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Burka [1]
3 years ago
10

How many four-digit whole numbers contain the digit pair "17" without other intervening digits? (Note that 2017 is one such exam

ple but 2107 is not.)
Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0

Answer:

There are 209 4-digit nu numbers with 17 as consecutive digits

Step-by-step explanation:

17xx xx represent 00 through 99, a set of {100} members.

y17z. y can be 1 through 9 {9}. z can be 0 thru 9 {10}

ww17 which includes 10 thru 99, a set of {90}

Add 100+90+10+9 to get 209 possible combinations.

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The image on the left represents a function. The image on the right does not as a function cannot have multiple variables for a single X quantity.

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2 years ago
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1. Solve. 3(h – 4) = –1/2(24 – 6h)<br><br> 2. Solve for x. ax + bx = –c
Naddik [55]
ANSWER TO QUESTION 1

3(h-4) = - \frac{1}{2} (24 - 6h)

We multiply through by the Least Common Multiple which is 2.

2 \times 3(h-4) = - 2 \times \frac{1}{2} (24 - 6h)

6(h - 4) = - 1(24 - 6h)

We expand brackets to obtain,

6h - 24 = - 24 + 6h

Grouping like terms, have

6h - 6h = - 24 + 24

\Rightarrow 0 = 0

Whenever you solve an equation and you get the above result, you don't have to get confuse.

It simply means the question does not have a UNIQUE solution.

That any real number will number will satisfy the above equation.

Hence,

h \in R




ANSWER TO QUESTION 2

ax + bx = - c

We factor x to obtain;

x(a + b) = - c

We divide both sides by (a+b)

x = - \frac{ c}{a + b}
3 0
3 years ago
The ratio of boys to girls is 14:17 if there are a total of 7626 students how many boys and how many girls are there ?
Finger [1]

Answer: 3444 boys, 4182 girls

Let there be 14x boys and 17x girls. Then there are 31x total students. Since 31x = 7626, x = 246. Then there are 14(246) = 3444 boys and 17(246) = 4182 girls.

i hope this was helpful! :D

6 0
3 years ago
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Solve the system of equations using elimination 3x+y=27 -3x+4y=-42
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d) 10, -3

Hope I helped! ( Smiles )
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What is the first quartile of the data set below? . . 275, 257, 301, 218, 265, 242, 201
motikmotik
The first task in such exercises is to order the data in ascending order.
201,218, 242, 257, 265, 275, 301.
The algorithm to find the first quartile of a distribution of discrete observations is: If the number of observations is odd;
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If the number of observations is even, take the median of the lower half of observations immediately.
Here, we have 7 observations. The median is 257 and the observations below it are 201,218,242. The median of this is 218. Thus, 218 is the first quartile. (Similarly, 275 is the 3rd quartile).
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3 years ago
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