simplify (3x+5)+(2x-9)-(4x+3)

Answer:

No. of large rooms = 7

No. of small rooms = 14

Set of equations

4x + 3y = 70  

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

Step-by-step explanation:

capacity of large rooms = 4 people

let the no. of large rooms be x

thus, total no of people which can be accommodated in x rooms = 4*x = 4x

capacity of small rooms  = 3 people

let the no. of small rooms be y

thus, total no of people which can be accommodated in y rooms = 3*y = 3y

total no. of people which can be accommodated in x large room and y small room will be = 4x + 3y

It is given that total small room and large room can accommodate 70 guests

thus,

4x + 3y = 70        _________equation 1

_________________

It is also given that Jose reserved twice as many small rooms as large rooms,

so, if no. of large rooms is x  and no. of small rooms is y

then

y = 2x        _________equation 2

substituting value of y in equation 1 we have

4x + 3(2x) = 70  

=>4x + 6x = 70  

=> 10x = 70

=> x = 70/10 = 7

No. of large rooms = 7

No. of small rooms = y= 2x = 2*7 = 14

Set of equations

4x + 3y = 70  

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

The number of the small rooms is 14.

The number of large rooms is 7.

Assuming that the number of the large rooms is x,

So, the number of small rooms is 2x

According to the question:

[tex]3[/tex] × [tex]2x[/tex] [tex]+ 4[/tex] × [tex]x = 70[/tex]

[tex]6x+4x=70\\10x=70\\x=7[/tex]

So, 2x = 2(7) = 14

Therefore, the number of the small rooms is 14 and the number of large rooms is 7.

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Answer:

it would be somewhere around 29161231

Step-by-step explanation:

it is m8

Answer:

This is the answer I am writing the answer rn

Step-by-step explanation:

Answer:

-9/8

Step-by-step explanation:

The two points given are

(1,6) and (9,-3)

The slope is given by

m = (y2-y1)/(x2-x1)

   = (-3-6)/(9-1)

   = -9/8

Answer:

5/6

Step-by-step explanation:

On a standard 6-sided die, there is only one 2. That means that there are 5 other numbers that it could land on (1, 3, 4, 5, 6).

Using that information, the probability of it not landing on a 2 is 5 out of 6 or 5/6. This is because you must do part over whole. The "part" in this situation is the 5 "wanted" numbers, and the "whole" is 6 because there are six potential numbers that it could land on.

I hope this helps.

The probability that it will not land on a 2 is 5/6

Probability is the likelihood or chance that an event will occur.

It will land on 2, Prob (land on 2) = 1/6

It will not land on 2, the probability will be given as:

Prob (not land on a 2) = 1 - 1/6

Prob (not land on a 2) = 5/6

Hence the probability that it will not land on a 2 is 5/6

Learn more on Probability here: https://brainly.com/question/25870256

Answer:

2

Step-by-step explanation:

3p + q = 8 and

3p - q = 10

then p+q is?​

--------

add up side-by-side:

6p=18 ⇒ p=3

q=8-3p= 8 - 9= -1

p+q= 3-1=2

Answer:

2

Step-by-step explanation:

3p + q = 8

3p - q = 10

→ Minus the two equations away from each other which would cancel out 3p

2q = -2

→ Divide both sides by 2 to isolate q

q = -1

→ Substitute q = -1 back into 3p + q = 8

3p - 1 = 8

→ Add 1 to both sides to isolate p

3p = 9

→ Divide both sides by 3 to isolate p

p = 3

⇒ The question asks us to find p + q so,

3 + - 1

→ Remember the minus cancels out the plus

3 - 1 = 2

Answer:

Step-by-step explanation:

We have 2 hexagons there, so we need to use the area formula for the large hexagon - the area of the small hexagon. As long as both of these are regular (and they are), we will use the formula

[tex]A=\frac{1}{2}ap[/tex]

where a is the apothem and p is the perimeter of the hexagon.  We'll start with the large one first.

Note that a hexagon has 6 central angles that are all equivalent in degree.  360 / 6 = 60 degrees. Each of those 6 triangles has a vertex angle of 60.  If we extract one of those triangles and then cut it in half by dropping an altitude from the vertex angle to the base of the triangle, we get a right triangle.  The vertex angle is 30, one base angle is 90 and the other is 60. The height of this right triangle is the apothem, for which we want to solve. Using right triangle trig,

[tex]tan(60)=\frac{a}{7}[/tex] The 7 comes from the fact that when we split the triangle in half by dropping an altitude, we not only split the vertex angle in half, we also split the base length in half...from 14 to 7. Continuing,

7 tan(6) = a and

a = 12.124

Filling in the area now for the large hexagon:

[tex]A=\frac{1}{2}(12.124)(84)[/tex] {the perimeter is 6 sides times a length of 4 per side} and

A = 509.208

Now for the small hexagon. We'll do the same thing...extract a triangle and cut it in half by dropping an altitude and solving for a which is the height of the triangle. This half triangle has a base of 3 (half of 6).

3 tan(60) = a and

a = 5.196

Filling in the area now for the small hexagon:

[tex]A=\frac{1}{2}(5.196)(36)[/tex] and

A = 93.528

Now subtract the smaller area from the larger:

509.208 - 93.528 = 415.68

Answer:

18√6  or  44.1

Step-by-step explanation:

3√216= 3√4*9*6=3*2*3√6=18√6 = 44.1

Answer: C

Step-by-step explanation:

in the problem, you know that the answer will be negative. -(-8/-4) gives you -2. There is no answer choice that is -2. Therefore, none of the above is your answer.

Answer:

d) x=25

Step-by-step explanation:

x-16=9

add 16 to both sides canceling out -16 and adding 9 and 16, making it positive 25

after moving 16 to the other side of the =, and adding it to 9 it should look like:

x=25

therefore making the answer x=25

Answer:

hope this is correct

Answer:

(4^5/b^7)^3

(1024/b^7)^3

1024^3/b^21

Answer:

A i think

Step-by-step explanation:

Answer:

B... -8<x

Step-by-step explanation:

When looking at the graph, we can see the arrow goes to the right, which means it will be that x is greater than whatever number. The open circle is on -8, so we know x is bigger than -8! Hope this helps

Answer:

S(t) = 10 - 0.5t

Step-by-step explanation:

initial depth of snow = 10 inches

melting rate =  0.5 inches per hour

it means that, in one hour snow depth will decrease by 0.5 inches

thus , in t hours  snow depth will decrease by 0.5*t = 0.5t inches

Thus, depth of snow after t hours can be calculated by

we will take initial depth of snow and them subtract the depth of snow which melted in t hours.

we are subtracting as snow is melting and will thus decrease the depth of snow

depth of snow after t hours can = initial depth of snow - decrease of the depth of snow after snow melts for t hours

depth of snow after t hours can = 10 inches - 0.5t inches

                                                       =  (10 - 0.5t )inches

Thus ,S(t), representing the depth of snow on Mason's lawn, in inches, t hours after the snow stopped falling is S(t) = 10 - 0.5t

Answer:

2 kg.

Step-by-step explanation:

F = m * a   (Newton's Second Law of Motion).

10 = m * 5

The mass m = 10/5 = 2 kg.

Solution,

Here,

Given,

Force= 10N

Acceleration= 5m/s^2

Mass= ?

Therefore, as we know that

Force= Mass× Acceleration

10=M×5

10/5= M

Therefore, M= 5kg.

Answer:

The equation is true when x = 4 because 6(4) = 24 that is x=4 satisfies the given equation.

Step-by-step explanation:

Given: [tex]6x=24[/tex]

To find: x

Solution:

A equation is a statement that defines the equality of two expressions or numbers.

[tex]6x=24[/tex]

Divides both sides by 6

[tex]\frac{6x}{6}=\frac{24}{6}\\x=4[/tex]

Therefore,

The equation is true when x = 4 because 6(4) = 24 that is x=4 satisfies the given equation.

Answer:

20

Step-by-step explanation:

Answer:

D.) The expected value is 1.78

Step-by-step explanation:

The expected value of a probability distribution is evaluated using the formula.

Expected Value, [tex]E(X)=\sum^{n}_{i=1}x_iP(x_i)[/tex]

Therefore, from the given probability distribution, we have:

E(X)=(0*0.3)+(1*0.2)+(2*0.16)+(3*0.2)+(4*0.04)+(5*0.1)

E(X)=1.78

The Expected value of X is 1.78.

The correct option is D.

Answer:

D.) The expected value is 1.78

Step-by-step explanation:

i took the test

Answer:

i<3u

Step-by-step explanation:

Let's solve for i.

9x−7i>3(3x−7u)

Step 1: Add -9x to both sides.

−7i+9x+−9x>−21u+9x+−9x

−7i>−21u

Step 2: Divide both sides by -7.

−7i

−7

>

−21u

−7

i<3u

Hope this helps.

Answer: i < 3u

We first distribute 3.

9x-7i > 3 (3x-7u)

9x-7i > 9x - 21u

Subtract 9x from both sides.

-7i > -21u.

Divide both sides by -7. Since -7 is negative so the inequality sign will change.

i < 3u.

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Answer:

5600 pounds

Step-by-step explanation:

first find the number of workers attending:

70%of 800 = 560

Next find the number of people attending:

560 x 2 = 1120

Now, Calculate the money raised:

5 X 1120 = 5600

Hope this helps

Good Luck

Answer:

Collinear points are points all in one line and non collinear points are points that are not on one line. Below points A, F and B are collinear and points G and H are non collinear. Coplanar points are points all in one plane and non coplanar points are points that are not in the same plane.

Step-by-step explanation:

hope this helps you :)

Answer:

$175

Step-by-step explanation:

Since it’s only one month you just add 150 by 25

Correct me if I am wrong

Answer:

66 cubic units

Step-by-step explanation:

For a prism, the volume is the area of the base multiplied by the height.

area of base = area of triangle = (1/2) * base * height (of the base)

volume = area of base * height of prism

volume = (1/2) * 4 * 3 * 11

volume = 66

Answer:

66 cubic units

Step-by-step explanation:

Answer:

center of rotation

Answer:

Center of rotation.

Step-by-step explanation:

The center of rotation is the point at which an image turns.

Point D is described as the center of rotation.

Answer: D. [tex]6^{30}[/tex]

Step-by-step explanation:

Using exponent rules an exponent to the power of a number will multiply by each other.

So the -4 and -9 will multiply.

The 6 in the numerator will now have a positive exponent of 36.

[tex]\frac{6^{36}}{6^6}[/tex]

Now we can divide and when we do so the exponents will subtract from each other.

So 36 - 6 = 30

And the base of 6 does not change.

The simplified form is [tex]6^{30}[/tex]

Answer: D.

Step-by-step explanation:

Using exponent rules an exponent to the power of a number will multiply by each other.

So the -4 and -9 will multiply.

The 6 in the numerator will now have a positive exponent of 36.

Now we can divide and when we do so the exponents will subtract from each other.

So 36 - 6 = 30

And the base of 6 does not change.

The simplified form is  

[tex]6^{30}[/tex]

Answer:

Amy will need to read 1 page each day.

Step-by-step explanation:

Total number of page of the magazine = 137 pages

Read pages of the magazine = 42 pages

Remaining pages to be read = 137 pages - 42 pages  = 95 pages

She spends 10 days reading the same number of pages each day until she finishes.

The number of pages read in each of the 10 days = 95 pages / 10 days

                                                           = 9.5 pages

In 10 days Amy reads 9.5 pages

In a day she reads ?

10 days -----------> 9.5 pages

1 day ----------------> ?

= 0.95 page

approximately 1 page per day

Thus, Amy will need to read 1 page each day.

Answer: -1/2x =20-5

Step-by-step explanation:

Hi, to answer this question we have to write an expression with the information given:

One half of the opposite of a number; a number is the variable (x), the opposite is -x, and one half of that number is equal to the number multiplied by 1/2. (-1/2x)

Is five less than twenty: the previous expression is equal to 20 minus 5:

Mathematically speaking:

-1/2x =20-5

Feel free to ask for more if needed or if you did not understand something.

Answer:

76

Step-by-step explanation:

arrange the data set from least to greatest:

16, 31, 55, 61, 92

Range = Highest value - Lowest value = answer

Range = 92 - 16 = 76