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____ [38]
3 years ago
9

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.

Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Mathematics
1 answer:
wlad13 [49]3 years ago
7 0
C = 10, a = 12 4c + 6a <= 120 4(10) + 6(12) <= 120 40 + 72 <= 120 112 <= 120 -- this is correct 4c + 4a <= 100 4(10) + 4(12) <= 100 40 + 48 <= 100 88 <= 100 -- this is correct I agree...the answer is C.
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Which of the following lines are parallel to 2Y - 3X = 4?
dimulka [17.4K]

Answer:

B. Y = 6/4 X

Step-by-step explanation:

Well to find its parallel line we need to put,

2y - 3x = 4 into slope-intercept.

+3x to both sides

2y = 3x + 4

Now we divide everything by 2,

y = 3/2x + 2

So a line that is parallel to the given line will have the same slope but different y intercept, meaning we can cross out choices A and C.

To check look at the image below ↓

<em>Thus,</em>

<em>answer choice B. Y = 6/4 X is correct.</em>

<em />

<em>Hope this helps :)</em>

4 0
2 years ago
Find the future value of the loan. $34300 loan at 3.5% for 4 months
dusya [7]

Answer:

The future value of loan amount after 4 months is $ 34,695.136  

Step-by-step explanation:

Given as :

The loan principal = $ 34300

The rate of interest applied = 3.5 %

The time period = 4 months = \frac{1}{3} year

Let The amount after 4 months = $ A

<u>From compounded method</u>

Amount = Principal × (1+\dfrac{\textrm Rate}{100})^{Time}

or, Amount = 34300 × (1+\dfrac{\textrm 3.5}{100})^{\frac{1}{3}}

or, Amount = 34300 × (1.035)^{\frac{1}{3}}

or, Amount = 34300 × 1.01152

∴ Amount = $ 34,695.136

Hence The future value of loan amount after 4 months is $ 34,695.136  Answer

7 0
3 years ago
Ms. Wiltz has a $20 gift certificate to her local bakery. If she buys a loaf of banana nut bread for $8.30 and uses the rest of
sladkih [1.3K]

Answer:

20-8.30=11.70

11.70 she is able to buy 11 brownies

Step-by-step explanation:

7 0
3 years ago
From a sample with nequals8​, the mean number of televisions per household is 4 with a standard deviation of 1 television. Using
OlgaM077 [116]

Answer:

75% of the households have between 2 and 6 televisions

Step-by-step explanation:

From the question, we can deduce the following;

sample size n= 8

sample mean μ = 4

standard deviation σ = 1

Using Chebychev’s theorem;

P(2 ≤ X ≤ 6) = P(2-4 ≤ (X - μ) ≤ 6-4)

= P(-2 ≤ (X-μ) ≤ 2) = P(|X-μ| ≤ kσ) ≥ (1 - 1/k^2) ≥ (1- 1/2^) = 1- 0.25 = 0.75 ( same as 75%)

3 0
3 years ago
Many people enjoy challenging themselves by running in marathons. A marathon is a 26-mile race. The runners wear numbers that id
Rudiy27
First we clear y from the given equation
 x + 10y = 260
 10y = 260-x
 y = (260-x) / (10)
 Then, we evaluate the function within the domain of it
 x = 0
 y = (260- (0)) / (10)
 y = (260) / (10)
 y = 26
 x = 10
 y = (260- (10)) / (10)
 y = (250) / (10)
 y = 25
 That is, you travel 1 mile in 10 minutes.
 Therefore, traveling 26 miles will take:
 (26) * (10) = 260 min
 answer
 it takes for the runner to reach the school 260min.
6 0
3 years ago
Read 2 more answers
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