Answer:
Step-by-step explanation:
If the bricklayer can construct the wall in its entirety in 3 hours, then he can get 1/3 of the job done in an hour.
If the apprentice can get the whole job done in 5 hours, then he can get 1/5 of the job done in an hour. If they both work together on said job, the equation is
and now we solve for x. Multiply everything by the LCM to get rid of the fractions. That would be 15x:
and doing that gives us
5x + 3x = 15 and
8x = 15 so
x = 1.875 hours which is 1 7/8 hours which is also 1 hour and 52 1/2 minutes.
40 = x% of 32
32x = 40
x = 40/32
x = 1.25
multiply by 100 to convert to percentage...
x = 125%
40 is 125% of 32
Answer:
See attachment
Step-by-step explanation:
A function is given to us and we need to tell which graph represents the given function. The function given to us is,
Let's find out at which points do the graph Intersects x axis / finding the roots. For that substitute f(x) = 0 , we have ,
Equate each factor by 0 ,
Therefore the graph will intersect x axis at x is equal to -1 and x is equal to -3 .
On looking at the given graphs in the options the second graph intersects x axis at -1 and -3 .
<u>Hence</u><u> </u><u>the </u><u>second</u><u> </u><u>option</u><u> </u><u>is </u><u>correct</u><u> </u><u>.</u><u> </u>
{ See attachment }
Answer:
degree measure = 360° × percent of data
Step-by-step explanation:
The ratio of the degree measure of a sector of a circle graph to 360° is the same as the ratio of the represented data to the whole amount of data.
The idea of a circle graph is that the area of the sector is proportional to the data being represented. That is, if the data represented is 10% of the whole, then the sector area is 10% of the whole. Sector area is proportional to the degree measure of its central angle, so the example sector would have a central angle of 10% of 360°, or 36°.
The ratio of the central angle of the sector to 360° is the same as the percentage of data that sector represents.