All categories

3 years ago

2 very easy questions for 40 points

Mathematics

2 answers:

In-s [12.5K]3 years ago

8 0

Answer:

x=number of students

7= 40-(2 times x)

x= 16.5 or 16 beacuse you cant have half a student

x=number of hours

27= 10+ 2x

x=amanda rented the bike for 8.5 hours

Varvara68 [4.7K]3 years ago

7 0

4.a)2x+10 >27
4.b) 27-10= 17
17/2=8.5
3.a) 40-2x>7
3.b) 7-40=-33
-33/-2=16.5
So 16 students in her class

You might be interested in

Find the distance between the points (4,3) and (0,6)

lidiya [134]

Answer:

in order to solve for

. Then, plug in known values.

0.6

Step-by-step explanation:

is this the answer u were looking for?

5 0

2 years ago

[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation

irina1246 [14]

Answer:

$y=-\frac{158}{579}$

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

$A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]$

And the vector B is formed with the solution of each equation of the system: $b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]$

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called $A_{2}$ .

$A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]$

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

$y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}$

$y=-\frac{158}{579}$

7 0

3 years ago

Math help please Let f(x)=x2+5 and g (x)=3x+4; find (g o f)(7); (g o f)(7)=; help me solve!! Please!

lorasvet [3.4K]

f(x) = 2x

g(x) = x + 3

First let us find (fog)(x)

(fog)(x) = f(g(x)

= f(x+3)

= 2(x+3)

= 2x + 6

==> (fog)(x) = 2x + 6

Now let us find (gof)(x):

(gof)(x) = g(f(x)

= g(2x)

= 2x + 3

==> <span>(gof)(x) = 2x + 3</span>

5 0

3 years ago

A house that was originally listed for sale at $450,000 has decreased the asking price by 8%. By how much has the price been red

matrenka [14]

450000 * .08
= 36,000
They reduce $36,000 from the original price.

5 0

3 years ago

Someone help and please make sure the answer is right

lord [1]

Answer:

it's 12

Step-by-step explanation:

5(12) =60

60+17=77

8 0

3 years ago