Simply the answer and write it as a mixed number.

Answer:

subtract 6 from both sides.

-5c = -10

then divide both sides by -5 (negative divided by a negative is a positive)

c = 2

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

The given equation is : -5c + 6 = -4

The first step olis to take (+6) in right side,

[tex] - 5c = - 4 - 6[/tex]

now, another step is add ( -4 and -6)

[tex] - 5c = - 10[/tex]

Now, divide -10 by -5.

[tex]c = \frac{ - 10}{ - 5} [/tex]

Therefore, c= 2.

Hope it helps..

Answer:

x = 7

Step-by-step explanation:

To make L II M, the two angles ([2x - 3] & [x + 4]) have to be the same.

2x - 3 = x + 4 is the equation.

Simplify, and you will get x = 7

Hope this helps! Please tell me if I did anything wrong, thank you!

Answer:

1. 5 times

2. 1/5

Step-by-step explanation:

I can explain later if you want, but you seem like you're in a rush so I'll do it later :)

Answer:

[tex]\mathbf{X_E (2) = 1}[/tex]

[tex]\mathbf{X_E (-2) = 0 }[/tex]  

[tex]\mathbf{\{ x \in Z: X_E(x) = 1\} = E}[/tex]

Step-by-step explanation:

Let E be the set of all even positive integers in the universe Z of integers,

i.e

E = {2,4,6,8,10 ....∞}

[tex]X_E : Z \to R[/tex] be the characteristic function of E.

∴

[tex]X_E(x) = \left \{ {{1 \ if \ x \ \ is \ an \ element \ of \ E} \atop {0 \ if \ x \ \ is \ not \ an \ element \ of \ E}} \right.[/tex]

For XE(2)

[tex]\mathbf{X_E (2) = 1}[/tex]  since x is an element of E (i.e the set of all even numbers)

For XE(-2)

[tex]\mathbf{X_E (-2) = 0 }[/tex]   since  - 2 is less than 0 , and -2 is not an element of E

For { x ∈ Z: XE(x) = 1}

This can be read as:

x which is and element of Z such that X is also an element of x which is equal to 1.

∴

[tex]\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\ \mathbf{\{ x \in Z: X_E(x) = 1\} = E}[/tex]

E = {2,4,6,8,10 ....∞}

Answer:

-8,2

Step-by-step explanation:

Factoring:

(x+8)(x-2)

x is -8 or 2

Answer:

-8 and 2

Step-by-step explanation:

option 2 or b

Answer:

the pair of lines are parallel

Answer:

Width of the walkway = 3 feet

Step-by-step explanation:

Dimensions of a pool = 15 feet × 17 feet

After the addition of a cement walkway around the pool,

New dimensions of the pool (including walkway) = (l + 2x)(w + 2x)

Area of the pool and the cement walkway = 483 square feet

(15 + 2x)(17 + 2x) = 483 [Since, l = 15 feet and w = 17 feet]

255 + 30x + 34x + 4x² = 483

4x² + 64x = 483 - 255

4x² + 64x = 228

4x² + 64x - 228 = 0

x² + 16x - 57 = 0

By using quadratic formula,

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

x = [tex]\frac{-16\pm \sqrt{(16)^2-4(1)(-57)}}{2\times 1}[/tex]

x = [tex]\frac{-16\pm 22}{2}[/tex]

x = 3.0 ft, -19 ft

Since, dimension can't be negative.

Therefore, width of the walkway = 3 ft

The width of the walkway is 3 ft

The pool measures 15 feet by 17 feet. This means the pool is rectangular.

area of the pool = lw

area = 15 × 17 = 255 ft²

A cement walkway is added around the pool, to both the width and the length.

area of the pool and the cement walkway = 483 ft²

Therefore,

area = lw

The width and length was added on both sides.

let

the side added to the width = x

the side added to the length = x

length = 2x + 17

width = 2x + 15

483 = (2x + 17)(2x + 15)

483 = 4x² + 30x + 34x + 255

4x² + 64x - 228 = 0

x² + 16x - 57

x² - 3x + 19x - 57

x(x - 3) + 19(x - 3)

(x + 19)(x - 3) = 0

x = -19 or 3

we can only use positive value of x. Therefore, x = 3

length = 2(3) + 17 = 23 ft

width = 2(3) + 15 = 21 ft

Therefore, the width of the walkway is 21 - 15 / 2 = 3 ft

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Answer:

f(-2,-1) = -8 is the minimum value of f(x,y)

f(2,1) = 8 is the maximum value of f(x,y)

Step-by-step explanation:

f(x,y) = 2x²y under the constraint 2x² + 4y² = 12

Let g(x,y) = 2x² + 4y² - 12

df/dx = 4xy, df/dy = 2x², dg/dx = 4x and dg/dy = 8y

Now, using the principle of Lagrange multipliers,

df/dx + λdg/dx = 0 and df/dy + λdg/dy = 0.

Substituting the values of the variables, we have

df/dx + λdg/dx = 0    and df/dy + λdg/dy = 0.

4xy + 4xλ = 0      (1)           2x² + 8λy = 0  (2)

xy + xλ = 0

x(y + λ) = 0

x = 0 or y + λ = 0

Since x ≠ 0, y = -λ

Substituting y = -λ into (2), we have

2x² + 8λy = 0

2x² + 8λ(-λ) = 0

2x² - 8λ² = 0

2x² = 8λ²

x² = 4λ²

x = ±2λ  

Substituting the values of x and y into the constraint equation, we have

2x² + 4y² = 12

2(±2λ)² + 4(-λ)² = 12

2(4)λ² + 4λ² = 12

8λ² + 4λ² = 12

12λ² = 12

λ² = 1

λ = ±1

Substituting the value of  λ into x and y, we have

x = ±2λ = ±2(±1) = ±2

y = -λ = -(±1) = ±1

The minimum values of x and y are -2 and -1 respectively. Substituting these int f(x,y), we have

f(-2,-1) = 2(-2)²(-1) = 2 × 4 × (-1) = -8

So f(-2,-1) = -8 is the minimum value of f(x,y)

The maximum values of x and y are 2 and 1 respectively. Substituting these int f(x,y), we have

f(2,1) = 2(2)²(1) = 2 × 4 × 1 = 8

So f(2,1) = 8 is the maximum value of f(x,y)

Answer:

The correct answer is 48 - 18s.

Step-by-step explanation:

To simplify this problem, we have to use the distributive property.  To do this, we must multiply each term inside the parentheses by -6 (what is outside of the parentheses).  This is modeled below:

-6(-8 + 3s)

= (-8 * -6) + (-6 * 3s)

Now, we can simplify what is inside the parentheses.

= 48 - 18s

Therefore, the correct answer is 48 - 18s.

Hope this helps!

Answer:

x=3/4

Step-by-step explanation:

First, we must combine like terms and find the common denominator (which is 5):

12/5x-2x

12/5x-10/5x=2/5x

Then, we cross multiply

[tex]\frac{2x}{5} =\frac{3}{10}[/tex]= 2x(10)=(3)(5)=20x=15

Then, we divide by 20 to get x:

x=15/20

and finally, we simplify the fraction

x=3/4

Answer:

10.17

Step-by-step explanation:

To find the answer the this question we must divide "468" by "46". We then get the answer 10.173913....... I rounded it to the hundredths place.

Answer:ifk

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]Circumference = 2\pi r\\\\2 \pi \times 40 ft = 80\pi ft = 253.3274123 ft\\\\= 253.3274123 ft \times 12 \: \frac{inches }{feet} \\\\ = 3015.928947 in\\\\\\10 min = 10 min \times 60 \: sec / min = 600 sec\\\\4 \: revolutions / 10 min = 4 \times 3015.928947\: in / 600 sec \\\\ = 5.0 in/sec[/tex]

The linear velocity of the Ferris wheel is 20.1 inches per secnod.

Suppose the body revolves θ angle in t time then the angular velocity of the body is

ω= θ/t

Suppose the rotating body covers 's' distance in 't' which is actually 'rθ' distance in 't' time because, s=rθ.

Then the linear velocity of the rotating body is

v=s/t=r(θ/t)=r ω

i.e. v=r ω.

The speed of the Ferris wheel is given by 4 revs in 10 minutes. That means 4(2π) radians in 10 minutes.

Hence, the angular velocity of the Ferris Wheel is

ω= 8π/(10×60) rad/s= π/(75) rad/s

Hence, the linear velocity of the Ferris Wheel is

v=r ω= 40 Feet ( π/(75) rad/s)

= (12×40π)/(75) inch/s

= 20.1062 inch/s

≈20.1 inch/s (rounded to the nearest tenth)

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Answer:

45 ft cubed

Step-by-step explanation:

3*3*5 is 9*5 which is 45 feet cubed.

Answer: TRUE

Step-by-step explanation:

you can't never change an irrational number into rational number

2 × √3 = 2√3 ⇔ still an irrational number

Answer:

False

Step-by-step explanation:

 The product of two irrational number 2 is irrational. False. Counterexample: (√2) ∙ (−√2) = 2. (c) The sum of a rational number and an irrational number is irrational.

Answer:

Consrution is the steps of building buildings or town.

Step-by-step explanation:

CONSTRUCTION IS THE ACT OF MAKING 《OR》BUILDING SOMETHING.......

HOPE IT HELP.......❣❣❣

Answer:

A) Population standard deviation is known.

B) Option 3

H0: μ =520,

H1: μ ≠ 520

z > 1.96 or z < -1.96

Step-by-step explanation:

A) The normal distribution should be used for the sample mean because the population standard deviation is known. Usually, when the standard deviation is unknown we don't use normal distribution except there is an underlying normal approximation.

B) Null Hypothesis:H0: μ =520,

Alternative hypothesis H1: μ ≠ 520

At 5% level of significance, from standard tables, we will reject H0 if;

The test statistic; z > 1.96 or z < -1.96

Answer:

  $20.99

Step-by-step explanation:

The sale causes the original price to be multiplied by 1 - 20% = 80%. The tax causes the sale price to be multiplied by 1 + 5% = 105%. The net effect is that the original price is multiplied by the product of these values:

  final cost = $24.99(0.80)(1.05) = $20.99

Answer:

in descending order, your answer would be x^2-y^2+2y-9. Hope this helps!

Step-by-step explanation:

Answer:-6x-9+8y.

Step-by-step explanation: 2x-8x-9-2y+10y                               -6x-9-2y+10y                                                                                     -6x-9+8y

Answer:

[tex]\sqrt{2}+\sqrt{5}[/tex]

Step-by-step explanation:

Since there are 2 diagonal angles that are 90 degrees, we can figure out the shape is made of 2 right triangles, so we can use the Pythagorean theorem to find out the length of each side.

The problem said that there must be 2 distinct sides with integer lengths, but there are no 2 integers that satisfy [tex]x^2+y^2 = 3^2[/tex] so we can deduce that both right triangles contain 1 integer value side and 1 non-integer value side.

There are only 2 positive integer values that would fit in [tex]x^2+y^2 = 3^2[/tex] for x: 1 and 2. That means the 2 triangles' equation is:

[tex]1^2+\sqrt{8}^2 = 3^2[/tex] and [tex]2^2 + \sqrt{5}^2 = 3^2[/tex].

Now, since these are right triangles, their areas are just going to be their 2 legs multiplied by 1/2.

The first triangle's area is:

[tex]1\cdot\sqrt{8}\cdot1/2 = 1\cdot2\sqrt{2}\cdot1/2 = \sqrt{2}[/tex]

The second triangle's area is:

[tex]2\cdot\sqrt{5}\cdot1/2 = \sqrt{5}[/tex]

The total area of the quadrilateral would be the sum of the 2 triangles, which is just [tex]\sqrt{2}+\sqrt{5}[/tex].

I hope this helped you.

The total area of the quadrilateral ABCD is [tex](\sqrt{2}+ \sqrt{5} )[/tex] and this can be determined by using the formula of the area of the triangle.

Given :

The following steps can be used in order to determine the area of ABCD:

Step 1 - Let the length of the segment AD be 'x' and the length of the segment CD be 'y'.

Step 2 - Now, apply the Pythagorean theorem on the triangle ACD.

[tex]x^2+y^2= 3^2[/tex]

Step 3 - According to the given data, ABCD has two sides with distinct integer lengths. So, there are two possibilities:

[tex]1^2+(\sqrt{8} )^2= 3^2[/tex]

[tex](2)^2+(\sqrt{5} )^2=3^2[/tex]

So, the possible sides of the quadrilateral will be [tex]\rm 1, \;2,\; 2\sqrt{2},\;and \;\sqrt{5}[/tex].

Step 4 - So, the area of the triangle ABC is:

[tex]A=\dfrac{1}{2}\times \sqrt{8} \times 1\\A = \sqrt{2}[/tex]

Step 5 - Now, the area of the triangle ACD is:

[tex]A'=\dfrac{1}{2}\times \sqrt{5} \times 2\\A' = \sqrt{5}[/tex]

Step 6 - So, the total area of the quadrilateral ABCD is:

[tex]{\rm Area } = \sqrt{2} + \sqrt{5}[/tex]

The total area of the quadrilateral ABCD is [tex](\sqrt{2}+ \sqrt{5} )[/tex].

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Answer:

a. 7%

b. 13%

c. 3%

d. I can conclude that poor nutrition affects academic performance because the chart shows that people with poor nutrition got the worst scores out of the people with better nutrition.  The chart also shows that there are more kids below average than kids with excellent nutrition.  Kids with poor nutrition also have less people above average then any other category.

Step-by-step explanation:

For the percentages, it is just a number out of the total, which is 1000.  

Percentages are a number out of 100.  Like, 35/100 is 35%.  So the total is 1000 and if you divide it by 10, you'll get 100.  That means you have to only divide the amount of kids in a category by 10, and you'll get the percentage.  

Below average kids with poor nutrition has 70 kids.  

70/1000.  Divide 1000 by 10 to get 100.  Since you divided the denominator, 1000, by 10, you need to do the same for the numerator, which is 70.  70 divided by 10 is 7, so it's 7%.  It is sort of like a ratio!

Average kids with poor nutrition has 130 kids.

130/1000.  Divide 1000 by 10 to get 100.  Since you divided the denominator, 1000, by 10, you need to do the same for the numerator, which is 130.  130 divided by 10 is 13, so it's 13%.

Above average kids with poor nutrition has 30 kids.

30/1000.  Divide 1000 by 10 to get 100.  Since you divided the denominator, 1000, by 10, you need to do the same for the numerator, which is 30.  30 divided by 10 is 3, so it's 3%.

Answer:

69°

Step-by-step explanation:

To obtain the value of w, we must first obtain the value y as shown in the attached photo.

The value of y can be obtained as follow:

y + (w + 37) = 180 (sum of angle on a straight line)

y + w + 37 = 180

Make y the subject by rearranging

y = 180 – 37 – w

y = 143 – w

Finally, we shall determine the value of w as follow:

w + (w – 32) + y = 180 (sum of angles in a triangle)

y = 143 – w

w + (w – 32) + (143 – w) = 180

w + w – 32 + 143 – w = 180

Rearrange

w + w – w – 32 + 143 = 180

w + 111 = 180

Collect like terms

w = 180 – 111

w = 69°

Therefore, the value of w is 69°

Step-by-step explanation:

here's the answer

Hope it helps◉‿◉

Step-by-step explanation:

Jesu

Answer:

7,200,000

Step-by-step explanation:

Number of Possibilities for

A) First Digit

There are 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) of which 0 and 1 is not allowed.

Hence there are 8 possibilities for the first digit

B) Second digit

There are 10 posibilities

C) Third digit

Since it mustn't be the same as Second digit....

There are 9 possibilities

D) Forth digit

There are 10 possibilities

E) Fifth digit

There are 10 possibilities

F) Sixth digit

There are 10 possibilities

E) Seventh digit

There are 10 possbilities

Total possible ways for the 7-digit phone number is...

8×10×9×10×10×10×10

=7,200,000 possible phone numbers

Answer:

[tex]3.126666666666...=3.12\overline{6}[/tex]

Step-by-step explanation:

If the decimal number is repeating, then bar notation is used. A symbol called "bar" is used to express that type of numbers. it is placed at the top of the number that is repeating.

We have a number i.e. 3.126666666666...

We need express it in bar notation.

In this problem, 6 is repeating. It means "bar" is placed over 6.

So,

[tex]3.126666666666...=3.12\overline{6}[/tex]

It is the bar notation of 3.126666666666...

Answer:

On average, Marissa wrote 5 pages ever 8 hours.

Step-by-step explanation:

The ratio is the number of pages to the number of hours she has spent writing so 5:8 means 5 pages every 8 hours.

On average, Marissa wrote 5 pages every 8 hours. Therefore, option C is the correct answer.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of the number of pages she has written so far to the number of hours she has spent writing is 5:8.

In 8 hours Marissa is writing 5 pages

Therefore, option C is the correct answer.

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Answer:

The answer is x= -1.9.

Use the 3 to multiply the number and the letter in the bracket... which is...

3x-24=-29.7.

3x=-29.7+24.

3x=-5.7.

x=-5.7/3.

x=-1.9.

x is -1.9

Solve 3(x-8) = -29.7

Remove the brackets by dividing both sides by 3:

3(x-8) / 3 = -29.7 / 3

You will be left with:

x - 8 = -9.9

Take -8 to the other side so that you can be left with x. When you do this, the sign will change from negative to positive:

x = -9.9 + 8

x = 1.9

x is therefore -1.9

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Answer:

-1.75

Step-by-step explanation:

Point A is in between - 1 and -2

This interval is split in 4 equal parts and has 3 marker points.

Point A is on the bottom marker point, which indicates:

Since it is below -1, we add up - 1 and - 0.75:

Point A represents: -1.75 on the number line

Answer:

-0.75678obsf

Step-by-step explanation:

Answer:

possible maximum and minimum values : f (1,1),  f (-1,-1)

Step-by-step explanation:

Given function :

f(x,y) = x^2 + y^2

constraint = xy = 1

attached below is the detailed solution of the method of using Lagrange method of Multipliers  to find the maximum and minimum values of the function