Combine Like Terms:
10z + 2z - 2

Answer: The area is approximately 314 ft^2

Step-by-step explanation:

Well if the diameter is 20  feet then the radius will be 10 because the radius is half the diameter, and to find the area of a circle, you use the formula

A= [tex]\pi r^{2}[/tex]  where A is the area and pi times the radius squared.

We will represent pi by 3.14  

A= 3.14* 10^2

A= 3.14 * 100

A = 314

Answer:34344e4365655.6

Step-by-step explanation:

Answer:

Jeff is faster

Step-by-step explanation:

kilometers are faster than meters

and 7 kilometers is 700 meters

so 100 meters isn't fast enough compared to Jeff's speed

Jeff is faster than Cameron as his average speed is more than that of Cameron's average speed.

The average speed of a body is the ratio of the distance covered by the body to the time it takes to cover that distance.

In the question, we are given that Jeff says that he can run 7 kilometers per hour while Cameron says that he can run 100 meters per minute.

We are asked to tell who is the faster among them.

We need to know that, 1 kilometer = 1000 meters, and 1 hour = 60 minutes.

Jeff's average speed = 7 km/hr. = 7km/1hr = (7*1000) m / (1*60) min

or, Jeff's average speed = 7000/60 meters per minute = 116.67 meters per minute.

We are given that Cameron's average speed is 100 meters per minute.

So, we can say that Jeff is faster than Cameron, as

Jeff's average speed > Cameron's average speed.

∴ Jeff is faster than Cameron as his average speed is more than that of Cameron's average speed.

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Answer:

Step-by-step explanation:

340-243 =97

97/6 = 16

16 weeks to lose 6 pounds per week.

Answer:

Let's think.

If we want the man to be in the best case scenario in which he loses the most pounds that his limit lets him, we should always make the man lose the highest he could go: 6 pounds.

This is just a simple multi step problem if you break it down.

If his goal is to get to 243 pounds, we firstly subtract 243 from 340 to see how much he needs to lose.

340 - 243 = 97

The man wants to lose 97 pounds.

Let's divide this number by 6 with remainder.

I'll let you think for a bit.

97 / 6 = 16 remainder 1.

This means that in 16 weeks, he needs to lose 6 pounds while on the 17th week, he needs to lose 1 pound.

I'm sorry if i misunderstood.

Good luck Mate :)

Don't forget to try everyday !

Answer:

3x-4

Step-by-step explanation:

Length = x

width =  2 units shorter than half the length x

width = x/2 - 2

For rectangle

perimeter = 2(length + width)

Perimeter for given rectangle =  2(length + width)

Perimeter for given rectangle =  2(x + x/2 - 2)  = 2x + 2x/2 -4

Perimeter for given rectangle =  2x+x -4 = 3x -4

Expression that represents the perimeter of the rectangle is 3x-4.

Answer:

-58

Step-by-step explanation:

If we have the expression [tex]5xy-3z[/tex] and we know the values of x, y, and z, we can substitute inside the equation to find it's value.

[tex]5\cdot-2\cdot4 - 3\cdot6\\\\-40 - 18\\\\-58[/tex]

Hope this helped!

Answer: -58

Step-by-step explanation:

Fill it in to get (5)(-2)(4) - (3)(6) which is -40 - 18 = -58

Answer:

y = 6.75x

Step-by-step explanation:

These 2 pieces of information can be used to create 2 points on the graph, where x is the number of hours and y is the amount he charges:

(5, 33.75) and (8, 54) are the 2 points

Use rise/run (y2 - y1) / (x2 - x1) to find the slope

(54 - 33.75) / (8 - 5)

20.25/3

= 6.75

Now, plug this and another point into y = mx + b to find b, the y intercept

54 = 6.75(8) + b

54 = 54 + b

0 = b

So, the equation is y = 6.75x

Answer: An expression that represents repeated multiplication of the same factor is called a power .

I hope this is the answer you were looking for if it's not I'm really sorry:(

Answer: 9/16

Step-by-step explanation:

Answer: 9/16

Step-by-step explanation: (1/4)^2 turns into 1/16. 5/8 - 1/16 so make them have the same denominator. 5/8 x 2 = 10/16 - 1/16 = 9/16

The experimental probability is 3/10 that Clare won if Charlie's numbers were 1 and 3

The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Charlie picked two numbers between 1 and 5

So the numbers should be 2, 3, and 4

There is the number of favorable outcomes is 3

To win the game, Clare must guess both his numbers in three tries

The experimental probability that Clare won if Charlie's numbers were 1 and 3 = P(E)

There are 10 trials given

There are total number of possible outcomes is 10

So the required experimental probability P(E) = favorable outcomes/total outcomes

⇒ P(E) = 3/10

Hence, the experimental probability is 3/10 that Clare won if Charlie's numbers were 1 and 3.

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Answer: 3/10

Step-by-step explanation:

Answer: 98 roses

Step-by-step explanation: 2:7 is like x:343

343 divided by 7 is 49, so that is what you multiply 2 by to get the roses. 49 x 2 = 98

Answer:

343÷7×2=98

98 roses

The ratio of flowers is 7 to 2. The answer is question 98

Answer:

17 km/h

Step-by-step explanation:

52:3=17.3≈17   km/hour

Answer:

17 km/hr

Step-by-step explanation:

Speed=

[tex] \frac{distance}{time} [/tex]

so, since the units are the same, kilometer per hour and hour, we simply divide

that's

[tex] \frac{52}{3} [/tex]

and that's 17.333 approximately 17km/hr

Answer:

35 miles per hour

Step-by-step explanation:

175 -140 = 35

35/1 = 35

Answer:

35

Step-by-step explanation:

Answer:

The relation between inputs and outputs is given by an equation called the equation of function. Since the outputs are also real values, hence, reasoning by analogy, you may use the arithmetical operation between functions (addition, subtraction, multiplication, division) to produce new functions.

Answer:

1 + n/2 or n/2 + 1

Answer:2/n

Explanation:

Quotient just means "divide", so this would just be equal to

2/n

Hope this helps!

Answer: d) y=4x+17

remember y=mx+b

good luck

Answer:

8 inches

Step-by-step explanation:

the volume is length x width x height

so the equation would be 8 x 8 x (height) = 512

8x8 is 64, and you divide 512 by 64 which is 8

Answer:

16

Step-by-step explanation:

Answer:

is therr more to that question

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

110ₓ = 40₅    --------- change all to base ten.

the system called binary

1x²+1x ¹+0x⁰ = 45¹+0*5⁰

x² + x + 0 = 20

x² + x – 20 = 0

solve x using Quadratic equation

       -1 ±  [tex]\sqrt{1^2 - 4 * 1 * (-20)}[/tex]

x =  ------------------------------------

                       2 * 1

x = -5;  x = 4

therefore, x = 4

Answer:

Step-by-step explanation:

12x + 14y = 20

-8x - 14y = -4

4x = 16

x = 4

6(4) + 7y = 10

24 + 7y = 10

7y = -14

y = -2

(4, -2)

the solution is B

Answer:

Amount of 8% vinegar = 216 mL

Amount of 13% vinegar = 54 mL

Step-by-step explanation:

First, of all, let x be the amount of 8% vinegar used

Since, the scientist needs 270 mL of vinegar, then;

Let 270 - x be the amount of 13% vinegar used

Now, we are told that she needs 270 mL of a 9% vinegar.

This means that;

8%x + 13%(270 - x) = 9%(270)

Simplifying this gives;

0.08x + 0.13(270 - x) = 0.09 × 270

Expanding the bracket gives;

0.08x + 35.1 - 0.13x = 24.3

0.13x - 0.08x = 35.1 - 24.3

0.05x = 10.8

x = 10.8/0.05

x = 216 mL

Thus, she will need to use 216 mL of the 8% vinegar.

Since 270 - x is the amount of 13% vinegar used , then;

the amount of 13% vinegar = 270 - 216 = 54 mL

The picture is the answer

The algebric expression of the given phrase will be x < 8 + 2/3.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given phrase,

A number less than eight and two thirds

Suppose that number is x then,

x < 8 + 2/3

Hence "The algebric expression of the given phrase will be x < 8 + 2/3".

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Answer:

Step-by-step explanation:

a). There are 8 points in the figure attached.

b). There are 9 lines in the given figure.

c). There are 5 planes in the figure attached.

d). Three collinear points are D,G and F.

e).  Four co-planar points are G, F, H and C.

f). Intersection of planes ABC and ABE is the common line AB.

g). Intersection of planes BCH and DEF is the common line EF.

h). Intersection of AD and DF is a point D.

Answer:

Step-by-step explanation:

(x₁, y₁) = (-2 , -5)   & (x₂ , y₂) = (-3 , 1)

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

          [tex]=(\frac{-2 + [-3]}{2} ,\frac{-5 + 1}{2})\\\\\\=(\frac{-5}{2} , \frac{-4}{2})\\\\=(-2.5, -2)[/tex]

Answer:

12

Step-by-step explanation:

Answer: j = 20/k-h

Step-by-step explanation: Multiply to remove your variable from your denominator.

I hope this helps you out.

Answer: No.

Step-by-step explanation:

We have 10 lumps of sugar, and we want to divide them into 3 cups, in such a way that there is an odd number of lumps in each cup.

This only can happen if we have 3 odd numbers such that the addition is equal to 10.

Now 10 is an even number, remember that even numbers can be written as:

2*k

where k is an integer number.

And odd numbers can be written as:

2*n + 1

where n is an integer.

Then we have 3 odd numbers, let's call them:

(2*n + 1), (2*k + 1) and (2*p + 1).

Now let's add them:

(2*n + 1) + (2*k + 1) + (2*p + 1).

2*(n + k + p) + 1 + 1+ 1

2*(n + k + p) + 2 + 1 =

2*(n + k + p + 1) + 1.

Now, the number n + k + p + 1 is an integer number, let's call it X, then we have that the addition of the 3 odd numbers is:

2*X + 1

This is an odd number

So for any 3 odd numbers that we add together, the result will always be an odd number.

Then is impossible to add 3 odd numbers and get 10 as the result (Again, 10 is an even number).

Then is not possible to have an odd number of lumps in each cup.

Answer:

b and d

Step-by-step explanation:

Answer:

Your answer would be p V q  and q->p. Hope I helped :D