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Lunna [17]
3 years ago
10

A bank lent $200,500 for the development of two products. If the loan for priduct X was for $50,500 more than that for product Y

, how much was lent for product Y​
Mathematics
1 answer:
Kaylis [27]3 years ago
8 0

Answer:

$75,000

Step-by-step explanation:

Let

x ----> amount lent for product X

y ---->amount lent for product Y

we know that

A bank lent $200,500 for the development of two products

so

x+y=200,500 ----> equation A

The loan for product X was for $50,500 more than that for product Y

so

x=y+50,500 ----> equation B

substitute equation B in equation A

y+50,500+y=200,500

solve for y

2y=200,500-50,500\\2y=150,000\\y=\$75,000

You might be interested in
The weight of water is 62 1/2 per cubic feet. Water that weighs 325 lbs will fill how many cubic feet
yulyashka [42]

Water that weighs 325 lbs will fill 5.2 cubic feet.

Step-by-step explanation:

This is a simple question of cross multiplication

<u>DATA:</u>

<em>1. The weight of water for 1 cubic feet is 62.5</em>

<em>2. The weight of water for 'X' cubic feet is 325 </em>

<em>3. To find x, form an equation:</em>

Cubic feet : Weight of water

     1           :         62.5

     X           :         325

<em>4. Cross multiply</em>

X x 62.5 = 1 x 325

62.5X = 325

<em>5. Make X the subject</em>

X = \frac{325}{62.5}

<em>6. Solve to find X</em>

X = 5.2 cubic feet

Therefore, water that weighs 325 lbs will fill 5.2 cubic feet.

Key words: Conversion

Learn more about conversions at

  • brainly.com/question/1548911
  • brainly.com/question/555814
  • brainly.com/question/4837736

#LearnwithBrainly

4 0
3 years ago
Find the distance between the points (13, 20) and (18, 8).<br> 13<br> 7<br> 11
Lana71 [14]

Answer:  13

Step-by-step explanation:

See attached graph.

A third point (18,20) may be added to the two given points to form a right triangle with sides 5 and 12.  The distance, x, between the original two points is given by x^2 = 5^2 + 12^2

x^2 = 25 + 144

X^2 = 169

x = 13

5 0
2 years ago
Which graph represents the solution set of the system of inequalities? {x+y&lt;12 y≥x−4
RSB [31]

Answer: The graph in the bottom right-hand corner

(see figure 4 in the attached images below)

===========================================

Explanation:

Let's start off by graphing x+y < 1. The boundary equation is x+y = 1 since we simply change the inequality sign to an equal sign. Solve for y to get x+y = 1 turning into y = -x+1. This line goes through (0,1) and (1,0). The boundary line is a dashed line due to the fact that there is no "or equal to" in the original inequality sign. So x+y < 1 turns into y < -x+1 and we shade below the dashed line. The "less than" means "shade below" when y is fully isolated like this. See figure 1 in the attached images below.

Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.

After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.

5 0
2 years ago
Read 2 more answers
Please help I don't know how to explain
spin [16.1K]
Well, 1/4 = 2x.
1/4 / x = 2

cause 2x is multiplication
and the other side shows divison for the right side of the and

also, solution
x = .125
7 0
3 years ago
What is 2x + 3y&lt; =543 +3x&gt; 3,456,789&lt;12+12+12+12+12+12+12+12+18+19+10+19
artcher [175]

Answer:

65.434

Step-by-step explanation:

4 0
2 years ago
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