Solve the system of equations below.

Let  x be the first integer , y be the second integer , and z be the third integer

x < y < z < 25

We know that

Median=13

Median=(x+y+z)/3

13=(x+y+z)/3

x+y+z=39------> equation 1

Range=10

The range is the difference between the largest number within the set and the smallest number in the set

So  range=z-x

z-x=10------> z=x+10-----> equation 2

to find the solution we will assume different values ​​of x (See the attached table)    

terms

x < y < z < 25

z=x+10

y=39-z-x

The solution can be

7,15,17

8,13,18

9,11,19    

hope it helps!

Answer:

x=8

Step-by-step explanation:

It is given that, William is using a 1.75-liter container to fill a 14-liter container of water. We need to find how many times will he need to fill the smaller container?

Let x times he fill the smaller container. It can be calculated by dividing the larger value by the smaller value.

[tex]x=\dfrac{14}{1.75}\\\\x=8[/tex]

So, 8 times he needs to fill the smaller container.

Answer:

That would be the fraction exactly between 2/7 and 3/7

which would be 2.5 / 7 or 5 / 14

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

you have to add everything

Answer:

Let the midpoint be M(x,y)

x=(-3+8)/2

x=5/2=2.5

y=(0-10)/2

y= -10/2= -5

M(2.5, -5)

Answer:

the correct answer is 0

Step-by-step explanation:

mark as me brainlist

Answer:

Answer is A. 0

Step-by-step explanation:

I hope you

Answer:

315 degrees

Step-by-step explanation:

360 degrees make a full circle, and since you've already turned 45 degrees, you will need 315 degrees more.

Answer:

Hey!

To turn it all the way to its starting position is the same as turning it 360 DEGREES...so your answer will be 315 DEGREES MORE!

Step-by-step explanation:

PROOF : 315 + 45 = 360 OR 360 - 45 = 315

HOPE THIS HELPS!

Answer:

B....…....…..…..…..……..…..…..…the answer is B

Step-by-step explanation:

Answer: 3 / 85

Step-by-step explanation:

Given the following :

Number of gift basket = 3

Nunber of entries = 85

Probability of winning a gift basket if you have one of the entries :

With one entry, one has a chance of winning one of 3 gift baskets

Hence, the required outcome of one entry = 3

Total possible outcomes = number of entries = 85

P(winning a gift basket with one entry) :

Required outcome / Total possible outcomes

= 3 / 85

Also, it could be calculated thus ;

Probability of one entry from a total of 85;

= 1/ 85.

And one entry has a Chance of winning one of 3 different gift baskets

Hence (1/85 × 3) = 3/85

Answer:

Answer is 3/85.

Step-by-step explanation:

There is no need for one, periodt.

Answer:

She is incorrect

Step-by-step explanation:

Given:

2x and -x

Required

Like term or not?

Like terms are determined by the term itself and not by their coefficients;

Take for instance;

[tex]x^2[/tex] and [tex]2x[/tex] are not like terms because a term has square while the other doesn't

Another instance;

[tex]-3x[/tex] and [tex]2x[/tex] are like terms because they both have the presence of just 1 x

In Marianna's case;

2x and -x are like terms;

Reason being that: -x can be rewritten as -1x; giving it a coefficient of -1

Answer:

  A = (1/2)Cr

Step-by-step explanation:

You're supposed to observe that the circle area decomposes into what is approximately* a parallelogram with height equal to the circle radius and base equal to half the circumference. The area is then ...

  A = bh

  A = (1/2)Cr

If you fill in the formula for C, you find this matches the formula for the area of a circle:

  A = (1/2)(2πr)(r) = πr²

_____

* In the limit, as the number of sectors approaches infinity, this is exactly a parallelogram.

Answer:

there should not be negative number in rational number

Answer:

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ x \;=\; {5.5} $ } }\\[/tex]

Step-by-step explanation:

[tex]4+y=9.5[/tex]

Let's simplify this equation.

To solve this equation, we must first subtract 4 from both sides of the equation.

[tex]y+4-4=9.5-4[/tex]

Let's see what we got.

[tex]y=5.5[/tex]

Now you got your answer!

Hope this helps!

The value of y is 5.5 .

Given,

4 + y = 9.5

Equation : 4 + y = 9.5

Let's simplify this equation

To solve this equation, we must first subtract 4 from both sides of the equation.

Resultant equation :

4 - 4 + y = 9.5 - 4

0 +y = 5.5

Thus the value of variable y = 5.5 .

Know more about algebra,

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Answer:

x + 6 and x - 2

Step-by-step explanation:

Given

x² + 4x - 12

Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 4)

The factors are + 6 and - 2, since

6 × - 2 = - 12 and 6 - 2 = + 4 , thus

x² + 4x - 12 = (x + 6)(x - 2) ← in factored form

Step-by-step explanation:

Two lines that are perpendicular to each other has -1 as the product of thir gradient.

Since the gradient of the line y = 3 - x is -1, the gradient of the other line must be 1.

So y = x + c.

When x = 7, y = 1. 1 = 7 + c, c = -6.

Hence the equation of the line is y = x - 6.

Answer:

The Sahara Desert is 258 °F warmer that Antarctica.

Step-by-step explanation:

Temperature at Antarctica = -123 °F

Temperature at the Sahara desert = 135 °F

The difference in temperature = 135 - (-123) = 135 + 123 = 258 °F

This means that the Sahara Desert is 258 °F warmer that Antarctica.

Answer:

258

Step-by-step explanation:

Answer:

[tex]4 \frac{14}{99}[/tex]

Step-by-step explanation:

First off - chill with the caps dude.

Let's convert this to a mixed number.

We know that any one digit number divided by 9 will get us a repeating decimal of the number we divided by 9. For example, [tex]5 \div 9[/tex] will be [tex]0.\overline{55}[/tex].

The same goes for two digit numbers when they are over 99. [tex]32\div 99 = 0.\overline{32}[/tex]

So this means that to make [tex]0.\overline{14}[/tex] a fraction, we put 14 over 99.

[tex]\frac{14}{99}[/tex]

4 as a fraction is just [tex]\frac{4}{1}[/tex] but since they want it in a mixed number, we can just put a 4 in the beginning of the fraction.

So we get  [tex]4 \frac{14}{99}[/tex].

Hope this helped!

Answer:

When a and b are both positive c will always be positive

Answer:

160

Step-by-step explanation:

We are given the equation:

k^5 * m

and asked to evaluate for k=2 and m=5. Therefore, we must substitute 2 for k and 5 for m.

(2)^5 * 5

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

Evaluate the exponent first.

—> (2)^5 = 2*2*2*2*2= 32

32 *5

Multiply 32 and 5.

160

The expression: k^5 * m when evaluate for k=2 and m=5 is equal to 160.

Answer:

16.5 Squared Inches

Step-by-step explanation:

A 8.5''x11'' paper would be 7.5 in by 10 in with 1 inch margins. 7.5 x 10=75 in^2.

A landscape paper is 11''x8.5'' which would be 9 in by 6.5 in with 2 inch margins. 9 x 6.5=58.5 in^2.

75 inches squared-58.5 inches squared is 16.5 inches squared.

Therefore, you would lose 16.5 squared inches of writing space.

Answer:

1) 31.1

2) 2.5

3) 1.6

4) 0.9

5) 5120

6) 1.7

7) 972

8) 0.02

Step-by-step explanation:

Step-by-step explanation:

angle of 45° is drawn.

I hope you got it.

Answer:

Luca's Dad gave Luca's Dog 4 treats

Step-by-step explanation:

Equation:

6 + x = 10

Step 1:

x = 10 - 6

Answer:

x = 4

Hope This Helps :)

Answer:

28

Step-by-step explanation:

Because the . Stands for multiplication so 14×2 is 28

Step-by-step explanation:

if14a^2b/7a^2b answer is 2

and if the sign is addition then the answer is21a^2b if subtraction answer is7a^2b

Answer:

5.024 × 10^8 tons /day

Step-by-step explanation:

This question has to deal with conversion

We are told in the question that:

On average, water flows over a particular water fall at a rate of 2.05 x 10^5 cubic feet per second.

Water flow rate = 2.05 × 10^5 ft³/s

From the question,

One cubic foot of water weighs 62.4 lb.

1 ft³ = 62.4 lb

1 ton = 2200 lb

We are to calculate the flow rate in tons per day

Hence,

1 ft³ = 62.4 lb

2.05 × 10^5 ft³ =

Cross Multiply

2.05 × 10^5 × 62.4

= 12792000lb

Hence the water flow rate = 12792000lb/s

From the question,

2200 lb = 1 ton

12792000 Ib =

Cross Multiply

12792000lb × 1 ton/2200 lb

= 5814.5454545 tons

Hence the water flow rate = 5814.5454545 tons/second

We want the flow rate to be in tons/day

1 ton / second = 86400 tons / day

5814.5454545 tons/second = x tons/ day

Cross Multiply

x = 5814.5454545 tons/second × 86400 tons /day/ 1 ton / second

= 502376727.27 tons/day

= 5.0237672727 × 10^8 tons/day

Approximately ≈ 5.024 × 10^8 tons /day

Therefore, the rate of water flow in tons of water per day is 5.024 × 10^8 tons of water /day

Answer:

X=-7/B but I'm not sure if more steps are required for full simplification.

Answer:

Its C

Step-by-step explanation:

The sign of the resultant value will depend upon added values and the sum will have the sign of the addend with the lesser absolute value so the correct option will be (C).

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.

In other words, the summation is the addition or subtraction of any two or more terms. As a result, we have a new result that may be large or little, depending on the quantity.

In given question

Let's suppose we add +5 + (-7) = -2 so here the sign is negative because the 5 is greater than the -7 so it is clear by this example that the sign of the addend with the lesser absolute value.

For more information about summation

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[tex]y=-|x|[/tex]

The [tex]a[/tex] value of an absolute value parent function deals with vertical stretches or compressions and it's relation with the x-axis.

Changing the [tex]a[/tex] value to its negative counterpart will reflect the graph over the x-axis (as shown in the picture).

Hope this helps.

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