Answer:
the percent of increase is 24%
Step-by-step explanation:
The percent of increase in general could be calculate as:

where Vf is final value and Vi is initial value.
From the question we know that Vi is equal to 25 and Vf is equal to 31. Replacing this values on the equation we get:

That's mean that at second attempt the percent of increase is 24%, taking into account that at the first attempt a student get 25 questions correct.
The equation is
.
1/2 is equivalent to 4/8, and 2 1/8 is equal to 17/8. (two full sets of 8 + 1 = 8 + 8 + 1, or 17)
The new equation is
. Subtract the numerators.
17 - 4 = 13 or 13/8
The improper fraction
simplifies to
.
<h2>Answer:</h2>

Hope this helps :)
3
x
+
2
y
>
24
3
x
+
2
y
>
24
Solve for
y
y
.
Tap for more steps...
y
>
−
3
x
2
+
12
y
>
-
3
x
2
+
12
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
3
2
-
3
2
Y-Intercept:
12
12
Graph a dashed line, then shade the area above the boundary line since
y
y
is greater than
−
3
x
2
+
12
-
3
x
2
+
12
.
y
>
−
3
x
2
+
12
y
>
-
3
x
2
+
12
The number (7×100)+(4×1/100)+(8×1/1,000) in standard form is 7.0048 × 10²
<h3>How to write number in standard form?</h3>
The number can be represented in standard form as follows:
(7 × 100) + (4 × 1/100)+(8 × 1/1,000)
Therefore,
7 × 100 = 700 = 7 × 10²
4 × 1/100 = 4 × 10⁻²
8 × 1/1,000 = 8 × 10⁻³
Therefore,
7 × 10² + 4 × 10⁻² + 8 × 10⁻³ = 700.048 = 7.0048 × 10²
learn more on standard form here: brainly.com/question/22649174
#SPJ1
Answer:
3 hours
Step-by-step explanation:
speed of Bharat = 12kilometers / hour
speed of Ingrid=14 kilometers / hour
For this problem we'll be using formula relating time, distance and speed.i.e
Distance = speed x time
Suppose Bharat is riding at a distance of 'b' kilometers, therefore time taken by him will be:
Time = distance/ speed
Time= b/12 hours.
Also, Ingrid can ride the distance at this time with speed of 14km/hr
The distance would be,
Distance = speed x time
Distance = 14 x (b/12) => 14b/12
Distance= 7b/6
Let '
' be the distance that Bharat have covered after time 't'
therefore,
= 12 x t
Let '
' be the distance that Ingrid have covered after time 't'
therefore,
= 14 x t
In order to find the time when they are 78 kilometers apart, we will add
and
, because they are travelling in opposite direction creating distance between them.
So,
+
= 78
( 14 x t) + (12 x t) =78
14t + 12t =78
26t= 78
t= 78/26
t= 3hours.
thus, it will take 3 hours until they are 78 kilometers apart