Given: A farmer makes a profit of x cents on each of the (x + 5) eggs her hen lays.
To find: The number of eggs the hen lays.
Solution:
Now we have given that farmer makes a profit of x cents on each of the (x + 5) eggs her hen lays.
That means the farmer has x + 5 eggs, which also means that each egg can make a profit of x percent.
Then the equation formed will be:
x × ( x + 5 ) = 84
x^2 + 5x - 84 = 0
(x - 7) (x + 12) = 0
x = 7 , -12
The positive solution will be considered, so the answer is 7+5 = 12 eggs
Answer:
The number of eggs the hen lays is 12.
la raiz cuadrada de 100?
Answer:
Por tanto, la raíz cuadrada de 100 es 10. 2. Elementos de la raíz. El número 36 es el cuadrado de 6.
Step-by-step explanation:
If me and my husband want to save 75000 over the next 13 years and I make 25 dollars and hour and he makes 12 dollars an hour how do I write this in a word problem involving a system of equations
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
HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
A=1
B=-5
C=3
-(-5)+(Square root of) (-5)^2+4(1)(3)/2(1)
-(-5)-(Square rooy of) (-5)^2+4(1)(3)/2(1)
5.5414 or -.5414
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:
Brenda's car averages 375 miles for each 15 gallon tank of gas. How many tanks of gas
will she use on an 1125 mile road trip?
Answer:
3
Step-by-step explanation:
We know that she uses one tank of gas every 375mi, so we can just divide.
1125 / 375 = 3
To check our work we can just multiply.
375 x 3 = 1125.
So she uses 3 tanks on the trip. I hope this helps :)
Help me please I don’t know this
Find the measures of the angles marked with letters.
Step-by-step explanation:
7.
[tex]180 - 2(50) = \\ = 180 - 100 = \\ = 80[/tex]
9.
[tex]180 - 100 = 80 \\(180 - 80) \div 2 = \\ = 100 \div 2 = 50[/tex]
Find the equation of the line
Use exact numbers
In y=mx+b form
Answer:
y = 3x + 3
Step-by-step explanation:
m = 3 because the slope rises 3 and runs 1, therefore 3/1 = 3
b = 3 because the y-intercept is (0,3), therefore y-int = 3
y = 3x + 3
In parts (a) through (e) below, mark the statement True or False. Justify each answer.
(a) In some cases, a matrix may be row reduced to more than one matrix in reduced echelon form, using different sequences of row operations.
Is this statement true or false?
A. The statement is false. Each matrix is row equivalent to one and only one reduced echelon matrix.
B. The statement is false. For each matrix, there is only one sequence of row operations that row reduces it.
C. The statement is true. It is possible for there to be several different sequences of row operations that row reduces a matrix.
D. The statement is true. The echelon form of a matrix is alwaysunique, but the reduced echelon form of a matrix might not be unique.
Answer:
The correct option is option A
A. The statement is false. Each matrix is row equivalent to one and only one reduced echelon matrix
Step-by-step explanation:
The matrix in echelon form is not in a unique form, as such row reduction can yield an infinite amount of answers. However a row reduced echelon form is unique and will give the same answer in every order that the row operation is performed
The statement is false. Each matrix has only one unique row echelon form, therefore, the correct option is option A.
Circle with the center at (2,4) which goes through the point (-1,0). What is the equation of that circle?
Answer:
(x-2)²+(y-4)² = 25
Step-by-step explanation:
Standard equation of a circle is expressed as
(x-a)²+(y-b)² = r²
Center = (a, b)
Radius = r
Get the radius
r² =(0-4)²+(-1-2)²
r² = (-4)²+(-3)²
r² = 16 + 9
r² = 25
Centre = (2, 4)
Substitute into the equation
(x-2)²+(y-4)² = 25
This gives the required equation
Pi is used when calculating which of the following
Answer:
Cicumference, area, diameter, and radius.
Step-by-step explanation:
You asked, I answered.
Hope this helped! :)
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:
an mark obthe meatin by 9 students of class 6 in exam is 50 among them the mark obtain by 8 student are 60, 40, 50, 30, 80, 40, 45, and 40 what is the mark of remaining 1 student
Answer: 65
Step-by-step explanation:
Since the mean mark of the 9 students is 50. Their total marks will be:
= 9 × 50
= 450
Since the marks obtained by 8 students are given, we add the marks together and this will be:
= 60+40+50+30+80+40+45+40
= 385
The score of the 9th student will be:
= 450 - 385
= 65
What is the value of the expression below when x=3?
8x + 6
will mark Brainliest if answer is CORRECT
Answer:
x=3
8*3+6=30
hope its right
Answer:
30
Step-by-step explanation:
So when they give us an anwser or a number that we can possibly plug in, its pretty simple. In our case we got the information that x=3. So if we ever see x in the expression, then we can plug in the information that they gave us into the expression. Let's view the expression, we can notice that there is once x that's being multiplied with 8. And since x is 3 we can do 8x3 and then add the 6 so the expression will look like 8(3)+6 which you solve and get 30.
Given the isosceles trapezoid below, find AG.
Show all the work
We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.
[tex]40 - 24 = 16[/tex]
Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of [tex]GT[/tex] and [tex]EF[/tex]
[tex]\frac{16}{2} = 8[/tex]
Finally, we can use the Pythagorean Theorem to find the length of [tex]AG[/tex]:
[tex]AG^{2} + GT^{2} = AT^{2}[/tex]
[tex]AG^{2} + 8^{2} = 10^{2}[/tex]
[tex]AG^{2} + 64 = 100[/tex]
[tex]AG^{2} = 36[/tex]
[tex]AG = 6[/tex]
Fifty people went to see two different movies. Forty people saw Movie A and twenty people saw both Movie A and Movie B. How many people saw Movie B? PLEASE HELP
A. 10
B. 20
C. 30
D. 40
E. 50
Answer:
5
Step-by-step explanation:
given f(x) = X^2 – 5x + 6 state discriminant # of solutions
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
How do you write a linear equation that relates the height of a bunny hop to the weight of the bike. X is weight, y is height in inches. (19,10.2) (21,9.8) (23,9.4)
Answer:
y= -0.2x+14
Step-by-step explanation:
you have to do y2-y1/x2-x1 of any two coordinates or points so you could do 9.8-10.2/21-19 then you get -0.4/2 and that equals -0.2 so -0.2 is now ur slope or M. Next you pick any coordinate like (19,10.2) and you plug that into ur y=mx+b to find the b since you have found the m already from y2-y1/x2-x1. You could do 10.2= 19(-0.2)+b once you do the algebra to solve this you get 14 as your b or y intercept
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
Write the explicit formula for the arithmetic sequence below and use it to find the 52nd term: 25, 19, 13, 7
Answer:
[tex] \displaystyle \:a_n=- 6n + 31[/tex]
[tex] \displaystyle \:a_{52}= - 281[/tex]
Step-by-step explanation:
we are given some numbers
25,19,13,9
and said to figure out the sequence and 52 term
recall arithmetic sequence
[tex] \displaystyle \: a + (n - 1)d[/tex]
where a is the first term and d is the common difference
let's figure out d
[tex] \displaystyle \:d = 19 - 25 \\ d= - 6[/tex]
and a is 25
now we need to substitute the value of a and d and simplify to get our formula
substitute the value of a and d:
[tex] \displaystyle \: 25 + (n - 1) (- 6)[/tex]
distribute -6:
[tex] \displaystyle \: 25 + ( - 6n + 6)[/tex]
remove parentheses:
[tex] \displaystyle \: 25 - 6n + 6[/tex]
simplify addition:
[tex] \displaystyle \: - 6n + 31[/tex]
so our formula is -6n+31
remember here n means nth number term
we are said to figure out 52 number term
so
substitute the value of n:
[tex] \displaystyle \: - 6.52 + 31[/tex]
simplify multiplication:
[tex] \displaystyle \: - 312 + 31[/tex]
simplify addition:
[tex] \displaystyle \: - 281[/tex]
( 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
Someone help plz I only have 5 questions and plz make sure it’s right :)
Answer:
That question is easy you can use simple logic for this no math needed the answer is B 4.2mi if you need a reason why it is i will provide one
Step-by-step explanation:
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
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
Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?
Answer:
the mean is $80
Step-by-step explanation:
Please help ASAP !!!!!
Answer:
alright alright give us a second
27x to the 3rd power
Shirt is $45 but is on sale for 20% off. What is the discount
Answer:
$15 dollars off so the original price is $60!!!
Step-by-step explanation:
Answer:
$36
Step-by-step explanation:
45 x 0.20
= 9
Total price - sale
= 45 - 9
= 36
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
confused plz help me <3
Answer: the answer is a
Step-by-step explanation:
Answer:
the answer is A
because translating is just shifting