Answer:
Total number of boys at the concert=100
Step-by-step explanation:
The total number of boys and girls at the concert can be expressed as follows;
Total number of boys (b)=(ratio of boys/total ratio)×total number of boys and girls (t)
where;
Total number of boys=b
ratio of boys=2
total ratio=(2+7)=9
total number of boys and girls=t
replacing;
b=(2/9)×t...equation 1
The total number of girls (g)=Total number of boys (b)+250
g=b+250...equation 2
The value of b in equation 2 is replaced by the value of b in equation 1;
g=(2/9)t+250
And the total number can be expressed as;
Total number (t)=Total number of boys (b)+total number of girls (g)
t=b+g
where;
b=(2/9)t
g=(2/9)t+250
replacing;
t=(2/9)t+(2/9)t+250
t=(4/9)t+250
t-(4/9)t=250
(5/9)t=250
t=250×9/5
t=450
The total number of boys (b)=(2/9)t
replace t with 450
b=(2/9)×450
b=100
Total number of boys at the concert=100
Answer: $5.98
Step-by-step explanation:
$2.60 times 2.3= $5.98
Answer:
z = 86 °
and, x = 2
Step-by-step explanation:
We know that a straight line is a 180 degree-angle. So, we know that
94 + z must equal 180, because they are the only two angles that make up the straight line.
from this information, (that 94 + z = 180) we can easily find z.
(this is typically an intuitive method of subtracting 94 from 180)
94 + z = 180
-94 -94
z = 86 °
-- we know that the relation between z and (10x + 74) must also be equal to 180, as they make up a straight line
if z = 86, then we can know that (10x + 74) must be equal to
(10x + 74) + 86 = 180
- 86 -86
(10x + 74) = 94
10x + 74 = 94
- 74 - 74
10 x = 20
÷ 10 ÷ 10
x = 2
so, z = 86 °
and, x = 2
(I am assuming that this "unprotected placement assessment" has already taken place, and you would like to understand a question. Or, this is a practice assessment. Because there is no point to cheating on a placement assessment--you will just skip over material you don't know. And, it wouldn't align with Brainly's honor policy. Hope you learn from this!!)
Well first you need to convert the mixed numbers into improper fractions like so
3 1/5 would be 16/5 because 3 times 5= 15+1=16
the same with 1 4/5 but you can do this one a bit differently like so- 1=5/5 + 4/5 = 9/5
So now we move on to the subtraction part of the problem. 16/5-9/5= 7/5 because we know 16-9=7
But now you got to convert this improper fraction back into a proper fraction: 7/ 1 2/5 because 5 goes into 7 one time with a remainder of 2 (2/5)
So the answer would be: Ethan read 1 2/5 more books than he did this week.
