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Answer:

A.54

Step-by-step explanation:

because 162 divided by 3 equal 54.3

Answer:

x=[tex]-\frac{13}{15}[/tex]

or 15x=-13

Step-by-step explanation:

20x+17=35x+30

20x-35x=30-17

-15x=13

x=[tex]-\frac{13}{15}[/tex]

Answer:

52 units^2

Step-by-step explanation:

The area of the dresser is simple. It is just a rectangle that is 4 units by 3 units.

A_dresser = LW = 4(3) = 12 units^2

The area of the bed is a little more complicated, but you can get by using just areas of rectangles.

See the picture below.

Notice that the entire bed fits within a square (shown in blue) that is 9 units by 9 units.

The area of the square is 81 units^2.

We need to subtract the areas of the 4 triangles at the corners.

There are two triangles, top left and bottom right (shown in green), that have a base of 5 and a height of 5. They combine to for a square that is 5 units by 5 units. The area of this square is 25 units^2.

There are two triangles, top right and bottom left (shown in red), that have a base of 4 and a height of 4. They combine to for a square that is 4 units by 4 units. The area of this square is 16 units^2.

Now subtract 25 and 16 from 81 to get the area of the bed.

81 - 25 - 16 = 40

A_bed = 40 units^2

Combined area of bed and dresser:

A = 40 units^2 + 12 units^2 = 52 units^2

Answer: 52 units^2

Here's another way of finding the area of the bed:

Count the number of full squares inside the bed (there are 31). Each full square is 1 unit^2. Then count the number of half-squares inside the bed (there are 18). Each half-square is 1/2 units^2. Add them all up:

31 + 1/2 * 18 = 31 + 9 = 40

You get 40 units^2

Answer/Step-by-step explanation:

2x-5y=9

Add 5y  to both sides of the equation.

2x=9+5y

Divide each term by 2 and simplify.

Divide each term in 2x=9+5y by 2

[tex]\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}[/tex]

Cancel the common factor of 2.

Divide x by 1.

[tex]x=\frac{9}{2} +\frac{5y}{2}[/tex]

[tex]y=\frac{-9}{5} +\frac{2x}{5}[/tex]

----------------------------------------------------------------------------------------------------------------

3x+4y=2

Add 4y to both sides of the equation

3x=2+4y

Divide each term by 3 and simplify.

Divide each term in 3x=2+4y by 3.

[tex]\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}[/tex]

Cancel the common factor of 3.

Divide x by 1.

[tex]x=\frac{2}{3} +\frac{4y}{3}[/tex]

[tex]y=\frac{-1}{2} +\frac{3x}{4}[/tex]

Answer:

0.649

Step-by-step explanation:

The probability that the number of people who show up to the plane exceed the capacity of the plane is 0.257.

Binomial distribution in probability is the discrete distribution that results in only two possible values in an experiment. The two possible values are either success/ true/ one which is denoted by probability 'p' or failure/ false/ zero which is denoted by q = 1 - p.

Binomial distribution formula can be written as,

P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

where, n is number of experiments and x = 0, 1, 2, ...

Here, it is given that capacity of plane is 68

Number of people actually booked for flight is 70 ⇒ n = 70

Probability that people booked on their flight actually show up = 0.97

So, p = 0.97

⇒ q = 1 - p = 1 - 0.97 = 0.03

Let P be the probability that the number of people showing up exceed the capacity of the plane.

P = P (x = 69) + P (x = 70)

P = [⁷⁰C₆₉ (0.97)⁶⁹ (0.03)⁷⁰⁻⁶⁹] + [⁷⁰C₇₀ (0.97)⁷⁰ (0.03)⁷⁰⁻⁷⁰]

P = [ 70 × 0.122 × 0.03] + [1 × 0.119 × 0.03]

P = 0.2562 + 0.00357

P = 0.2598 ≈ 0.257

Hence, probability that the number of people who show up will exceed the capacity of the plane is 0.257.

To learn more on binomial probability distribution, click:

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Answer:

the answer is 207550

.............................

Answer:

1. 19 (x) = 7

2. -32 + x = 2

3. x ÷ -27 = 8

4. x - 12 = 5

5. 1/3 (x) = 3

Step-by-step explanation:

:)

Answer:

B

Step-by-step explanation:

x = -5

Put in -5 for x, and expand:

-40(k-x) = -40(k+5)

B. -40(k+5)

Answer:

Step-by-step explanation:

The km/minute is different for segment, so "The train does not always go . . ."

Tha average speed in km/minute of the 3 points is 3.2km/min. 10 minutes would be 32km.

===

Divide the cost by the number of people. It is $7/person in each case. The cost for each person appears to be the same. If Sam knew more math, he could charge each person $10 and end the evening $3/person richer. He would need at least 3 people to cover his own expense, and have $2 left for a tip to the attentive waitress who approved his strategy for profiting from his math skills.

Answer:

-110

Step-by-step explanation:

Answer:

-110

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is C

Keegan is correct, Annie didn't line up the decimals correctly.

Answer:

Step-by-step explanation:

16.) (3/5)+(-13/5) = (3-13)/5

(3-13)/5 = -10/5, or -2

17.) -1 3/20 - (-3/4)

-(20/20+3/20) + (3/4)

-23/20 + 3/4

-23/20 + 15/20

-8/20

-2/5

18.) (-8/15)/(-1+1/3)

(-8/15)/(-3/3+1/3)

(-8/15)/(-2/3)

(-8/15)*(-3/2)

24/30

4/5

Answer: first a it’s left side is shorter while on the other polygoes there left sides longer for the first two

in the third one it goes size wise

Step-by-step explanation:

Answer:

of the 30 students in the class, 2/3 are wearing jackets. How many students in the class are wearing jackets.

Step-by-step explanation:

For the first one, the equation would be 1/3(30)

for the second, the equation would be 3/2(30)

and the last on would be the same as the first. 1/3(30)

Answer:

-5(-2)=10

Step-by-step explanation:

Let be x

[tex] - 5 \times - 2 = x \\ take \: minus \: to \: rhs \: from \: lhs \\ 5 \times ( - 2) = - x \\ - 10 = - x \\ cancel \: minus \: on \: both \: sides \\ 10 = x[/tex]

Answer:

The answer is 0.04a² - 0.04ab - 0.15b²

Step-by-step explanation:

(0.2a - 0.5b) ( 0.2a + 0.3b)

0.04a² + 0.06ab - 0.1ba - 0.15b²

0.04a² + 0.06ab - 0.1ab - 0.15b²

0.04a² - 0.04ab - 0.15b²

Thus, The answer is

0.04a² - 0.04ab - 0.15b²

-TheUnknownScientist 72

Answer:

Q'(-4,0), R'(-4,1), S'(0,0), T'(-3,-3)

Step-by-step explanation:

To solve this, what we need to do is find out what the translation is. So if we are translating those coordinates up two units, then that means we are basically adding two to the y value.

So that means that we will use the mapping (x,y)→(x,y+2)

Now we plug this in. We will start with Q:

Q(-4,-2)→Q'(-4,-2+2)→Q'(-4,0)

So when Q is translated two units up, we get Q'(-4,0).

Now we will do R:

R(-4,-1)→R'(-4,-1+2)→R'(-4,1)

So when R is translated two units up, we get R'(-4,1).

Now we will do S:

S(0,-2)→S'(0,-2+2)→S'(0,0)

So when S is translated two units up, we get S'(0,0).

Next we will do T:

T(-3,-5)→T'(-3,-5+2)→T'(-3,-3)

So when T is translated two units up, we get T'(-3,-3).

Answer:

Step-by-step explanation:

Hello  there !

    [tex]\boxed{\begin{array}{c|c} \boxed{\bf x} & \boxed{\bf y+2} \\ -4 & 0 \\-4&1\\0\!\!\!\!&0 \\ -3 &-3 \end {array }}[/tex]

Answer:

isoseles triangle

explanation: none of the sides are the same

hope this helps

Answer: SCALENE

Step-by-step explanation:

All sides are unequal, ISOSELES has 2 equal sides and EQUILATERAL all sides are equal.

Answer:

a quadratic function is letter A

Answer:

$23.20

Step-by-step explanation:

1 hour of work = $2.90

8 x 2.90 = 23.20

8 hours of work will get an employee $23.20

If they worked 8 hours daily in a week:

7 x 23.20 = 162.40

Working 8 hours every day in a week will get them $162.4

Answer:

[tex] \frac{15}{13} = 1 \frac{2}{13} [/tex]

Step-by-step explanation:

[tex]2 \frac{1}{2} \div 2 \frac{1}{6} \\ \\ \\ \frac{5}{2} \div \frac{13}{6} \\ \\ \\ \frac{5}{2} \times \frac{6}{13} \\ \\ \\ \frac{5}{1} \times \frac{3}{13} \\ \\ \\ = \frac{15}{13} \\ \\ \\ = 1\frac{2}{13} [/tex]

I hope I helped you^_^

Answer:

[tex]2 \frac{1}{2} /2 \frac{1}{6} = \frac{5}{2} / \frac{13}{6} [/tex]

[tex] = \frac{5}{2} \times \frac{6}{13 } = \frac{5 \times 6}{2 \times 13} [/tex]

[tex] = \frac{5 \times 3}{1 \times 13} [/tex]

[tex] = \frac{15}{13} [/tex]

[tex] = 1 \frac{2}{13} [/tex]

Step-by-step explanation:

Thank you!!!!!!!!!!!

Answer: D; B

Step-by-step explanation: 1 and 4 are alternate exterior angles if you use process of elimination, all the other pairs are, alternate exterior, corresponding or same side interior angles. angles 1 and 4 are in between lines a and b when lines a and b have the transversal of c. with process of elimination, c is the only logical answer, as 1 and 4 both lie on that line. which leaves you with two answers. if you draw out lines a and b with a transversal of c and the lines b and e with the transversal of c, then B is the only logical answer. goodluck :) i just finished this unit :D

Answer:

y-4=1x-4

Step-by-step explanation:

put in format : y2-y1=m(x2-x1)

y-4 = 1(x-4)

distribute

y-4=1x-4

Answer:

Surveying To approximate the length of a marsh, a surveyor walks 250 meters from point  to point  , then turns  and walks 220 meters to point  (see figure). Approximate the length  of the marsh.

hope it helped

Step-by-step explanation:

The approximate length of the lake is 625 yards.

Given that, a surveyor starts at one end of the lake and walks 245 yards.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

He then turns 110 and walks 270 yards until he arrives at the other end of the lake.

Total length of the lake is

245+110+270 =625 yards

Therefore, the approximate length of the lake is 625 yards.

Learn more about the total here:

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We can convert the line 7x + 3y = 15 into the slope-intercept form (y = mx + c) by making y the subject of the equation. In this form the coefficient of x (m) is the slope.

Since 7x + 3y = 15

                 3y = -7x + 15

                   y = - ⁷/₃x + 5

∴ the slope is NEGATIVE.

Check your answer:

A line with a negative slope is highest to the left and lowest to the right. This is because when x values increase, the y  values decrease, and when x values decrease, y values increase (the two variables are negatively related). If we graph the line this should be true, and it is.

  Angle Q = 31°  

  Angle R = 118°

   Angle S = 31°