You are given a fraction in simplest form. The possible denominators are 3, 6, 7, 9
<u>Solution:</u>
Given that, You are given a fraction in simplest form.
The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal.
We have to find which numbers from 1 to 10 could be the denominator
Now, let us check each number by considering the numerator as 1
Then,
⇒ non repeating
⇒ non repeating
⇒ repeating
⇒ non repeating
⇒ non repeating
⇒ repeating
⇒ repeating
⇒ non repeating
⇒ repeating
⇒ non repeating
If we want to test with any other numerator. Suppose 5, then numerator is 5 x 1, which means 5 divided by denominator equals with 5 x 1 divided by denominator. So its again product of the numerator we want and above values, then, non repeating stays non repeating and repeating stays repeating.
Hence, the possible denominators are 3, 6, 7, 9
So, you have to have your equation in terms of dimes. What you said about what he has: four more nickels than dimes in his pocket. Will help with our equation.
We know what a nickel and dime is worth. A nickel is .05 and a dime is .1
We don't know how many dimes are in his pocket, since we're trying to solve it.
.1x+(4+x).05=1.25;
In the parenthesis, it shows how there are four more nickels. Let's solve it now.
.1x + (4+x).05=1.25
.1x + .2+ .05x = 1.25; Let's add like terms.
.15x + .2 = 1.25; Subtract .2 from both sides.
.15x= 1.05
1.05÷.15= 7 =x
There are 7 dimes in his pocket, let's check our answer.
We now know there are 11 nickels, since there are four more nickels than dimes.
11(.05) +.1(7) = 1.25
.55+ .7 = 1.25
Now that we've tried it, we know there are 7 dimes in his pocket.
Tell me if this helps!
Answer:
d. 52.5 million cases
Step-by-step explanation:
from the data output in the question, we have the regression equation to be
log y = -151.281 + 0.076577x
y is the number of hiv cases which is in millions
x is the year of the hiv case
x = 1998
we put the value of x in the regression equation
log y = -151.281 + 0.076577(1998)
log y = -151.281 + 153.000846
log y = 1.719846
since the result is in log form,
y = 52.5 million cases
Answer:
A) The solution set is (6,-8).
Step-by-step explanation:
3x - y = 26
-3x - 3x Subtract 3x from both sides
-y = -3x + 26 Divide both sides by -1
y = 3x - 26
Now plug this into 7x + 8y = -22 to solve for x
7x + 8(3x - 26) = -22 Distribute
7x + 24x - 208 = -22 Combine like terms
31x - 208 = -22
+ 208 + 208 Add 208 to both sides
31x = 186 Divide both sides by 31
x = 6
Plug this into y = 3x - 26 to solve for y
y = 3(6) - 26 Multiply
y = 18 - 26 Subtract
y = -8
If this answer is correct, please make me Brainliest!
