Write as a mixed number. 60/7

Answer:

nice

Step-by-step explanation:

if u have a question j comment this answer

Answer:

14. x=1, x=−9

x^2 + 8x + 20 = 29

x^2 + 8x + 4^2 = 9 + 4^2

(x + 4)^2 = 25

x + 4 = ± 5

15. x = -1/2, x = -3/2

4x^2+8x+3=0

x = -8 ± √8^2-4x4x3/2x4

x = -8 ± √64-4x4x3/2x4

x = -8 ± √64-16x3/2x4

x = -8 ± √64-48/2x4

x = -8 ± √16/2x4

x = -8 ± √4/2x4

x = -8 ± √4/8

x = -4/8

x = -1/2

x = -12/8

x = -3/2

16. -36

Use the values of  a,  b, and  c  to find the discriminant.

17. x=2, x=−2

3x^2 + 5 = 17

3x^2 + 5 - 17 = 0

3x^2 - 12 = 0  

x^2 - 4 = 0

(x−2)(x+2)=0

x=2  x=−2

18. x=12 , x=−12

x^2 = 144

x^2 - 144 = 0

(x−12)(x+12)=0

x=12,  x=−12

19. x=2√5+3, x=3−2√5  

x−3=2√5

x−3=−2√5

x−3−(−3)=2√ 5−(−3)

x−3−(−3)=−2√5−(−3)

x=2√ 5−(−3)

x=−2√5−(−3)

x=2√5+3

x=3-2√5

20. t = -√24-h/4+1, t = √24-h/4+1, h≤24

Word bank:

A) zeroes

B) axis of symmetry

C) y-value of the vertex

Step-by-step explanation:

I hope this helps!

The value of cos(2α + β) using trigonometric identities is; -1.0155

We are given;

α = sin⁻¹(4/5)

β = tan⁻¹(12/5)

Thus;

sin α = 4/5

tan β = 12/5

From trigonometric ratios, we can say that;

cos α = 3/5

sin β = 12/13

cos β = 5/13

We know from trigonometric identities that  cos (a + b) = cos a cos b - sin a sin b.

Thus;

cos(2α + β) = cos 2α cos β - sin 2α sin β

Thus;

cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))

= 0.4615 - 1.477

= -1.0155

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Answer:

The answer is D

Step-by-step explanation:

Answer:

D. The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.

Step-by-step explanation:

The equivalent expression for the given expression is \(x^{\frac{5}{3} }y^{\frac{1}{3} }\). Therefore, option B is the correct answer.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression ∛x⁵y.

expression is equivalent to ∛x⁵y is

\((x^5y)^{\frac{1}{3} }\)

= \(x^{\frac{5}{3} }y^{\frac{1}{3} }\)

The equivalent expression is \(x^{\frac{5}{3} }y^{\frac{1}{3} }\). Therefore, option B is the correct answer.

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The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B =  0.5 hours.

The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:

2A + 12B = 9 hours

On Thursday, we would have

5A + 3B = 9 hours

2A + 12B = 9  Eqn 1

5A + 3B = 9   Eqn 2

Multiply equation 2 by -4

2A + 12B = 9

-20A - 12B = -36

2A - 20A = 9 -36

-18A = -27

Divide both sides by -18

A = 1.5 hours

For B, substitute A in the first equation

2(1.5) + 12B = 9

3 + 12B = 9

12B = 9 - 3

12B = 6

Divide both sides by 12

B = 0.5

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Complete Question:

Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?

Answer:

Step-by-step explanation:

24

Answer:

slope is 2÷3 of giving line points

3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

Let's start by breaking down the information given:

- Three-fourths of the yard is covered with grass.

- One-fourth of the yard is used as a garden.

- The sprinkler could only water 1/5 of the yard.

To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.

Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.

The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.

To find the portion of the grass that died, we subtract the watered portion from the total grass area:

Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.

Simplifying, we get:

Portion of grass that died = 3/5.

Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

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The biker needs to travel 45 km more to complete his journey.

Given that, a biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road, we need to find how much he need to cover more,

Let the total distance of the road be x,
So,

2x/5 - 5 = 3x/8

2x/5 - 3x/8 = 5

Solving for x,

Multiply by 40 to both sides,

16x-15x = 200

x = 200

Therefore, the total distance of the road is 200 km.

Since, he travelled =

200 (2/5) = 80 km + 200 (3/8) = 75 km = 155 km

Therefore, he needs to travel 200-155 = 45 km more.

Hence, the biker needs to travel 45 km more to complete his journey.

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Answer: B

Step-by-step explanation: Hope this helps:)

Answer:

–x² + 12x + 5

Step-by-step explanation:

x² + 3x

–2x² + 9x + 5

The sum of the above expression can be obtained as follow:

.... x² + 3x

+ –2x² + 9x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

–x² + 12x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5

10y - 3z

10(8) - 3(8)

80 - 24

=56

\(\huge\textsf{Hey there!}\)

\(\huge\textsf{10y - 3z}\)

\(\huge\textsf{= 10(8) - 3(8)}\)

\(\huge\textsf{= 80 - 24}\)

\(\huge\textsf{= 56}\)

\(\huge\textsf{Therefore, your answer is: 56}\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

the slope 2/5 is written in the formula rise/run. So u can use this method to determine which line has a slope of 2/5.

Answer:

It's 10, it's just basically the same as 4x10 but turned around.

Step-by-step explanation:

Hello,

The quantity of the terms on the right has to be the same as the quantity of the terms on the left because it is an equation.

Let's write our equation according to the sentence above;

\(4.10=4x\)

Let's divide both equations by 4.

\(\frac{4.10}{4}=\frac{4x}{4}\)

Simplification can be made. In this case, the following result should be obtained;

\(10=x\)

The correct answer should be 10. Good luck!

Answer:

$55.65

Step-by-step explanation:

you would find 5% of 53 which is $2.65 and then add that to your original price so 53 + 2.65 = 55.65

Answer:

2.7t5r

Step-by-step explanation:

Answer:

2 + 2 = 4

y tho

Step-by-step explanation:

Answer:

x = -3

y = 5

Step-by-step explanation:

If polygon ABCDE ≅ KLMNO then:

Given:

Create two equations and rearrange to make 4y the subject:

\(\begin{aligned}\implies AB & = KL\\2y - 3x &= 6y + 4x + 1\\2y-3x-2y&=6y+4x+1-2y\\-3x&=4y+4x+1\\-3x-4x&=4y+4x+1-4x\\-7x&=4y+1\\-7x-1&=4y+1-1\\-7x-1&=4y\\4y&=-7x-1\end{aligned}\)

\(\begin{aligned}\implies CD &= MN\\4y + 3x &= 2y + 1\\4y+3x-2y&=2y+1-2y\\2y+3x&=1\\2y+3x-3x&=-3x+1\\2y&=-3x+1\\2 \cdot 2y&=2 \cdot -3x+2 \cdot 1\\4y&=-6x+2\end{aligned}\)

Substitute one equation into the other equation and solve for x:

\(\implies -6x+2=-7x-1\)

\(\implies -6x+2+7x=-7x-1+7x\)

\(\implies x+2=-1\)

\(\implies x+2-2=-1-2\)

\(\implies x=-3\)

Substitute the found value of x into one of the equations and solve for y:

\(\implies 4y=-6(-3)+2\)

\(\implies 4y=18+2\)

\(\implies 4y=20\)

\(\implies \dfrac{4y}{4}=\dfrac{20}{4}\)

\(\implies y=5\)

Answer: 2(x+3)(x+2)

Step-by-step explanation:

Answer:

y represents the money raised for charity

Step-by-step explanation:

Answer:

48 ft

Step-by-step explanation:

this is because the perimeter of the room is its sides so first you 9x2=18

then 14x 2= 28 and then 28 + 18 and you get 48 ft

Answer:

9. x = 12

10. x = 31

Step-by-step explanation:

9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.

7x - 20 = 4x + 16

Solve

3x - 20 = 16

3x = 36

x = 12

Therefore x is equal to 12

Check:

4(12) + 16

= 64

7(12) - 20

= 64

10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:

x + 2x + 25 + 2x = 180

Combine like terms

5x + 25 = 180

Solve

5x = 155

x = 31

Therefore, x = 31.

Check:

31 + 2(31) + 25 + 2(31) = 180

31 + 62 + 25 + 62 = 180

180 = 180

I hope this helps!!

- Kay :)

Answer:

 \(\dfrac{x^2+8x+8}{2x+4}\\\\\)

Step-by-step explanation:

Simplify:

        \(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)

Multiply the denominator and the numerator of the first term by 2,

                        \(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)

                       \(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)

The second inputs are -16 , -10 , -4, 2 ,8   an integer.

What in math is an integer?

     x                                      y = 6x - 4                                                      (x,y )                                                                                                                        

  -2                                           6 * -2 - 4                                         ( -2 , - 16)

______________________________________________________

   - 1                                          - 1 * 6 - 4                                         ( -1 , -10 )

________________________________________________________

   0                                           0 * 6 -4                                            ( 0 , -4)

________________________________________________________

     1                                          6 * 1 - 4                                             ( 1 , 2)

________________________________________________________

    2                                           6 * 2 - 4                                          ( 2 , 8 )

_______________________________________________________

the second inputs are -16 , -10 , -4, 2 ,8

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The complete question is -

Find five solutions of the equation. Select integer values for x, starting with - 2 and ending with 2. Complete the table of values below y =6x-4 (x,y) Complete the table to the right by typing an integer for the first input and an ordered pair for the second input. х y = 6x-4 (x,y) -2 - 1 0 1 2 Use two of the given points to graph the equation. Click to enlarge graph

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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By using the facts given, 60.5 cm is 0.605 m or 0.605 meters.

Given: Convert 60.5 cm to meters

And the facts are as follows:

1000 milli-meters (mm) - 1 meter (m)

100 centimeters (cm) - 1 meter (m)

10 decimeters (dm) - 1 meter (m)

1 deka-meter (dam) -10 meters (m)

1 hectometer (hm) - 100 meters (m)

1 kilometer (km) - 1000 meters (m)

What is the length?

Length is the measurement of something from one point to another point.

Length can also be the distance between two points.

The shortest length between two times is known as displacement.

There are different ways to measure the length between two points or objects.

The SI unit of length is metered (m)

Also, kilometers or miles are used to measure large distances.

How to convert from centimeters (cm) to meters (m)?

1 meter or 1 m is equivalent to 100 centimeters or 100 cm. So let us apply the unitary method.

100 cm = 1 m

So 1 cm = 1 / 100 m

Therefore, x cm will be x / 100 m

Let’s solve the problem.

Given 60.5 cm to show in meters

So 100 cm = 1 m

1 cm = 1 / 100 m

60.5 cm = 60.5 / 100 m

60.5 cm = 0.605 m

Hence by using the facts given 60.5 cm is 0.605 m or 0.605 meters.

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In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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The number of gummy bears Tanner and Mona has is 16 and 32 respectively.

Let

Number of gummy bears Tanner has = x

Number of gummy bears Mona has = 2x

2x - 23 = x - 7

combine like terms

2x - x = -7 + 23

x = 16

Hence,

Number of gummy bears Tanner has = x

= 16 gummy bears

Number of gummy bears Mona has = 2x

= 2 × 16

= 32 gummy bears

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