A large van is being used for a picnic. There will be 8 people riding in the van, and there are 8 seats in the van (one of which is the driver's seat). One of the 8 people will have to drive, but only 4 of the people are licensed to drive the van. In how many different ways could the people seat themselves in the van so that they have a licensed driver

Answer:

(x + 6)(x - 4)

Step-by-step explanation:

x² + 2x - 24

(x + 6)(x - 4)

-4 and +6 multiply to 24 and add to +2.

Answer:

Step-by-step explanation:

you can divide 5 divided by 3 and your answer will be 0.6

Answer:

9(3+c+4)=

27+9c+36=

63+9c=

Step-by-step explanation:

9(3+c+4)=

27+9c+36=

63+9c=

Answer:

No, it is not a solution

Step-by-step explanation:

Given

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

[tex]2x + y = 5[/tex]

Required

Is (4,3) a solution?

(4,3) implies that: [tex]x = 4\ y =3[/tex]

So:

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

[tex]4 - 3 = 4[/tex]

[tex]1 \ne 4[/tex]

Because 1 and 4 are not equal, then (4,3) is not a solution

Answer:

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

Answer: £188

Step-by-step explanation:

Given

The depth of the hole is 80 m

For the first meter, it is £30

After that, it is £2 per meter

after a meter, it is 79 m more

The total cost is C

[tex]\Rightarrow C=30+2\times 79\\\Rightarrow C=30+158=188[/tex]

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

I will do 9 only. You can do 11.

Question 9

sin(60) = x/8

sin(60)(8) = x

4•sqrt{3} = x

x^2 + y^2 = 8^2

(4•sqrt{3})^2 + y^2 = 64

16(3) + y^2 = 64

48 + y^2 = 64

y^2 = 64 - 48

y^2 = 16

sqrt{y^2} = sqrt{16}

y = 4

Do 11 the same way.

Answer: 803mm

Step-by-step explanation:

Answer:

The rate increases at 398mi/h

Step-by-step explanation:

Given

[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance

The given parameters is represented with the attached figure

Using Pythagoras theorem [take the attached image as a point of reference]

[tex]y^2 = x^2 + 1^2[/tex]

[tex]y^2 = x^2 + 1[/tex]

Differentiate with respect to time (t):

[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]

Divide both sides by 2

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)

When y = 2:

[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem

[tex]2^2 = x^2 + 1[/tex]

[tex]4 = x^2 + 1[/tex]

Collect like terms

[tex]x^2 = 4 -1[/tex]

[tex]x^2 = 3[/tex]

Solve for x

[tex]x = \sqrt 3[/tex]

So:

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]

Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]

[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]

[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]

Divide by 2

[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]

[tex]\frac{dy}{dt} = 230*1.7321[/tex]

[tex]\frac{dy}{dt} = 398.383[/tex]

[tex]\frac{dy}{dt} \approx 398[/tex]

Answer:

Your house burning down.

Step-by-step explanation:

You would have to pay to repair it.

Answer:

Earthquake will make the building crash and people will lost their things and money. And the building need to rebuild.

The building fire will make people lost their things and the building need to rebuild.

Tsunami will make the things near beach all destroy, all the things will lost and more people will die in disaster. All the building need to rebuild in this disaster.

Bank robbery will lost money, sometimes people will kill by the gun of the thief, and the building do not need to rebuild, maybe the window need to rebuild.

Rob the shop will make the boss of the shop lose all the money in the store, the door or window might need to rebuild.

Blasting vehicle will make the things in the car lose. the car need to put the windows on again.

Terrorist attacks will lost lives more than lost money or other things.

Volcanic eruptions will make the building near burn, and so plant and many other things. The building might need to rebuild.

That is all I can think of.

Answer:

Step-by-step explanation:

Answer:

3) Obtuse

4) Right

Step-by-step explanation:

3)

11 + 13 > 25 It is a triangle

11² + 13² = 25²

121 + 169 = 625

290 ≠ 625

Since hypotenuse is larger, the triangle is obtuse

4)

21 + 28 > 35 It is a triangle

21² + 28² = 35²

441 + 784 = 1225

1225 = 1225

Since the hypotenuse is equal to the legs, it's a Right triangle

Answer:

square root of 338 or 18.38

Step-by-step explanation:

since a² and b² are equal, you would do 13² plus 13² then add those and you end up with 338. then you find the square root of 338 which is 18.38477631, or 18.38

Answer:

Don't take my word for it because I havent dont this in a while but I believe it is the top right

Answer:

The answer is x= 7/30

Answer:

The equation of the form P(n) is:

P(n)=-0.002n+75

Step-by-step explanation:

From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:

m=(p1-p2)/(n1-n2)

m=slope

p1=69

p2=61

n1=3000

n2=7000

m=(69-61)/(3000-7000)

m=8/-4000

m=-0.002

Now that you have the slope, you can find the the equation of the form P(n):

P(n)=-0.002(n-3000)+69

P(n)=-0.002n+6+69

P(n)=-0.002n+75

According to this, the answer is that the equation of the form P(n) is:

P(n)=-0.002n+75

Answer:

A

Step-by-step explanation:

its a bec count how many student are their an see if they add IP to 30

The Venn diagram which shows the number of students who play basketball and baseball is option A.

Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.

Let A denotes the students playing baseball and B denotes the student playing basketball.

N(A) = 18

N(B) = 17

N(A ∪ B) = 30

We know,

N(A ∩ B) = N(A) + N(B) - N(A ∪ B)

              = 18 + 17 - 30

              = 35 - 30

              = 5

Number of students who play both baseball and basketball = 5

Number of students who plays only baseball = 18 - 5 = 13

Number of students who plays only basketball = 17 - 5 = 12

This is shown in A.

Hence the correct option is A.

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Answer:

25 questions,

$18.75

Step-by-step explanation:

Remember, to change percents to decimals, divide the number by 100 and remove the parentheses.

1. 84%, or 21 questions of Roy's test were correct.

Let's set the number of questions on the test as "x". We can then write this equation:

84% * x = 21

Simplify.

0.84 * x = 21

Divide both sides by 0.84

x = 25

There were 25 questions on the test.

2. Cheesecake Factory question

We need to find 15% of 125.

15% * 125 =

0.15 * 125 =

18.75

They need to leave a $18.75 tip.

I hope this helps! Feel free to ask any questions!

For adding variables we use the coefficient as 1 if there is no number infront of variable.

An expression is combination of variables, numbers and operators.

A coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression.

Let us consider a algebraic expression

ax+by+z=0

In the given expression a, b are coefficients of x and y respectively.

We use coefficient as one when there is no number before a variable because when we add variables there should be some number before varibales. So we consider 1 as coefficient for those variables which does not have any coefficient.

Hence, for adding variables we use the coefficient as 1 if there is no number infront of variable.

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Answer:

Mean: 10

Median: 10.5

Mode: none

Step-by-step explanation:

there is no mode, mean is 10 and median is 10.5

Answer:

37.68

Step-by-step explanation:

Well, the first thing first is to know the outline of the question. So I made sure I knew the diameter. In this case we didn't, so I multipilied 6 by 2 and got 12. Then I multipyed 12 by 3.14 to get 37.68

Answer:

F = (-2,4); E = (-2,0); D = (2,0)

Step-by-step explanation:

F = 4 points from A, so by a scale factor of 2, it would be 2 times father away from A. The same thing applies for all of the other points; just find how much father A is from a point, then dilate that point by multiplying it by the scale factor, and settling the point closer or father from A.

Answer:

8y+5

Step-by-step explanation:

Answer:

x=-2 and y =0

Step-by-step explanation:

2x + 3y=-4

y=2x + 4

2x -y = -4

4y= 0

y = 0

2x -0=-4

2x =-4

x=-2

Answer:

True

Step-by-step explanation: