Two numbers have an average of 18, and a difference of 10. Form two equations and solve them to find these
two numbers.

Answers

Answer 1
Answer: x = 23 and y = 13

Explanation:

let x and y be the two number.

Where:

(x + y)/2 = 18 => x + y = 18 x 2 = 36

and:

x - y = 10

Thus we get:

x + y = 36 (1)
x - y = 10 (2)

Add (1) and (2):
x + y + x - y = 36 + 10
2x = 46
x = 23

If x = 23

then x - y = 10
23 - y = 10
-y = -13
y = 13

Related Questions

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ᴍᴀᴛʜ ᴇxᴘᴇʀᴛꜱ ᴏɴʟʏ

Answers

Answer:

1.6

Step-by-step explanation:

an integer is defined as any positive or negative whole number.

1.6=16/10=8/5 . This is a fraction

0 is a whole number

8 is a whole number

-15 is a whole number

pls mark as brainliest. Thanks

HELP PLS: If f(x) = 2x – 3 and g(x) = 2x2 + 5x + 1, find:
a. f(4) + g(1)

Answers

Answer:

13

Step-by-step explanation:

f(x) = 2x - 3,

f(4) = 2(4) - 3,

f(4) = 5

g(x) = 2x^2 + 5x + 1,

g(1) = 2(1)^2 + 5(1) + 1,

g(1) = 2 + 5 + 1,

g(1) = 8

f(4) + g(1) =

5 + 8 =

13

Hope this helps :)

Answer:

Step-by-step explanation:

Which shape fits the description below?
A six-sided figure with three pairs of parallel sides.
X.
Y.
Z.
OA. The shape is nonexistent.
ОВ.
Y
OC. Z
D. X

Answers

The answer is Z.

A regular hexagon, which means a hexagon with equal sides and equal interior angles, is the shape that has three pairs of parallel sides.

Hiii! can someone please help me with my maths question

Form a quadratic equation and find the length of AB ​

Answers

Step-by-step explanation:

a^2 + b^2 = c^2

(x+2)^2 + 4x^2 = (3x+4)^2

(x+2)(x+2)+ 4x^2= (3x+4)(3x+4)

x^2 + 2x + 2x + 4 + 4x^2 = 9x^2 + 12x + 12 x + 16

5x^2 + 4x + 4 = 9x^2 + 24x + 16

-4x^2 - 20x - 12 = 0

now we can use the quadratic formula

(-b±√(b²-4ac))/(2a)

I can't type all this so

.....

x = -0.697224362 or -4.302775638

AB can't be negative so it's the first one

so it's equals to 1.302775638

arrange 7 people into group(s) such that a group must have at least 3 people?

Answers

7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.

A group of 3️⃣
&
A group of 4️⃣

4. Rosa says, “Integers are
whole numbers and their
opposites.” She's correct.
Find the opposites of these
integers: 12, 29
Their opposites are
-12 and -29.
torso panel
Their opposites are
1
and 1.
12 29
torso panel

Answers

Answer:

-12,-29

Step-by-step explanation:

if it is on a numbering . then write the inverse of the number given eg.1 = -1,2 = -2 etc.

What are the missing numbers on the two number lines?

Answers

Answer:

C is -14, 7, 14, 28

not sure what D is

Step-by-step explanation:

Find x. Simplify completely.
х
9
10

Answers

Answer:

10

Step-by-step explanation:

geometric mean theorem :

h = sqrt(pq)

p, q being the segments on the Hypotenuse of the right-angled triangle.

so, x = sqrt(9×10) = 3×sqrt(10)

what does it mean when a chance event has a probability of 4/4

Answers

When an event has a probability of 4/4, then it means that in 4 times the event might occur for 4 times.

Which that there is a 100% probability that the event may occur.

Answer:

When the probability of something happening is 4/4, it means that the probability of that thing happening is 1

When the probability of an event happening is 1, it means that that the event is going to happen and there is no chance of the event not happening.

Cindy multiple her age by 5, subtracted 12, and then divide by 3. The result was 16. How old is Cindy?

Answers

Let's give Cindy's age a variable.

Cindy's age = x

Cindy multiplies her age by 5

x(5)

Subtracted by 12

x(5) - 12

Divide by 3

(5x - 12)/3

The result was 16

(5x - 12)/3 = 16

Let's solve

Multiply both sides by 3

(5x - 12) = 48

Open brackets

5x - 12 = 48

Add 12 to both sides

5x = 60

Divide by 5 on both sides to isolate x

x = 12

Cindy is 12 years old.

simplify the problem thank you

Answers

Answer:

-5

Step-by-step explanation:

(-5)(-5)(-5)=-125

Given the expression:

[tex] \displaystyle \large{ \sqrt[3]{ - 125} }[/tex]

Definition:

[tex] \displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}[/tex]

First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.

[tex] \displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }[/tex]

Because if (-5)^2 = 25 then 25×(-5) again will be -125.

Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,

[tex] \displaystyle \large \boxed{ - 5}[/tex]

For the equation, x - 7 = 24, can a value be substituted for x to make the equation a true number sentence?

Answers

Answer:

yes, 31

Step-by-step explanation:

just switch the equation around:

24+ 7 = 31

and then back again:

31- 7= 24

Yes , the answer is 31
x - 7 = 24
x = 24 + 7
= 31

Wayne plans to replace the ventilating fand in the oldest greenhouse and needs to know its volume. The greenhouse is shaped of a half of a cylinder, Its diameter is 40 feet, Its length is 120 feet, using 3.14 for pi, how many cubic feet does the greenhouse enclose?​

Answers

Answer:

628.

Step-by-step explanation:

We need to calculate the radius of the cylinder :

   40/2 = 20 feet

We then will calculate the volume of the whole cylinder:

  [tex]V = \pi * r^{2} * h = 3.14 * 20^{2} * 120 = 1256[/tex] cubic feet.

However, Wayne greenhouse is just a half of a cylinder, so it's volume are:

  [tex]1256 / 2 = 628[/tex] cubic feet.

I'm vietanh and have a good day!

formula to calculate area of quadrilateral when Co ordinates are given please answer it anyone please...​

Answers

[tex]\sf \orange {Please \: attach \: the \: picture \: of \:}[/tex]

[tex]\sf \green {the \: Quadrilateral \: please.} \: [/tex]

You have to find the side lengths of the quadrilateral by using the coordinates. There isn’t really a formula for that. Once you have the side lengths, the formula for area will depend on the type of quadrilateral.

-13 = [tex]\frac{r}{9}[/tex] +8

what is r?

Answers

Answer:

[tex] - 13= \frac{r}{9} + 8 \\ \frac{r}{9} = - 13 - 8 \\ \frac{r}{9} = - 21 \\ r = 9 \times - 21 \\ r = - 189[/tex]

I hope I helped you^_^

Factor this polynomial completely.
x2 - 81

Answers

The first answer is right
(x - 9) (x + 9)
It’s me again lol

Which equation has the correct sign on the product?

A. (-11)9 = 99
B. (-12)(-12) = 144
C. 17 x 3 = -51
D. 25(-5) = 125

Answers

Answer:

B. (-12)(-12) = 144

Step-by-step explanation:

A. (-11)9 = 99  Negative * positive = negative

B. (-12)(-12) = 144  negative * negative = positive

C. 17 x 3 = -51  positive * positive = positive

D. 25(-5) = 125  positive* negative = negative

Answer:

B. (-12)(-12) = 144

Step-by-step explanation:

A rectangle has perimeter 66 cm and length 27 cm. What is its width?
(help pls it’s my hw)

Answers

Answer:

Step-by-step explanation:

A rectangle has the perimeter of 66cm, and since a rectangle has 2 lengths and 2 widths, we can tell that 2 widths = 66-27*2 = 12

so 1 width is half of 12 which is 6

Product of (×-3)(2ײ-5×+1)

Answers

Answer:

The answer is 2x³+15x-6x²-2.

Step-by-step explanation:

(x-3)(2x²-5x+1)

2x³+1-6x²+15x-3

= 2x³-2+15x-6x²

more algebra............

Answers

Answer:

C

Step-by-step explanation:

this is the answer since it involves a minus sign

HELP ASAP!!!

The line (y-1)=(2/3)(x+1) contains point (a,-3).

What is the value of a? Show
your work.

Answers

Answer:

-7

Step-by-step explanation:

The line (y-1)=(2/3)(x+1) contains point (a,-3)

=> (-3-1) = (⅔)(a+1)

-4 = (⅔)(a+1(

(a+1)= -4 ÷ ⅔

a + 1 = -4 × 3/2

a+ 1 = -6

a = -6-1

a = -7

The value of 'a' will be;

⇒ a = - 7.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of line is,

⇒ (y - 1) = (2/3) (x + 1)

And, The point on the line = (a, - 3)

Now,

Since, The point on the line = (a, - 3)

Hence, It satisfy the equation of line.

Substitute x = a and y = - 3, we get;

⇒ (y - 1) = (2/3) (x + 1)

⇒ (- 3 - 1) = (2/3) (a + 1)

⇒ - 4 × 3 = 2a + 2

⇒ - 12 - 2 = 2a

⇒ 2a = - 14

⇒ a = - 7

Thus, The value of a = - 7

Learn more about the substitution method visit:

https://brainly.com/question/26094713

#SPJ2

Estimate the value of the following to the tenths decimal place.

Answers

Answer:

-12.2

Step-by-step explanation:

-12.247448....

-12.2

plss mark me brainliesttt

What is the quotient of 8,595 ÷ 24?

Answers

its 3 hope this helpssss

358.125
That will be the answer

Where is the blue dot on the number line?
-4.5
-5
-5.5

Answers

I think the blue dot is on -4.9

Answer:

the answers is -4.9

Step-by-step explanation:

if you count from -4.5 to the blue dot it will be -4.9

Helpppppppppppppppppppp

Answers

Answer:

Step 1

Step-by-step explanation:

[tex]7 \times (8 - 3\times 2)[/tex]

Step 1:

[tex] = 7 \times (8 - 6)[/tex]

Step 2:

[tex]7 \times 2[/tex]

Step 3:

[tex]14[/tex]

find the cube of a+3​

Answers

Answer:

(a+3)^3

a^3 + b^3 + 3ab [identity : (a+b)^3 )]

a^3+ 3^3 + 3×a×3

a^3 +27+9a

answer : a^3+27+9a

hope it helps you

mrk me braniliest plz

Answer:

[tex] {a}^{3} +9 {a}^{2} +27a+27[/tex]

Step-by-step explanation:

[tex](a + 3 {)}^{3} [/tex]

[tex] {a}^{3} +3 {a}^{2} \times 3+3a \times {3}^{2} + {3}^{3} [/tex]

[tex] {a}^{3} +9 {a}^{2} +3a× {3}^{2} + {3}^{3} [/tex]

[tex] {a}^{3} +9 {a}^{2} +27a+ {3}^{2} [/tex]

[tex] {a}^{3} +9 {a}^{2} +27a+27[/tex]

Hope it is helpful...

4. Complete the following explanation to show that the sum of two rational numbers a
rational number.
Let a,b,c and d be integers. Let x and y be rational numbers. Consider the following
expression:
* = and y =
The above expressions represent the
If x + y = y + x
represents the
then, we can use the
to show that x +y = 3+. Using the rule for addition of
fractions to write an equivalent expression for x + y = 4+we obtain
The product of two integers results in an integer, so bd, ad and cb are all integers. Also.
since the sum of two integers results in an integer, ad + cb is an integer. Therefore,
xty is

Answers

Y +x=45 using integrated experience x +x = y

What is the constant of variation for y= 2/5x​

Answers

Answer:

Step-by-step explanation:

This equation is of the form y = kx, where k is the constant of variation. In our case, this is 2/5. One thing that separates a direct variation from simply a line (although a direct variation does in fact represent a line when graphed), is that the graph of a direct variation will ALWAYS go through the origin. That means that it will never have the "+ k" at the end of its equation and its y-intercept is always 0.

p- (9-(m + q)); use m=4, p=5, and q=3

Answers

Answer:

3

Step-by-step explanation:

p-(9-(m+q))

5-(9-(4+3))

=5-(9-7)

=5-2

=3

1.
Input
Output
-5
0
1
2
(2,0)
% (-5,314)
1 27
3,87
2
3
8
a. Is the relation a function? Explain

Answers

Yes it’s function because each element of input is related to exactly one element in output
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