Which statement is true about this equation? -9(x + 3) + 12 = -3(2x + 5) − 3x

Answer:

4. 8 5/12

Step-by-step explanation:

4 2/3 + 3 3/4 =

= 4 + 2/3 + 3 + 3/4

= 4 + 3 + 8/12 + 9/12

= 7 + 17/12

= 7 + 12/12 + 5/12

= 7 + 1 + 5/12

= 8 5/12

Answer:

-3 , 9

Step-by-step explanation:

Sum = - 6

Product = -27

Factors = 3, -9

x² - 6x-27 = 0

x² + 3x - 9x - 9*3 = 0

x(x + 3) - 9(x + 3)  = 0

(x + 3) (x - 9) = 0

x +3 = 0   ; x - 9 = 0

x = - 3     ; x = 9

Solution: x = -3 , 9

The pizza is cut into 6 slices so each slice would be 1/6 of the pizza.

He at 1/2 of a slice:

1/6 x 1/2 = 1/12 of the pizza

Answer:

See step-by-step explanation.

Step-by-step explanation:

Part 1: Use the law of cosines to find the measure of angle B:

Law of cosines: c^2 = a2 + b2 − 2ab cos(C)

In this case, you're finding b, so b is basically c.

b^2 = a2 + c2 − 2ab cos(b)

b=21 a=22 c=16 (just for now)

21^2 = 22^2+16^2- 2(22)(16) cos (b)

441= 484 + 256 - 704 cos(b)

Measure of angle B=  64.8673

Part 2: Use the law of sines to find the measure of angle C

[tex]\frac{a}{sin (A)}[/tex] =[tex]\frac{b}{sin (B)}[/tex]=[tex]\frac{c}{sin(C)}[/tex]

Using angle b and sides b and c: 43.6121

21/ sin ( 64.8673) = 16/ sin(C)

Measure of angle C = 43.6121

Part 3: Find the measure of angle A

1. The angles in a triangle add up 180.

m<A+m<B+m<C=180

m<A+64.8673 + 43.6121 =180

Measure of angle A=71.5206

Page 2

Part 1:  Find the measure of angle B

The angles in a triangle add up 180.

m<A+m<B+m<C=180.

42+ m<B+83=180

Measure of angle B= 55 degrees

Part 2: Use the law of sines to find the length of side a

[tex]\frac{a}{sin (A)}[/tex] =[tex]\frac{b}{sin (B)}[/tex]=[tex]\frac{c}{sin(C)}[/tex]

Length of side a = [tex]\frac{b sin(A)}{sin (B)}[/tex] =[tex]\frac{175 sin(42)}{sin (55)}[/tex]

The length of side a: 142.95

Part 3: Use any method to find the length of side c.

Method= brainpower

aka law of sines:

[tex]c=\frac{a sin (C)}{sin A}[/tex] = [tex]\frac{142.95sin(83)}{sin(42)}[/tex]

c= 212.043

The length of side c: 212.043

Answer:

  sum: 2 6/7

Step-by-step explanation:

The first term is 2, and the common ratio is 0.6/2 = 0.3. This value is less than 1, so the series converges.

The sum is ...

  S = a0/(1 -r) = 2/(1 -0.3) = 2/0.7

  S = 2 6/7

Hey there! :)

Answer:

(g-f)(10) = 279/10.

Step-by-step explanation:

Given:

[tex]f(x) = x^{-1}[/tex]

and

[tex]g(x) = 2x + 8[/tex]

Begin by solving for (g-f) by subtracting f(x) from g(x):

[tex](g-f)(x) = 2x + 8 - x^{-1}[/tex]

Substitute in 10 for x in the equation to solve this problem:

[tex](g-f)(10) = 2(10) + 8 - 10^{-1}[/tex]

Simplify:

[tex](g-f)(10) = 20 + 8 - \frac{1}{10}[/tex]

Create a common denominator to simplify further:

[tex](g-f)(10) = \frac{200}{10}+ \frac{80}{10} - \frac{1}{10}[/tex]

[tex](g-f)(10) = \frac{279}{10}[/tex]

Therefore:

(g-f)(10) = 279/10.

Answer:

√6

Step-by-step explanation:

√6 = 2.44948974278...

The number never ends and the values don't repeat therefore, the correct answer is √6.

Hope this helps! :)

Answer:

B. The square root of 5

Step-by-step explanation:

You can only square root a number that can be the answer to an equation like x*x=5, which it is not.

Answer:

its 3:4

Hope this helps! :)

The ratio is 3:4  and the number of circle need is 3.

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.

Here, from the given picture, we get that,

No. of circles = 9

No. of triangles = 12

So, required ratio = 9:12

                             =3:4

Now, Let, x circles are needed to make ratio 1:1

i.e. 9+x:12=1:1

9+x=12

x=3

Hence, The ratio is 3:4  and the number of circle need is 3.

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Answer:

x = 12

y = 12

Step-by-step explanation:

Each triangle is a right angle triangle

5² + x² = 13²

x² = 169 - 25

x = √144

x = 12

The shape is a parallelogram

Therefore

x = y

y = 12

Answer:

  x ≈ 48.3177

Step-by-step explanation:

This is what logarithms are for (among other things).

  log(1.1^x) = log(100)

  x·log(1.1) = 2

  x = 2/log(1.1) ≈ 48.3177

Answer:  16y² - x²

Step-by-step explanation:  The - sign means a difference, so the choices with + signs are eliminated (though 64x² and 9 are squares)

10 is not a square so that one is eliminated (though the y² and the 4x² are squares)

16 is the square of 4, y² is the square of y, and x² is the square. That expression shows a difference of squares.

Answer:

[tex]9.9-2.14\frac{0.30}{\sqrt{15}}=9.734[/tex]    

[tex]9.9+2.14\frac{0.30}{\sqrt{15}}=10.066[/tex]    

Step-by-step explanation:

Information given

[tex]\bar X= 9.9[/tex] represent the sample mean

[tex]\mu[/tex] population mean (variable of interest)

s=0.3 represent the sample standard deviation

n=15 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom are given by:

[tex]df=n-1=15-1=14[/tex]

Since the Confidence is 0.95 or 95%, the value of [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], and the critical value wuld be [tex]t_{\alpha/2}=2.14[/tex]

Now we have everything in order to replace into formula (1):

[tex]9.9-2.14\frac{0.30}{\sqrt{15}}=9.734[/tex]    

[tex]9.9+2.14\frac{0.30}{\sqrt{15}}=10.066[/tex]    

Answer:

Option B. is the right choice.

Step-by-step explanation:

f(-3) = 3  and f(3) = 5   (First and the last column of table B)

Best Regards!

Answer:

10/91

Step-by-step explanation:

Number of Red balls = 4

Number of Yellow balls = 3

Number of green balls=7

Total=4+3+7=14

If we pick three balls of the same color, there are three possibilities: (All Red, All Green Or all Yellow).

Therefore:

The probability that all three balls are the same color (note that the selections are without replacement)

=P(RRR)+P(GGG)+P(YYY)

[tex]=(\frac{4}{14} \times \frac{3}{13} \times \frac{2}{12})+(\frac{3}{14} \times \frac{2}{13} \times \frac{1}{12})+(\frac{7}{14} \times \frac{6}{13} \times \frac{5}{12})\\\\=\frac{1}{91} + \frac{1}{364}+ \frac{5}{52}\\\\=\frac{10}{91}[/tex]

The probability that all three balls are the same color is 10/91.

Answer:

x=1, y=1

Step-by-step explanation:

To solve the equations, we first have to label them.

4x +6y= 10 -----(1)

-10x +2y= -8 -----(2)

From (1): 2x +3y= 5 -----(3)

From (2):

-5x +y= -4

y= 5x -4 -----(4)

Subst. (4) into (3):

2x +3(5x -4)= 5

2x +15x -12= 5 (expand)

17x= 12 +5 (simplify, +12 on both sides)

17x= 17 (simplify)

x= 17 ÷17

x= 1

subst. x=1 into (4):

y= 5(1) -4

y= 5 -4

y= 1

Answer:

C

Step-by-step explanation:

C is the solution

Answer:

Option C

Step-by-step explanation:

The graph is a horizontal translation 4 units left and a vertical translation 2 units down ⇒ y= |x+4|-2

Answer:

The length of the fence is 6.28x-150 cm.

Step-by-step explanation:

Let the circular pool has the radius (r ) = x cm.

Since the pool is in a circular shape so the circumference will be the length of the fence. Moreover, there is a 150cm wide so we have to subtract the 150 cm from the value of circumference in order to get the actual length of the fence.

Length of fence  = Circumference of the pool – width of the gate.

Length of fence = 2 π r – 150

Length of fence = 2 × 3.14 × x – 150

Length of fence = 6.28x – 150 cm.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

So, here they said: Jack's scores in five successive rounds were 25,-5,-10..

Then, you should add his grades to know what's his score..

25 - 5 - 10 = 25 - 15 = 10

His total at the end is

Hope this helps you.. Good Luck

Answer:

Total annual inventory cost = $480

c) 480

Step-by-step explanation:

given data

annual demand for the oil filter = 1200 units

ordering cost per order S = $80

holding cost of carrying 1 unit = $1.2 per year

lead time = 12 working days

number of working days = 360 days

solution

we get here economic order quantity that is express as

economic order quantity = [tex]\sqrt{\frac{2DS}{H}}[/tex]    ...............1

here D is annual demand and S is ordering cost and H is per unit cost

so put here value and we get

EOQ = [tex]\sqrt{\frac{2\times 1200 \times 80}{1.2}}[/tex]  

EOQ = 400 units

and

Annual ordering cost = annual demand × ordering cost ÷ order size   .........2

and here

No orders (Q) = annual demand ÷ order size   ...........3

Q =  1200 ÷ 400

Q = 3 orders

so

Annual ordering cost = ordering cost × number of order  ................4

put here value

Annual ordering cost = 80 × 3

Annual ordering cost = $240

and

Annual carrying cost = average inventory × per unit cost    ..........5

and

average inventory = EOQ ÷ 2        ...........6

Annual carrying cost = (EOQ × H) ÷ 2

put here value and we get

Annual carrying cost = 400 × 1.2  ÷ 2

Annual carrying cost = $240

and

so here Total annual inventory cost = Annual ordering cost + Annual carrying cost    .........................7

Total annual inventory cost = $240 + $240)

Total annual inventory cost = $480

Answer:

60

Step-by-step explanation:

If the price is 30% off, you pay 70% of the price

Let x be the original price

.70x = sale price

.70x = 42

Divide each side by .7

.70x/.7 = 42/.7

x =60

The original price is 60

Answer: $ 60

Step-by-step explanation:

42 = x (1 - .3)

42 = .7 x

42/.7 = x

X = 60

Answer:

4d + 6

Step-by-step explanation:

Helen ate d donuts.

Andrea ate 6 more than 4 times d.

4d + 6

Answer:

25.02% probability that exactly 19 men and 18 women are chosen

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the men and the women are selected is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

19 men, from a set of 25

18 women, from a set of 22

[tex]D = C_{25,19}*C_{22,18} = \frac{25!}{19!6!}*\frac{22!}{18!4!} = 1295486500[/tex]

Total outcomes:

37 people from a set of 25 + 22 = 47. So

[tex]T = C_{47,37} = \frac{47!}{37!10!} = 5178066751[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1295486500}{5178066751} = 0.2502[/tex]

25.02% probability that exactly 19 men and 18 women are chosen

Step-by-step explanation:

Frequency of a mass-spring system is:

f = √(k/m) / (2π)

Given f = 2/π Hz and m = 20 kg:

2/π Hz = √(k / 20 kg) / (2π)

4 Hz = √(k / 20 kg)

16 s⁻² = k / 20 kg

k = 320 kg/s²

k = 320 N/m

If the 20 kg mass is replaced with an 80 kg mass, the frequency is:

f = √(320 kg/s² / 80 kg) / (2π)

f = √(4 s⁻²) / (2π)

f = 2 Hz / (2π)

f = 1/π Hz

The sprint constant is 320 N/m

And, the frequency is [tex]1\div \pi Hz[/tex]

Since A 20-kilogram mass is attached to a spring. And, the frequency of simple harmonic motion is 2/p cycles/s.

Now we know that

[tex]f = \sqrt (k\div m) \div (2\pi)[/tex]

Here

[tex]f = 2\div \pi Hz[/tex]

and m = 20 kg:

So,

[tex]2\div \pi Hz = \sqrt (k \div 20 kg) / (2\pi)\\\\4 Hz = \sqrt(k \div 20 kg)\\\\16 s^{-2} = k \div 20 kg[/tex]

k = 320 kg/s²

k = 320 N/m

Now the frequency is:

[tex]f = \sqrt(320 kg/s^2 \div 80 kg) \div (2\pi)\\\\f = √(4 s^{-2}) \div (2\pi )\\\\f = 2 Hz \div (2\pi)[/tex]

[tex]f = 1\div \pi Hz[/tex]

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Answer:

74x + 35y = c

Step-by-step explanation:

Each adult ticket costs $74 and Pablo is purchasing x amount of tickets, so 74 multiplied by x would be the total cost for the adult tickets. Each youth ticket costs $35 and Pablo is puchasing y amount of tickets, so 35 multiplied by y would be the total cost for youth tickets. Then you add the two sums together to find the total cost of all of the tickets.

Answer:

d. C = 74x + 35y

Step-by-step explanation:

I took the test and got the answer right here is the screen shoot  to prove it

Answer:

3lbs

Step-by-step explanation:

Answer:

a{(1, 3), (2, 3), (4,3), (9,3)}

Step-by-step explanation:

For the relation to be a function, each x can only go to 1 y

a{(1, 3), (2, 3), (4,3), (9,3)}

function

b{(1, 2), (1, 3), (1, 4), (1,5)}

x=1 goes to 4 different y's so not a function

c{(5, 4), (-6, 5), (4, 5), (4, 0)}

x=4 goes to 2 different y's so not a function

d{(6,-1), (1,4), (2, 3), (6, 1)}​

x = 6 goes to 2 different y's so not a function

The published data refers to the government census info being published online. She did not do an observational study because she didn't go to each household herself (rather let the census workers do that task).

The data is quantitative because she is looking at the number of people living in homes in her city. Quantitative data is simply dealing with quantities or numbers. Contrast this with qualitative data that talks about something like color choice.

Answer:

D: Kira used published data that is quantitative.

Step-by-step explanation:

edg2020

Quantitative means regarding numbers and facts. How many people live in homes in her city is a factual number that is quantitative data. What color shirt they are all wearing is qualitative.. Its not an observational study at all either, so A and B are false

Answer:

5

Step-by-step explanation:

Answer:

[tex]\frac{2}{12}[/tex] simplified to [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

4 = [tex]\frac{1}{12}[/tex]

2 = [tex]\frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] + [tex]\frac{1}{12}[/tex] = [tex]\frac{2}{12}[/tex] ÷ 2 = [tex]\frac{1}{6}[/tex]