3 years ago

Which situation can be represented by this equation? 2,500 + 40x = 7,300-60x

Mathematics

1 answer:

koban [17]3 years ago

4 0

Answer:

x= 48

Step-by-step explanation:

$2500+40x+60x=7300\\40x+60x=7300-2500\\100x=7300+2500\\100x=4800\\x=4800/100\\x=48$

You might be interested in

The minute hand of a clock is 6 inches long and moves from 12 to 1 o'clock. How far does the tip of the minute hand move? Expr

Strike441 [17]

Answer: 12.57

Step-by-step explanation:

4 0

2 years ago

For what value of k are the roots of the quadratic equation kx (x-2)+6=0 equal?

ser-zykov [4K]

Answer:

$\boxed{\sf k=6}$

Step-by-step explanation:

$\sf kx (x-2)+6=0$

Expand brackets.

$\sf kx^2 -2kx+6=0$

This is in quadratic form.

$\sf ax^2 +bx+c=0$

Since this is for equal roots:

$\sf b^2 -4ac=0$

$\sf a=k\\b=-2k\\c=6$

$\sf (-2k)^2 -4(k)(6)=0$

$\sf 4k^2-24k=0$

$\sf 4k(k-6)=0$

$\sf 4k=0\\k=0$

$\sf k-6=0\\k=6$

Plug k as 0 to check.

$\sf \sf 0x^2 -2(0)x+6=0\\6=0$

False.

So that means k must equal 6.

3 0

3 years ago

A family purchased tickets to a museum and spent a total of $45.00. The family purchased 5 tickets. There was $1.50 processing f

Arisa [49]

7.50$ for each ticket without the processing fee

4 0

2 years ago

Of the town's 42 firefighters, 16 volunteered for the special rescue team. Express the portion who did not volunteer.

Doss [256]

42 firefighters in total.

16 volunteered for the special rescue team.

n + 16 = 42

or it could be this way:

42 - 16 = n

8 0

3 years ago

In a science report, Mia finds that the average adult

Paul [167]

Equation would be b = 14m

8 0

3 years ago