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den301095 [7]
4 years ago
10

3/5x + 1/2y=30 in need x and y intercepts step by step please

Mathematics
2 answers:
Anna35 [415]4 years ago
7 0
X intercept: when y is zero
y intercept: when z is zero
So...

3/5(0) + 1/2y=30
1/2y=30
multiply by 2 (both sides)
y=60

3/5x + 1/2(0)=30
3/5x=30
multiply by 5/3 (both sides)
x=18

x-intercept: (18,0)
y intercept: (0,60)
Free_Kalibri [48]4 years ago
4 0
Substitute X or Y With 0 So It Would Be 3/5(0) +1/2y = 30
1/2y=30
Divide Get Y And Do The Same For X
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saw5 [17]

<h2>Answer: </h2>

The coordinates of the point that makes the division in the given ratio is (0,3)

Step-by-step explanation:

Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2

We simply use the internal division formula

That would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

m = 1 and n = 2

(x1,y1) = (4,9)

(x2,y2) = (-8,-9)

Substituting these values into the formula, we have;

2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)

= (8-8)/3 , (18-9)/3

= (0,3)

6 0
3 years ago
angle ABD equals 5x+6y+10 angle DBC equals 6x-7y angle CBE equals 4x-2y-7. AB is perpendicular to BC. DB is perpendicular to BE.
xxMikexx [17]

Answer:

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Step-by-step explanation:

6 0
4 years ago
Phones-R-Us charges $16.95 per month and $0.05 per text message. Awesome Wireless charges $22.95 per
Dima020 [189]

Answer:

S \leq 200

Step-by-step explanation:

Given

Phone R-Us= $16.95 + $0.05 per SMS

Awesome Wireless = $22.95 + $0.02 per SMS

Required

Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us

Represent the SMS with S

For Phone R-Us, we have:

SMS = 16.95 + 0.05S

For Awesome Wireless, we have:

SMS = 22.95 + 0.02S

For Awesome Wireless is greater or equal to Phone R-Us, we have:

22.95 + 0.02S \geq 16.95 + 0.05S

Collect Like Terms

0.02S - 0.05S \geq 16.95 - 22.95

-0.03S \geq -6

Solve for S

\frac{-0.03S}{-0.03} \geq \frac{-6}{-0.03}

S \leq 200

<em>Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200</em>

4 0
3 years ago
Question 2: The average price for a BMW 3 Series Coupe 335i is $39,368. Suppose these prices are also normally distributed with
densk [106]

Answer:

0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 39368, \sigma = 2367

What percentage of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe?

This is 1 subtracted by the pvalue of Z when X = 44520. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{44520 - 39368}{2367}

Z = 2.18

Z = 2.18 has a pvalue of 0.985

1 - 0.985 = 0.015

0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe

5 0
3 years ago
Select the coordinates of two points on the line y= 8
notsponge [240]
The answer for this is (0,8) and (8,0)
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4 years ago
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