All categories

2 years ago

Two pieces of equipment were purchased for a total of $4000. If one piece cost $850 more than

Mathematics

1 answer:

ruslelena [56]2 years ago

3 0

The price of less expensive equipment is $1575.

Step-by-step explanation:

Let,

Price of one equipment = x

Price of other equipment = y

According to given statement;

x+y=4000 Eqn 1

x = y+850 Eqn 2

Putting Eqn 2 in Eqn 1

$(y+850)+y=4000\\y+850+y=4000\\2y=4000-850\\2y=3150$

Dividing both sides by 2;

$\frac{2y}{2}=\frac{3150}{2}\\y=1575$

Putting y=1575 in Eqn 2;

$x=1575+850\\x=2425$

The price of less expensive equipment is $1575.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

You might be interested in

A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from

Nuetrik [128]

1 - 2 - 3 - 5. I think that’s right but I’m not sure

8 0

2 years ago

I️ have to use 15 as Y

statuscvo [17]

-1/5of 15 =-3 then add 3 2/5th which is 17/2 so -3+17/2 = 11/2=5 1/2

7 0

3 years ago

B. it is the area of a circle with a<br> diameter of 1. <br> True of false

Dominik [7]

It has to be true because you would need to divide

4 0

2 years ago

Answer in factored form x^2+11x+7

KATRIN_1 [288]

X² <span>+ 11x + 7

because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:

(-b </span>± √((b)² - 4ac))/(2a)

in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))

not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2

and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:

(x - (-11 - √93)/2) and (x + (-11 - √93)/2)

they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:

(x + (11 + √93)/2) (x - (11 - √93)/2)

and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.

7 0

3 years ago

Graph the inequality below on a number line x>-9

goldfiish [28.3K]

For this case we have the following inequality:
x> -9
The solution set of this inequality is given by:
(-9, inf)
Therefore, all the points within the given interval must belong to the graph of the inequality.
Note: see attached image.
Answer:
(-9, inf)
See attached image.

6 0

3 years ago