Given the figure below, find the values of x and z.
x =
(13x + 30)
z =
(12x + 50)

15 x 2 = 30

12 ÷ 3 = 4

Have a wonderful day!

- Audrey :)

Answer:

The spinning swings will have 10 more riders each hour.

Step-by-step explanation:

1. If 25 riders ride the race car every 30 mins, that would mean each hour 50 riders ride the race car.

2. If 20 riders ride the spinning swings every 20 mins, that would mean each hour 60 riders ride the spinning swings.

Lets say 4 hours have passed. We could say 25 × 8. I don't know if this would make sense but there would be 8 30 mins in 4 hours. If you multiply 25 × 8 you would get 200 riders riding the race cars in 4 hours.

Lets do the same thing with the spinning swings. There are 12 20 mins in 4 hours. So we could do could do 20 × 12. That would equal 240 riders riding the spinning swings in 4 hours.

So if the race cars got 200 riders in 4 hours, each hours they will have 50 riders. And If the spinning swings got 240 riders in 4 hours, each hour they got 60 riders. So that would mean the spinning swings got more riders each hour. They also got 10 more riders each hour. Hopefully I didn't confused you.

Answer:

The tank's capacity is 500 liters

Step-by-step explanation:

Proportions

The tank initially contains 50 liters of water. The tank's capacity is more than that, as we'll show later.

We know after 20 minutes of leaking from the tank, 40 liters still remain. This means 10 liters have leaked in 20 minutes. The loss of water occurs at a constant rate or 10/20=0.5 liters per minute.

After 30 more minutes, the tank has lost 0.5*30 = 15 more liters of water and now has 40 - 15 = 25 liters remaining.

We are told those 25 liters correspond to 5% of the tank's full capacity. Thus, the full capacity of the tank is:

[tex]\displaystyle \frac{25 }{ (5 / 100)} = 500~liters[/tex]

The tank's capacity is 500 liters

Answer: Maximum tickets she can buy is 52

Step-by-step explanation:

After she bought the fries and drinks she was left with $49.81. If she spent the rest of her money on rides/tickets for the rides then she bought 52 tickets to be exact. 0.95x52=49.40

Answer:

B

Step-by-step explanation:

12 is 1/4 of 48 so when you take $12 off $48 you take 1/4 of 25% away

Answer:

[tex]m=3[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (4, 0)

Point (7, 9)

Step 2: Find slope m

Answer:

522

Step-by-step explanation:

Answer:

80 cm

Step-by-step explanation:

The diagonals divide the rhombus into four congruent triangles.  The height of each triangle is 18/2 = 9, and the hypotenuse is 41.  Using Pythagorean theorem, the width of each triangle is:

c² = a² + b²

41² = 9² + x²

x = 40

Therefore, the longer diagonal is 2×40 = 80.

x (x + 4) = 5

x² + 4x = 5

x²+ x + (-5) = 0

(x+3)²+(t+3)²=9

x² + 6x + 9 + t² + 6t + 9 = 9

x² + t² + 6x + 6t + 18 + (-9) = 0

x² + t² + 6x + 6t + 9 = 0

x² + t² + 6(x + t) + 9 = 0

3/x + 4/2x = x - 1

6/2x + 4/2x = x - 1

10/2x = x - 1

10 = (x - 1) 2x

10 = 2x² - 2x

0 = 2x² + (-2x) + (-10)

Answer:

There are 2,000 grams left after 300 years.

Step-by-step explanation:

Giving the following information:

The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially.

First, we need to calculate the reduction of the substance each year:

Yearly reduction= 8,000/400= 20 grams per year

Now, for 300 years:

300 year reduction= 20*300= 6,000

There are 2,000 grams left after 300 years.

Answer:

15 minutes

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

haha 69= funny number

Answer:

Please check the explanation!

Step-by-step explanation:

Given the polynomial

[tex]\left(x+y\right)^5[/tex]

[tex]\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i[/tex]

[tex]a=x,\:\:b=y[/tex]

[tex]=\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i[/tex]

so expanding summation

[tex]=\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5[/tex]

solving

[tex]\frac{5!}{0!\left(5-0\right)!}x^5y^0[/tex]

[tex]=1\cdot \frac{5!}{0!\left(5-0\right)!}x^5[/tex]

[tex]=1\cdot \:1\cdot \:x^5[/tex]

[tex]=x^5[/tex]

also solving

[tex]=\frac{5!}{1!\left(5-1\right)!}x^4y[/tex]

[tex]=\frac{5}{1!}x^4y[/tex]

[tex]=\frac{5}{1!}x^4y[/tex]

[tex]=\frac{5x^4y}{1}[/tex]

[tex]=\frac{5x^4y}{1}[/tex]

[tex]=5x^4y[/tex]

similarly, the result of the remaining terms can be solved such as

[tex]\frac{5!}{2!\left(5-2\right)!}x^3y^2=10x^3y^2[/tex]

[tex]\frac{5!}{3!\left(5-3\right)!}x^2y^3=10x^2y^3[/tex]

[tex]\frac{5!}{4!\left(5-4\right)!}x^1y^4=5xy^4[/tex]

[tex]\frac{5!}{5!\left(5-5\right)!}x^0y^5=y^5[/tex]

so substituting all the solved results in the expression

[tex]=\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5[/tex]

[tex]=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]

Therefore,

[tex]\left(x\:+y\right)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]

Answer:

When it is in parentheses.

Step-by-step explanation:

In PEMDAS, first is always parentheses, no matter what operation.

If it is subtraction, do that first.

hope this helped!

Answer:

the 3rd one

Step-by-step explanation:

this is only true when it is in perenthisis because when you do PEDMAS you go in that order. P (perenthisis) beng first. so TECHNECLY perenthisis is first, but the first actual MATH PROBLEM being done is subtraction.

Answer:

-2/3 is slope and y-intercept is 5

To solve this system, we will use the graphing method.

Based on the graph shown below, we can conclude that this system has infinite solutions, because they are the same line.

Answer:

Step-by-step explanation:

Given equations

Rewriting the first equation

As we see it is same as the second equation. So same two lines, overlapping when graphed and the system has infinitely many solutions

Answer:

Please check the explanatio.

Step-by-step explanation:

Solving Part b)

We know that the slope-intercept form of the equation line is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Given the equation

[tex]4x+2y=16[/tex]

Re-writing the equation in the slope-intercept form

[tex]4x+2y=16[/tex]

[tex]y=-2x+8[/tex]

Here, m=-2 and b=8

Thus, the equation in the slope-intercept form will be:

[tex]y=-2x+8[/tex]

Solving Part c)

As you sold two pounds of cheddar cheese.

i.e. y=2

substituting y=2 in the slope-intercept form of the line equation

[tex]y=-2x+8[/tex]

[tex]2=-2x+8[/tex]

Subtract 8 from both sides

[tex]-2x+8-8=2-8[/tex]

[tex]-2x=-6[/tex]

Divide both sides by -2

[tex]\frac{-2x}{-2}=\frac{-6}{-2}[/tex]

[tex]x=3[/tex]

You sold 3 pounds of swiss cheese.

Solving Part d)

[tex]y=-2x+8[/tex]

putting x=2.5 in the equation

[tex]y=-2x+8[/tex]

[tex]2=-2\left(2.5\right)+8[/tex]

[tex]2=3[/tex]

The sides are not equal

FALSE

Thus, x=2.5 does not make any sense in the context of the problem.

Answer:

a - c

Step-by-step explanation:

if standard is 21 days then in incubator will hatch faster or at the same time but with high percentage of hatching a chick (btw hi from rhodes)

Answer:

hello your question is incomplete attached below is the complete question

answer : attached below

Step-by-step explanation:

A) The given output would be : 1 for 0, 5,10,15   also the output will be = 0 for every other value

attached below is the truth function of the Boolean truth table

B) attached below is the Boolean expression

Answer:

LCM of 8 and 4 = [tex]8[/tex]

LCM of 8 and 6  [tex]=24[/tex]

LCM of 8 and 10 = [tex]40[/tex]

Step-by-step explanation:

Least common multiple (LCM) of numbers is their smallest common multiple.

First find prime factorization of [tex]4,6,8,10[/tex]

[tex]4=2^2\\6=2(3)\\8=2^3\\10=2(5)[/tex]

LCM of 8 and 4 = [tex]2^3=8[/tex]

LCM of 8 and 6  [tex]=2^3(3)=8(3)=24[/tex]

LCM of 8 and 10 = [tex]2^3(5)=8(5)=40[/tex]

Answer: C) n+6

Step-by-step explanation:

You’re increasing so it means you want to add and you must have a serving 6+ and the only one that’s increasing is C

Answer: c is n+6

Step-by-step explanation:

Answer:

AB=-2

BC=1\2

CD=-3\4

AD=1\2

Step-by-step explanation:

The slope of AB is - 2,

Slope of BC is

Slope of CD is

Slope of AD is ,

ABCD is trapezoid because one pair of opposite sides is parallel.

Answer:

slope of AB: -2

slope of BC: 1/2

slope of CD: -3/4

slope of AD: 1/2

Quadrilateral ABCD is a trapezoid because there is one pair of parallel sides.

Step-by-step explanation:

I solved for the slopes using slope formula. Also, I determined that the quadrilateral was a trapezoid since there was at least one pair of parallel sides. I'm sorry that I don't have a k12 account, but I hope this helps.

Answer:

b) 18

c) 80.78

Step-by-step explanation:

While we can solve this equation with separation of variables, it isn't necessary.  The coffee is originally at 95°, and the ambient temperature is 18°.  The top right graph is the only one that shows this trend.

As t approaches infinity, y approaches the ambient temperature of 18°.

yₙ₊₁ = yₙ + Δt F(tₙ, yₙ)

yₙ₊₁ = yₙ + 2 (-0.02 (yₙ − 18))

yₙ₊₁ = yₙ − 0.04 (yₙ − 18)

yₙ₊₁ = 0.96 yₙ + 0.72

When n=0:

y₁ = 0.96 y₀ + 0.72

y₁ = 0.96 (95) + 0.72

y₁ = 91.92

When n=1:

y₂ = 0.96 y₁ + 0.72

y₂ = 0.96 (91.92) + 0.72

y₂ = 88.96

When n=2:

y₃ = 0.96 y₂ + 0.72

y₃ = 0.96 (88.96) + 0.72

y₃ = 86.12

When n=3:

y₄ = 0.96 y₃ + 0.72

y₄ = 0.96 (86.12) + 0.72

y₄ = 83.40

When n=4:

y₅ = 0.96 y₄ + 0.72

y₅ = 0.96 (83.40) + 0.72

y₅ = 80.78

Answer:

no

Step-by-step explanation:

nsjdjfhfjskskdknxiwiwfbrbbewiisaksndbbfeueiaooand

Answer:

Bruh the answer is there so uh yea

Step-by-step explanation:bruh sorry for being a little rude.

Answer:

Thx have a great day :)

Step-by-step explanation:

yoink.

Thank you very much, kind sir/ma'am.

Have a nice day.

Answer: 2x+43

Step-by-step explanation:

Answer:

107.5 degrees and 72.5 degrees (Don't forget the degrees symbol)

Please mark me Brainliest if I'm right :D

Answer:

2.75 hours

Step-by-step explanation:

3.5-0.75 which is 2.75.

So 2.75 hours.

Hope this helps :D