Fred is walking to the park after school. After playing ball at the park with his friends, he will be walking to his grandmother's house for dinner. There are six different routes from his school to the park and seven routes from the park to his grandmother's house. How many different ways can Fred walk from the school to the park and then from the park to his grandmother's house? A. 7 B. 42 C. 13 D. 45

Q1. Answer:  [tex]\bold{\dfrac{1}{4}}[/tex]

Step-by-step explanation:

[tex]\dfrac{even\ numbers}{total\ numbers}\times \dfrac{even\ numbers}{total\ numbers}\\\\\\=\dfrac{3}{6}\times \dfrac{3}{6}\\\\\\=\dfrac{1}{2}\times\dfrac{1}{2}\\\\\\=\large\boxed{\dfrac{1}{4}}[/tex]

Q2. Answer:  [tex]\bold{\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{red\ spins}{total\ spins}=\dfrac{25}{50}=\large\boxed{\dfrac{1}{2}}[/tex]

Answer:

The correct answer is 44

Step-by-step explanation:

6(8)-4

48-4

44

Answer:

f(8) = 44

Step-by-step explanation:

Plug in 8 for x. Then evaluate the expression.

f(x) = 6x - 4

Where you see x, substitute it with 8.

f(x) = 6x - 4

f(8) = 6(8) - 4

f(8) = 48 - 4

f(8) = 44

The answer is 270cm cubed.

What is the volume of the rectangular prism?

270 cm^3

Answer:

80°

Step-by-step explanation:

The angles of a triangle must add up to 180°.

40° + 60° + missing angle = 180°

100° + missing angle = 180°

subtract 100° from both sides

missing angle = 80°

Answer: No

Step-by-step explanation: 2/6 is not equal to 2/3. Find common denominators. The common denominator would be 6. So multiply each number in 2/3 by 2. You will get 4/6. 4/6 is not equal to 2/3.

Answer:

X= -8. (-8,8)

Step-by-step explanation:

If -4x-y=24 and y = 8 then it is -4x-8=24. +8 on both sides. -4x=32. divide -4 on both sides and you get that x = -8 because 32 divided by -4 is -8.

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Josiah Rowell

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Answer:

(-8,8)

Step-by-step explanation:

-4x-y = 24

We know that y =8

Substitute that into the equation

-4x-8 = 24

Add 8 to each side

-4x-8+8 = 24+8

-4x = 32

Divide by -4

-4x/-4 = 32/-4

x = -8

Answer:

The volume of juice is 38.4 pi in^3

Step-by-step explanation:

First we need to find the volume of the cylinder

V = pi r^2 h

We need the radius

r = d/2 = 8/2 =4

V = pi * 4^2 *12

V = pi *16*12

V = 192 pi in^3

Remember we need the exact volume so we cannot approximate pi

Now it is 20% full of juice

Multiply the volume by 20 percent

192 pi * 20%

192 pi * .20

38.4 pi

The volume of juice is 38.4 pi in^3

Answer:

Step-by-step explanation:

(1 + √3) (2 - √3) = 2 - √3 + 2√3 - 3 = 2 - 3 - √3 + 2√3 = -1 + √3 or -(1 - 2√3)

For this case we must simplify the following expression:

[tex](1+ \sqrt {3}) (2- \sqrt {3})[/tex]

We apply distributive property:

[tex]2- \sqrt {3} +2 \sqrt {3} - \sqrt {3} * \sqrt {3} =[/tex]

We take into account that different signs are subtracted and the sign of the major is placed:

[tex]2+ \sqrt {3} - (\sqrt {3}) ^ 2 =\\2+ \sqrt {3} -3 =[/tex]

We take into account that different signs are subtracted and the sign of the major is placed:

[tex]-1+ \sqrt {3}[/tex]

Answer:

[tex]-1+ \sqrt {3}[/tex]

Answer:

[tex]\boxed{\bold{True \ For \ All \ x}}[/tex]

Explanation:

[ Step One ] Group Like Terms

[tex]\bold{5\left(2x-3\right)=x+9x-15}[/tex]

[ Step Two ] Combine Similar Elements: [tex]\bold{x+9x=10x}[/tex]

[tex]\bold{5\left(2x-3\right)=10x-15}[/tex]

[ Step Three ] Expand [tex]\bold{5\left(2x-3\right): \ 10x-15}[/tex]

[tex]\bold{10x-15=10x-15}[/tex]

[ Step Four ] Add 15 To Both Sides

[tex]\bold{10x-15+15=10x-15+15}[/tex]

[ Step Five ] Simplify

[tex]\bold{10x=10x}[/tex]

[ Step Six ] Subtract 10x From Both Sides

[tex]\bold{10x-10x=10x-10x}[/tex]

[ Step Seven ] Simplify

[tex]\bold{0=0}[/tex]

[ [tex]\boxed{\bold{Final \ Answer}}[/tex] ]

➤ [tex]\bold{Both \ Sides \ Are \ Equal, \ True \ For \ All \ x}[/tex]

[tex]\boxed{\bold{Mordancy}}[/tex]

To solve the equation, distribute the 5 into the parentheses, combine like terms, and simplify to find that the solution for x is 0.

To solve the equation 5(2x \\- 3) = x \\- 15 + 9x for x, we start by distributing the 5 into the parentheses on the left side:

5(2x) - 5(3) = x - 15 + 9x

which simplifies to:

10x - 15 = x - 15 + 9x

Combine like terms by subtracting x from both sides:

10x - x - 15 = 9x - x - 15

Leaving us with:

9x - 15 = 8x - 15

Next, we can cancel the -15 on both sides, since they are equal and opposing, which simplifies the equation to:

9x = 8x

Subtract 8x from both sides to isolate x:

9x - 8x = 0

And we find that:

x = 0

Answer:

Step-by-step explanation:

You can't get an exact answer to this because there are no choices.

Add 9x to both sides.

3y = 9x + 12              Divide by 3

3y/3 = 9x/3 + 12/3    Combine

y = 3x + 4

Now to get anything at all that is parallel to this and providing no answer because there is no intersection of the two lines, just change the 4 to something else. Here's one example

y = 3x + 8

As long as the number in front of the x's is the same, they are parallel with no point in common.

It's a matter of opinion really, but I would say true.

Answer:

Step-by-step explanation:

The Fall is an environmental catastrophe and the relationship between man and the environment changed after that. The answer is True.

Answer:  The required solution is (x, y) = (5, -2).

Step-by-step explanation:  We are given to solve the following system of equations :

[tex]2x+5y=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x-4y=23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

From equation (i), we have

[tex]2x+5y=0\\\\\Rightarrow 2x=-5y\\\\\Rightarrow x=-\dfrac{5}{2}y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

Substituting the value of x from equation (iii) in equation (ii), we get

[tex]3\times\left(-\dfrac{5}{2}y\right)-4y=23\\\\\\\Rightarrow -15y-8y=46\\\\\Rightarrow -23y=46\\\\\Rightarrow y=-\dfrac{46}{23}\\\\\Rightarrow y=-2.[/tex]

From equation (iii), we get

[tex]x=-\dfrac{5}{2}\times(-2)=5.[/tex]

Thus, the required solution is (x, y) = (5, -2).

Final answer:

To solve the simultaneous equations 2x+5y=0 and 3x-4y=23, you can multiply the first equation by 4 and the second by 5 to eliminate y, solve for x, and then substitute back to find y. The solution is x = 5 and y = -2.

Explanation:

To solve the simultaneous equations 2x+5y=0 and 3x-4y=23 using an algebraic method, one effective technique is to eliminate one of the variables to solve for the other. Let's eliminate y and solve for x.

Multiply the first equation by 4, and the second equation by 5, to make the coefficients of y equal but opposite in sign.

4(2x+5y) = 4(0) → 8x+20y = 0

5(3x-4y) = 5(23) → 15x-20y = 115

Add the two resulting equations to eliminate y.

8x + 20y + 15x - 20y = 0 + 115

23x = 115

x = 115/23

x = 5

Substitute x back into one of the original equations to solve for y. Using the first equation:

2(5) + 5y = 0

10 + 5y = 0

5y = -10

y = -2

The solution to the simultaneous equations is x = 5 and y = -2.

Answer:

[tex]8\ days[/tex]

Step-by-step explanation:

we know that

using proportion

[tex]\frac{1}{(5/8)}\frac{day}{pounds}=\frac{x}5}\frac{days}{pounds}\\ \\x=5*8/5\\ \\x=8\ days[/tex]

Answer:

(10, 1)

Step-by-step explanation:

-x = -y - 9 has already been solved for -x.  Multiply every term of this equation by -1 to obtain x = y + 9.  

Now substitute y + 9 for x in the first equation.  We get:

(y + 9) + y = 11, or, after combining the y terms, 2y = 2.

Solving for y, we get y = 1.

Subbing 1 for y in the first equation results in:  x + 1 = 11.

This yields x = 10.

Thus, the solution is (10, 1).

Answer:

160°

Step-by-step explanation:

We can use the central angle theorem for this. It says that an angle inscribed in a circle (on the circumference) measured half of the arc it intercepts (by 2 points on the circumference of the circle).

that would mean that Angle KAW is half of measure of Arc KW. Thus we can write:

m∠A = 0.5 (arc KE + arc EW)

x+45 =0.5 (x+20+3x)

x+45 = 0.5(4x+20)

x+45 = 2x + 10

45 - 10 = 2x - x

Thus, x = 35

Since Arc KW = Arc KE + Arc EW and x = 35, we can say:

Arc KW = x + 20 + 3x = 35 + 20 + 3(35) = 160°

The value of the arc KW subtended from the center of circle O is 160°.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the circle O:

m KW = m KE + m EW (angle addition postulate)

m KW = (x + 20) + (3x)

m KW = 4x + 20

m KW = 2m∠A (angle subtended from center)

4x + 20 = 2(x + 45)

x = 35

m KW = 4(35) + 20 = 160°

The value of the arc KW subtended from the center of circle O is 160°.

Find out more on equation at: https://brainly.com/question/2972832

Answer: [tex]\frac{x+5}{x+3}[/tex]

Step-by-step explanation:

The problem gives you the following expression:

[tex]\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}[/tex]

Therefore, to add the fractions with equal denominator, you must rewrite the denominator (x+3) and add the numerators of each one of the fractions.

Then, keeping the above on mind, you obtain the sum shown below (You must remember to add the like terms):

[tex]\frac{x+3+2}{x+3}=\frac{x+5}{x+3}[/tex]

Answer:

(x + 5)/(x + 3)

Step-by-step explanation:

I take all three fractions have a denominator of x + 3. If that is correct, then the question should be written as

x/(x + 3) + 3/(x + 3) + 2/(x + 3)

(x + 3 + 2)/ (x + 3)

(x + 5)/(x + 3)

That's the answer

It would be 7.

Because 20-5-15 then 15-8=7

Answer:

18c - 30d + 36

Step-by-step explanation:

you multiply the number outside to the numbers inside the parenthesis.

6 * 3c = 18c

6* -5d = -30d

6*6= 36

Answer:

18c - 30d + 36

Step-by-step explanation:

6(3c - 5d + 6) = ?

You first multiple 6 to 3c. This leaves you with 18c. Next, you multiply 6 to (-5d). Remember that it is a negative because it has a minus sign in front of the number, leaving you with -30d. Lastly, you have 6 times 6, which is 36. This leaves us with the equation of 18c - 30d + 36. I hope this helped.

Answer:

532m squared is the answer

Step-by-step explanation:

Split the shape into two shapes

one will be a square and the other one a triangle

1) since the length and the width of the square is 18m just Multiply

18x18=324m squared

2) look carefully the width of the square you split is equal to the base of the triangle, so you connect the 18 and the 8 together.

18+8=26m squared

3) Now solve the triangle since you know the height which is 16m squared.

A=lw/2

26x16=416

416 divided by 2 is 208

4) finally just Add

208+324=532m squared

Hopes this helps!

Answer: 20° or 40° could be the two angles of the other similar triangle

Answer:

≈ 11 ounces

Step-by-step explanation:

(This is the easiest method I can explain, there is probably a simpler one)

We can make a system of equations (x = oz. of pure oil, y = oz. of mixture):

x + y = 100 oz. -> y = 100 - x

x + 0.0451y = 0.15(100) -> x + 0.0451y = 15

Using substitution, we get that x + 0.0451(100 - x) = 15.

This is equal to x + 4.51 - 0.0451x = 15.

Subtracting both sides by 4.51 and combining like terms gets us

0.9549x = 10.49.

Dividing both sides gives us about 11 ounces.

Final answer:

To obtain 100 ounces of a 15% oil-gas mixture from a 4.51% oil-gas solution, 10.49 ounces of pure oil should be added to the solution.

Explanation:

To solve the problem of how many ounces of pure oil should be mixed with an oil-gas solution that is 4.51% oil to get 100 ounces of an oil-gas mixture that is 15% oil, we can use a simple mixture equation. Let's denote the unknown quantity of pure oil to be added as x ounces.

First, we calculate the amount of oil already present in the 4.51% oil-gas mixture. If we have a total of 100 ounces, the existing oil in the mixture is 4.51% of this, that is 4.51 / 100 × 100 = 4.51 ounces.

Next, we know that the final mixture will have to be 15% oil. Therefore, in 100 ounces of this mixture, we will need 15% oil, which is 15 / 100 × 100 = 15 ounces of oil.

To find out how much pure oil to add, we subtract the amount of oil already present in the mixture from the total amount of oil needed. So, x + 4.51 = 15, which gives us x = 15 - 4.51 = 10.49 ounces of pure oil needed to be added.

Answer:

1

Step-by-step explanation:

cos^-1(0.39)=1.17... so i rounded to the nearest whole number, 1

Answer:

67°

Step-by-step explanation:

Apply the inverse cosine function to both sides, obtaining:

x = arccos 0.39

Using a calculator, obtain the value of x:

x = 1.17 (radians)

or

       1.17         180°

x = ---------- · ------------  =  67 degrees (to the nearest whole degree)

           1            π

           1

Answer:

12

Step-by-step explanation:

The nswer is 4p^2-28pq.            

Answer:

x < y + z  

Step-by-step explanation:

x - y < z

Add y to each side:     x < y + z

Answer:

um thats a Isosceles triangle s A is correct

Step-by-step explanation:

this is because it has a pair of congruent sides and a pair of congruent angles.

can i get brainiest

Answer:

A

Step-by-step explanation:

A triangle with 2 sides equal is an isosceles triangle

The markup percentage can be found by subtracting the cost price from the selling price, dividing by the cost price, and then multiplying by 100, resulting in a 30% markup.

The percent markup is calculated by finding the difference between the selling price and the cost price, then dividing that by the cost price and multiplying by 100.

Markup = (Selling Price - Cost Price) / Cost Price x 100

Markup = ($26 - $20) / $20 x 100

Markup = $6 / $20 x 100

Markup = 0.30 x 100

Markup = 30%

Answer:

√((4 - 9)² + (-1 - 7)²) = √((-5)² + (-8)²)

= √(25 + 64) = √89 = about 9.43 units

Answer:

D. 9 x (7 - 3)

Step-by-step explanation:

Subtracting 3 from 7 is (7-3), then multiplying by 9 is (7-3)x9.

A. Because it says three subtracted from seven so that goes first in the parentheses