Answer: x=4, y=-6
Step-by-step explanation:
Find how many quarts of 4% butterfat milk and 1% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk. The mixture should contain ___ quarts of the 4% butterfat milk.
Answer:
50
Step-by-step explanation:
The amount of 4% butterfat milk is equal to x quarts , When 1% butterfat milk is equal to 75-x. The amount of butterfat in 4% butterfat milk is x/100*4=0.04x
The amount of butterflat in 1% butterfat milk is (75-x)/100= 0,75-0.01x
1The amount of butterflat in 75 quarts of 3% butterfat milk (our desired mixture) is 75/100*3= 2.25
This quantity (2.25) is the sum of butterfat from 4% butterfat milk and 1% butterfat milk(the sum of 0.04x and 0.75-0.01x)
the equation is
0.04x+0.75-0.01x=2.25
0.03x=1.5
x=50
if a stone is dropped from a cliff that is 122.5m high then its height in meters after t seconds is h=122.5-4.9t^2. find its velocity after 2s
Answer:
Step-by-step explanation:
Let t = 2
h = 122.5 - 4.9·2² = 122.5-19.6 = 102.9
7m = 49 solve the equation by trial and error method
Trial and error specifies that you should guess the value of m and see if you aimed too low too high then adjust your next guess based on that.
Suppose we don't already know what m is (even though it is completely obvious), let's pick m to be 6,
So we check, [tex]7\cdot6=42[/tex] but [tex]35\lt49[/tex] which means m must be bigger.
So we pick m to be 8 and check, [tex]7\cdot8=56[/tex] but [tex]56\gt49[/tex] which means m must be smaller.
Since only natural number between 6 and 8 is 7 we pick m to be 7 and check, [tex]7\cdot7=49[/tex] and [tex]49=49[/tex].
The answer is therefore 7.
Hope this helps :)
A stone is dropped of a 1296-ft-cliff. The height of the stone above the ground is given by the equation h= - 16t^2+1296, where h is the stone’s height in feet, and t is the time in seconds after the stone is dropped. Find the time required for the stone to hit the ground.
When stone hits the ground, it's height will be zero, and since we're finding the time that's required for the stone to hit the ground, we can set h = 0 and solve for t.
The time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
A stone is dropped of a [tex]1296[/tex]-ft-cliff. The height of the stone above the ground is given by the equation [tex]h=-16t^2+1296[/tex], where [tex]h[/tex] is the stone’s height in feet, and [tex]t[/tex] is the time in seconds after the stone is dropped.
So,
[tex]h=-16t^2+1296\\\\v(t)=\frac{ds}{dt}=-32t+0\\\\=-32t\\\\\\a(t)=\frac{dv}{dt}=-32[/tex]
When [tex]s(t)=0[/tex] now solve it for [tex]t[/tex] so,
[tex]-16t^2+1296=0\\\\t^2=\frac{1296}{16}\\\\t^2=81\\\\t=\sqrt{81}\\\\t=9seconds[/tex]
When [tex]t=9[/tex] so,
[tex]v(9)=-32(9)\\\\v(9)=-288[/tex]
nd
[tex]a(9)=-32[/tex]
Hence, the time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].
To know more about the equation
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Which best describes the relationship between the line that passes through the points (6, -1) and (11, 2) and the line that passes through the
points (5-7) and (8-2)?
Answer:
D. Neither perpendicular nor parallel
Step-by-step explanation:
Let's find the slope (m) of both lines:
✔️Slope (m) of the line that passes through (6, -1) and (11, 2):
Slope (m) = change in y/change in x
Slope (m) = (2 -(-1))/(11 - 6) = 3/5
✔️Slope (m) of the line that passes through (5, -7) and (8, -2)
Slope (m) = change in y/change in x
Slope (m) = (-2 -(-7))/(8 - 5) = 5/3
✅The slope of both lines are not the same, therefore they are not parallel nor same line.
Also, the slope of one is not the negative reciprocal of the other, therefore they are not perpendicular.
The perimeter of a rectangular parking lot is 318m. If the width of the parking lot is 61m what is the length
Answer:
98 meters
Step-by-step explanation:
Simplify each side of the equation:
318 = 2(61+x)
318= (2)(61) + (2)(x)
318= 122 + 2x
Flip the equation:
2x + 122 = 318
Subtract 122 from each side:
2x + 122 − 122 = 318 − 122
2x = 196
Divide both sides by 2:
2x/2 = 196/2
x = 98
Select all correct answers
What are the solution to this equation
-7+(x^2-19)^3/4=20
Correct options are -10 and 10
-7 + (-10² - 19)³/⁴ = 20
-7 + (100 - 19)^3/4 = 20
-7 + (81)^3/4 = 20
-7 + 27 = 20
20 = 20
RHS = LHS
-7 + (10² - 19)^3/4 = 20
-7 + (100 - 19)^3/4 = 20
-7 + (81)^3/4 = 20
-7 + 27 = 20
20 = 20
RHS = LHS
Rest options are incorrect
Answered by Gauthmath must click thanks and mark brainliest
Answer:
B and C, so 10 and -10
Step-by-step explanation:
what song goes whoooooo Iiiiii smoooooooooke
Answer:
Lol yu lateee das "who i smoke by yung ace"
Step-by-step explanation:
Answer:
woogle said woo hoo by rock a teens
Step-by-step explanation:
ABCD is rectangle with diagonals AC and BD meeting at point O. Find x if OA = 5x-7 and OD=4x-5
Determine the value of X. Please explain the answer
We have two lines from the same point.
These two lines are also tangents to same circle which implies that they are of the same length.
That is 2x - 1 = 9
2x = 9 +1 = 10
x =10/2
x = 5
If ‘BOXES’ is OBXSE, then BOARD is
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Answer:
OBADR
Step-by-step explanation:
The first two letters are swapped, and the last two letters are swapped.
BOARD . . . becomes
OBADR
How much would Carol have to invest today at 5.5% compounded annually to have $5300 for a vacation to China in three years?
Select one:
a.
$5023.70
b.
$4513.55
c.
$3179.08
d.
$4768.62
Question 7 of 10
What is the slope of the line described by the equation below?
y-9 = -2(x-8)
Answer:
The slope is -2 and a point on the line is (8,9)
Step-by-step explanation:
The equation is in point slope form
y -y1 = m(x-x1) where (x1,y1) is a point on the line and m is the slope
y-9 = -2(x-8)
The slope is -2 and a point on the line is (8,9)
In a survey conducted at a pet store, 150 customers were asked if they owned
birds or fish. The survey data are shown in the relative frequency table.
Answer:
12% percent of fish in own
The % of people surveyed own fish is 12%.
To find the % of people surveyed own fish.
What is relative frequency?Relative frequency refers to the percentage or proportion of times that a given value occurs within a set of numbers, such as in the data recorded for a variable in a survey data set.
Given that:
In a survey conducted at a pet store, 150 customers were asked if they owned birds or fish.
By the data on the table:
Total (own fish) = 0.04 + 0.08 = 0.12
So, own fish = 0.12
=12/100= 12%
So, 12% of the people surveyed own fish.
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If one ruler and three pencils cost N120 and two
rulers and one pencil cost N140. Find the cost of
one ruler and one pencil
Answer:
N80
Step-by-step explanation:
One ruler is N60 and one pencil is N20.
(4.8 × 10⁷) + 6,500,000
Answer:
5.45 * 10^7
Step-by-step explanation:
[tex](4.8 * 10^7) +6,500,000[/tex]
= [tex](4.8 * 10^7) + 6.5 * 10^6[/tex]
= [tex](4.8 * 10^7) + (0.65 * 10^7)[/tex]
= [tex]5.45 * 10 ^7[/tex]
A Circuit has a 5000 V power supply(AC), A load resistance of 4 ohms and open switch how much Current will flow in a circuit as it is ?
Answer:
1250 amps
Step-by-step explanation:
V = 5000 V
R = 4 ohms
Use ohms law: V = IR
5000 =I(4)
I = 1250 amps
5.
The width of a rectangle is one foot more than a third of the length. If the
perimeter is 42 feet, what is the width? What is the length?
Maria reads 3/5 chapters in 5/6 hours whats the unit rate?
Answer: 18/25 chapters / hour
Step-by-step explanation:
Concept:
Here, we need to know the idea of unit rate.
A unit rate is a rate with 1 in the denominator.
In simple words, the unit rate is something per one thing. For example, when you go to a store, you bought a book that is priced at $10. In actually meaning, it is $10 per book, or $10/book.
Solve:
Given formula
Unit rate = Number of chapters / Hours
Substitute the value into the formula
Unit rate = (3/5) / (5/6)
Convert to multiplication by taking the reciprocal of the divisor
Unit rate = (3/5) · (6/5)
Numerator times numerator / denominator times denominator
Unit rate = (3 × 6) / (5 × 5)
Unit rate = 18 / 25 chapter / hour
Hope this helps!! :)
Please let me know if you have any questions
The unit rate is 18/25 chapters per hour. This means Maria is reading at a rate of 18/25 chapters in one hour.
How to determine the unit rateTo calculate the unit rate, we're trying to find out how much of something (in this case, chapters) happens in a single unit of another thing (time, in hours).
In this scenario, Maria reads 3 out of 5 chapters in 5 out of 6 hours. To find the unit rate, we divide the chapters read (3/5) by the time taken (5/6 hours):
Unit Rate = Chapters Read / Time Taken
= (3/5) / (5/6)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Unit Rate = (3/5) * (6/5)
= (3 * 6) / (5 * 5)
= 18 / 25
So, the unit rate is 18/25 chapters per hour. This means Maria is reading at a rate of 18/25 chapters in one hour.
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pls find the volume :))
Answer:
The volume can be found by multiplying these two numbers, which is
65/4 x 1/2
65/8 units^3
Let me know if this helps!
Answer:
8 1/8 units ^3
Step-by-step explanation:
The volume is given by
V = Bh where B is the area of the base and h is the height
V = 16 1/4 * 1/2
Changing to an improper fraction
V = ( 4*14+1)/4 * 1/2
= (65/4) * 1/2
= 65/8
Changing back to a mixed number
= 8 1/8
Simplify tan(arcsec 1)
Answer:
0
Step-by-step explanation:
Arc sec(1)=0, tan(0)=0
Tom and Harry are racing go-carts.Tom takes 2mins 8seconds to complete a lap while Harry takes 2minutes to complete a lap.They both start from the start line at the same time.when will they next cross the start line together? show all the workings.
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Answer:
after 32 minutes
Step-by-step explanation:
They will both cross the start line together after each has completed a number of full laps in the same time that the other has completed an integer number of full laps. That time will be the least common multiple (LCM) of their lap times, 128 seconds and 120 seconds.
The difference of these times (8 seconds) is also a divisor of both times, so that value is the greatest common divisor (GCD) of the two lap times. The LCM can be figured as ...
LCM(120, 128) = 120×128/GCD(120, 128)
LCM = 120×128/8 = 1920 . . . . . seconds
Converting this to minutes, we get ...
(1920 s)/(60 s/min) = 32 min
They will next cross the start line together after 32 minutes.
Amy works 40 hours a week and gets paid 15.50 an hour. Tom works 40 hours a week and gets paid 10 an hour. How much does Amy earn per week? How much does Tom get pay for week?
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Answer:
Amy: $620
Tom: $400
Step-by-step explanation:
The pay for 40 hours (1 week) is 40 times the pay for 1 hour:
Amy: 40 × $15.50 = $620 . . . . Amy's pay for 1 week
Tom: 40 × $10.00 = $400 . . . . Tom's pay for 1 week
Question 8 of 10
If f(x) = 4x2 and g(x) = x+1, find (f•g)(x).
A. 4X2 + 1
B. 4x2 + 4x2
C. 4(x+1)
D. 4x(x)
SURVIT
Answer:
option c is the answer for your question
What is the x-coordinate of the point of intersection for the two lines below?
-6 + 8y = -6
7x -10y = 9
Answer choices
1.) -6
2.) -3
3.) 3
4.) 7
Answer:
c.
Step-by-step explanation:
Can anyone help please?
Answer:
part 1:
a) After 37.72 years, there will be $270,183.29421
b) After 11.9 years, there will be double the amount originally put in the account(60,015.17148)
part 2:
38 years
Step-by-step explanation:
a)
30000(1.06)^t
t=37.72
30000(1.06)^37.73 = 270,183.29421
b)
30000(1.06)^t
t=11.9
30000(1.06)^11.9 = 60,015.17148
part 2)
37.72 rounded to the nearest tenth is 38
... select this as the brainliest please!!...
Help me with this question plz
19. 68 because 90seconds 1hr 30 mons
allowing 20% discount on the marked price of a watch, the value of the watch will be rs 6328, when a VAT of 13% is added find it's marked price
Step-by-step explanation:
let , MP =x
then,
discount amount =D% of MP
= (20/100)× x
= 0.2x
now,Sp without VAT = MP-D
=x - 0.2x
= 0.8x
NoW, SP with VAT = Sp without VAT+ VAT %of SP
or ,6328 = 0.8x + 13% of 0.8x
or, 6328 = 0.8x + (13/100) × 0.8x
or, 6328= 0.8x + 0.104x
or,. 6328= 0.904x
or, X= 6328/0.904
X= 7000 Rs.
Hence ,MP is Rs.7000
A newsletter publisher believes that over 47% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
The advertiser failed to reject the null hypotenuse so this would mean there is not sufficient evidence at the 0.02 level of significance to say that the percentage of people who own a Rolls Royce is higher than 47%
Solve using the addition principle. 3y - 11 ≤ 2y - 2
Answer:
y ≤ 9
Step-by-step explanation:
3y - 11 ≤ 2y - 2
Subtract 2y from each side
3y-2y - 11 ≤ 2y-2y - 2
y - 11 ≤ - 2
Add 11 to each side
y - 11+11 ≤ - 2+11
y ≤ 9
Answer:
[tex]y \leqslant 9[/tex]
Step-by-step explanation:
[tex]3y - 11 \leqslant 2y - 2 \\ 3y - 2y \leqslant 11 - 2 \\ y \leqslant 9[/tex]
