A student earned a grade of 80% on a math test that had 30 problems. How many problems on
this test did the student answer correctly?

The problems on the test the student got correctly is 24.

Percentage can be described as a fraction of a number expressed as a number out of hundred.

80% of the questions were gotten correctly.

Number of questions gotten corrected = percentage gotten currently x number of questions

80% x 30

= 0.8 x 30 = 24.

To learn more about percentages, please check: link

24 problems

Step-by-step explanation:

equation: 80/100 = x/30

cross multiply: 100 * x = 80 * 30

multiply: 100x = 2400

divide each side by 100: x = 24

24 problems

I hope this helped, please mark Brainliest, thank you !!

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!