Simplify the expression (5x2 + 5x – 32) – 3(x2 + 2x +11)

Answer:

Alright, for question 7, the angle pair relationship is that they are corresponding angles.

So, 17x - 34 = 13x - 14. This means that 4x = 20, and x = 5 :)

For question 8, the angles are a linear pair. They are supplementary (adding to 180) :)

So, 37x - 17 + 33x - 13 = 180

This means taht 4x = 210, and x = 52.5? (I'm not sure if I screwed up on the arithmetic on this one, please correct if you find any mistakes!)

Answer:

The answer is 3/5=x/20

If you can buy 3 bags for $5 then you can buy 12 bags with $20

Step-by-step explanation:

Basically divide 20 by 5

Then you multiply the answer to 20/5 which is 4 by 3 to get x

Which would be 12

Answer:

3x≥21

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 351.9 cm^3

d = diameter = 8 cm

r = radius = diameter/2 = 4 cm

h = height = 7 cm

volume = (pi)r^2h

volume = (3.14159)(4 cm)^2(7 cm)

volume = 3.14159(16 cm^2)(7 cm)

volume = 351.858 cm^3

Answer: 351.9 cm^3

Answer:

Step-by-step explanation:

Answer: 351.9 cm^3

d = diameter = 8 cm

r = radius = diameter/2 = 4 cm

h = height = 7 cm

volume = (pi)r^2h

volume = (3.14159)(4 cm)^2(7 cm)

volume = 3.14159(16 cm^2)(7 cm)

volume = 351.858 cm^3

Answer: 351.9 cm^3

Answer:

[tex]y(x)=\frac{1}{2}e^{-3x}-\frac{2}{3}e^{-2x}+\frac{1}{6}e^{x}[/tex]

Step-by-step explanation:

[tex]y''+y'-2y=e^{-3x},\: y(0)=0,\: y'(0)=0\\\\\mathcal{L}\{y''\}+\mathcal{L}\{y'\}-2\mathcal{L}\{y\}=\mathcal{L}\{e^{-3x}\}\\\\s^2Y(s)-sy(0)-y'(0)+sY(s)-y(0)-2Y(s)=\frac{1}{s+3} \\ \\s^2Y(s)+sY(s)-2Y(s)=\frac{1}{s+3}\\ \\(s^2+s-2)Y(s)=\frac{1}{s+3}\\ \\Y(s)=\frac{2}{(s+3)(s^2+s-2)}\\ \\Y(s)=\frac{2}{(s+3)(s+2)(s-1)}[/tex]

Perform the partial fraction decomposition

[tex]\frac{2}{(s+3)(s+2)(s-1)}=\frac{A}{s+3}+\frac{B}{s+2}+\frac{C}{s-1}\\ \\2=(s+2)(s-1)A+(s+3)(s-1)B+(s+2)(s+3)C[/tex]

Solve for each constant

[tex]2=((-2)+2)((-2)-1)A+((-2)+3)((-2)-1)B+((-2)+2)((-2)+3)C\\\\2=-3B\\\\-\frac{2}{3}=B[/tex]

[tex]2=(1+2)(1-1)A+(1+3)(1-1)B+(1+2)(1+3)C\\ \\2=12C\\\\\frac{2}{12}=C\\ \\\frac{1}{6}=C[/tex]

[tex]2=((-3)+2)((-3)-1)A+((-3)+3)((-3)-1)B+((-3)+2)((-3)+3)C\\ \\2=4A\\\\\frac{2}{4}=A\\ \\\frac{1}{2}=A[/tex]

Take the inverse transform and solve for the IVP

[tex]Y(s)=\frac{\frac{1}{2}}{s+3}+\frac{-\frac{2}{3}}{s+2}+\frac{\frac{1}{6}}{s-1}\\\\y(x)=\frac{1}{2}e^{-3x}-\frac{2}{3}e^{-2x}+\frac{1}{6}e^{x}[/tex]

Answer:

x = 20

Step-by-step explanation:

When two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.

5x + 20 = 3x + 60

Now subtract 3x form both sides

5x - 3x + 20 = 3x - 3x + 60

   2x   + 20  = 60

Subtract 20 from both sides

 2x + 20 -20 = 60 - 20

              2x  = 40

Divide both sides by 2

x = 40/2

x = 20

Answer:

[tex]\huge\boxed{\sf x = 4}[/tex]

Step-by-step explanation:

Given that:

[tex]y \propto x[/tex]

Converting proportionality into equality

[tex]y = kx[/tex] ----------------(1)

y = 18 when x = 2

Put it in Eq. (1)

[tex]\displaystyle 18 = k(2)\\\\Divide \ both \ sides \ by\ 2\\\\\frac{18}{2} = k\\\\9 = k\\\\ \boxed{k = 9}[/tex]

Now,

x = ? when y = 36

Put it in Eq. (1)

[tex]36 = (9) x\\\\Divide \ both \ sides \ by \ 9\\\\36 / 9 = x\\\\4 =x \\\\\boxed{x = 4}\\\\\rule[225]{225}{2}[/tex]

Answer:

$36

Step-by-step explanation:

$48 × (100 - 25)% = $36

Answer:

D

Step-by-step explanation:

The required inequality for the price of a 2-pack shopkin should not be more than $4 is  ≤ 4.

The price of a 2-pack shopkin should not be more than $4. Inequality in the situation is to be determined.

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

The price of a 2-pack shopkin should not be more than $4.
Let the price of 2 - pack shopkin is x and it should not be more than $4 it impise the price of 2 pack shopkin canno be set up more than 4 but it could be 4 or less so, Inequality for 4 or less of price of 2 pack shopkin is given by,
x  ≤ 4.

Thus, the required inequality for the price of a 2-pack shopkin should not be more than $4 is  ≤ 4.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ5

Answer:

x=12

Step-by-step explanation:

3x12=36

36+8=44

Answer:

x = 12

Step-by-step explanation:

3x + 8 - 8 = 44 - 8

3x = 36

simplify to get 12

Answer:

Answer is A

(100*-m)+(45*n)

Step-by-step explanation: because stock a decreases per sock so your going to multiply 100 times -m because it is decreasing so it will be negative

Then it will be 45*n because it increase per number of stocks so you multiply 45 which is the number of stocks times n

Step-by-step explanation:

Answer:

The value is undefined.

Answer: a. when the lurking variable (size of the stone) is introduced, the conclusions are reversed (percutaneous nephrolithotomy turns out to be less successful at removing them).

Step-by-step explanation: Simpson's Paradox happens when a group of data shows a relationship in each group but it is reversed when the group is combined.

In the BMJ paper, percutaneous nephrolithotomy had a bigger successful rate than open surgery. But, the rates are reversed when the diameter (size) of the stone is included in the research. So, an individual group of data had a relationship and a factor reversed the relationship. This is an example of Simpson's Paradox.

Excerpt form the paper in BMJ.

The excerpt is taken from the paper that got published in the british medical journal of 1994. Ths journal was understand for a historical comparison of the success rates in kidney stone removal. As the success rate of the surgery was about 83%.

Hence the answer is lurking variable is introduced, the conclusions are reversed.

Learn more about the  undertook a historical.

brainly.com/question/12653054.

Answer:

9

Step-by-step explanation:

this is because it is 9 and it could be 9

Answer:

First let's find what (5x7) + (5x9) equals;

(5x7) + (5x9)

35 + 45

= 80

Now 80 has to equal to;

5 x (7 + y) ( where 'y' is our unknown number)

So we set up the equation:-

80 = 5 x (7 + y)

80 = 35 + 5y

-35      -35

45 = 5y

/5    /5

9 = y

Let's double check:

80 = 5 x (7 + y)

80 = 5 x (7 + 9)

80 = 35 + 45

80 = 80, we are correct.

Answer:

-37

Step-by-step explanation:

-24+(-65) /5

-24 + (-13)

-37

Answer:

-37

Step-by-step explanation:

-24+(-65)/5

-24+(-65/5)

-24 - 13

-37

Answer:

your answer will be 47000

Answer:

The correct answer is 47,000.

Answer:

m<3 = 80

Step-by-step explanation:

We know that the sum of all the angles in a triangle is 180.

Thus, we can find the m<3 using the equation 180 - (70 + 30) = m<3

Simplifying gives us m<3 = 80

Answer:

B .80

Step-by-step explanation:

all interior angles in a triangle=180

180-(70+30)

180-100

=80

1 dollar for 3 bananas

so with

3 dollars we will get 3x3 = 9 bananas

If her income is 210 marks, how many bananas can she buy if ... is 4 dollars each and the cost of bananas is 3 dollars per bunch.

Step-by-step explanation:

Answer:

what whats the question so I can answer

Answer:80

Step-by-step explanation: Distribute the 5 to the 9 and 7 to get 35+45 and add to get 80

Answer:

slope = -3

Step-by-step explanation:

slope = -3

Answer:

-1/3

Step-by-step explanation:

we know ,

Here , m= slope

(x1,y1) , (x2,y2) are point of the slope

[tex]m=\frac{6-2}{-6-6 }[/tex]

or, [tex]m=\frac{4}{-12 }[/tex]

so , m= -1/3

Answer:

NO

Step-by-step explanation:

There is an odd number of students so one team would have 7 students while the other would have only 6

Answer:

Step-by-step explanation:

No she can't divide them equally because the total of the both classes is 13 which is an odd number and it is not possible  to divide an old number equally.

Hope this helps

Answer:

x = 0, 2, -2

Step-by-step explanation:

3x^3 - 12x = 0

3x ( x^2 - 4 ) = 0

3x = 0

x = 0

x^2 - 4 = 0

( x -2 ) ( x + 2 ) = 0

x -2 = 0

x = 2 , x + 2 = 0

               x = -2

Answer:

The weight of pure gold in 10 grams of 20 carat it is given that 24 carat gold is cent percent pure gold is 83.33 grams

hope this is helpful

Answer:

The weight of pure gold in 10 grams of 20 carat it is given that 24 carat gold is cent percent pure gold is 83.33 grams.

Step-by-step explanation:

To find : The weight of pure gold in 10 grams of 20 carat it is given that 24 carat gold is cent percent pure gold ?

Solution :

The percentage of pure gold in 10 grams can be measured of 24 carat gold.

In fact, this is equal to 100 percentage of pure gold in 10 grams of 1 carat.

The pure gold in 10 grams of 24 carat gold is

\frac{10}{24}\times 100=4.16

24

10

×100=4.16

The pure gold in 10 grams of 20 carat gold is

4.16\times 20=83.334.16×20=83.33

Therefore, The weight of pure gold in 10 grams of 20 carat it is given that 24 carat gold is cent percent pure gold is 83.33 grams.

[tex]\bold{\huge{\underline{ Solution \: 1 }}}[/tex]

Theorem 1 :- SSS Similarity

Theorem 2 :- AA similarity

Theorem 3 :- SAS similarity

Theorem 4 :- AAA similarity

Here, We have given statement that

From above theorem, we can conclude that

Hence, Option C is correct

[tex]\bold{\huge{\underline{ Solution \: 2 }}}[/tex]

The given statement is proved by using Pythagorean theorem.

That is,

[tex]\sf{\red{ (Hypotenuse)^{2} = ( Perpendicular)^{2} + ( Base) ^{2}}}[/tex]

Hence, Option D is correct that is Pythagorean theorem.

Answer:

  a) payment: $1082.84

  b) interest: $194,822.40

Step-by-step explanation:

The monthly payment on the mortgage can be found using the given formula with the given values of principal (P=195000), interest rate (r=0.053), and time period (t=30). The value of n is 12, corresponding to the number of months in a year.

The monthly payment is ...

  [tex]k=\left(1+\dfrac{r}{n}\right)^{nt}=\left(1+\dfrac{0.053}{12}\right)^{12\cdot30}\approx 4.88661119\\\\\text{monthly payment}=\dfrac{P\cdot\dfrac{r}{n}\cdot k}{k-1}=\dfrac{195000\cdot0.0044166667\cdot4.88661119}{4.88661119-1}\\\\\boxed{\text{monthly payment}=\$1082.84}[/tex]

__

The interest owed is the difference between the total of monthly payments and the principal of the loan:

  interest owed = (360)(1082.84) -195000 = 194,822.40

The interest owed over 30 years is $194,822.40.

Answer:

if it's 41 and 1 then the answer is 41 but if it's 4 and 1 then the answer is 4

Step-by-step explanation:

you take length times with and so 4 times 1 which is 4 or 41 times 1 which is 41

Answer:I’m pretty sure it would be A!

Step-by-step explanation:

Answer:

Should be A

Step-by-step explanation:

But it all depends on the mirror

Answer:

13.22

Step-by-step explanation:

The eqtn is

hypotenuse^2 = leg^2 + leg^2

20^2 = 15^2 + L^2

400 = 225 + L^2

L^2 = 400 - 225 = 175

L = √175 = 13.22