Assume y varies jointly with x and z. If y = 12 when x = 2 and z = 4, find x when y = 9 and z =6.

Answer:

y = x + 3

Step-by-step explanation:

Equation of the line can be written as y = mx + b (slope-intercept form)

Let's find the slope (m) and the y-intercept (b)

Slope (m) = change in y/change in x

Using two points on the line, (0, 3) and (1, 4),

Slope (m) = (4 - 3)/(1 - 0) = 1/1

m = 1

y-intercept (b) = 3 (the coordinate of the point where the y-axis is intercepted by ye line)

To write the equation, substitute m = 1 and b = 3 into y = mx + b

y = 1(x) + 3

y = x + 3

9514 1404 393

Answer:

  D  (53π)/180

Step-by-step explanation:

There are π/180 radians in 1 degree, so in 53°, there are ...

  53(π/180) radians = (53π)/180 radians

The finance charge payed by Jamal is $28.43.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Amount borrowed by Jamal for nine months = $316

His monthly payment = $38.27

Total amount payed by Jamal for nine months = [tex]9(38.27)[/tex]

⇒ [tex]\$344.43[/tex]

Thus his finance charge = [tex]344.43-316[/tex]

⇒ [tex]\$28.43[/tex]

Hence we can conclude that the finance charge payed by Jamal is $28.43.

Learn more about word problems here

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Answer:

87

Step-by-step explanation:

87 x 11= 946

946-88-79-83=696

696/8 = 87

14 is the asnwer because sqaure root of 200 is 14.14213562 and if you round that it is 14

Answer:

V = r(40 - 3πr²)/2

Step-by-step explanation:

We know the area of a cylinder, A = 2πr² + 2πrh where r = radius and h = height.

Now, 2πr² = area of top and bottom and 2πrh = curved surface area

Since the cost of material for the top and bottom is 3 cents per square inch, the total cost of the materials for top and bottom = cost of material × area = 3 × 2πr² = 6πr²

Also, the cost of material for the curved is 2 cents per square inch, the total cost of the materials for the curved side = cost of material × area = 2 × 2πrh = 4πrh

The total cost of material = 6πr² + 4πrh

Since the total cost of material = 80 cents,

6πr² + 4πrh = 80

3πr² + 2πrh = 40  (1)

Now, the volume of a cylinder, V = πr²h

From (1), making h subject of the formula, we have

3πr² + 2πrh = 40  

2πrh = 40 - 3πr²  

h = (40 - 3πr²)/2πr

Substituting h into V, we have

V = πr²h

V = πr² (40 - 3πr²)/2πr

V = r(40 - 3πr²)/2

what is the probability that the third spinner lands on a perfect square or a gray space?

6/12 or 1/2

Answer:

There are 6 gray spaces (12, 2, 4, 6, 8, 10) and 3 perfect squares (4, 9, 1). However, 4 is repetitive (it is gray and a perfect square) so there are only 8 we want. There are 12 numbers/spaces in total. The probability formula is (# of desired outcomes)/(# of total outcomes). In this case, there are 8 desired outcomes and 12 total outcomes. So, our answer is 8/12, or 2/3.  

Step-by-step explanation:

S+T+U=180°{sum of angle of triangle}

sin theta= p/h

sin22°=x/83

o.37=x/83

x=0.37×83

x=30.71

x=31

stay safe healthy and happy.

Answer:

$3+x is less than or equal to $15

Step-by-step explanation:

I can't write the sign but it's < with a line under it

Step-by-step explanation:

y≥15-3

I am not sure

Answer:

1/16 or 0.0625

Step-by-step explanation:

There are two numbers on the chart that are divisible by 3.

So the odds of spinning and getting one of those on the first try would be 2/8 or 1/4.

The odds are then multiplied by the chance of spinning it again on the second try, which would still be 1/4.

To get: 1/16

Answer:naneeeeee

Step-by-step explanation:

Answer:

1.6 * 10^{-8}

Step-by-step explanation:

Given the following data;

Time = 0.000000016 nanoseconds

To express in standard scientific notation;

Scientific notation is a standard way of expressing very large numbers in powers of 10.

0.000000016 nanoseconds = 1.6 * 10^{-8} nanoseconds.

Note: count the number of zeros (0s) before 1 and write it to the power of 10.

Answer:

the correct answers are 1.6E-8 and 1.6 × 10-8

Answer:

c the answer is c

Step-by-step explanation:

Answer:

C

I hope this helps

Answer:

500

Step-by-step explanation:

(11-3)^3-2x6

first evaluate 11-3-->8

then cube it-->8^3=512

then multiply 2x6-->12

then subtract the two-->512-12=500

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textsf{Just do PEMDAS}[/tex]

[tex]\huge\textsf{Parentheses}[/tex]

[tex]\huge\textsf{Exponents}[/tex]

[tex]\huge\textsf{Multiplication}[/tex]

[tex]\huge\textsf{Division}[/tex]

[tex]\huge\textsf{Addition}[/tex]

[tex]\huge\textsf{Subtraction}[/tex]

[tex]\mathsf{(11 - 8)^3 - 2\times 6}[/tex]

[tex]\mathsf{11 - 8 = \boxed{\bf 3}}[/tex]

[tex]\mathsf{3^3 - 2 \times 6}[/tex]

[tex]\mathsf{3^3 = 3\times 3\times 3 = 9\times 3 = \boxed{\bf 27}}[/tex]

[tex]\mathsf{27 - 2 \times6 }[/tex]

[tex]\mathsf{2\times 6 = \boxed{\bf 12}}[/tex]

[tex]\mathsf{27 - 12}[/tex]

[tex]\boxed{\mathsf{\bf= 15}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 15}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

B=(-3, -5)

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

Plugging in the two points.

(2,5). y=mx+b or 5=0 × 2+b, or solving for b: b=5-(0)(2). b=5.

(0,5). y=mx+b or 5=0 × 0+b, or solving for b: b=5-(0)(0). b=5.

Hence, equals to y=5

Answer:

  2i[tex]\sqrt{7}[/tex],-2i[tex]\sqrt{7}[/tex]

Answer:

4

Step-by-step explanation:

i hope this helped :]

Answer:

90

Step-by-step explanation:

6×25= 150

17×5= 85

150+85= 235

the answer is 235 :3

Answer:

Pyramid Surface Area = .5 * Perim of Base * Slant Height

Slant Height^2 = 144^2 + 140^2

Slant Height^2 = 20,736 + 19,600

Slant Height^2 = 40,336

Slant Height = 200.8382433701

Surface Area = .5 * perim of base * slant height

Surface Area = .5 * 1,200 * 200.8382433701

Surface Area = 120,503 square meters

Source = www.1728.org/volpyrmd.com

Step-by-step explanation:

Answer:

Step-by-step explanation:

X is also 67°  Like the interior angle

Answer:

7k+7

41

Step-by-step explanation:

Distribute the 7 -

7(k+1)

7 * k = 7k

7*1 = 7

so 7k + 1

Insert 3 instead of x, so it reads -

[tex]5[/tex][tex](3)^{2}[/tex] - 4

[tex]3^{2} = 9[/tex]

9 * 5 = 45

45 - 4 = 41

Answer: - 3/2

Step-by-step explanation:

Use this formula to find the slope for any two given points.

(4, 3) and (6, 0)

↓   ↓            ↓  ↓

x1  y1           x2 y2

y2 - y1     0 - 3      

--------- = ---------- = -3/2

x2 - x1      6 - 4

Hope this helped! :)

Answer:

4

Step-by-step explanation:

2 out of 5 play so if there is 10 students 10*2/5 = 4 students

Answer:

4 students would play soccer

Step-by-step explanation:

To make the total students 10 instead of 5 we multiply the information by 2. 2/5 times 2 equals 4/10. So 4 out of 10 studento play soccer

Answer:

C) 120,000

Step-by-step explanation:

Let's use fractions.

7800 = x

---------- -------- . 325 5000 What we are going to do is multiply 325 times x and 7800 times 5000 . 7800 times 5000 equals 39,000,000. 325 times x equals 325x. The reason why we put the info this way is because we are trying to find the profit for a certain number of products . If we were trying the number of products we would put 5000 on top and the x on the bottom of the fraction the n croos multiply but this is not the case.

39,000,000 = 325x

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

325 325

Next, we are going to divide 325 on both sides to get x ( in this case x equals the answer) by itself.

39,000,000 /325 = 120,000

325x / 325 = x

x = 120,000