For what value of k will the following linear system have infinitely many solutions?
2a+b=-6, 6a+kb=-18

Answer:

Range = 7

Mean = 7.75

Assumption: Most students will have 7 or 10 letters in their last name

Step-by-step explanation:

Range = Largest - Smallest

           = 10 - 3

           = 7

Mean = Add the total numbers up to get a total / numbers in the series

          = (3+5+2(6)+2(9)+5(7)+4(8)+5(10)) / (1+1+2+5+4+2+5)

          = 7.75

Step-by-step explanation:

diameterfor first minute :

Circumference = 25.12

2πr = 25.12

22/7 × r = 25.12/2

r = 12.56 × 7 /22

r = 87.92/22

r = 3.99 mm ( approx. )

diameter = 2r = 2 × 3.99 = 7.98 mm

diameter for second minute =

circumference = 75.63

2πr = 75.63

πr = 75.63/2

r = 37.815 × 7/22

r = 264.705/22

r = 12.032 mm

diameter = 2r = 24.064 mm

COMPARISON : 24.064/7.98

3 times greater ( approximately )

Answer:

5/36

Explanation:

Distance on a number line is basically difference between two numbers. So we subtract the two numbers. This can be solved on a calculator btw. 7/12 - √16/81 = 5/36.

Answer:

3.75 feet because that is math

Step-by-step explanation:

7.5 x 0.5

Answer:

3.75

Step-by-step explanation:

7.5 x 0.5 = 3.75

Answer:

bike 2 5 (2,5)

top hat 4 2 (4,2)

ball 4 9 (4,9)

pogo stick 9 9 (9,9)

bear 10 2 (10,2)

Answer:

Step-by-step explanation:

bike 2 5 (2,5)

top hat 4 2 (4,2)

ball 4 9 (4,9)

pogo stick 9 9 (9,9)

bear 10 2 (10,2)

Answer:

41

Step-by-step explanation:

113 = x + 72

subtract 72 from both sides

41 = x  

On number line, the value of fraction is,

⇒ - 13/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The number line is shown.

Now,

The value of number represent on number line is,

⇒ - 3.25

⇒ - 325/100

⇒ -65/20

⇒ - 13/4

Thus, On number line, the value of fraction is,

⇒ - 13/4

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ7

Answer:

She is short on money

Step-by-step explanation:

1000 x 2% = 20

20 x 8 = 160

1000 + 160 = 1160

She is $340 short

5. r×2×pi

7km×2×pi=43.98km

6. d×pi

20cm×pi=62.83cm

7. d×pi

8.5m×pi=26.70m

8. r×2×pi

11yd×2×pi=69.12yd

9. d×pi

6(2/5)ft×pi=20.11ft

10. r×2×pi

25in×2×pi= 157.08in

Answer:

The black line has the greater slope.

Step-by-step explanation:

One way to think about which line has the greater slope is to imagine (or draw) a car on top of each line driving from left to right. If the car is driving up a steeper hill then the slope is greater.

To show your work though, starting at the y-intercept on the black line, find another point that you can see well on the line such as (3, 4). To get from the y-intercept to (3,4) go up 2 and right 3 so the slope is 2/3.

For the blue line, find a point that is easy to see such as (2, 3). To get from the y-intercept to (2, 3) go up 1 and right 2 so the slope is 1/2.

(Remember slope is y/x or rise/run)

Since 2/3 is bigger than 1/2, the slope of the black line is greater.

Answer:

48 cubes

Step-by-step explanation:

To begin, we must find the volume of both the cube and the rectangular prism.

The volume of a cube is a side to the 3rd power.

1/3 · 1/3 · 1/3 = 1/27

The volume of a prism is l * w * h.

2/3 · 1 · 8/3 = 16/9

Now, we have the volume of a cube and the prism. Since we have the find how many cubes can fit into the prism, we must divide 16/9 by 1/27.

16/9 ÷ 1/27 = 16/9 · 27/1 = 432/9 = 48/1 = 48

Therefore, 48 cubes will fit into the prism.

Answer:

heya! ^^

given ,

★ diameter of cylinder = 2 inches

[tex]\therefore \: radius = \frac{2}{2} = 1 \: inch \\ [/tex]

★ height of cylinder = 21 inches

______________________________________

[tex]surface \: area \: of \: cylinder = 2\pi \: r(r + h) \\ \\ \dashrightarrow \: 2 \times 3.14 \times 1(1 + 21) \\ \\ \dashrightarrow \: 2 \times 3.14 \times 22 \\ \\ \dashrightarrow \: 3.14 \times 44 \\ \\ \dashrightarrow \: 138.16 \: inches {}^{2} [/tex]

hope helpful :D

Answer:

The volume is 12!

Step-by-step explanation:

Please let me know if im correct or not! but i belive i am.

Answer:

12in³

Step-by-step explanation:

V = (B * h) / 3, where B is the area of the base and h is the height.

The base is a rectangle, so it's easy to find it's area:

B = 3 * 2 = 6

Now just find the volume:

V = (6 * 6) / 3 = 36 / 3 = 12in³

Answer:

150Ft^2

Step-by-step explanation:

The area of a parallelogram is A=BH where B is base length and H is height. I'm not sure why there is information about a triangular base, maybe an illustration would help. But with the information provided, the base times  height is equal to 150 Ft^2. Check out the Kahn Academy video for a better explanation  

Answer:

389 feet away....about a block !

Step-by-step explanation:

If 0ne foot = 2.389x 10^5   miles

  2.389x10^5 miles / 'foot'

find the number of 'feet' to the sun for the model

   9.296 x 10^7  miles  / 2.389 x 10^5  miles/'foot'  = ~~389 feet  !!

Answer:

{(1,2) (3,4) (5,6)} and {(1,2) (1,4) (5,6)}

Step-by-step explanation:

you really want to think of a function as a vending machine. if you press B12 on a vending machine because thats where the chips are, only the chips should come out. in a function, the input value aka x (B12, what youre putting in) should only have one output value aka y, (the chips)

an example of a function would be {(1,2) (3,4) (5,6)}

an important thing to remember is that one output value can belong to multiple input values. there can be chips (output) in both B12 and C12 (inputs) BUT as i said before, there CANNOT be two outputs for one input. B12 cannot give you both chips and a drink.

using this, another example of a function would be {(1,2) (3,2) (5,2)}

an example of an non function would be {(1,2) (1,4) (5,6)} because x, the input value, has multiple output values which is not possible. the output of 1 can not be 2 and 4 at the same time which we can see in the (x,y) coordinates.

9 * 25 = 225

225 - 6 = 219

There are 219 chairs left.

Answer:

219 Chairs are left.

Step-by-step explanation:

[tex]\rightarrow[/tex] Each row has 25 chairs. And there are total 9 rows.

So, total number of chairs = 25×9

= 225

➾ Workers removed 6 chairs, so left number of chairs = 225-6

= 219 chairs.

____________________________________

Hope it helps you:)

Answer:

27.778, so 5 significant digits

Step-by-step explanation:

Answer:

[tex]I~am~here![/tex]

5:14

This is the simplest form of all the fruits added together, being compared to peaches.

Answer:

Step-by-step explanation:

Q1

x+68+41=180

x+109=180

x=180-109

x=71

Q2

x+47+16=180

x+63=180

x=180-63

x=117

Answer:

1/4 or 2/8

Step-by-step explanation:

2/8  because you need to multiply by 2 witch 1/8 x 2 = 2/8 which is equal to 1/4

Answer:

1/4

Step-by-step explanation:

if 1/2 a cup requires an eighth of the sugar one batch will require two eighths, which is a quarter :1/8+1/8=2/8 which is 1/4

[tex]\dfrac 34(5a-16) - \dfrac 13(6a-3)\\\\=\dfrac{15a}4 - \dfrac{48}4 - 2a + 1\\\\=\dfrac{15a}4 -12-2a+1\\\\=\dfrac{15a}4 -2a -11\\\\=\dfrac{15a-8a-44}{4}\\\\=\dfrac{7a-44}4[/tex]

Answer:

1.75a - 11

Step-by-step explanation:

Remember your order of operations, first you want to start inside the parantheses. Nothing can be simplified there so move on to multiplication.

Distribute (mutiply) ¾ with (5a - 16) as well as -⅓ with (6a - 3) to get

3.75a - 12 - 2a + 1

Combine like terms, so 3.75 with -2a as well as -12 with 1.

1.75a - 11

Which you could also write as

⁷⁄₄a - 11 or 1¾a - 11

Answer:

There are no common factor between the two or its just 1.

Explanation

Factors for 39: 1, 3, 13, and 39.

Factors for 44: 1, 2, 4, 11, 22, and 44.

Answer:As you can see when you list out the factors of each number, 1 is the greatest number that 39 and 44 divides into.

Step-by-step explanation:

Answer:

its the first option on the paper

Answer:

PRQ was translated 90 degrees clockwise.

If (6,-54) is located in q4 (+,-) and rotated to land on (-6,-54) which is in q3 then it was rotated 90 degrees clockwise.

Step-by-step explanation:

Answer:

if this is area than

1- 55

2- 28

3-  48

4- 84

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

if you count every square it's 15 and you can see there is 5 rows. 5/15 is simplified to 1/3.