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mote1985 [20]
3 years ago
9

Adam cut a piece of string 42 inches long into 2 pieces. The ratio of the length of the 2 peices is 3:4, what is the length, to

the nearest inch, of the shorter piece
Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

Shorter piece length is 18 inches

Step-by-step explanation:

Let's marked first piece with x and second with y

x + y = 42

Given ratio is x : y = 3 : 4

From this proportion we get

x = 3 c  and y = 4 c   where c is coefficient of proportionality

when we replace this in initial equation we get

3 c + 4 c = 42 => 7 c = 42 => c = 42/7 = 6    c = 6

x = 3 · 6 = 18 inches  and z = 4 · 6 = 24 inches

shorter piece is x = 18 inches

God with you!!!

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Which phrases can be used to represent the inequality 6.5x+1.5<21? Select two options.
guapka [62]

Answer:

Phrases 2 and 4.

Step-by-step explanation:

6.5x+1.5<21

The sum of 1.5 and the product of 6.5 and a number is no greater than 21.

The product of 6.5 and a number, when increased by 1.5 is at most 21.

HOPE IT HELPS

(FROM CROSS)

6 0
3 years ago
Automobile license plates for a state consist of four letters followed by a dash and two single digits. How many different licen
Sauron [17]

The number of different license plate combinations that are possible if exactly one letter is repeated exactly once, but digits cannot be repeated is 8,424,000.

<h3>What is combination?</h3>

A combination is just a mathematical technique for determining the number of potential arrangements in a set of objects where the order of a selection is irrelevant.

You can choose the components in any order in combinations. Permutations and combinations are often mistaken.

Now according to the question,

Possible letter combinations

Choose any letter and make it a repeat letter = 26 ways

But, there are ⁴C₂ = 6 spots available for the identical letters.

And there are (25)×(24) other methods for selecting the other two letters.

The total amount of "words" equals ⁴C₂ × 26 × 25 × 24 = 93600.

Furthermore, because the numerals cannot be repeated = 10 × 9 = 90

So, the total number of choices = 93600 × 90 = 8,424,000

Therefore, the total combinations in which the letters can be chosen for the license plates is  8,424,000.

To know more about the combination, here

brainly.com/question/11732255

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4 0
1 year ago
Please Help!! I will give brainliest to the quick and correct answer
klio [65]

Answer:

The correct option is the graph on the bottom right whose screen grab is attached (please find)

Step-by-step explanation:

The information given are;

The required model height for the designed clothes should be less than or equal to 5 feet 10 inches

The equation for the variance in height is of the straight line form;

y = m·x + c

Where x is the height  in inches

Given that the maximum height allowable is 70 inches, when x = 0 we have;

y = m·0 + c = 70

Therefore, c = 70

Also when the variance = 0 the maximum height should be 70 which gives the x and y-intercepts as 70 and 70 respectively such that m = 1

The equation becomes;

y ≤ x + 70

Also when x > 70, we have y ≤ \mid-x + 70\mid   with a slope of -1

To graph an inequality, we shade the area of interest which in this case of ≤ is on the lower side of the solid line and the graph that can be used to determine the possible variance levels that would result in an acceptable height is the bottom right inequality  graph.

6 0
3 years ago
HELP ME PLEASE!!!!!!!!
garri49 [273]

Perimeter is adding all the outside dimensions. The left side of the shoae is a rectangle, so the bottom line is the same as the top line, 10 feet.


Perimeter = 8 + 10 + 8.9 + 10 + 4 = 40.9 ft.


4 0
3 years ago
Suppose that the weights of 5400 Labrador retrievers in the US is distributed normally with a mean of 62.5lb and a standard devi
swat32
I have the same question! have you figured it out ??
3 0
3 years ago
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