the sum of two numbers 94. their diffirence is 12

Answers

Answer 1

Lets denote the numbers x and y:

The sum of two numbers 94 → x + y = 94

Their difference is 12 → x - y = 12

We have:

x + y = 94

x - y = 12

----------------  Add both equations

2x = 106

x = 106/2

x = 53

Using first equation:

x + y = 94

53 + y = 94

y = 94 - 53

y = 41

A/ The numbers are 53 and 41.

Answer 2
Pretty easy my friend, consider the two numbers we want x and y

x + y = 94
x - y = 12

Now you solve the system

x = 94 - y
94 - y - y = 12

x = 94 - y
94 - 2y = 12

x = 94 - y
- 2y = 12 - 94

x = 94 - y
- 2y = - 82

x = 94 - y
2y = 82

x = 94 - y
y = 41

x = 94 - 41
y = 41

x = 53
y = 41

Related Questions

Suppose milk is selling for 87.5¢ per litre. How many litres can you buy with $20?

Answers

3 becuse you put the numbers wrong

The liters of milk  litres you can buy with $20 is mathematically given as

v=22.8571L

How many litres can you buy with $20?

Question Parameter(s):

Suppose milk is selling for 87.5¢ per litre

Generally, the equation for the Volume of milk  is mathematically given as

1=87.5c

v=20,00c

Therefore

v=2,000/87.5

v=22.8571

In conclusion, volume of milk

v=22.8571L

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some birds migrate 20,000 miles. if 1 mile equals 1.6 km, calculate the distance these birds fly in km

Answers

If 1 mile equals 1.6 km, the distance these birds fly is 32000km.

Here we have,

Total miles = 20,000

Given, 1 mile = 1.6 kilometer

Thus, total km travel = 20000 x 1.6

Total km travel = 32000 km

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multiple of the unit of measurement.

Thus, some bird species travel 20,000 miles. These birds travel 32000 kilometers if a mile is equal to 1.6 kilometers.

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Which equation represents the line that passes through the points (4, 6) and (−2, −1)?

Answers

Find the slope first by using rise/run

[tex]m=\frac{6-(-1)}{4-(-2)}\\m=\frac{6+1}{4+2}\\m=\frac{7}{6}[/tex]

[tex]y=mx+b\\y=\frac{7}{6}x+b[/tex]

We need to find the y-intercept. Substituting one of given ordered pairs. I will use (-2,-1).

Substitute x = -2 and y = -1 in the equation.

[tex]-1=\frac{7}{6}(-2)+b\\-1=\frac{7}{-3}+b\\-1=-\frac{7}{3}+b\\-1+\frac{7}{3}=b\\b=\frac{4}{3}[/tex]

Thus the y-intercept is 4/3.

From y = mx+b, the equation is.

[tex]y=\frac{7}{6}x+\frac{4}{3}[/tex]

Graph a line that contains the point (-5,-3) and has a slope of -2

Answers

Given:

The line contains the point (-5,-3) and has a slope of -2.

To find:

The graph of the line.

Solution:

The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-(-3)=-2(x-(-5))[/tex]

[tex]y+3=-2(x+5)[/tex]

[tex]y+3=-2x-10[/tex]

Subtracting 3 from both sides, we get

[tex]y=-2x-10-3[/tex]

[tex]y=-2x-13[/tex]

So, the equation of line is [tex]y=-2x-13[/tex].

Putting x=0, we get

[tex]y=-2(0)-13[/tex]

[tex]y=0-13[/tex]

[tex]y=-13[/tex]

It means, the line also passes through (0,-13).

Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.

Therefore, the graph of given line is shown below.

Which of the following are examples of irrational numbers? Select all that apply.
A. [tex]\sqrt{4} +\sqrt{16}[/tex]
B. [tex]\sqrt{5} + \sqrt{36\\}[/tex]
C. [tex]\sqrt{9} +\sqrt{24}[/tex]
D. [tex]2*\sqrt{4}[/tex]
E. [tex]\sqrt{49} *\sqrt{81}[/tex]
F. [tex]3\sqrt{12\\}[/tex]

Answers

The numbers √5 + √36, √9 + √24 and 3√12 are irrational numbers. (Correct choices: B, C, F)

Which numbers are irrational numbers?

Irrational numbers are a subset of real numbers that are not rational numbers, rational numbers comprises integers and non-integers. In this case, square roots are one of the most known cases of irrational numbers.   Now we proceed to check if each choice represents indeed an irrational number by algebraic handling:

Case A

√4 + √16 = 2 + 4 = 6

Case B

√5 + √36 = √5 + 6

Case C

√9 + √24 = 3 + √(6 × 4) = 3 + 2√6

Case D

2√4 = 2 × 2 = 4

Case E

√49 × √81 = 7 × 9 = 63

Case F

3√12 = 3√(3 × 4) = 6√3

The numbers √5 + √36, √9 + √24 and 3√12 are irrational numbers. (Correct choices: B, C, F)

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Hi will you help me I can’t figure this out?

Answers

Answer: the first option

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-20-------------------------------------0-------------------------------------20

moving right on ANY number line increases the number value. My example above also shows you that if you move left your number value will DECREASE.

HOPE THIS HELPS <3333

-Silver

Find the value of x. Show all work. Round your answer to the nearest tenth.
25
x
23
Please help

Answers

Answer:

            8.9

Step-by-step explanation:

[tex]\tan(23^o)=\dfrac{25}x\\\\\ x\tan(23^o)=25\\\\x=\dfrac{25}{\tan(23^o)}\\\\x\approx 58.9[/tex]

(pre-calc) Use Limit Laws to determine the limit of a(n). It is not -∞, so what answer is it and why?

Answers

The limit of the function as the variable n tends to minus infinity is -1. Option C is correct

Limit of a function

Given the limit of a function expressed according to the equation;

a(n) = 6n²-n-3n³/3n³+n-1

The value of the function if n tends to minus infinity is expressed as show:

a(n) = 6n²-n-3n³/3n³+n-1

Divide both all the terms by

a(n) = 6n²/n³-n/n³-3n³/n³/3n³/n³+n/n³-1/n³

a(n) = 6/n-1/n²-3/(3+1/n²-1/n³)

a(n) = 6/-∞ - 1/(-∞)²-3/(3+1/(-∞)²-1/(-∞)³)

a(n) = -3/3

a(n) = -1

Hence the limit of the function as the variable n tends to minus infinity is -1

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Help plz.......... thx :)

Answers

Answer:

2 . 2 . 2 . 2 . 2 . 2,  4 . 16, 8 . 8

Step-by-step explanation:

2 times itself 6 times

read it again it says all that applies

Answer:

It is the one with the purple outline, and then the rest in that column

I need help ASAP!!!!

Answers

x = 3
B= 84
A = 62
C= 34

A bank security camera is mounted on a wall. The camera is set at an angle of depression of 19 degrees so that it is focused on a point on the floor near the main entrance door . The camera's horizontal distance of 26 feet from the the focus point on the floor.How high above the floor is the camera Round your answer to the nearest hundredth.

Answers

Answer:

8.95feet

Step-by-step explanation:

The set up is a right angled triangle where;

The camera's horizontal distance from the focus point = 26feet = Adjacent;

The height of the camera above the floor = Opposite = x

Angle of elevation = 19°

According to TOA in trig identity;

Tan theta = opp/adj

Tan 19 = x/26

x = 26tan 19

x = 26(0.3443)

X = 8.95feet

Hence the camera is placed at a height of 8.95feet above the floor

HELPPPP!!!

Use the diagram to answer the question

Answers

Angle 4 and Angle 5 is the correct answer I hope this helps!

.William sold half of his comic book collection and then purchased 10 more . He now has 24 comic books period how many books did William begin with?

Answers

Answer:

28 books

Step-by-step explanation:

Let x represent the number of books .William owned before anything happens

x/2 + 10 = 24

2(x/2 + 10) = 2(24)

x + 20 = 48

x = 48 - 20

x = 28

Answer:

28

Step-by-step explanation

subtract 10 by 24.multiply 14 by 2 and there's your answer hope this helps

15 total kids were at the park. 6 of them were girls. What % of the kids were girls?

Answers

Answer:

40%

Step-by-step explanation:

6/15 = 0.4

0.4 * 100 = 40%

Answer:

40%

Step-by-step explanation:

Since there are 15 total kids and 6 of them are girls, we can write this question as the fraction 6/15.

6/15 is 0.4 and to get the percent you would multiply by 100%.

Therefore the answer is 40%

who else is bummed that the exam has 50 questions on edge

Answers

Answer: ME

Step-by-step explanation:

[20+(2.5x3)]-27 please help lol

Answers

Answer:

0.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define Expression

[20 + (2.5 × 3)] - 27

Step 2: Evaluate

[Brackets - Parenthesis] Multiply:          [20 + 7.5] - 27[Brackets] Add:                                       27.5 - 27Subtract:                                                  0.5

ASAP PLZ HELP WILL MARK AS BRAINLSIT

Answers

mark me brainlist first queen

Answer:

9

Step-by-step explanation:

18/2=9

I need help with this whole page (if you can’t see zoom in)

Answers

Answer:

number

2.A

3.1/1

4.A

5.up right side ididnt see

6.5 right

7.place the positive for and walk in to the left side and count eleven start to 4

. A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party. The table
below shows the cost of hosting a private party for a certain number of guests.
Total Cost of Hosting a Private Party
Number of Guests Total Cost
(dollars)
10
250
20
400
30
550
40
700
50
850
How much does the restaurant charge for a private party with 45 guests?

Answers

Answer:

42

Step-by-step explanation:

i said so

The restaurant charge 775 $ in total for a private party with 45 guests.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the total number of guest is x;

and, the Total Cost of Hosting a Private Party be y;

here it is given that :

A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party then, this van be shown in linear equation as :

y = 15x + 100

Now, for 45 number of guests that is x = 45, then y will be :

y = 15x + 100

y = 15 x 45 + 100

y = 675 + 100

y = 775 $

Thus, the restaurant charge 775 $ in total for a private party with 45 guests.

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Draw a grid using a scale of 0 to 10 on the ×-axis and 0 to 5000 (with interval of 500) on the y-axis and plot a graph based on ur table​

Answers

The graph based on table is drawn in picture.

What is grid?

A grid is basically a structure which is made up of several straight lines which intersect each other and form number of squares or boxes.

What is grid graph?

A grid graph is the 2-dimentional graph with x and y axis which is embedded in Euclidean space .In the graph theory, The grid graph is also known as the 2-dimentional lattice graph (2D lattice) , mesh graph and rectangular grid graph. Sometimes, the graphs having the grid structure are also called as cartesian graphs because they have build on the cartesian coordinates system having x and y axis.

In the question given,

scale on x-axis is 0 to 10 with the interval of 1

thus, points on x axis are 0,1, 2, 3, ----,10

scale on y-axis is 0 to 5000 with the interval of 500

thus, points on y axis are 0, 500, 1000, 1500, ----- , 5000

The grid graph is shown in picture .

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hich of the relations given by the following sets of ordered pairs is not a function? {(5,2),(4,2),(3,2),(2,2),(1,2)} {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)} {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}

Answers

{(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function .

• In mathematics, ordered pair is a pair of numbers which are written in a specific order. They are generally written in (x,y) form. For example (3,5) is a ordered pair.

Function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have same value of x coordinate.

Case 1 : {(5,2),(4,2),(3,2),(2,2),(1,2)}

No two ordered pair have the same value of x coordinate. So it is a function.

Case 2 : {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)}

Two ordered pair have the same value of x coordinate (3,2) and (3,5). So, it can not be considered as a function.

Case 3 : {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)}

No two ordered pair have the same value of x coordinate. So it is a function.

Case 4 : {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}

No two ordered pair have the same value of x coordinate. So it is a function.

Therefore, {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function.

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Does 2/7 =11/37 because idk

Answers

Answer:

no. i do not think so.

Step-by-step explanation:

Answer: If you were to do the butterfly trick 7x11=77 and 2x37=74 so no they are not equal

Step-by-step explanation:

44 - (2c + 3) = 4(c + 5) + c
solve the equation

Answers

Equation: 44 - (2c + 3) = 4(c + 5) +c

Step 1: 44 - 2c - 3 = 4(c + 5) + c

When there is a in front of an expression in parentheses, change the sign of each term in the expression

Step 2: 44 - 2c - 3 = 4c + 20 + c

Distribute through the parentheses

Step 3: 41 - 2c = 4c + 20 + c

Subract the numbers

Step 4: 41 - 2c = 5c + 20

Collect the terms

Step 5: 41 - 2c - 5c = 20

Move variable to the left-hand side and change its sign

Step 6: -2c - 5c = 20 - 41

Move constant to the right-hand side and change its sign

Step 7: -7c = 20 - 41

Collect the terms

Step 8: -7c = -21

Calculate the difference

Lastly: Divide both sides of the equation by -7

c=3

Calculating Object's Height A boulder sitting on the edge of a cliff has 15,500 J of gravitational potential energy and a mass of 500 kg. Determine the height above Earth's surface that the boulder rests. P.E. = mass × 9.8 (gravity) × height​

Answers

The height above Earth's surface that the boulder rests is 3.16m.

What is Gravitational acceleration ?

Gravitational acceleration can be defined as the acceleration of any object when the object is in free fall. or we can say that the gravitational acceleration is the quantity which describes the acceleration of free falling object within vacuum. It is denoted by g .

What is Potential Energy ?

Potential energy is the stored energy of the object which is generally based on the relative position of the various parts of the object. It is also known as gravitational energy.

Formula of potential energy :

PE = mgh

where, PE = gravitational energy / potential energy

           m = mass of object

           g = gravitational acceleration

           h = vertical height  of object

According to question given:

PE = 15500J

m = 500kg

g = 9.8

As PE = mgh

therefore, h = PE / mg

i.e. h = 15500 / (500)(9.8)

     h = 3.16m

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This is slope pt 2 pls help there is 3 more

Answers

Answer:

Slope is -7/4

M=-7/4, hope that helps

Easy math problems!!!!!

Answers

Answer:

We can use the Pythagorean theorem to solve this:

The Pythagorean theorem states that the hypotenuse of a triangle (the longest side), squared is equal to the sum of the other 2 sides of the triangle, squared. It can be expressed as so:

c^2=a^2+b^2 where c represents the hypotenuse; a and b represent the other 2 sides.

Now that we have an equation we can solve:

c^2=8^2+8^2

c^2=64+64

c^2=128

Since there is no perfect square for 128 we need to put in in simplest radical form

c=√128

Find a number that has a perfect square and multiplies by another number to equal 128

c=√64 x 2

This can be rewritten as so:

c=√64√2

Now for the last step find another perfect square for 64 and have it outside the square like so:

c=8√2

There is no perfect square for 8 so this is in simplest radical form

Step-by-step explanation:

Answer:

11

Step-by-step explanation:


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

Answers

x-y=8 is the answer to 8+y=x

Which expression is equivalent to (3x−4y5)−2?

−9x8y10
x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity
negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power
1 over quantity 9 times x raised to the eighth power times y raised to the tenth power end quantity

Answers

The expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power". option B

Exponential

-9x^8 / y^10

Check all that applies:

x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity

x^8 / (9×y)^10

= x^8 / 9y^10

No

negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power

-(9×x)^8/y^10

= -9x^8 / y^10

Yes

1 over quantity 9 times x raised to the eighth power times y raised to the tenth power end quantity

1/(9×x)^8 × y^10

= 1 / (9x^8) × (y^10)

No

Therefore, the expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power".

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A student answered 86 problems on a test correctly and receives a grade at 98% how many problems were only test if all the problems were worth the same number of points( round to the nearest whole number) ​

Answers

Answer:

88 questions

Step-by-step explanation:

86/0.98 = 87.755

pls mark brainliest :D

Which matrix represents the system of equations?

3x + 5y = −9

x + 5y = 16

Answers

I belive the answer could be based on my theory it is 4
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