All categories

3 years ago

Make x the subject of the formula y=(5t+5x)

Mathematics

1 answer:

Elan Coil [88]3 years ago

3 0

Answer:

(y-5t)/5=x

Step-by-step explanation:

y=5t+5x

factorize

y=5(t+x)

divide both sides by 5

y/5=5(t+x)/5

y/5=t+x

make x to stand alone

y/5-t=x

take lcm of 5 and 1

y/5-5t/5

y-5t/5=x

You might be interested in

A local company rents a moving truck for $750 plus $0.59 per mile driven over 1000 mi. What is the maximum number of miles the t

Katen [24]

The maximum number of miles the truck can be driven so that the rental cost is at most $\$1000$ is $\boxed{1423{\text{ miles}}}.$

Further explanation:

Given:

A local company rents a moving truck for $\$ 750.$

Rent per mile is $\$ 0.59$ if the truck moves more than 1000 miles.

Explanation:

The rental cost of the truck is $\$ 750$ if he drove less than 1000 miles.

${\text{Cost}} = \$ 750{\text{ }}x \leqslant 1000$

The rental cost of the truck can be expressed as follows,

${\text{Cost}} = 750 + 0.59x{\text{ }}x > 1000$

The rental cost is at most $\$1000.$

$750 + 0.59x \leqslant 1000$

The maximum number of miles can be obtained as follows,

$\begin{aligned}0.59x &\leqslant 1000 - 750\\0.59x &\leqslant 250\\x &\leqslant \frac{{250}}{{0.59}}\\x &\leqslant 423.7\\\end{aligned}$

The maximum number of miles can be obtained as follows,

$\begin{aligned}{\text{Maximum miles}} &= 1000 + 423\\&= 1423 \\\end{aligned}$

The maximum number of miles the truck can be driven so that the rental cost is at most $\$1000$ is $\boxed{1423{\text{ miles}}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: local company, rents, moving, truck, $750, $0.59, maximum, 1000 miles, $1000, at most, at least, number of miles, rental cost, driven over

3 0

3 years ago

Read 2 more answers

6x — 4 > 14or3х + 10 < 4

Ipatiy [6.2K]

9514 1404 393

Answer:

x < -2 or 3 < x

Step-by-step explanation:

6x > 18 . . . . add 4

x > 3 . . . . . . divide by 6

3x < -6 . . . . subtract 10

x < -2 . . . . . divide by 3

The solution is the union of disjoint sets:

x < -2 or x > 3

3 0

3 years ago

What multiplied to -24 and adds to -10?

Reptile [31]

Answer:

6 × 4 = 25

6 + 4 = 10

hope this helps

5 0

3 years ago

Read 2 more answers

A number N divided by -9 is -16

lianna [129]

Answer: no

Step-by-step explanation:

algebraic expression for "a number , n, divided by 4 is 4. I

3 0

3 years ago

EASY ALGEBRA 1 QUESTION:

lora16 [44]

Answer:

Trinomial

Step-by-step explanation:

yes they're considered terms

6 0

3 years ago

Read 2 more answers