6(5 – 3x) – 5(3x + 2)

Answer:

(x + 3) × (2x - 7)

Step-by-step explanation:

2x² - x - 21

Write as a difference

2x² + 6x - 7x - 21

Factor the expressions

2x × (x + 3) - 7 (x + 3)

Factor the expression

(x +3) × (2x - 7)

Answer: Lester gets about 400 k - 700k in casino hiest

Step-by-step explanation:

Answer:

Step-by-step explanation:

cot θ=-9.68

cotθ is negative

so θ lies in 2nd or 4th quadrant.

tan θ=-1/9.68

θ=tan ^{-1}(-1/9.68)≈174.1°,354.1°

3.

sec θ=-9.13+5=-8.13

sec θ is negative so θ lies in 2nd or 3rd quadrant.

cos θ=(-1/8.13)

θ=cos^{-1}(-1/8.13)≈97.1°

Answer:

5(4x + 5)

Step-by-step explanation:

Given

20x + 25 ← factor out the common factor 5 from each term

= 5(4x + 5)

Answer:

5(4x+5)

Step-by-step explanation:

divide both with the same number into smallest digit

eg: 5(4x+5)=20x+25

if 5x4=20 and 5x5=25

both can be divided by 5 to get smallest number(factorise it)

Answer:

n = 7

Step-by-step explanation:

[tex]Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ [/tex]

Answer:

n = -7 ∪ 7

=> n = |7|

Step-by-step explanation:

S = 12cm = (n + 5) * (n + 5 - 10) / 2

[tex]S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\[/tex]

Answer:

Step-by-step explanation:

4-8 = -4

1-10 = -9

-4/-9 simplifies to 4/9

Answer:

1/3

Step-by-step explanation:

3×x=1

x= 1/3

Answer:

[tex]x=40[/tex]

Step-by-step explanation:

[tex]x=\frac{4}{5}\left(x+10\right)\\\mathrm{Expand\:}\frac{4}{5}\left(x+10\right):\quad \frac{4}{5}x+8\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=\frac{4}{5},\:b=x,\:c=10\\=\frac{4}{5}x+\frac{4}{5}\cdot \:10\\=\frac{4}{5}x+10\cdot \frac{4}{5}\\10\cdot \frac{4}{5}=8\\10\cdot \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{4\cdot \:10}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:10=40\\=\frac{40}{5}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{40}{5}=8\\=\frac{4}{5}x+8\\x=\frac{4}{5}x+8\\\mathrm{Subtract\:}\frac{4}{5}x\mathrm{\:from\:both\:sides}\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\Simplify\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\\mathrm{Simplify\:}x-\frac{4}{5}x:\quad \frac{1}{5}x\\x-\frac{4}{5}x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(1-\frac{4}{5}\right)\\1-\frac{4}{5}=\frac{1}{5}\\=\frac{1}{5}x\\1-\frac{4}{5}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:5}{5}\\=\frac{1\cdot \:5}{5}-\frac{4}{5}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{1\cdot \:5-4}{5}\\1\cdot \:5-4=1\\1\cdot \:5-4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:5=5\\=5-4\\\mathrm{Subtract\:the\:numbers:}\:5-4=1\\=1\\=\frac{1}{5}\\=\frac{1}{5}x\\\mathrm{Simplify\:}\frac{4}{5}x+8-\frac{4}{5}x:\quad 8\\\frac{4}{5}x+8-\frac{4}{5}x[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:\frac{4}{5}x-\frac{4}{5}x=0\\=8\\\frac{1}{5}x=8\\\mathrm{Multiply\:both\:sides\:by\:}5\\5\cdot \frac{1}{5}x=8\cdot \:5\\\mathrm{Simplify}\\x=40[/tex]

Answer:

40

Step-by-step explanation:

x+10= x 5/4

x +10= 5x/4

4x+40= 5x

40= x

x=40

Step-by-step explanation:

The equation is

X + 10205 = 21894

X = 21894 - 10205

X = 11689

Answer:

Both conclusions are correct

Step-by-step explanation:

Ivan: The product of an even number of negative fractions is always positive.

When even numbers of same negative fractions are multiplied together, the product is positive.

For instance: -1 × -1

Since the total numbers to be multiplied are even (two -1), the product becomes +1

Ivan's conclusion is correct.

Polina: The product of an odd number of negative fractions is always negative.

When odd numbers of same negative fractions are multiplied together, the product is negative.

For instance: -1 × -1 × -1 × -1 ×-1

Since the total numbers to be multiplied are odd (five -1), the product becomes -1

(-1 × -1) × (-1 × -1) ×-1

= +1 × +1 × -1

The multiplication of same sign gives positive value while the multiplication of two different signs gives a negative value

= +1 × -1

= -1

Polina's conclusion is correct

Both are correct.

Answer:

both of them

Step-by-step explanation:

Answer:

integers

rational numbers

real numbers

Step-by-step explanation:

i answered the question:)

Using number sets, it is found that the number -5 belongs to these following sets:

----------------------------------

Numbers are classified as:

----------------------------------

A similar problem is given at https://brainly.com/question/10814303

You didnt give the sizes of the ribbon so let me help you out. You have to divide the size by total cost, bringing you to the cost per one whatever unit you are using.

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2+pq-pqr​

Factor out a p

p(p+q-qr)

Answer:

p(p+q-qr)

Step-by-step explanation:

p^2 +pq-pqr

= p(p+q-qr)

Step-by-step explanation:

We can see from the image that z and 20° degrees are complementary, meaning they have a sum of 90°. From this, z = 70°. Hope this helps!

Answer:

70

Step-by-step explanation:

Z is part of a right angle so 90-20 is 70

Answer:

Si

Step-by-step explanatio:

Answer:

idk

Step-by-step explanation:

hi

Answer:

It has no real solutions.

Step-by-step explanation

Once you calculate the discriminant,  D= (-10)^2 -4 (8)(15), you simplify the expression to get D= -380, which has no real solutions.

Answer:

No solutions

Step-by-step explanation:

Quadratic equations are in the form of ax^2+bx+c, so a = 8, b= -10, and c = 15.

Use b^2 - 4ac to find the discriminant.

-10^2 - 4(8)(15) = -580

If a discriminant is < 0 then there are no real solutions to a quadratic equation. -580 < 0

Therefore, there are no real solutions

Answer:d

Step-by-step explanation:(2√7 +3√6) (5√2 +4√3)

To open the bracket, multiply the first rational number (2√7 ) with the two numbers in the other bracket and 3√6 with the other numbers in the other brackets.

2√7(5√2+4√3) + 3√6(5√2+4√3)

Multiply number with number and root with root

10√14 +8√21+15√12+12√18

Then look for the roots which have a perfect number and can be broken down. There is 12 and 18 which have perfect numbers.

10√14 +8√21+(15√4 x√3) +(12√9 x √2)

10√14 +8√21 +15 x 2 x√3 +12 x 3 x √2

10√14+8√21+30√3 +36√2 ans

Answer:

1). Number of kids on the other side = 16

2). Brian took the time to each piece of pie = 20 seconds

Step-by-step explanation:

1). Let the number of kids on one side = x

  Then the number of kids on other side = 2x

  3 adults helped the side having number of kids = x, then the number of people on this side = x + 3

Since the total number of people on this side = 11

Then the equation will be,

x + 3 = 11

x = 11 - 3

x = 8

Then number of kids on the other side = 2x = 2×8

                                                                           = 16

2). By unitary method,

∵ Brian took the time to eat 6 pieces of the pie = 2 minutes

∴ Brian will take time to eat 1 piece of pie = [tex]\frac{2}{6}[/tex] minutes

                                                                     = [tex]\frac{2}{6}\times 60[/tex] seconds

                                                                     = 20 seconds

Answer:

52.48

Step-by-step explanation:

find the cross sectional area which is the triangle

triangle = 1/2 x 8.2 x 6.4 = 26.24

then, use the area to multiply by the extended length of 2

26.24 x 2 = 52.48

Step-by-step explanation:

11m - 7m < 14 + 14

4m < 28

m < 28 / 4

m < 7

Answer:

1/2

Step-by-step explanation:

[tex]\dfrac{1}{3}\div \dfrac{2}{3}=\\\\\dfrac{1}{3}\times\dfrac{3}{2}=\\\\ \dfrac{3}{6}=\\\\\dfrac{1}{2}[/tex]

Hope this helps!

Answer:

number of state parks in Florida is 147.

Equation is  1/3(f) + 36 = 85

Step-by-step explanation:

Given that f represents the number of state parks in Florida.

Also given that number of State Parks in California is 36 more than one third the number of State Parks in Florida

number of State Parks in California = 1/3 (number of State Parks in Florida) + 36

but it is given that There are 85 State Parks in California

and f represents the number of state parks in Florida

85 = 1/3(f) + 36  _________equation

=> 85 - 36 = 1/3 (f)

=> 49 = 1/3 f

=> 49*3 = f

=> f = 147

Thus, number of state parks in Florida is 147.

Equation is  1/3(f) + 36 = 85

A=bh/2

A=2/3ft*3/5ft/2

A=2/3×5/5*3/5×3/3/2

A=10/15*9/15/2

A=90÷15/2

A=6ft^2

Answer:

The area of triangle is 1/5 feet².

Step-by-step explanation:

You have to use area of triangle formula, A = 1/2×height×base. Then substitute the following values into the formula :

[tex]area = \frac{1}{2} \times height \times base[/tex]

Let height = 3/5,

Let base = 2/3,

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

[tex]area = \frac{1}{2} \times \frac{1}{5} \times \frac{2}{1} [/tex]

[tex]area = \frac{1}{2} \times \frac{2}{5} [/tex]

[tex]area = \frac{1}{5} {feet}^{2} [/tex]

Answer:

Step-by-step explanation:

Answer:

B. She got the sign of the slope wrong.

Step-by-step explanation:

This is the correct answer for edge

Answer:

B

Step-by-step explanation:

She got the sign of the slope wrong.

Answer:

Step-by-step explanation:

Answer:

3.75 hours (3 hours and 45 minutes)

Step-by-step explanation:

5 times 3/4 = 3.75

Answer:

It will be true when a ≤ 4

Step-by-step explanation:

You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.

Answer:

change the negative to not domain and the zero to in domain

Step-by-step explanation

Answer:

15/17

12/37

12/13

20/21

Step-by-step explanation:

5)

cos A = adj/hyp = 15/17

6)

cos C = adj/hyp = 12/37

7)

cos Z = adj/hyp = 36/39 = 12/13

8)

tan A = opp/adj = 20/21