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Alenkinab
16 days ago
11

The linear equation 3x – 11y = 10 has

Mathematics
1 answer:
tester [3.9K]16 days ago
7 0

Answer:

Correct option: c) infinitely many solutions

Step-by-step explanation:

With an equation that contains two variables, a system having fewer equations (only one) than variables (two) leads to an infinite count of solutions.

To identify some of these solutions, one can select values for x and subsequently compute the corresponding y:

x = 0:

-11y = 10 -> y = -10/11

x = 1:

3 - 11y = 10 -> y = -7/11

x = 2:

6 - 11y = 10 -> y = -4/11

And this pattern continues.

Thus, the correct choice is c): infinitely many solutions.

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The main span of Bridge A ​(2300 ​feet) is​ _____ percent shorter than the main span of Bridge B ​(4700 ​feet).
Svet_ta [4321]
To determine this answer, you need to calculate the percentage change.
This involves dividing the difference in lengths by the original length. We begin with the main bridge.

4700 - 2300 = 2400
2400 divided by 4700 equals approximately 51.1% shorter.
3 0
11 days ago
Carmen is planning rail lines for a new train station. Help her find m1. Explain how you found  that solution.
tester [3916]
I have included a screenshot of the entire question along with its accompanying diagram.

Answer:
∠1 = 163°

Explanation:
1- finding angle 2:
Given that ∠2 together with 17° creates a straight angle, their total is 180°.
Thus:
180 = 17 + ∠2
Solving for ∠2 gives us:
∠2 = 180 - 17
∠2 = 163°

2- finding angle 1:
Since lines a and b are parallel, ∠1 and ∠2 are alternate angles and therefore equal.
We determined that ∠2 = 163°, leading to:
∠1 = 163°

I hope this clarifies things!:)

3 0
4 days ago
Read 2 more answers
Find the interest for each loan. $252 at 8% for 2 years: ________ $400 at 2% for 6 months:________ $5,000 at 3.5% for 1 year:___
lawyer [4008]

Hello! I'm here to assist you! To calculate interest, we apply the formula prt, which involves multiplying the principal (the amount of money initially), the rate (the interest rate), and the time (typically in years). Here are the results:

$252 at 8% over 2 years yields $40.32
$400 at 2% for a duration of 6 months results in $4
$5,000 at 3.5% for 1 year gives $175
$6,240 at 10% for 9 months amounts to $468

For period calculations, we convert months into decimals: 6 months equals 0.5 years, and 9 months equals 0.75 years. Simply multiply the principal amount by the percentage in decimal form and by the time, and that’s it!

4 0
6 days ago
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At a certain company, loan agents are paid based on the number of loans they close in a day. Based on company records, the numbe
Zina [3914]

Answer:

C. The mean daily salary is not above $350 per day

Step-by-step explanation:

The calculation is displayed below:

Y = a + bX

where,

Y = earnings of a randomly chosen agent

a = $150

b = $50

X = number of loans closed

Now

E(x) = (1 × 0.05) + (2 × 0.10) + (3 × 0.22) + (4 × 0.30) + (5 × 0.18) + (6 × 0.12) + (7 × 0.03)

= 3.94

Consequently,

E(y) = $150 + ($50 × 3.94)

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therefore, option C is incorrect

4 0
4 days ago
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A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a
AnnZ [3877]

Response: The following comparison is made.

Detailed explanation:

At the playground, a climbing structure is 6 feet high and stretches 4 feet horizontally.

The slope can be calculated as vertical height divided by horizontal length.

m_1=  6/4 = 3/2 = 1.5

In contrast, a climbing structure in the gym stands 10 feet tall, extending 6 feet horizontally.

Therefore, slope, m_2=  10/6 = 5/3 = 1.67 (approximately)

As such, m_1 < m_2

Thus, the slope of the first climbing structure is less than that of the second.


5 0
10 days ago
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