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Sliva [168]
3 years ago
7

Two and four tenths times a number minus three is greater than one and six tenths times the number minus four and one tenth

Mathematics
1 answer:
diamong [38]3 years ago
8 0

Let's first turn all the words into numbers:

Two and four tenths = 2.4

One and six tenths = 1.6

Four and one tenth = 4.1

Now lets represent "a number" as x.

Then translate the wording into a linear equation:

2.4x-3>1.6x-4.1

Simplify and isolate the variable:

0.8x>-1.1

Divide by 0.8

x>1.375 or x>1 3/8

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Answer:

36 black socks

Step-by-step explanation:

white socks: black socks

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1*12 : 3*12

12:36

We have 36 black socks

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Describe how k affects the graph of the function f(x)= -3/5(10)^x
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2 years ago
B is 30 more than a. B is 6 times as many as a. What is the value of a and b ?
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A group of students auditioned for a theater performance and 3/4 of the group less six students made up the cast of 42 students.
LenKa [72]

Answer:

3/4x-6=42

x=64

Step-by-step explanation:

Let the number of students be x hence 3/4 of this number will be 3/4x

Since the number was 42 if they were 3/4x less six, it means minus six hence

3/4x-6=42

Therefore, the equation will be

3/4x-6=42

Solving the equation

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X=62

8 0
3 years ago
I need the answer to a and b
erica [24]

Answer:

a. x = 7

b. x = 36/5

Step-by-step explanation:

<u>Points to remember</u>

The ratio of of corresponding sides of similar triangles are equal.

<u>a). To find the value of x</u>

From the figure 1 we get two similar triangles, ΔABC and ADE

We can write,

AB/AD = AC/AE

3/6 = x/(x + 7)

3(x + 7) = 6 * x

3x + 21 = 6x

6x - 3x = 21

3x = 21

x = 21/3 = 7

<u>b). To find the value of x</u>

From the figure b we get

ΔABC ~  ΔEDF

AB/DE = BC/DF

4/5 = x/9

x = (4 * 9)/5 = 36/5

7 0
3 years ago
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