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d1i1m1o1n [39]
3 years ago
12

Find the value of x. A. X = 90 B. X = 32 C. X = 30 D. X = 15

Mathematics
2 answers:
fenix001 [56]3 years ago
8 0
Correct answer is D x=15
Verizon [17]3 years ago
5 0
A or d…………………………… ……
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1/1×3 + 1/3×5 + ... + 1/47×49 HELP PLZ
Natalka [10]

Answer:

  24/49

Step-by-step explanation:

Let's add the terms and see if there's a pattern

  \dfrac{1}{1\times 3}+\dfrac{1}{3\times 5}=\dfrac{5+1}{1\times 3\times 5}=\dfrac{2}{5}\quad\text{sum of 2 terms}\\\\\dfrac{2}{5}+\dfrac{1}{5\times 7}=\dfrac{14+1}{5\times7}=\dfrac{3}{7}\quad\text{sum of 3 terms}

Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...

  \dfrac{n}{2n+1}+\dfrac{1}{(2n+1)(2n+3)}=\dfrac{n(2n+3)+1}{(2n+1)(2n+3)}=\dfrac{2n^2+3n+1}{(2n+1)(2n+3)}\\\\=\dfrac{(2n+1)(n+1)}{(2n+1)(2n+3)}=\dfrac{n+1}{2n+3}\text{ matches }\dfrac{(n+1)}{2(n+1)+1}

Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...

  S_{24}=\dfrac{24}{2\times24+1}=\boxed{\dfrac{24}{49}}

3 0
3 years ago
Someone help w pre-algebra, smth about proportional data
inessss [21]

Answer:

The answer is no because for 1 hour he gets 20 dollars and for 2 hours he gets 30$ (which is less for working 2 hours). So, if you multiply 2 hours with 20 dollars, you should get 40, not 30. So therefore, it is not proportional. And same for 3 hours: multiply 3 with 20 to get 60, not 50.

6 0
2 years ago
Read 2 more answers
There are 24 boys in a class, and 2/3 of the students in the class are boys. How many students are girls ?
tresset_1 [31]

Answer:

12 girls.

Step-by-step explanation:

24 ÷ 2 = 12

(This is divided to find out 1 part of the whole class as ⅓)

⅓ = 12

1 (whole) take away ⅔ = ⅓

Since ⅔ + ⅓ = 1

⅓ = fraction of girls in class

1 part = 12

So ⅓ = 12 girls out of 36 total students

Hope this helps. :)

5 0
3 years ago
What value of x is in the solution set of 9(2x + 1) < 9x – 18?
fredd [130]
To solve these kinds of problems, it is necessary to isolate x:

9(2x + 1) <span>< 9x - 18

Distribute 9:
18x + 9 </span><span>< 9x - 18

Subtracting 9 from both sides of the equation:
18x + 9 - 9 </span><span>< 9x - 18 - 9
18x </span><span>< 9x - 27

Subtracting 9x from both sides of the equation:
18x - 9x </span><span>< 9x - 27 - 9x
9x </span><span>< -27

x </span><span>< -3

Therefore, values of x </span><span>< -3 will satisfy the given equation.</span>
7 0
3 years ago
A motorcycle travels north along
Sindrei [870]

Answer:

42 mph

Step-by-step explanation:

From 2 p.m. to 6 p.m. 4 hours passed, so the truck and the motorcycle were on the road for 4 hours until they met.

Motorcycle in 4 hours at a constant speed of 45 mph travelled

45\cdot 4=180\ miles

The distance between the motorcycle and the truck is 348 miles, so the truck travelled

348 -180=168\ miles

If x mph is truck's speed, then

168=4\cdot x\\ \\x=\dfrac{168}{4}=42\ mph

7 0
3 years ago
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