find two numbers whose sum is 114 and the difference is 58.
(written as an equation please)

Here is ur perfect answer

Answer:

p = [tex]\frac{2q}{2-q}[/tex]

Step-by-step explanation:

p - q = [tex]\frac{pq}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

2(p - q) = pq ← distribute parenthesis on left side

2p - 2q = pq ( subtract pq from both sides )

2p - pq - 2q = 0 ( add 2q to both sides )

2p - pq = 2q ← factor out p from each term on left side

p(2 - q) = 2q ← divide both sides by (2 - q)

p = [tex]\frac{2q}{2-q}[/tex]

The maximum dimension of the shelf is given by the space diagonal

length of the shelf.

A possible reason why the shelf hits the ceiling is because the ceiling is

less than or equal to 9 feet from the ground.

Reasons:

The maximum height of the shelf is given as follows;

The diagonal of one of the side = √(8² + 4²)

The diagonal of the completed shelve = √((√(8² + 4²))² + 1²) = 9

The maximum extension of the shelve = 9 feet

Given that the shelf touches the ceiling, we have, that maximum height of

the ceiling = 9 feet.

Therefore, the shelf touches the ceiling because, height from the floor to

the ceiling is lesser than equal to 9 feet.

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Answer:

Convert Gary's amount of free time per day (5 hours) to per week by multiplying it with 7 (as there are 7 days in a week). The operation gives an answer of 35 hours. The percent of his free time spent on the Internet (I) is,

                           I = (14 hours / 35 hours) x 100% = 40%

and that on playing video games (G) is,

                           G = (8 hours / 35 hours) x 100% = 22.86%

Step-by-step explanation:

Answer:

I think the answer to your question is

22

Answer:

12

Step-by-step explanation: 5.5/1.25

Answer:

Mabey B) if someone else says other wise follow them.

The probability that she will go to softball practice in a striped jersey and green shorts is 1/6.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Given:

Meredith has a green, white, or striped jersey.

So, probability that she will go to softball practice in a striped jersey and green shorts

= 1/3 x 1/3

= 1/6

Hence, probability that she will go to softball practice in a striped jersey and green shorts is 1/6.

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#SPJ2

Answer: x= 3

Step-by-step explanation:

Answer:

Domain (-3,-2,-1,0,1,2)

Range (-2,0,1,2,3)

This is not a function

Step-by-step explanation:

Domain (-3,-2,-1,0,1,2)

Range (-2,0,1,2,3)

one x-value with two y-values, (-1, 2) and (-1, -2)

not a function

Plotting the graph should be easy

left side are x-values

right side are y-values

Answer:

23 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

all the lines with slope 2 are parallel with each-other

all the lines with slope 1/3 are parallel with each-other

2.

all lines have positive slope so they go upward from left to right

3.

slope 2 is steeper then slope 1/3

4.

the distance between the parallel lines with slope (1/3) is greater for the lines with the slope 2

Answer:

18 000

Step-by-step explanation:

One kg is 1000 grams.  18 kg are 18 x 1000 = 18 0000 grams.

Answer:

99 degrees

Step-by-step explanation:

Angle 3 and 4 added together is 180 degrees since it is a straight line.

if you know angle 3 is 81 degrees, then angle 4=180-81=99

Answer:

99 is the measure of angle 4

Step-by-step explanation:

Two parralel lines cut by a transversal.

This is all you gotta remember

Alternate interior angles (4 and 6, 3 and 5) are congruent (equal)

Altenrate exterior angles (1 and 7, 2 and 8) are congruent (equal)

Corresponding angles (2 and 6, 3 and 7, 1 and 5, 4 and 8) are congruent (equal)

Same side interior angles (3 and 6, 4 and 5) are supplementary (equal to 180 if added up)

Same side exterior angles, (2 and 7, 1 and 8) are supplementary (Equal to 180 if added up)

Same line, opposite transversal (4 and 3, 5 and 6, 8 and 7, 1 and 2) are also supplementary.

The vertex of a parabola is the minimum or the maximum point of the parabola.

See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]

The equation of the parabola is given as:

[tex]\mathbf{y = ax^2 + bx}[/tex]

For the vertex of the parabola to be in the second quadrant, then the following must be true:

a > 0 and b > 0

Take for instance:

a = 2, and b = 1

So, we have:

[tex]\mathbf{y = 2x^2 + 1x}[/tex]

Rewrite as:

[tex]\mathbf{y = 2x^2 + x}[/tex]

Factor out x

[tex]\mathbf{y = x(2x + 1)}[/tex]

So, the line equation is:

[tex]\mathbf{y = 2x + 1}[/tex]

See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]

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Answer:

im pretty sure its 10.73, multiply 3.7 and 5.8 then divide 2

Answer:

13

Step-by-step explanation:

b2-12a

2(8)-12(1/4)

16-12/4

16-3

13

Answer:

[-1.8], [2.7], 3 2/5, [3.5]

thats the answer

Answer:

|-1.8| = 1

|2.7| = 2

|3.5| = 3

3 2/5 = 4

4.6 = 5

Step-by-step explanation:

Hope this helps!

Slope is "change in y over change in x",

[1] [tex]\frac{-1 - 1}{-3 - 2}[/tex] = [tex]\frac{-2}{-5}[/tex]=

     () [tex]\frac{2}{5}[/tex]

[2] [tex]\frac{4 - -5}{2 - 4}[/tex]=[tex]\frac{4 +5}{2 - 4}[/tex]

     () [tex]\frac{9}{-2}[/tex]

Have a nice day!

   I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer: The base is going to be 6 inches.

Step-by-step explanation:

So to find the area of a triangle we need to know the formula which is A= 1/2bh (A= one half times base times height) So, all we need to do is multiply the area by 2

32*2=72 Then to find the missing length, we divided the area by 12 which is 6.

Answer:

24

Step-by-step explanation:

First of all to check whether a number is divisible by 3 or not. We have to add the numbers and if the result is divisible by 3. Our number is divisible by 3 (no doubt). So 72 (7+2=9 is divisible by 3) ÷3 = 24

The exponential form of the logarithmic equation 4 = [tex]log_{0.7} (0.2401)[/tex] is

0.7⁴ = 0.2401

4 = [tex]log_{0.7} (0.2401)[/tex]

The exponential form of the logarithmic equation can be represented below:

Using logarithm rules,

logₐ b = x

Can be represented in exponential form as follows:

aˣ = b

Therefore,

4 = [tex]log_{0.7} (0.2401)[/tex]

using the logarithm rule described above can be represented in exponential form as follows:

0.7⁴ = 0.2401

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Answer:

0.7⁴ = 0.2401

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

All the sides are equal. So, it is an equilateral triangle. So, all angles are 60 each

6x + 12 = 60

6x = 60 - 12

6x = 48

x = 48/6

x = 8

Answer:

E, -1/5

Step-by-step explanation:

The slope of a line, given the coordinates, can be written as m = (y2 - y1) / (x2 - x1), where x and y are points in the coordinates.

Let's look at the coordinates. (-5, 1), the first value in the brackets is always the x-coordinate and the second value is always the y-coordinate. So -5 is x and 1 is y. But we have to points, so -5 is x1 and 1 is y1, and -20 is x2 and 4 is y2.

By substituting

m = (4 - 1) / (-20 - [-5])

m = 3 / (-20 + 5)

m = 3 / -15

m = -1 / 5

[tex]\text{Given that,}~ (x_1,y_1) = (-5,1)~~ \text{and}~~ (x_2, y_2) =(-20,4)\\\\\\\text{Slope,}~ m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 1}{-20 +5 } =-\dfrac 3{15} = - \dfrac 15[/tex]

Anneyonghaseyo!!

Radius = 10.5 m

Diameter = 10.5 × 2 = 21 m

Circumference = πd

= 22/7 × 21

= 66 m.

Cost of fencing 1 metre = ₹ 4

Cost of fencing 2 rounds = ?

2 rounds = 2 × circumference

= 2 × 66

= 132 m

Cost of fencing 2 rounds = 132 × 4

= ₹ 528.

________

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

y = c+r-7t

Step-by-step explanation:

7t- y+7t=c+r -7t

y = c+r-7t

Answer:

3/-3=-1

Step-by-step explanation:

any number divided by a negative number gives a negative answer

Answer:

i think it´s 75..

Step-by-step explanation:

Answer:

capable of working successfully; feasible.

or

Step-by-step explanation:

(of a plant, animal, or cell) capable of surviving or living successfully, especially under particular environmental conditions.

Answer:

A 4 kilo hopes this helps :)

Step-by-step explanation:

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

Number of hours that I used to work = 1 hour

My hourly pay =  $3t - 3

My total pay at the end of the day = Number of hours x hourly pay

My total pay at the end of the day = 1 (3t - 3)

My total pay at the end of the day = $ 3t - 3

Number of hours that Andrew used to work = 3t -5 hour

Andrew's hourly pay =  $2

Andrew's total pay at the end of the day = Number of hours x hourly pay

Andrew's total pay at the end of the day = 2 (3t - 5)

Andrew's total pay at the end of the day = $ 6t - 10

At the end of the day, I earned $2 more than Andrew

My total pay = Andrew's total pay + 2

3t - 3   =  6t - 10  +  2

6t  -  3t  =  -3 +10 - 2

3t  =  5

t  =  5/3

[tex]t = 1\frac{2}{3}[/tex]

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

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