Answer:
The general form of the equation is;
25·x + 12·y = 75,000
x + y ≤ 6,250
When they work the same duration, the time the husband and wife works is approximately 2,071 hours each
When they contribute the same amount, the wife, works for x = 1,500 hours, while the husband works for y = 3,125 hours
Step-by-step explanation:
The amount the couple intends to save in 13 years = $75,000
The amount the wife makes per hour = $25
The amount the husband makes per hour = $12
The number of working hours in 13 years is given as follows;
Total number of hours = 40 hr/week × 52 weeks/year × 13 years = 27,040 hours
However, when the husband alone works, we have;
75,000/12 = 6,250 hours
Let 'x' and 'y' represent the number of hours the wife and husband works respectively, we have the following system of equations;
The general form of the equation is;
25·x + 12·y = 75,000
x + y ≤ 6,250
When the couple work equal times
25·x + 12·y = 75,000...(1)
x = y...(2)
From equation (1), we have;
25·x + 12·y = 75,000
25·x + 12·x = 75,000
x = 75,000/37 ≈ 2,071 hours = y
The number of hours each will work is approximately 2,071 hours
When the husband and wife contribute the same amount, we have;
25·x = 12·y = 75,000/2
x = 75,000/(2 × 25) = 1,500
∴ x = 1,500 hours
The number of hours the wife works = 1,500 hours
y = 75,000/(2 × 12) = 3,125
∴ y = 3,125 hours
The number of hors the husband works = 3,125 hours
If a fair die is rolled twice and two numbers X1=result of the first roll and X2=result of the second roll are obtained. Given that X1+X2=7, what is the probability that X1 =4 or X2 =4
Answer:
P = 2/3 = 0.67
Step-by-step explanation:
Assuming that X1 + X2 = 7
The total number of outcomes such that X1 + X2 = 7 are:
X1 = 3, X2 = 4
X1 = 4, X2 = 3
X1 = 1, X2 = 6
X1 = 6, X2 = 1
X1 = 2, X2 = 5
X1 = 5, X2 = 2
So there are 6 total outcomes such that X1 + X2 = 7
Now, the probability that X1 = 4 is equal to the quotient between the number of outcomes where X1 = 4 (only one outcome) and the total number of outcomes (6)
Then:
p = 1/6
And the probability that X2 = 4 is calculated in the same way, then the probability is:
q = 1/6
Now, the probability that X1 = 4 or X2 = 4 is the sum of both probabilities we've found above, then:
P = p + q = 1/6 + 1/6 = 2/6 = 2/3 = 0.67
What is the volume of the following rectangular prism?
Your job as investigator is to determine who caused this accident. Is the driver responsible , or is the farmer responsible? Read the accounts of the accident, and then answer the following questions 1. Why is the driver unhappy? According to the driver, what caused the accident? (4 points)
The driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.
What is stopping distance?Stopping distance can be defined as a measure of the distance between the time when a driver applies a break to stop a vehicle that is in motion and the time when the vehicle completely comes to a stop.
In this scenario, I would say that the driver is responsible for this accident because if she wasn't moving at a high speed, her stopping distance would be very minimal. Thus, she would be able to bring her vehicle to a stop without colliding with or crashing into the fence, immediately she sighted the cows.
Also, I can deduce that the driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.
Read more on drivers here: https://brainly.com/question/26084890
A diver found a school of fish 85 feet below the surface of the ocean. He found coral 95 feet deeper than the fish. How many feet deep from the surface was the coral?
Answer:
180 feet
Step-by-step explanation:
85+95=180 because depth + depth.
The total deep 180 feet from the surface was the coral.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that diver found the school of fish 85 feet below the surface of the ocean. Which he found coral 95 feet deeper than the fish.
The total deep from the surface was the coral.
Therefore, it could be;
depth + depth.
85 + 95 = 180
Hence, the total deep 180 feet from the surface was the coral.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
Megan and Devon are working together in science class to build a terrarium for an herb garden. The plan for the terrarium, with some dimensions in centimeters (cm), is shown here. What is the volume of the terrarium?
27,000 cubic centimeters because 30 x 30 x 30 = 27,000
54,000 cubic centimeters because 30 x 30 x 60 = 54,000
81,000 cubic centimeters because 30 x 30 x 30 + 30 x 30 x 60 = 81,000
48,600,000 cubic centimeters because 30 x 30 x 30 x 30 x 60 = 48,000,00
Answer:
The answer would be 81,000
Step-by-step explanation:
Answer:
The answer is 81,000
Step-by-step explanation:
If you multiply 30x30x30+30x30x60=81,000
( 2x + 5 ) + ( 3x - 7
Answer:
5x-2
Step-by-step explanation:
2x+3x=5x
5-7=-2
Answer:
5x+-2
Step-by-step explanation:
(2x+5) + (3x-7)
2x+3x=5x
5-7=-2
5x-2
(I'll mark brainliest)Sam is planning a birthday celebration for his coworker. He drew the map below to show the places he needs to drive to get party supplies. The 'nap has a scale 1 inch to 25 miles.
Sam is currently at the bakery and his next stop is the florist. What is the actual distance, in miles, between the two places?
A. 10.0
B. 27.5
C 62.5
D.75 0
Using the following data, what is the Interquartile Range? $20, $50, $70, $80, $30, $60, $20, $70, $70, $90
Answer:
$60
Step-by-step explanation:
sorry if I'm wrong ^-^
Answer:
its 46
Step-by-step explanation:
Please help!!!!! I’ll mark you as brainliest!!!!!!
Answer:
The answer is 7440
Answer:
$7740
Step-by-step explanation:
60,000×12,4%=$7740
In the figure shown, what is the measure of the indicated angle? °
Answer:
105 degrees
Step-by-step explanation:
Since there mus tbe 180 degrees in a triangle 180-80=100 and then -25 is equal to 75. since the line is 180 degrees, 180-75 = 105
what is the inequality for more than 100,000
Answer:
>100,000
Step-by-step explanation:
A spinner has 6 numbers on it, from 1-6, all with equally spaced area. Find the probability of spinning a
Prime number, P(Prime)
Select the correct response.
1
2
5
6
2
3
1
3.
Answer:
first option 1/2
Step-by-step explanation:
2,3,5 are the prime numbers from that set
each individual number has a 1 in 6 chance of landing on it and we have 3 so...
3 of 6 possibilities would be prime numbers. Simplify to...
1 in 2
Can someone plz help me with this Math problem and plz explain how you got your answers
1. a line that is parallel to y=3/4x-9 has slope m=___________
Answer:
Hi! The answer to your question is [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
This equation is in y=mx+b or -b which is Slope Intercept form for Graphing basically y is the y intercept and b means slope, you don't have to do anything extra to find the slope when its in Slope Intercept Form all you have to do is look for usually its a fraction but it can also be a number but all you have to look for is the number that comes before b in the equation! If this has helped you please say that this has helped, if it hasn't please tell me what confuses you and i can quickly clear up that confusion! Have a nice day!
Can anyone turn this fraction to a decimal i have to have this full sheet of work done by 12:00pm tonight so I need quick answers ASAP!!
Answer:
6/10 = 0.6
3/25 = 0.12
1/5 = 0.2
14/20 = 0.7
24/50 = 0.48
1/2 = 0.5
8/25 = 0.32
4/10 = 0.4
17/20 = 0.85
6 x 4/8 = 3
6 x 4/12 = 2
8 x 18/8 = 18
Step-by-step explanation:
Nine scores have an average of 8. Scores x and x+1 are added, and these increase the average to 9. Find x
Answer:
x must be 13
Step-by-step explanation:
Represent the nine scores by a, b, c, d, e, f, g, h, i.
Write the following equation to indicate that the average of these nine scores is 8:
a+b+c+d+e+f+g+h+i
----------------------------- = 8, or a+b+c+d+e+f+g+h+i = 72 if we multiply both
9 sides of this equation by 9.
Next, we add scores x and x+ 1 to
a+b+c+d+e+f+g+h+i + x + x + 1
and divide the result by 11, as there are now 11 scores instead of just 9:
a+b+c+d+e+f+g+h+i + x + x + 1
----------------------------------------------
11
Earlier, we saw that a+b+c+d+e+f+g+h+i = 72. We can now replace
a+b+c+d+e+f+g+h+i in the above fraction by 72:
72 + 2x + 1
------------------- = 9 (as the new average is 9)
11
Multiplying both sides of this equation by 11 results in:
73 + 2x = 99, or 2x = 26.
Then x must be 13, and x + 1 must be 14.
a baseball team played 32 games and lost 8 . Katy was the catcher in 5/8 of the winning games and 1/4 of the losing games. what fraction of the games did the team win? and how many games did Katy play catcher
Answer:
17
Step-by-step explanation:
what you have to is simple, first do 32-8 which get you 24, thats how many they won. Then do 8x1/4 to get 2, she played 2 games as catcher and lost, then do the same thing with the winning games. 24x5/8 should get you 15. she played 15 games as catcher and won. then do 15+2 to get 17.
hope that helps!
Answer:
1/4 - won
7/8 - katy played catcher
hope this helps you :)
You spin the spinner shown below once
The spinner has 4 equal sectors colored pink, purple, blue, and green
What is the probability of landing on Blue?
Answer:
1/4
Step-by-step explanation:
there are 4 colors meaning each one has a 1/4 chance
simplify the algebraic expression!!
Answer:
[tex]\frac{y^{3}}{2z^{7}}[/tex]
Step-by-step explanation:
1. Move z^ − 3 to the denominator using the negative exponent rule b ^− n = 1/ b ^n
2. Multiply z ^4 by z ^3 by adding the exponents.
3. Cancel the common factor of 4 and 8
4. Cancel the common factor of x^2
Answer:
[tex]\frac{y^{3} }{2z^{7} }[/tex]
Step-by-step explanation:
Can someone please help!!! i really need it
Answer:
Step-by-step explanation:
6. 8
7. 21
8. 18
PLEASE HELP THIS IS MY LAST QUESTION!
Triangle JKL is an equilateral triangle with two of its vertices at points J and K. What are the coordinates of point L? Round to the nearest tenth as needed.
Answer:
The X coordinate is 6, since it's midway between J and K. If you draw a midline from L, and running to the midpoint of the line JK, you make two right angled triangle. The length of the midline would be the square root of the difference of the squares of six and three, which is 5.20, which is the offset of the Y coordinate of L from the Y coordinate of J and K, which is 2. Add 5.20 to 2 to get the Y coordinate of L as 7.20. L is therefore (6,7.20)
Answer:
(6, 7.2)
Step-by-step explanation:
Since it is an equilateral triangle, all of the side length must be equal.
Therefore, we know the lengths JK = 6 and JL = 6. If h is the height of the triangle, the Pythagoras's theorem says
(JK/2)² + h² = JL²
putting in the values of JK and JL gives
(6/2)² + h² = 6²
3² + h² = 6²
subtracting 3^2 from both sides gives
h² = 6² - 3²
h² = 27
Taking the square root of both sides gives
h =
[tex] \sqrt[3]{3} [/tex]
h = 5.2
With the value of h in hand, we can now read off the coordinates of L.
The x coordinates of L is 6 (count the boxes along the x-axis until you are under L or halfway between J and K).
The y-coordinates of L is 2 + h = 2 + 5.2 = 7.2 ( how far above the x-axis the triangle is plus the height of the triangle).
confused plz help me <3
Answer: the answer is a
Step-by-step explanation:
Answer:
the answer is A
because translating is just shifting
given f(x) = X^2 – 5x + 6 state discriminant # of solutions
please check answer!
3, 12, 22, 33, 45, 58, 72, ?
Answer:
Step-by-step explanation:
So this is a quadratic sequence.
3, 12, 22, 33, 45, 58, 72
9 10 11 12 13 14
9, 10, 11, 12, 13, 14
1 1 1 1 1
This means the next one must be 15 so
3, 12, 22, 33, 45, 58, 72, x
9 10 11 12 13 14 15
x= 72+15
x= 87
I need help with my homework
Answer:
The answers are B, D, and E.
Isolate the y-variable in the equation 2x + y = 7.
Answer please like ASAP
Answer:
y=-2x+7
Step-by-step explanation:
You just subtract 2x from both sides to get y alone
Answer:
2x + y = 7
y = 7 -2x
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINIEST. What is the range?
Answer:
range= 8
Step-by-step explanation:
to find range> subtract highest number to the lowest
so 10- 2= 8
To control an infection, a doctor prescribes a dosage of 200 mg of medicine every 8 hours for an infant weighing 12.1 lb. At this rate, what would the dosage be for an infant weighing 20.8 lb?
Answer:
To control an infection, a doctor prescribes a dosage of 200 mg of medicine every 8 hours for an infant weighing 12.1 lb. At this rate, what would the dosage be for an infant weighing 20.8 lb?
Step-by-step explanation:
ans :- 7.5 ml
The sum of two numbers is 54 and the difference is 8. What are the numbers?
Answer:
23 and 31 are the numbers you are searching for.
Step-by-step explanation:
23 + 31 = 54
31 - 23 = 8
Have a nice day!