plz help me this is a final!!!

Answer:

x = 10, y = 6 and z = 4

Step-by-step explanation:

From the question, we can form simultaneous equations of 3 variables.

Since the total tables is 20, then

x + y + z = 20

If fully occupied, x tables seating 4 will be occupied by 4x customers, y tables seating 6 will be occupied by 6y customers and z tables seating 8 will be occupied by 8z customers. Since we are told that if they occupy the tables with their seating, we will have a total of 108 customers. This gives the equation

4x + 6y + 8z = 108.

From th last statement "if only half ..." We can form the following equation:

(4x)/2 + (6y)/2 + (8z)/4 = 46.

From these we have the equations (after simplifying) to be:

x + y + z = 20 -------------- 1

2x + 3y + 4z = 54 ----------- 2

2x + 3y + 2z = 46 ----------- 3

In order to solve these equations, let's subtract eqn 3 from 2, we have:

2z = 8

z = 4

Putting z = 4 in eqn 1 and eqn 2

We have:

x + y = 16 ----------- 4

2x + 3y = 38 -------- 5

To solve these eqns, multiply eqn 4 by 2 and eqn 5 by 1.

4 x 2 : 2x + 2y = 32 ----------- 6

5 x 1 : 2x + 3y = 38 ------------ 7

Let's subtract eqn 6 from eqn 7, we have:

y = 6. Substituting y = 6 and z = 4 in eqn 1, we have x = 10.

Therefore, x = 10, y = 6 and z = 4

Step-by-step explanation:

(1 point)

No, there isn't a more efficient way to solve this system.

Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.

Answer:

Not sure what number sense is, but 3 is the answer.

Step-by-step explanation:

Answer:

the answer would be 3.

Step-by-step explanation:

5 times 3 is 15 plus 40 is 55. Hope this helps!!! Please let me know if i'm right!!!

Answer:

The answer is B

Step-by-step explanation:

If first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308

percentage, a relative value indicating hundredth parts of any quantity.

An insurance company offers a term life insurance policy with a renewable premium.

The first year premium is $900

The premiums increase 5.5% each year,

[tex]A=Pe^r^t[/tex]

5.5%=5.5/100 =0.055

[tex]A = 900(e)^0^.^0^5^5^\times^7[/tex]

[tex]A=900e^0^.^3^8^5[/tex]

A=900×1.46

A=$1308

Hence, if first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308

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Answer:

[tex]x = 9.4[/tex]

[tex]y = 17.7[/tex]

Step-by-step explanation:

Given: The figure

Required: Find x and y

The relationship between length x, length 15 and angle 32 is as follows:

[tex]tan \theta = \frac{opp}{adj}[/tex]

So, we have:

[tex]tan\ 32= \frac{x}{15}[/tex]

Cross multiply:

[tex]x =15*tan\ 32[/tex]

[tex]x = 15 * 0.6248693519[/tex]

[tex]x = 9.3730402785[/tex]

[tex]x = 9.4[/tex] --- approximated

Similarly:

The relationship between length y, length 15 and angle 32 is as follows:

[tex]cos \theta = \frac{adj}{hyp}[/tex]

So, we have:

[tex]cos\ 32= \frac{15}{y}[/tex]

Cross Multiply:

[tex]y * cos\ 32= 15[/tex]

Solve for y

[tex]y = \frac{15}{cos\ 32}[/tex]

[tex]y = \frac{15}{0.84804809615}[/tex]

[tex]y = 17.6876760506[/tex]

[tex]y = 17.7[/tex] --- approximated

Answer:

500 :)

Step-by-step explanation:

Answer:

The cost of one balloon is 4 dollars

the cost of one cake is 6 dollars

Step-by-step explanation:

The way I did it was by substituting different numbers and seeing if they equaled forty or 26.

my thought process:

1 balloon= 5

1 cake= 10

that doesnt work for 2 balloons and 3 cakes

1 balloon=5

1 cake=5

that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes

1 balloon=4

1 cake=7

I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)

Answer:

600

Step-by-step explanation:

Multiply both numbers by 12.

240

360

Answer:

y=x-5

Step-by-step explanation:

sale price (y) is equal to the original (x) minus five dollars

Answer:

y = x - 5

Step-by-step explanation:

I took the test on A P E X

Answer: X make the equation true

Step-by-step explanation:

Answer:

5 11/12 hours

Step-by-step explanation:

Make your common denominators 12. then when you add up you get 5 11/12.

Hope this helps and good luck :)

Answer: sin(x) / cos(x)

Step-by-step explanation: This is just a trigonometric identity you should have memorized :)

Answer:

127 degrees

Step-by-step explanation:

96+31+x=180

x=53

180-53=m<1

127m<1

Answer:

Erm

Step-by-step explanation:

I think not

Answer:

c= ( 2 x + 7 ) ( x − 5 )  / 6 − x

Step-by-step explanation:

Answer:

15.63

Step-by-step explanation:

172/11

15.636363...

Answer:

x = 0.8

Step-by-step explanation:

7 1/4x + x - 2 11/12x + 1 2/3x = 5 3/5

Combine like terms;

- convert the fractions to improper fractions

29/4x + x - 35/12x + 5/3x = 28/5

-Convert to a like denominator

87/12x + x - 35/12x + 20/12x = 28/5

-simplify

84/12x = 28/5

7x=28/5

Divide both sides by 7

x = 4/5

x = 0.8

Answer:

y=x+6

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

0

or

1

for each of its variables. In this case, the degree of variable

y

is

1

and the degree of variable

x

is

1

.

Answer:

Step-by-step explanation:

Isosceles Obtuse??????

Answer:

it says 0.0317 calendar year

Answer:

The output is 65 when x is -10.

Step-by-step explanation:

y=mx+b is the easiest form to understand visually what the slope and intercept is.

m is the slope and b is the y-intercept. Replace both of these variables respectively with their appropriate values. In this case, the slope (m) is -5 and y-intercept is 15.

Equation looks like this: y=-5x+15

What is the output when x is -10? Replace x with 10, and your output is the y value.

[tex]y=-5(-10)+15\\y=50+15\\y=65[/tex]

Answer:

D

Step-by-step explanation:

11 grams because the the most logical.

 Option C. 3 grams is the answer.

    Mass given,

For the balanced hanger diagram,

Mass on left arm = 2.(one triangle) + 6.(one square) + 3.(one circle)

Mass on right arm = 5.(one triangle) + 3.(one square) + 2.(one circle)

Equation for the balanced hanger,

2.(one triangle) + 6.(one square) + 3.(one circle) = 5.(one triangle) + 3.(one square) + 2.(one circle)

Now solve this equation,

(6 - 3).(one square) + (3 - 2).(one circle) = (5 - 2).(one triangle)

3.(one square) + 1.(one circle) = 3.(one triangle)

3.(2) + 1.(3) = 3.(one triangle)

6 + 3 = 3.(one triangle)

One triangle = 3 grams

    Therefore, Option (C) will be the correct option.

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Answer:

The account interest rate is 0.80%

Step-by-step explanation:

A=P(1+r/100)^10

1462=1350(1+r/100)^10{divide both sides by 1350}

1462/1350=(1+r/100)^10{find the 10th root of both sides}

1.00800=1+r/100{multiply through by 100}

100.800=100+r

r=100.800-100

r=0.80%

Answer:

In the photo (I hope this helps)

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Answer:

D.81

Step-by-step explanation:

happy chrismas every one

plz mark me brainliest

Answer:

We have the equation:

C(x) = 10 + 3.50*x

x represents the number of pizzas she buys, x only can take whole values, so we must have x ∈ Z

This means that this relation is discrete because there are only some values of x avaible, and thus there will be only some values of C(x) avaible.

She wants to buy at least 5 pizzas, and no more than 9, then the domain will be:

5 ≤ x ≤ 9

Or we could write the domain as:

{5, 6, 7, 8, 9}

This means that the possible costs will be:

C(5) = 10 + 3.50*5 = 27.50

C(6) = 10 + 3.50*6 = 31

C(7) = 10 + 3.50*7 = 34.5

C(8) = 10 + 3.50*8 = 38

C(9) = 10 + 3.50*9 = 41.50

Then the range is:

{27.50,  31, 34.5, 38, 41.50}

Answer:

5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)

Answer:

Step-by-step explanation:

.90-.35=.55

200/.55=364 bags i think

Elvira sells a total of 364 bags to earn a profit of $200 and this can be determined by using the unitary methods.

Given :

The following steps can be used to determine the total number of bags she sells to earn the profit of $200:

Step 1 - First find the total profit she earns to sell one bag.

= 0.90 - 0.35

= $0.55

Step 2 - Now, using the unitary method find the total number of bags she sells to earn a profit of $200 If she earns a profit of $0.55 to sell one bag.

[tex]=\dfrac{200}{0.55}[/tex]

= 363.63 [tex]\approx[/tex] 364 bags

She sells a total of 364 bags to earn a profit of $200.

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Answer:

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ค้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎­๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎­๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎­๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎­๎๎๎๎๎๎๎๎ํํํํํํํํํํํํ­ํํํํํํํํํํํํํํํํํํํํ­ํํํํํํํํํํํํํํํํ ค้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎\ค้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎

ค้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎­๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎­๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎­๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎­๎๎๎๎๎๎๎๎ํํํํํํํํํํํํ­ํํํํํํํํํํํํํํํํํํํํ­ํํํํํํํํํํํํํํํํ ค้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎\ค้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้้้้้้­้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎

Step-by-step explanation: