\\(x+7+6)(x+7-6)=0\\(x+13)(x+1)=0\\x+13=0\\x+13-13=0-13\\x=-13\\x+1=0\\x+1-1=0+(-1)\\x=-1[/tex]

Answer:

‎

4 + (-125)‎

= 4 - 125‎

= -121‎

‎