Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $90 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $1900. How long did each mechanic work?
2. Find the slope of GL, and BH using the coordinates; B(-4,3), G(-2, 4), H(1, -2), L(-1, -3). then determine if the lines are parallel.
Given:
The coordinates of the points are B(-4,3), G(-2, 4), H(1, -2), L(-1, -3).
To find:
Whether GL and BH are parallel or not by using their slopes.
Solution:
If a line passes through the two points, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the slope formula, the slope of GL is
[tex]m_1=\dfrac{-3-4}{-1-(-2)}[/tex]
[tex]m_1=\dfrac{-7}{-1+2}[/tex]
[tex]m_1=\dfrac{-7}{1}[/tex]
[tex]m_1=-7[/tex]
Using the slope formula, the slope of BH is
[tex]m_2=\dfrac{-2-3}{1-(-4)}[/tex]
[tex]m_2=\dfrac{-5}{1+4}[/tex]
[tex]m_2=\dfrac{-5}{5}[/tex]
[tex]m_2=-1[/tex]
We know that slopes of parallel lines are always equal.
The slopes of GL and BH are -7 and -1 respectively but they are not equal, therefore GL and BH are not parallel lines.
calculate 30% of 500 kg
Section B
Solve the problems. Show your workings clearly in the spaces provided.
(10)
Paul was given $2760 to buy toys for a group of children.
(a) What would be the greatest number of toys Paul could buy if each toy
cost $9?
(b) How much money would be left after buying the toys?
A photographer has a print that is 3.5 inches wide and 2.5 inches tall. If the photographer enlarges the print so that it is 7 inches wide, how tall will it be?
5 inches
6 inches
8 inches
12 inches
Answer:
5 inches
Step-by-step explanation:
Hope I helped
Convert 65 millimeters to centimeters
Pls use step by step pls
Answer:
65 mili= 6.5cm
Step-by-step explanation:
divide the length value by 10
Racial dimorphism mesning
Answer:
Facial sexual dimorphism emerges at puberty: as the size and shape of the male and female faces increase with age, faces begin to show different secondary sexual characteristics (i.e., masculine or feminine).
Solve and graph the inequality.
−x4−6≥−8
Answer:
Inequality Form: − 4 √ 2 ≤ x ≤ 4 √ 2 Interval Notation: [ − 4 √ 2 , 4 √ 2 ]
Answer:
-4x ≥ 14
x ≥ -3.5
Graphed (numberline):
<-----------3.5---0------------->
could be x
what is the sum of 2/5 and 2/5 in simplest form
Answer:
The answer is 2/5
Step-by-step explanation:
2/5+2/5=4/5=2/5
A car is driven 600 miles and uses 20 gallons of gas. If gas is $1.05 per gallon, what is the gasoline cost per mile?
Answer:
hi
Step-by-step explanation:
There are blue, red and yellow counters in a bag in the ratio 3:2:1. There are 6 more blue counters than red counters. How many counters are there in total?
Answer:
12
Step-by-step explanation:
im pretty sure its 12 if not im sorry
what is the answer to 5,082 / 5 =
Answer
If you mean 5082 ÷ 5 than the answer is 1016.4
Step-by-step explanation:
Hope it helps!
A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the disease. Also, if a person does not have the disease, the test will report that he or she does not have it with probability 0.9. Only 1% of the population has the disease in question. If a person is chosen at random from the population and the diagnostic test indicates that she has the disease, what is the conditional probability that she does, in fact, have the disease
Answer:
8.33% probability that she does, in fact, have the disease
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test
Event B: Has the disease
Probability of a positive test:
10% of 100-1 = 99%
90% of 1%
So
[tex]P(A) = 0.1*0.99 + 0.9*0.01 = 0.108[/tex]
Positive test and having the disease:
90% of 1%
[tex]P(A \cap B) = 0.9*0.01 = 0.009[/tex]
What is the conditional probability that she does, in fact, have the disease
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.108} = 0.0833[/tex]
8.33% probability that she does, in fact, have the disease
If I have six eggs I crack two I cooked two and I eat two how many eggs do I have left
Answer:
4
Step-by-step explanation:
you cracked, cooked, and ate the same two eggs
What is the value of 8+(7+1)^2÷4(1/2)^4
Will Mark Brainliest
^=exponents
Answer:
264
Step-by-step explanation:
8+(7+1)^2 / 4(1/2)^4
8+ 8^2 / 4(1/2)^4
8+64/4(1/16)
8+64 / 1/4
8 + (64*4)
8+256
264
7. Simplify
(12p27
(2p2q6)
Answer: 7776p^2q
Step-by-step explanation:
The sixth grade went to the museum for a field trip. There
are 75 students in the sixth grade, and 21 students did not
go. What percentage of students did not go on the field trip?
o 12%
o 28%
o 50%
O 65%
right and evaluate an expression to help you determine how much you make if you charge $7.50 to walk dogs and you walk 10 dogs
Answer:
7.50(10)
You make 75 dollars
Step-by-step explanation:
7.50(10)= 75
Helpppp PLZ 20 POINTS
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
combine like terms
(10f -5f)
(8 + 4)
(6g)
Mason wants to host a housewarming party. The following equation represents how the cost of party depends on the number of attendees.
The equation is d= 16a
The variable \mathrm{a}a represents the number of attendees, and the variable d represents the cost in dollars.
Find the number of attendees who could be invited if Mason budgets a total of $80 for his party.
Line g has a slope of
Line ris parallel to line q. What is the slope of line r?
Simplify your answer and write it as a proper fraction, improper fraction, or integer? Please I need help!!
Answer:
45
Step-by-step explanation:
45
find an equation for the nth term of the sequence -4,-16,-64,-256
Answer:
this should be -262,144 because its -4^9 so you just keep multiplying by 4 until the ninth which is -262,144
Figure A is a scale image of Figure B. Figure A: 7.2 , 4. Figure B: 3 , x. What is the value of x
Answer: 5.4
Step-by-step explanation:
Answer:
5.2
Step-by-step explanation:
What is the answer to 14v+6=2(5+7v)
Answer:
0=4
Step-by-step explanation:
14v+6=2(5+7v)
14v+6=10+14v
6=10
0=4
Please answer the blanks
Answer:
5/6=10/12 10/12=5/6 3/12=1/4 3/4=9/12
In a normal distribution, 68% of the data fall within how many standard
deviations of the mean?
A. Two standard deviations
B. One standard deviation
C. It cannot be determined from the given information.
D. Three standard deviations
In a normal distribution of data, 68% of the data fall within one standard deviations of the mean.
What do you mean by normally distributed data?Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]
Here the mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex].
Thus, in a normal distribution of data, 68% of the data fall within one standard deviations of the mean.
Learn more about the normally distributed data here;
https://brainly.com/question/6587992
#SPJ2
The population of cats that are rescued every year is currently 50,000 and declines at a rate of 1.2% every year. This models
Answer:
Exponential decay
1. Luis went to the bank. He deposited
$20 into his savings account and
withdrew $40 from his checking
account. Write integers to describe
both transactions.
American Vending supplies vended food to a large university. Because students often kick the machines out of anger and frustration, management has a constant repair problem. The machines break down in a mean of 3 hours with a standard deviation of 3 hours. One repair worker can service one machine in a mean of 2 hours with a standard deviation of 2 hours. Currently, TWO repair workers are hired. Average flow time (W) was calculated as 2.305 from the posted queueing template. --- Average down machines in the entire system (L) are ___.
Answer:
0.77
Step-by-step explanation:
From the information given:
The breakdown time (a)= 3 hours
The breakdown rate (λ) = 1/a = 1/3
Average flow time in the system (W) = 2.305 hours
For the entire system;
The average down machines L = Wλ
= 2.305 × (1/3)
= 0.77
What is the perimeter of the shape?
40 feet
43 feet
51 feet
67 feet
Answer:
40 feet?
Step-by-step explanation:
11 ft + 3 ft + 4 ft + 6 ft + 3 ft + 3 ft + 4 ft + 6 ft = 40