Find the exact length of the third side.

Answer:

101.5

Step-by-step explanation:

Answer:

y = 7.25x + 3.50

Answer:

The answer is 7x-25

Step-by-step explanation:

(3x+5)+(4x-30)

=3x+4x+5-30

=7x-25

Answer:

(3x+4x) + (5-30)

Step-by-step explanation:

For this problem which is all addition and subtraction it is simply having you combine like terms or rather terms with same variables (3x and 4x).  You just need to be careful with the signs when you rewrite the problem so when you solve you get the correct answer.  Example if you were to solve this one you would combine your numbers with variable of x  and then the numbers without the variable:

(3x+4x) +(5-30)

7x + -25 or 7x-25

Complete question :

Mi-Young makes 24 cups of seafood kalguksu.This is 60% of the total kalguksu she makes. Total kalguksu made is?

Answer:

40 cups

Step-by-step explanation:

Given that :

24 cups = 60% of total made

Let total kalguksu made = x

Hence,

24 cups = 0.6x

24 = 0.6x

Divide both sides by 0.6

24/0.6 = x

x = 40

Hence, total seafood Kalguksu made = 40 cups

Treat

The question confuses me but treat starts with t, is an adjective, and rhymes with sweet

Answer:

16an - 19an + 9an + 8b + 12b

6an + 20b

Answer:

6an+20b I believe

Step-by-step explanation:

Answer:

1 and four

Step-by-step explanation:

Answer:

1 and 4

Step-by-step explanation:

A vertical angle is one of two opposite and equal angles formed by the intersection of two lines.

1 and 4

2 and 3

5 and 8

6 and 7

are all answers

Answer:

Step-by-step explanation:

y = 4 * x

you can replace y and x with any values, but it has to be correct. you can say 15 = 4 * 3, but that isn't correct. but you can say 16 = 4 *4

The value of the equation is y = 4x

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = 4x   be equation (1)

On simplifying the equation , we get

when x = 1

y = 4 ( 1 )

y = 4

when x = 2

y = 4 ( 2 )

y = 8

when x = 3

y = 4 ( 3 )

y = 12

when x = 4

y = 4 ( 4 )

y = 16

Therefore , the values of y are { 4 , 8 , 12 , 16 }

Hence , the equation is y = 4x

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Answer:

Step-by-step explanation:

Kindly share the exact question

Answer:

D. No; the graph fails the vertical line test

The correct option is D.  No,  the graph fails the vertical line test.

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function. It is done by visually examining the number of intersections of the curve with vertical lines.

In the given graph, the graph of a function intersects the y axis twice.

Any vertical line in the x y plane must intersect the graph of a function at most once.

Thus, the correct option is D.

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Answer:

h=√p^2+b^2

13 = √x^2+(x+7)^2 now you can solve

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + (x + 7)² = 13² ← expand and simplify left side

x² + x² + 14x + 49 = 169 ( subtract 169 from both sides )

2x² + 14x - 120 = 0 ( divide through by 2 )

x² + 7x - 60 = 0 ← in standard form

(x + 12)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x - 5 = 0 ⇒ x = 5

But x > 0 , thus x = 5

Answer:

D. x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Leg a = 8

Leg b = x

Hypotenuse c = 10

Step 2: Solve for x

Answer:

x=6

Step-by-step explanation:

According to Pythagoras theorem

x²+y²=z²

x²+8²=10²

x=√10²-8²

x=√100-64

x=√36

x=6

Answer:

D.

Step-by-step equation:

I don't know but i think this is the answer.

The roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.

A quadratic equation is a polynomial which has the highest degree equal to two. It is a second-degree equation of the form ax² + bx + c = 0, where a, b, are the coefficients, c is the constant term, and x is the variable.

For the given situation,

The equation is 9x^2 + 3x – 4 = 0

The roots of the equation can be found by the formula,

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

here, a = 9, b = 3 and c = -4

Substitute the above values,

⇒ [tex]x=\frac{-3+\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex] or  [tex]x=\frac{-3-\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex]

⇒ [tex]x=\frac{-3+\sqrt{9+144 } }{18}[/tex]          or  [tex]x=\frac{-3-\sqrt{9+144 } }{18}[/tex]

⇒ [tex]x=\frac{-3+\sqrt{153 } }{18}[/tex]             or  [tex]x=\frac{-3-\sqrt{153 } }{18}[/tex]

⇒ [tex]x=\frac{-3+12.36 }{18}[/tex]             or  [tex]x=\frac{-3-12.36 }{18}[/tex]

⇒ [tex]x=\frac{9.37}{18}[/tex]                    or  [tex]x=\frac{-15.37}{18}[/tex]

⇒ [tex]x=0.5205[/tex]                or  [tex]x=-0.8538[/tex]

Hence we can conclude that the roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.

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Answer:

-150

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

-6x + 150

x = 50

Step 2: Evaluate

Answer:

[tex]5,~ -10,~ 20,~ -40[/tex]

.

Step-by-step explanation:

Geometric sequence

[tex]Un = ar^{n - 1}[/tex]

.

We know that

a = 5 and r = -2

.

So

[tex]U_1 = 5(-2)^{1 - 1} = 5(-2)^0 = 5[/tex]

[tex]U_2 = 5(-2)^{2 - 1} = 5(-2)^1 = -10[/tex]

[tex]U_3 = 5(-2)^{3 - 1} = 5(-2)^2 = 20[/tex]

[tex]U_4 = 5(-2)^{4 - 1} = 5(-2)^3 = -40[/tex]

.

Happy to help :)

Answer:

the aswers is 5, -10, 20,-40

Answer:

1 : 3000

Step-by-step explanation:

Given that:

Scale measurement as following:

4 centimeters are equal to 120 meters.

To find:

The scale factor = ?

Solution:

First of all, let us learn about the definition of scale factor.

Scale factor means 1 unit on scale is equal to what length of actual measurement.

We are given that 4 cm on scale is equal to 120 meters of actual length.

We need to find nothing but how much 1 cm of scale is equal to actual length.

4 cm of scale = 120 meters or 12000 cm of actual length

Dividing by 4 on both sides, we get:

[tex]\frac{4}{4}[/tex] = 1 cm of scale = [tex]\frac{12000}{4}[/tex] = 3000 cm of actual length

Therefore, the scale factor is 1 : 3000

The scale factor is 1; 3000.

Given

The scale measures 4 centimeters equal to 120 meters.

The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.

Scale factor means 1 unit on the scale is equal to what length of actual measurement.

4 cm of scale = 120 meters or 12000 cm of actual length.

1 cm of scale = 4/4

Then,

[tex]= \dfrac{12000}{4}\\\\=3000[/tex]

Hence, the scale factor is 1; 3000.

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Answer:

y-intercept: 2

x-intercept: 5

Step-by-step explanation:

2x + 5y = 10

Let x = 0

2(0) + 5y = 10

y = 2

y-intercept: 2

Let y = 0:

2x + 5(0) = 10

2x = 10

x = 5

x-intercept = 5

Answer:

Solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]

Step-by-step explanation:

We need to solve the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] and find value of k

Solving:

[tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex]

Convert mixed fraction into improper fraction

[tex]\frac{2}{5}K-\frac{7}{2}K =15[/tex]

Taking LCM of 5 and 2 we get 10

[tex]\frac{2*2K-7*5K}{10} =15\\\frac{4K-35K}{10} =15\\\frac{-31K}{10} =15[/tex]

Divide both sides by -31/10

[tex]\frac{-31K}{10}*\frac{-10}{31}=15* \frac{-10}{31}\\K=\frac{-150}{31} \\K=-4\frac{26}{31}[/tex]

So, solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]

Answer:

See attached file.

Step-by-step explanation:

This can be graphed by plugging in two distinct x values and solving each for y.  That will give you two x,y coordinates to draw on the graph, which will let you trace the line defined by them.

You can get the points where the line intersects the axis by solving either variable for zero.  Try giving x a value of 2 or 0 to find those.

Answer:

The answer would be x= C+K/ 4

Answer: a - 0.3.

Step-by-step explanation;

Let a represent the number of miles that Alicia ran. The equation will be this: a - 0.3. You will subtract 0.3 from the number of miles that Alicia ran because her amount is 0.3 miles farther than what Henry ran.

Given:

Initial pay rate = $8.50 per hour

Increase in pay rate = $0.75 per year

To find:

The equation that represents the relationship between years on the job and pay for hour.

Solution:

Let x be the number of years and y be the pay rate after x years.

According to the question,

Increase in pay rate in 1 year = $0.75

Increase in pay rate in x year = $0.75x

So, variable pay rate = $0.75x

Initial pay rate = $8.50

So, the total pay rate is

Total pay rate = Initial pay rate + Variable pay rate

[tex]y=8.50+0.75x[/tex]

Therefore, the required equation is [tex]y=8.50+0.75x[/tex].

Answer:

1. $13.7

2. $6.3

Step-by-step explanation:

Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25

1. How much money did Bruce spend in all?

$7.50 + $3.95 + $2.25

=$13.7

2. How much change did he get back?

= $20 - $13.7

= $6.3

Answer: total cost of the estimated  items = $76

Step-by-step explanation:

 Step 1

Rounding up each item to the next dollar

Book 1 = $8.95 ≈ $9.00

Book 2 = $11.95≈ $12.00

Book 3 = $22.25≈$22.00

Book 4 =   $24.95≈$25.00

Calendar = $8.25 ≈$8.00

Step 2

The total estimated cost of items in Emma's shopping basket =$9.00+$12.00+$22.00+$25.00+$8.00

=$76  which did not exceed the amount of bookstore gift card of $80 sent by her grandmother.

Answer: 78$

Actual                            Estimate

$8.95 --------------------------$9.00

$11.95--------------------------$12.00

22.25--------------------------$23.00

$24.95------------------------$25.00

 $8.25--------------------------$9.00

Then add the estimate numbers to get $78

Answer:

er n4356463

Step-by-step explanation:

Answer: ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.

Answer:

3.333333

Step-by-step explanation:

thats what it is my guy