Answer:
A number minus the product of
4
and its reciprocal is less than zero. Find the numbers which satisfy this condition.
AAny number less than
−
2
or between
0
and
2
BAny number between
−
2
and
2
CAny number less than
2
DAny number between
0
and
2
Solution
Let the number be x
Then
x
−
(
4
×
1
x
)
≤
0
⇒
x
≤
4
x
⇒
x
2
≤
4
⇒
|
x
|
≤
2
⇒
−
2
≤
x
≤
2
Step-by-step explanation:
Supplementary angles because because angle 1 + angle 2 = 180° so they form a line
we have
x ----> number of hats the sold
y ----> number of scarves they sold
so
12x+15y=690 ------> equation A
y=x+10 -----> equation B
Solve the system of equations
Using substitution Method
substitute equation B in equation A
12x+15(x+10)=690
solve for x
12x+15x+150=690
27x=690-150
27x=540
x=20
Find out the value of y
y=x+10
y=20+10
y=30
therefore
The answer is
<h2>20 hats and 30 scarves</h2>
-1
You put -1,5 on top of 6,-2 then u subtract so basically-1-6=-7 and 5- -2=7 so -7 over 7 you divide both by 7 to make it in simple form so it’s -1
You just need to do 12 1/5 ÷ 1 4/5.
To do this, first convert both fractions to improper fractions or topheavy fractions.
12 1/5 -
15 × 5 is 60, 60 + 1 is 61 so 12 1/5 = 61/5
1 4/5 -
1 × 5 is 5 and 5 + 4 is 9. 1 4/5 = 9/5
To divide fractions, you do keep, chang, flip (keep the 1st fraction, change the ÷ to ×, and flip the 2nd fraction)
the question starts as 61/5 ÷ 9/5 and becomes 61/5 × 5/9
multiplication in fractions is literally just numerator × numerator / denominator × denominator.
61 × 5 is 305. 5 × 9 is 45. the fraction is 305/45.
however, we need a whole number. 305/45 converted into a decimal is 6.7777778 (6.7 recurring). obviously you can't put a fraction of a book onto a shelt, so you round it down to the nearest whole number, which is 6.
final answer: 6
