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s2008m [1.1K]
3 years ago
14

Write these fractions in ascending order. 5/8 3/4 1/2 9/16.

Mathematics
2 answers:
Mandarinka [93]3 years ago
5 0
\frac{5}{8}=\frac{5 \times 2}{8 \times 2}=\frac{10}{16} \\ \\
\frac{3}{4}=\frac{3 \times 4}{4 \times 4}=\frac{12}{16} \\ \\
\frac{1}{2}=\frac{1 \times 8}{2 \times 8}=\frac{8}{16} \\ \\
\frac{9}{16} \\ \\
8

In ascending order:
\boxed{\frac{1}{2}, \frac{9}{16}, \frac{5}{8}, \frac{3}{4}}
vlabodo [156]3 years ago
3 0
\dfrac{5}{8}=\dfrac{10}{16}\\
\dfrac{3}{4}=\dfrac{12}{16}\\
\dfrac{1}{2}=\dfrac{8}{16}\\\\
\Downarrow\\\\
\boxed{\dfrac{1}{2}
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What is the explicit rule for the sequence:<br> 11, 22, 44, 88...
andriy [413]

Answer:

<u>Geometric Progression</u> is the explicit rule for the given sequence: 11, 22, 44, 88...

First term (a) = <u>11</u>

Common ratio (r) = 22/11 = 44/22 = 88/44 = <u>2</u>

Formula used in Geometric Progression is :---

\boxed{a_n = a {r}^{(n - 1)}}✓\\

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3 years ago
Point L is on line segment KM
Anna11 [10]

Answer:

KL = 15

Step-by-step explanation:

Given that,

Point L is on the line segment KM.

We have, KM=5x+10, LM=4x, and KL=3x

ATQ,

KM = KL + LM

Putting all the values, we get :

5x+10=3x+4x

5x+10 = 7x

Taking like terms together

5x-7x=-10

-2x=-10

x=5

Put x = 5 in KL = 3x

KL = 3(5) = 15

So, the value of length KL is 15.

7 0
4 years ago
Edwin needs to buy a car, a truck, and a motorcycle for his shipping business. He wants the car to be red or yellow; the truck t
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We can solve problems like this using multiplication rules. Since the order of colors and combinations does not matter, we can multiply all  values in any order we so choose. In this case, our values are colors and vehicles:

Car: Red, Yellow
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Motorcycle: Green, Blue, Orange

We have 2 options with a car, 3 options with a truck, and 3 options with a motorcycle. Since he wants one of each, we will multiply all of the color options together: 

2 x 3 x 3

= 18

Edwin has 18 different combination of vehicles to choose from.
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The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i
DaniilM [7]

Answer:

The numbers are 7, 4 and 1

Step-by-step explanation:

Let the numbers =x, y, z.

The sum of all three numbers is 12, x+y+z=12--------i

The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii

The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii

Now, from (i),z =1-x-y--------iv

substitute (iv) in (ii),

2x+4y+5(12-x-y)=35

2x+4y+60-5x-5y=35

collect like terms

-3x-y=-25

that is, 3x-y=25--------v

solving (iii) and (v) simultaneously (add iii and v), we have

11x=77

divide both sides by 11 to obtain x=7

Put x=7 in (v)

3(7)+y=25

21+y=25

implies y=25-21=4

put x=7 and y=4 in (iv)

z=12-7-4=1

Hence, the numbers are 7, 4 and 1.

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3 years ago
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