Answer:
x = 21/10yStep-by-step explanation:
If the variables x and y vary inversely, this is expressed as;
x ∝ 1/y
x = k/y
k is the constant of proportionality
Given;
x = 7/2 and y = 3/5
Substitute;
7/2 =k/(3/5)
Cross multiply
k = 7/2 * 3/5
k = 21/10
Substitute the value of k into the formula;
x = k/y
x = (21/10)/y
x = 21/10 * 1/y
x = 21/10y
Hence the equation relating x and y is x = 21/10y
an open box of maximum volume is to be made from a square piece of material, 26 centimeters on a side,
Domain of the function is: 0 < x < 12.
Volume of the box = 4x(12-x)²cm^3
Volume of a cuboid:Volume is the measure of how much space a given substance takes up inside a closed, three-dimensional object. A cuboid's volume given by its length (l), breadth (b), and height (h) is as follows:
According to the given data:Side of square = 24cm
(a) Volume of the box
Let the squares used to create a box have a side of "x" cm.
so,
length will be = 2(12 - x)
Width will be = 2(12 - x)
Hight will be = x
Volume of the Square box (V) = l x b x h
= 2(12 - x) * 2(12 - x) * (x)
= 4x(12-x)²cm^3
(b) The domain of the function V(x)
We see that:
x is length, x >0
x cm of the side's length of 24 cm are removed from both ends.
so that 2x<24
Domain of the function is: 0 < x < 12.
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I understand that the question you are looking for is:
An open box of maximum volume is to be made from a square piece of material, 24 centimeters on a side, by cutting equal squares from the corners and folding up the sides.
If V is the volume in cubic centimeters and x is the height of the box in centimeters, find V in terms of x. Determine the domain of the above function
Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?
6 milk bottles, 1 banana peel, 3 newspapers, 4 soda cans, 6 apple cores
A.
35%
B.
65%
C.
13%
D.
100%
Answer:
recyclble materials include Milk bottles, news papaers and soda cans
the rest is compost
20 items is the total
13 are recycble
13/20 as a decimal is 0.65
multiply by 100
and answer is
B.65%Step-by-step explanation:
Answer:
B 65%
Step-by-step explanation:
Which of the following inequalities matches the graph?
Math rotation question !! Help me out!
Answer:
clockwise, 90°
(0, 0)
Step-by-step explanation:
Draw a segment from (0, 0) to (1,1).
After the rotation, that segment becomes a segment from (0, 0) to (1, -1).
the rotation is 90° clockwise, and the point it is rotated about is (0, 0).
A pump can fill a 2400-L water tank in 50 min.
How much water can it pump in half an hour?
Answer: 2400 litre in 50 mins
In 1 min it fills 2400/50 litres
In 30 mins 2400/50*30=1440litres
when making a long trip, you should stop for a rest: about every four hours or two hundred miles only when you stop for meals and gasoline do not stop until you get to your destination about every two hours or one hundred miles submit answer
In order to keep the attention and reduce the risks that come with driving too much without a break, it is generally advised to take a break of at least 15 minutes every two hours and to limit your driving time to no more than eight hours per day during a long trip.
What is a long trip?
Driving over extended periods of time without rest can be quite dangerous, despite how alluring it may be on a road trip to do so in order to reach your goal as quickly as possible.Frequent breaks are essential to maintaining a high standard of safe, efficient driving since driving requires a lot of concentration, expertise, and control that is challenging to maintain for hours on end.In order to keep the attention and reduce the risks that come with driving too much without a break, it is generally advised to take a break of at least 15 minutes every two hours and to limit your driving time to no more than eight hours per day during a long trip.
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Select two values that can replace
to make the inequality true.
5.436 < I NEED ANSWER FASTT
Answer:
D and B
Step-by-step explanation:
Just solve each one
Robin invested $1000 in a 12% simple interest savings deposit for 3
years. He also invested an equal amount in a 10% compound interest
savings deposit for 3 years. At the end of 3 years, how much more
interest did he get from the simple interest deposit?
Step-by-step explanation:
Lets find out,shall we?
Simple interest=(PRT)/100
=$1000×12×3)/100
=$360
Now for compound interest
A=P(1+R/100)^t
A=$1000(1+12/100)^3
A=$1404.928
so interest for compound interest=$(1404.928-1000)=$404.928
Clearly,Robin got more interest by compound interest than simple interest which business people understand lol.
Difference in interest=$404.928-360=$44.928
HELP DUE IN 20 MINS!!!!!!
Answer:
10 miles
Step-by-step explanation:
Set up a proportion: [tex]\frac{15}{1.5} = \frac{x}{1}[/tex] Cross multiply, then divide: 15 × 1 = 15, 15 ÷ 1.5 = 10So, Jessica can run 10 miles in 1 hourI hope this helps!
For each question:
1) write the equation
2) Generate at least two ordered pairs
3) Graph them.
1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422.
2) Bob paid a $25 sign-up fee for streaming content, plus $12 per month for his subscription
Answer:
2
Step-by-step explanation:
Answer:
I dont know either but nobody wants to answer this question and just steal points.
Step-by-step explanation:
sorry u dont have the answer.
Jim began a 146-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 5 hours. If Jim walks at a rate of 4 miles per hour and rides at 40 miles per hour, find the amount of time he spent on the bicycle.
Answer:
3.5 hours
Step-by-step explanation:
Let us represent
The time spent walking as x
The time spent riding as y
Jim began a 146-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 5 hours.
Hence:
x + y = 5.... Equation 1
x = 5 - y
If Jim walks at a rate of 4 miles per hour and rides at 40 miles per hour,
The formula for Distance = Speed × time. Hence,
4 × x + 40 × y = 146 miles
4x + 40y = 146.... Equation 2
We substitute 5 - y for x in Equation 2
4(5 - y) + 40y = 146
20 - 4y + 40y = 146
Subtract 20 from both sides
20 - 20 - 4y + 40y = 146 - 20
- 4y + 40y = 146 - 20
36y = 126
y = 126/36
y = 3.5 hours
Since the time he spent raiding his bicycle is represented by "y", the amount of time he spent on the bicycle is 3.5 hours
Consider the population of part-time college students. Suppose that 60% of this population is female. Here is the sampling distribution for the proportion of females in random samples of n students. The standard deviation is approximately 0.10. Lines indicate a distance of 1 and 2 standard deviations above and below the mean.
Answer:
The answer is "1.5".
Step-by-step explanation:
Given value:
[tex]p= 60 \% = \frac{60}{100}= 0.60\\\\\sigma_p = 0.10 \\\\\hat{p} =0.75[/tex]
testing the statistics:
[tex]Z= \frac{\hat{p} -p}{\sigma_p}\\\\[/tex]
[tex]=\frac{0.75-0.60}{0.10}\\\\=\frac{0.15}{0.10}\\\\=1.5[/tex]
If a grapefruit costs $0.94, how much would 9 grapefruits cost?
Answer:
$8.46
Step-by-step explanation:
(0.94)(9) = 8.46
pls give me brainliest
Answer:
$8.46
Step-by-step explanation:
.94 x 9 = 8.46
22) Find the measure of angle A to the nearest degree. Find the length of side b, to tenths.
Answer:
m∠A = 31
b = 13.3
Step-by-step explanation:
The quotient of 32 and a number is -4
if im right its 32 / n = -4
if your meant to solve it its -8
e + f =48
e=3f
Plz help - thanks
Answer:
[tex]given \: \\ \\ e = 3f \\ e + f = 48 \\ \\ 3f + f = 48 \\ 4f = 48 \\ f = \frac{48}{4} \\ f = 12 \\ so. \\ e = 3 \times 12 = 36[/tex]
plzz mark it as a brilliant ansHelp fast please
Write each number using scientific notation
Step-by-step explanation:
uwhhsmousyhajjijajhfihagghe
Answer:
Step-by-step explanation:
11. 5.2 * 10^-6
12. 8.3 * 10^2.
In rhombus MNOP, side NO equals 45mm. What is the length of
OP
PM+MN
the length of side OP of rhombus is 45 mm and PM + MN is equal to 90 mm.
We are given a rhombus MNOP
We know that, a rhombus is a quadrilateral in which there are 4 sides and all the sides are equal.
We are given the length of the side NO as:
NO = 45 mm
Now, we need to find the length of side OP.
OP = 45 mm ( as NO = OP)
Also, we need to find PM + MN
PM + MN = NO + NO ( as PM = MN = NO )
= 2 NO
= 2 × 45 mm
= 90 mm
Therefore, we get that, the length of side OP of rhombus is 45 mm and PM + MN is equal to 90 mm.
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pls help will mark as brainliest
What sum is represented by the arrow diagram?
Answer:
Would it be 1?
Step-by-step explanation:
I'm not that sure but it seems it goes up to 4 so 4- -3 = 1. Exuse me if my wrong..
Can some one help please i just need an correct anwsers
Answer:
the last one 5/25
Step-by-step explanation:
Explain how to divide negative and positive rational numbers.
Answer:
The rule for multiplying and dividing rational numbers
Ok so if both numbers are negative or positive the answer will be positive. but if one number is positive and the other is negative the answer is negative.
Hope this helps
Brainliest please
can some one answer this
Divide -1/6 divided -2/9
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator, leaving the negative sign on the numerator, and changing the operation to multiplication. Then the equation becomes
For fraction multiplication, multiply the numerators and then multiply the denominators to get
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 9 and 12 using
Answer:
Fraction Form:[tex]\frac{3}{4}[/tex] ///// Decimal Form: 0.75
Step-by-step explanation:
Reduce the expression,if possible,by reducing the common factors.
what is equivalent to 2/3 - (-3/4) + 5/4
isnt It imporoper
................,,,,
Answer:
Can I get brainiest?
Step-by-step explanation:
(-1,2) and (-4,8)
Find the slope of the line that contains the point
1. 2
2. 6/5
3. -2
4. -6/5
Answer:
-2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 8 -2)/(-4- -1)
= (8-2)/(-4+1)
= 6/-3
= -2
-6z = 72 solve for z
Answer:
-12
Step-by-step explanation:
72 / -6 = -12
Answer:
-12
Step-by-step explanation:
72 divided by -6= -12
compute: 3/8 divided -0.25
Answer:
-1.5
Step-by-step explanation:
3/8 is 0.375 in decimal form
Answer:
-1.5
Step-by-step explanation:
Please help. The question is in the pictures. Thanks :)
Answer:
d
hope thois helped!
Step-by-step explanation:
whats the answer giving brainliest :)
Answer:
u deleted my first anwser-
Step-by-step explanation:
ur dum i was right :)