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Ksivusya [100]
3 years ago
13

I would like to know the answer for this question

Mathematics
1 answer:
g100num [7]3 years ago
3 0
To put words into equations:
x+y+z =50
x=4y
4y=5z -> z= 4/5 y


Which means
4y+y+ 4/5 y= 50
29/5 y =50
29y=250
Y=29/250
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(a) How many integers from 1 through 1,000 are multiples of 2 or multiples of 9?
DENIUS [597]

Answer:

(a)There are 500 integers from 1 through 1,000 are multiples of 2.

There are 111 integers from 1 through 1,000 are multiples of 9.

(b)0.611

Step-by-step explanation:

Given the set of Integers from 1 through 1000

The least multiple of 2 is 2 and the highest multiple of 2 in the interval is 1000.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 2,4,6,... is an Arithmetic Progression,

where first term, a =2, common difference, d =2

Nth term of an A.P,

U_n= a+(n-1)d\\1000=2+2(n-1)\\1000=2+2n-2\\1000=2n\\n=500

  • There are 500 integers from 1 through 1,000 are multiples of 2.

Similarly,

Given the set of Integers from 1 through 1000

The least multiple of 9 is 9 and the highest multiple of 9 in the interval is 999.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 9,18,27,... is an Arithmetic Progression,

where first term, a =9, common difference, d =9

Nth term of an A.P,

U_n= a+(n-1)d\\999=9+9(n-1)\\999=9+9n-9\\999=9n\\n=111

  • There are 111 integers from 1 through 1,000 are multiples of 9.

(b)Probability that an integer selected at random is a multiple of 2 or a multiple of 9.

There are a total of 1000 numbers between from 1 through 1,000

n(S)=1000

n(Multiples of 2)=500

n(Multiples of 9)=111

Therefore:

P(\text{Multiples of 9}) \:OR\: P(\text{Multiples of 2})=\frac{111}{1000} + \frac{500}{1000} \\=\frac{611}{1000} \\=0.611

7 0
3 years ago
What is 2,000,000 + 6oo,oo + 2,000 + 200 + 50 + 5 in standard form​
nadezda [96]

Answer:

2,602,255

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I am not sure of the answers​
astra-53 [7]

Answer: 2 3/4 as an improper fraction would be B. 11/4

7 0
3 years ago
Read 2 more answers
Please help due ASAP <br> I really need help
elena55 [62]
C because it is icoceles.
6 0
3 years ago
Read 2 more answers
The slope of the the tangent line to a curve at a point. Calc derivative help
pickupchik [31]

Answer:

y = 108x + 216

Step-by-step explanation:

given

y = 4x³ then \frac{dy}{dx} = 12x² = m_{tgt}

x = 3 ⇒ m = 12(- 3)² = 108

equation of tangent in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept ), hence

y = 108x + b

To find b substitute (- 3, - 108) into the equation

- 108 = -324 + b ⇒ b = - 108 + 324 = 216

y = 108x + 216 ← equation of tangent

5 0
3 years ago
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