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Anna71 [15]
3 years ago
13

How many counting numbers have three distinct nonzero digits such that the sum of the three digits is 7?​

Mathematics
1 answer:
SOVA2 [1]3 years ago
7 0

Answer:

6

Step-by-step explanation:

You have 2 conditions.

1. The digits must be different.

2. The digits must add to 7.

There aren't very many

124

142

214

241

412

421

That's it. That's your answer. There are 6 of them

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Rewrite the following equation in standard form and determine if there is a solution.
Debora [2.8K]

Answer:

| x + 4 |  = -1    No solution

Step-by-step explanation:

                                                 3 | x + 4 | + 12 = 9

Subtract 12 from both sides:         3 | x + 4 |  = -3

Divide both sides by 3:                     | x + 4 |  = -1

Absolute value cannot be negative, so there is no solution.

5 0
3 years ago
In 8 months, 55.6 gallons were used. Find the unit rate.
OLga [1]
6.95 gallons in 1 month
8 0
3 years ago
Read 2 more answers
Which linear inequality is represented by the graph?
Zina [86]

Answer:

c

Step-by-step explanation:

not 100% but if you go across 1 and up 2 you get to tje line

8 0
3 years ago
The photography club decided to go on a field trip to the Andy Warhol museum. They had to break into smaller groups once they go
Diano4ka-milaya [45]
A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.

B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127

We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y

In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5

x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5

So the cost of each student is $3.5, and the cost of each teacher is $5.

Hope this helps! :)




4 0
3 years ago
Evaluate −12(−2).<br> 14<br> −14<br> −24<br> 24
bixtya [17]
The answer would be positive 24. The reason being is because of the fact that two negatives when multiplied cancel the negative. Also 12 * 2 is 24 so yeah
5 0
3 years ago
Read 2 more answers
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