Simplify the equation: 2x - 3 > 2(x+9)

Answer:

slope: (y² - y¹) / (x² - x¹)

(-6, 3) (9, 7)

(7 - 3) / (9 + 6) = 4 / 15

y = 4/15x + b

slope: (4/15)x

(4, -10) (-2, -6)

(-6 + 10) / (-2 - 4) = 4 / -6 = 2 / -3

y = (-2/3)x + b

slope: (-2/3)x

Answer: Hi!

We already know that we can subtract a dollar from the total, because the bat is a dollar more than the ball. However, there's one more step! We have to divide the cost left, 10 cents, by 2 as well, because the bat is a dollar more than the ball, and if we said that the answer was a dollar, we would be wrong, because there would be 10 cents left as the cost of the ball - and if the bat was a dollar more than the ball, then the bat would be $1.10 and the total cost would be $1.20. 10 divided by 2 is 5, so the ball is 5 cents and the bat is $1.05.

Hope this helps!

5 cents

as the ball costs 5 cents the bat costs $1.05

Answer/Step-by-step explanation:

Using α as reference angle:

Perpendicular side = BC (one of the legs that adjoins to form a right angle. It is opposite to the reference angle.)

Base side = AB (The other leg that forms a right angle with the perpendicular side at the adjoining point. It is adjacent to the reference angle)

Hypotenuse = AC (the side opposite to the right angle, 90°)

Using β as reference angle:

Perpendicular side = AB (one of the legs that adjoins to form a right angle. It is opposite to the reference angle.)

Base side = BD (The other leg that forms a right angle with the perpendicular side at the adjoining point. It is adjacent to the reference angle)

Hypotenuse = AD (the side opposite to the right angle, 90°)

Answer:

Hey there!

12xyz-45 is a binomial. A binomial contains two terms.

Let me know if this helps :)

Answer:

No, because he needs to save at least $153, and he will only save $150 over the next ten weeks.

Step-by-step explanation:

In case when ben wants to save $15 for a week and the total number of weeks is 10 so the total saving amount is $150. Now if the cost of a stereo is less than the total of saving amount so he is confident to purchase the stereo.

Now if the amount that required to be saved is represented by a is more than $150 so he is unable to purchase a stereo

Hence, the correct option is a.

Answer:

Step-by-step explanation:

Using the equation, A + 212 ≥ 365

No, because he needs to save at least $153, and he will only save $150 over the next ten weeks.

(ignore this answer, i cant delete it srry..)

Answer:

It takes them 45 minutes

Step-by-step explanation:

Let's say that x is the amount of work in one hour that zina does

so the amount of work that rachel does in the same hour is 1/3x, because 3 times slower

so we have

x+1/3x=100%

what does that mean?

it means the amount of hours taken to complete a skycraper

so we solve for x

x=75%

so we need to figure out how much hours does zina takes to complete 75% of the skycraper

1 hour ----- 100%

x hours ---- 75%

1 hour *75%/100%=x hours

1 hour (3/4)=x hours

60 minutes (3/4)= x minutes

x=45 minutes

Answer:

[tex]N = \{1,2,3,4,5,6,.....\}[/tex]

Step-by-step explanation:

Required

Determine the sets of natural number

Represent this set with letter N

From definition of natural numbers, they are integer numbers starting from 1;

In other words: 1,2,3,4,5, and so on.

To represent this as a set of N, we have

[tex]N = \{1,2,3,4,5,6,.....\}[/tex]

The ..... means that the counting still continues

Answer:

7

Step-by-step explanation:

The coefficient of a variable is simply the number it's being multiplied by or the number that is in front of it. In this case, the coefficient of y is 7.

Answer:

$80

Step-by-step explanation:

If we have four scarves, and each costs $20, we can multiply these two numbers to find the total profit made.

[tex]20\cdot4[/tex]

2 times 4 is 8, and adding a 0 to that is 80.

Hope this helped!

Answer:

6^5 or 7776

Step-by-step explanation:

6^5 because 6 is multiplied with 6, 5 times. So, it is 6^5.

We can also simplify this number.

=> 6 x 6 x 6 x 6 x 6

=> 36 x 36 x 6

=> 36 x 216

=> 7776

Answer: No, it is not a rhombus

Why not? This is because we do not have all four sides the same length.

DE is longer than EF, due to the opposite angles being larger. The rule is: the larger the angle, the longer the opposite side will be.

Answer:

9x² - 42x + 49

Step-by-step explanation:

Given

(3x - 7)² = (3x - 7)(3x - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(3x - 7) - 7(3x - 7) ← distribute both parenthesis

= 9x² - 21x - 21x + 49 ← collect like terms

= 9x² - 42x + 49 ← in expanded form

Answer:

$520

Step-by-step explanation:

Ben earns $13 per hour of regular work

He gets for 40 hours of regular work:

Answer is $520

Answer:

Step-by-step explanation:

Hint :

[tex](a*b)^{m}= a^{m}b^{m}\\\\\\(a^{m})^{n}=a^{mn}\\\\\\a^{m}*a^{n}=a^{m+n}\\[/tex]

[tex]1)x^{2}(2xy^{3})^{5}=x^{2}*2^{5}*x^{5}*(y^{3})^{5}\\\\\\=x^{2}*2^{5}*x^{5}*y^{3*5}\\\\=x^{2}*2^{5}*x^{5}*y^{15}\\\\=2^{5}*x^{2+5}*y^{15}\\\\=2^{5}x^{7}y^{15}[/tex]

[tex]2) (4x10^{8})^{2}=4^{2}*x^{2}*(10^{8})^{2}\\\\=16*x^{2}*10^{8*2}\\\\=1.6*10*x^{2}*10^{16}\\\\=1.6x^{2}*10^{16+1}\\\\=1.6x^{2}10^{17}[/tex]

[tex]3)(-h^{4})^{5}=(-h)^{4*5}=-h^{20}\\\\\4)(3xy^{3})^{2}(xy)^{6}=3^{2}x^{2}(y^{3})^{2}x^{6}y^{6}\\\\=9x^{2}y^{3*2}x^{6}y^{6}\\\\\\=9x^{2}y^{6}x^{6}y^{6}\\\\=9x^{2+6}y^{6+6}\\\\=9x^{8}y{12}\\\\\\[/tex]

[tex]5) (p^{9})^{-2}=p^{9*-2}=p^{-18}\\\\\\6)(5k^{2})^{3}=5^{3}(k^{2})^{3}=625k^{6}\\\\7)(7x10^{5})^{2}=7^{2}x^{2}(10^{5})^{2}\\\\=49x^{2}10^{5*2}\\\\=4.9*10^{1}x^{2}10^{10}\\\\=4.9x^{2}10^{10+1}\\\\=4.9x^{2}10^{11}[/tex]

[tex]8)x^{3}(-x^{3}y)^{2}=x^{3}*(-x^3})^{2}y^{2}\\\\\\=x^{3}*(-1)^{2}*x^{2*3}y^{2}\\\\=x^{3}*1*x^{6}y^{2}=x^{3+6}y^{2}\\\\=x^{9}y^{2}\\\\\\9)w^{5}(w^{2})^{-4}=w^{5}w^{2*-4}\\\\=w^{5}w^{-8}\\\\=w^{5-8}=w^{-3}\\\\=\frac{1}{w^{3}}\\\\\\10) (2x^{5})^{4}=2^{4}x^{5*4}\\\\=2^{4}x^{20}\\\\=16x^{20}[/tex]

Answer: C) 6

================================================

Explanation:

2.33333... where the 3s go on forever is the same as 2 + 1/3 or 2 & 1/3

So we really have 3 & 2/3 added onto 2 & 1/3

The fractional portions add to 2/3 + 1/3 = 3/3 = 1, which will carry over.

The whole number portions add to 3+2 = 5, and we add on the carry of 1 to get 5+1 = 6

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

Using your calculator

3 & 2/3 = 3 + 2/3 = 3 + 0.667 = 3.667 approximately

adding this onto 2.333 leads to

3.667 + 2.333 = 6

Technically the 6's go on forever in the decimal form of 3 & 2/3, but rounding wont have an effect on the answer when we add

The sum of the given fraction is 6. Therefore, option C is the correct answer.

Given that, 3 2/3 + 2.3333....

We need to find the sum of the given fractions.

To add fractions follow these steps:

Step 1: Make sure the bottom numbers (the denominators) are the same.

Step 2: Add the top numbers (the numerators), and put that answer over the denominator.

Step 3: Simplify the fraction (if possible).

Now, 2.3333.... can be written as

x=2.333.... ------(1)

10x=23.333.... ------(2)(Multiply by 10 to both sides of the equation)

Subtract equation (1) from (2)

That is, 10x-x=23.333.....-2.333......

⇒9x=21

⇒x=21/9

⇒x=7/3

⇒x=2 1/3

Now, 3 2/3 + 2 1/3

=(3+2) 2/3 + 1/3

=5 3/3

=5+1=6

The sum of the given fraction is 6. Therefore, option C is the correct answer.

To learn more about the sum of fractions visit:

https://brainly.com/question/23853550.

#SPJ2

3 is what my answer was

============================================

Explanation:

From 5 to 5, we add 0

From 5 to 6, we add 1

From 6 to 8, we add 2

From 8 to 11, we add 3

Assuming this pattern keeps up, the next term is found by adding 4.

So 11+4 = 15 is the next term.

Answer:

the answer = C (may be but not sure)

Answer:

The answer has to be A

Step-by-step explanation:

The trees have nothing changed about them, so they can be considered to be the control. In additon, placebo is given as a control in medical trials, so it cannot be correct. And, the students have nothing changed in D, so the answer to this question has to be A, where the patients are given a new drug.

Answer:

(-2, 3)

Step-by-step explanation:

5/2(3/4x + 1/3y = -1/2)

1/2x - 5/6y = -7/2

15/8x + 5/6y = -5/4

19/8x = -19/4

x = -2

1/2(-2) - 5/6y = -7/2

-1 -5/6y = -7/2

-5/6y = -5/2

y = 3

Answer:

Step-by-step explanation:

Let the consecutive even numbers be 2n , (2n + 2) , (2n +4), (2n + 6)

2n + 2n+2 + 2n+4 + 2n+6 = 180

Add like terms

2n + 2n + 2n + 2n + 2 + 4 + 6 = 180

8n + 12 = 180

Subtract 12 from both sides

8n + 12 - 12 = 180 - 12

              8n = 168

Divide both sides by 8

 8n/8 = 168/8

     n = 21

2n = 2*21 = 42

2n + 2= 2*21 +2 = 42 +2 = 44

2n +4 = 2*21 + 4 = 42 + 4 = 46

2n +6 = 2*21 + 6 = 42 + 6 = 48

The 4 consecutive even integers:  42, 44 , 46 , 48

Answer:

-2

Step-by-step explanation:

f(2) is the value of the function when x = 2.

Look in the graph. When x = 2, the point on the graph has coordinates (2, -2).

f(2) = -2

Answer:

33.05°

Step-by-step explanation:

The diagram above is a right angled triangle.

To solve for this question, we would be making use of the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse

From the above diagram,

Opposite side = 162.5 yards

Hypotenuse = 298 yards

θ = unknown

sin θ = 162.5 yards/298 yards

sin θ = 0.5453020134

θ = arc sin(0.5453020134)

θ = 33.045304587°

Approximately

θ = 33.05°

Answer:

There is 160.81 % of increase.

Step-by-step explanation:

Given that,

The average size of a privately owned farm in a particular country was 171 acres.

Now, the average size of a privately owned farm in the country had increased to 446 acres.

We need to find the percent increase.

[tex]\%=\dfrac{\text{increase}}{\text{original}}\times 100\\\\\%=\dfrac{446-171}{171}\times 100\\\\\%=160.81\%[/tex]

So, there is 160.81 % of increase.

Answer:

The answer is below

Step-by-step explanation:

The compound interest is given by the formula:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\Where\ A \ is\ the\ final \ amount, P\ is\ the \ principal\ or \ initial\ amount,r\ is\ the\ rate\\n\ is\ the\ number\ of \ times\ compounded\ per\ period\ and \ t\ is\ the\ number\ of\ periods.\\[/tex]

For the same amount of principal (P) for both plan A and B:

Plan A offers a  quarterly compounded interest rate of 0.15%. That is r = 0.15% = 0.0015, n = 4. Therefore:

[tex]A_a=P(1+\frac{0.0015}{4} )^{4t}\\\\A_a=P(1+0.000375)^{4t}\\\\A_a=P(1.000375)^{4t}[/tex]

Plan B offers  annual compounded interest rate of 0.5%. That is r = 0.5% = 0.005, n = 1. Therefore:

[tex]A_b=P(1+\frac{0.005}{1} )^{t}\\\\A_b=P(1.005)^{t}\\\\The\ ratio\ of\ their\ interest:\\\\\frac{A_a}{A_b} =\frac{P(1.000375)^{4t}}{P(1.005)^{t}} \\\\\frac{A_a}{A_b} =\frac{(1.000375)^{4t}}{(1.005)^{t}} \\\\For\ the\ same\ time\ period\ of\ one\ year(t)=1\\\\\frac{A_a}{A_b} =\frac{(1.000375)^{4(1)}}{(1.005)^{1}} \\\\\frac{A_a}{A_b} =\frac{1.0015}{1.005} \\\\A_b=\frac{1.005A_a}{1.0015}\\ \\A_b=1.003A_b[/tex]

Plan B is the better plan, it is greater by a factor of 1.003

Answer:

Step-by-step explanation:

we can write sin(3x+10)= cos{90-(3x+10)}

now

cosx= cos{90-(3x+10)}

eliminating cos from both sides we get

x=90-3x-10

4x=80

x=20

tan 20=0.364

it can be 40 also  if we take the sin part

Answer:

7=-4(x+7)-3+2x

BODMAS

7=-4x-28-3+2x

7=-2x-31

7+31=-2x

x=38/2

x= -19

Answer:

Simple Interest = 9.75

Total Amount needed to payback = 309.75

Step-by-step explanation:

SI = P x R x T / 100

SI = Simple Interest

P = Principal

R = Rate in years

T = Time

SI = 300 x 1/2 x 6.5 /100

=> SI = 3 x 1/2 x 6.5

=> 1.5 x 6.5

=> 9.75

Total Amount needed to payback = Principal + Simple Interest

=> Total Amount needed to payback = 300 + 9.75

=> Total Amount needed to payback = 309.75

Answer:

Step-by-step explanation:

f(x) = - x² - 6x + 12

To find f(4) substitute the value of x that's 4 into the expression above and solve.

That's

f( 4) = - (4)² - 6(4) + 12

= - 16 - 24 + 12

= - 40 + 12

We have the final answer as

Hope this helps you

Answer:

See below

Step-by-step explanation:

[tex]830040 \\ = (8 \times 100000) + (3 \times 10000) + (4 \times 10) \\ = 8 \times {10}^{5} + 3 \times {10}^{4} + 4 \times {10}^{1} \\ [/tex]