Answer:
Step-by-step explanation:
Let x be the amount of 12%
Let y be the amount of 20%
x + y = 180
x = 180 - y
x(0.12) + y(0.20) = 180(0.15)
(180 - y)(0.12) + y(0.20) = 27
(180)(0.12) - 0.12y + 0.20y = 27
21.6 + 0.08y = 27
0.08y = 5.4
y = 67.5 oz of 20% solution
x = 180 - 67.5 = 112.5 oz of 12% solution
Max and Toni’s flower bed is rectangular in shape. The length of the garden is 4 feet more than its width and the area of the flower bed is 96 square feet. If x represents the width of the flower bed, find the length and width of the old flower bed. Solve the quadratic equation using the quadratic formula. (20 points)
Answer: Width = 8ft, Length = 12 ft
Step-by-step explanation:
irst, let'Fs express the width of the garden as w (the unknown that we are trying to solve), since the length is 4 feet longer than it's width, we can express this as 4+w. Since the flowerbed is rectangular, the formula for the area is A=lw where l is it's length and w is it's width, replacing l with 4+w, then replace A for 96 sq.ft and we can begin solving for the unknown w. Multiplying 4+w and w, using the distributive property where a(b+c)=ab+ac, we will wind up with w^2 + 4w = 96, subtracting 96 and moving it to the other side, we end up with w^2 + 4w -96 = 0, now let's use the quadratic formula for the x intercepts where [tex]x = \frac{-b +/- \sqrt{b^2-4ac}}{2a}[/tex] , remember the quadratic equation has the form [tex]ax^2+bx+c[/tex], therefore our a value is 1, our b value is 4, and our c value is -96 (remember to put that negative!), we will get 2 answers, 8 and -12, a negative width is unreasonable and so 8 is the correct width, and since the length is 4 extra feet, this makes the length 12 feet for a total area of 96 feet. hope this helps! Its helpful to draw and visualize the problem!
please help me with this
Answer:
14 Is a divident of 7 and 14
Every weekday the nursery buys enough milk for 37 children to have 250ml of milk each. An additional two pints per day is bought for the staff.
The milk comes in 4-pint cartons. The price of a carton of milk has increased by 10p.
How much more will the nursery pay for milk each week?
1 litre = 1.76 pints
Answer:
238.5p or 2.385 pounds per week
Answer: Please ignore the other answers.
Step-by-step explanation:
We stopped using half-pennies in the UK over 50 years ago.
I'm a tutor on the course this is on and I am sick of learners copying this incorrect answer.
The figure below is a prism with a right-triangle base.
What is the surface area of the figure?
Help me please
a submarine is submerged to a depth of 650 feet below sea level the ascends 225 feet. Determine the current position of the submarine
Answer:
Step-by-step explanation:
Ascending means moving towards the surface.
So the submarine is 340 feet below sea level.
The submarine ascends 76feet.
∴
340
−
76
=
264
f
e
e
t
below sea level.
Answer: 425 feet
Step-by-step explanation:
650 - 225 = 425
ascend is positive
650 is technically negative
6+13+20...+(7n-1) Find the sum.
Answer:
2.5n+3.5n^2
Step-by-step explanation:
(6+7n-1)*n/2=2.5n+3.5n^2
it is predicted that by 2050 there will be 10^10 people living on earth. approximatrly will be 10^12 trees. how many trees for each person?
Interesting question. Does that mean near the end of humanity?
Solution 1:
10^10 = 1,000,000,000
10^12 = 100,000,000,000
100,000,000,000/1,000,000,000 = 100 trees per person
Solution 2:
10^12 / 10^10 --- 10^10 / 10^10
10^2/1 = 10^2 = 100 trees per person
Two trains travelling along parallel tracks in the same direction do 50 km/h and 100 km/h on average. The faster train starts 2 hours later than the slower. After how many kilometres will the faster train catch up?
Answer:
200 kmStep-by-step explanation:
Let the faster train catches the slower one after x hours.
The distance the trains travel is same:
50(x + 2) = 100x50x + 100 = 100x50x = 100x = 2The distance is:
50*(2 + 2) = 100*2 = 200 kmEach square below represents one whole …. What percent is represented by the shaded area?
Answer:
50%
Step-by-step explanation:
The diagonal line divides the square in half
I hope this help you
If you can do your homework at a rate of 2.6 minutes for every problem, how many problems could be done after 1.78 hours? Round to a whole number.
Answer:
41
Step-by-step explanation:
represent each solution on a number line 3
I don't know how to represent it on a nomberline
I
ANSWER USING STEPS: find the inverse function of y=-5x-7
the inverse of y is =x+7
Step-by-step explanation:
y=5x-7
then solve for x
5x=y+7
x=(y+7)/5
then exchange x with y
y=(x+7)/5
The inverse of the given function is expressed as:
-(x + 7)/5
How to find the inverse of the function?The given function is expressed as:
y = -5x - 7
Replacing y with x and vice versa gives us:
x = -5y - 7
Add 7 to both sides gives:
x + 7 = -5y
divide both sides by -5 gives us:
-(x + 7)/5 = y
Thus, we conclude that the inverse of the given function is expressed as:
-(x + 7)/5
Read more about Inverse of Function at: https://brainly.com/question/3831584
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Which humanist idea was inspired by ancient Greeks and Romans?
O The government should protect the rights of citizens.
O People should have a say in how their churches are run.
O Formal education is the best way to improve people's lives.
O People can understand the world by using logic and reason to study it.
Answer:
the answer is c
Step-by-step explanation:
its the right answer lol
Answer:
(C) Formal Education is the best way to improve people's lives
Personally I thought it was (D) but now that I think about it...well yeah
If your financial goal is to save at least $40000 in 10 years What would be the least amount of money to save each month
Answer:
$334 to the nearest dollar.
Step-by-step explanation:
If you just stuff it under the bed that would be
40000/ 120 (as there are 120 months in 10 years)
= $334.333...
In the function y=f(x), y varies inversely with the square of x and when x=4, y=1/2. Find y when x=1.
ok so
y= 4/3x2
Y varies inversely with square of x means
y = k (1/x²) where k is the constant
plug in y =1/3 and x = - 2 in the above equation.
1/3=k (1/{-2}²)
1/3=k (1/4)
multiply with 4 to both sides.
4/3 =k
therefore,
y=4/3 (1/x²) = 4/3x²
314. Find the area under the graph of f(t) = t/(1+t^2) where t is
between t= 0 and t = x. where a > 0 and a does not equal 1 is
fixed, and evaluate the limit as x → .
Infinity
Answer:
Check the attached image for the sake of my sanity typing integrals in these.
Notes on the red marks.
1. From the first to the second passage I multiplied top and bottom by 2. The bottom one stood outside the integral by linearity, the top got inside to get the derivative of the denominator.
2. Quick y substitution, it's a dy/y which should get integrated as the logarythm of the absolute value. This is a situation where you can skip it since you know that you are dealing with positive values (1 is positive, and 1 plus something squared is even greater than 1 which was positive already).
The area as x diverges also diverges
A bottle is filled with 4oz of perfume. If 20% of the perfume evaporates, how many ounces remain?
Answer:
The answer will be:- ( 0.8 oz ).
PLS DO THE MATH INT HE PICTURE
Answer:
Area = 100cm²
Perimeter = 48cm
(x+5)(x-5) factoring
Answer: x² - 25
Step-by-step explanation:
42. A football team is at its own 25-yard line. In the next three plays, it loses an average of 4 Yards per play. Where is the team after the three plays?
The state of Colorado has 7 representatives in the U.S. House of Representatives. There are a total 435 representatives. What is the percentage of Colorado’s representation?
Answer:
1,61 %
Step-by-step explanation:
Divide the part you want to calculate the percentage of (in this case 7) by the total (435) and multiply by 100
7/435*100= 1,61 %
Solve for C:
Spam: deiodhwidweiudjegydjwe
Answer:
[tex]C=\frac{5F-160}{9}[/tex]
Step-by-step explanation:
Let's solve for C.
[tex]F=\frac{9C}{5}[/tex]
Step 1: Flip the equation.
[tex]\frac{9}{5} C+32=F[/tex]
Step 2: Add [tex]-32[/tex] to both sides.
[tex]\frac{9}{5} C+32+-32=F+-32[/tex]
[tex]\frac{9}{5}C=F-32[/tex]
Step 3: Divide both sides by [tex]\frac{9}{5}[/tex].
[tex]\frac{\frac{9}{5}C}{\frac {9} {5}}=\frac{F-32}{\frac{9}{5} }[/tex]
[tex]C=\frac{5F-160}{9}[/tex]
Answer:
[tex]C=\frac{F-160}{9}[/tex]
A rope is 225 centimeters long.
You need the rope to be 1.5 meters long.
How many centimeters should you cut off?
Answer:
1.5 meters = 150 centimeters (multiply by 100)
Therefore, you should cut off [tex]225-150=75[/tex] centimeters.
The fourthgrade students are taking a field trip and need to rent minivans Each minivan will to 8 people There are 135 people going on the trip. How many people will not be able to go if they only rent 16 minivans?
(A) 6 people
(B) 7 people
(C) 8 people
(D) 9 people
12. Suppose a computer manufacturer has the total cost function C(x) = 65x +3500 and the total revenue function
R(x) = 365x, where x represents the number of computers produced and sold. What is the profit on 326 items?
a. $86,500
b. $101,300
c. $94,300
d. $1,238,800
$143.680
Cost is 65x + 3500 where x is = 326.
65(326) + 3500
21,190 + 3500 = $24,690 is the cost.
Revenue is 365x where x is 326.
365(326) = $118,990
Now we subtract the two:
118,990 - 24,690 = $94,300
This means that the answer is C) $94,300.
I hope this helps! :)
Judy purchased a carpet for $ 233.95 and a table set for $199.08. She received a 25% discount but had to pay 8% sale tax. What is the total price?
Answer:
$350.75
Step-by-step explanation:
The circumference of a circle equals 2 r, where r is the radius. Find
the circumference of a compact disc that has a radius of 6.0 cm
Answer:
The answer is 37.68 or 37.7
Step-by-step explanation:
What you have to do first is find the diameter. So you have to multiply the radius (r) by 2 to get the diameter. 6 times 2 is 12. After that you, will multiply 12 by pi, or 3.14 to get 37.68
the probability that a tin of paint is dented is 0.07 out of 3000 tins of paint,how many would you expect to be dented?
Answer:
3000×0.07=210 tins
Step-by-step explanation:
210 tins
Step-by-step explanation:
3000÷100×0.07
=2.1
MARK ME BRAINLIEST PLS!!find the lengths of lien segments AC & CB
Answer:
AB = 28cm
point C partitions AB into a ratio 1:3
they say to find the lengths of AC and CB
Usually in maths questions like this look at the order of things placed. Meaning…
ratio — 1:3
find — AC and CB
1 — AC
3 — CB
so now we know
1:3
AC:CB
1+3 = 4
28/4 = 7
7*1 = 7 = AC
7*3 = 21 = CB
Which (I believe) is the second option
A line with a slope of
–
1
8
passes through the points (4,
–
7) and (
–
4,k). What is the value of k?