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a_sh-v [17]
2 years ago
10

Which is the graph of the step function f(x)? f(x) = StartLayout Enlarged left-brace 1st row 1st column negative 1 2nd column x

less-than negative 1 2nd row 1st column 0 2nd column negative 1 less-than-or-equal-to x less-than-or-equal-to 1 3rd row 1st column 1 2nd column x greater-than 1 EndLayout

Mathematics
1 answer:
Andrews [41]2 years ago
5 0

Answer:

its B

Step-by-step explanation: just took test

You might be interested in
Sara, Mark and Caroline share £102 in a ratio 1:3:2. How much money does each person get?
V125BC [204]

Answer:

Sara- 17

Mark- 51

Caroline- 34

Step-by-step explanation:

1) start by adding the ratios together, so 1+3+2= 6. Due to the order of the ratio, Sara, gets 1 art of the money, Mark gets 3 parts and Caroline get 2 parts.

2) take the total amount of money (102) and divide it by (1+3+2). 102/6 is 17.

3) divide the money by the amount each person gets. Sara only has one part, so she has £17, Mark gets 3 parts so he gets £51, and Caroline gets 2 parts, so she ends up with £34.

4) do 17+34+51 to check it equals 102. ( it does ;D)

5 0
2 years ago
Dan is fourteen years older than Marge. Eight years ago, Dan was three times as old as Marge. Find their present age.
34kurt

Answer:

<u>Marge's</u> present age = 14 ; <u>Dan's</u> present age = 29

Step-by-step explanation:

  • Present age

Let Marge's present age be = M

Dan's present age [D] : 14 years elder than Marge = M + 14

  • 8 years ago  

Marge Age = M - 8

Dan's Age = D - 8 = (M + 14) - 8 = M + 6  

{Given} : Dan's age = 3 times Marge's age

M + 6 = 3 (M - 8)

M + 6 = 3M - 24

6 + 24 = 3M - M

30 = 2M

M = 30/2

M = 15 [Marge's present age]

Dan's present age [D] = M + 14 = 29

5 0
2 years ago
If a lot contains 48,000 square feet and is 240' wide, how deep is the lot?
lisabon 2012 [21]
We would assume the lot takes a rectangular shape. With that in mind. the area of the rectangular plot is 48, 000 and its width is 240. We only need to know the area of a rectangle which is L * W.  
So 48, 000 = L * 240 
L = 48, 000/ 240  
L = 200 
It is 200 square feet deep.
6 0
2 years ago
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs th
Delvig [45]

Answer: Rectangular container is preferred to minimize the costs and  there are 142 rectangular container is needed to pack 6400 candles.

Explanation:

Since we have given that

Number of candles in a rectangular container = 45

Number of candles in a cylindrical container = 41

Cost of each rectangular container = $15

Cost of each cylinder container = $16

That means ,

In case of rectangular container,

Cost of 45 candles = $15

Cost of 1 candle is given by

\frac{15}{45}=\frac{1}{3}=\$0.33

Similarly,

In case of cylindrical container,

Cost of 41 candles = $16

Cost of 1 candle is given by

\frac{16}{41}=\$0.39

So, if the company needs to package 6,400 candles , it should use <u>rectangular containers </u>to minimize costs.

Number of candle he need to pack = 6400

Number of rectangular container for 6400 candles is given by

\frac{6400}{45}=142.2=142\ approximately.

Hence, there are 142 rectangular container is needed to pack 6400 candles.


4 0
2 years ago
Read 2 more answers
If a 10-pound turkey costs $20.42.how much does a 21-pound turkey cost
sergij07 [2.7K]

Answer:

$42.88

Step-by-step explanation:

Let's create a proportion using the following setup:

cost/pounds=cost/pounds

We know that it costs $20.42 for a 10 pound turkey.

$20.42/10 pounds= cost/pounds

We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.

$20.42/ 10 pounds= $x/ 21 pounds

20.42/10=x/21

We want to find x, by getting x by itself.

x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.

21*(20.42/10)=(x/21)*21

21* 20.42/10=x

21*2.042=x

42.882=x

Round to the nearest cent, or hundredth.

42.88=x

x= $42.88

A 21 pound turkey costs $42.88

6 0
2 years ago
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