Answer:
32
Step-by-step explanation:
Given :
P ∝ Q⁻¹ or P ∝ 1/QFinding the propotionality constant
P = k/Q12 = k/8k = 12 * 8 = 96Finding P in Case (ii)
P = k/QP = 96/3P = 32Pls someone number 8
Answer:
3 7/8 liters of rice
Step-by-step explanation:
[tex]1 \frac{5}{8} + 2 \frac{1}{4} [/tex]
[tex]1 \frac{5}{8} + 2 \frac{2}{8} = 3 \frac{7}{8} [/tex]
please help me i don't get it
Area = length x width
area of files = 30 x 20 = 600 square feet
area of unmoved field = 16 x 26 = 416 square feet
area that was mowed = 600 - 416 = 184 square feet
answer: 184 square feet
Answer:
184 ft
Step-by-step explanation:
so, for this, the key is the smaller dimentions on the inside, they are the area of the smaller inner rectangle (416 ft) and the bigger dimentions on the outside, are for the entire rectangle including the mowed area (600 ft), but you dont know the exact value of the mowed area, so you would simply subtract the areas (600-416=184) and that number, 184, is the area of the mowed area that you didnt know.
hope this helps
kleann
Open-Ended Write an equation for the line in slope-intercept form. Use pencil and paper. Which part of writing the equation is the most difficult? The easiest?
Explain.
Answer:
y=3x-2, The most difficult part is finding the m or slope. The easiest part is identifying the y-intercept
Step-by-step explanation:
Use the slope formula
Classify angles below as acute,obtuse,right,straight or reflex.
Answer:
Top is straight
Middle is reflex
Bottom is acute
Step-by-step explanation:
Straight is self explanatory
Reflex angles are greater than 180 and less than 360 degrees
Acute angles are under 90 degrees
Answer:
the very top one is straight.
8. reflex (because over 180 degrees)
9. acute (under 90 degrees)
If 30% of the 1000 cars on a lot are not hybrids, and 45% are not sedans, how many cars on the lot are hybrid sedans?
The number of cars that are hybrid sedans are = 250 cars
Calculation using a Venn diagramThe value of 30% of 1000 = 30/100× 1000
= 300 cars are not hybrids.
Therefore the number of cars that are hybrids = 300 - x
The value of 45% of 1000 = 45/100 × 1000
= 450 cars are not sedans
Therefore the number of cars that are sedans
= 450 - x
Where X is the cars that are both hybrid and sedans
Using the Venn diagram equation,
1000 = 300 -x + X + 450 - x
1000 = 750 - X
X= 750 - 1000
X = 250 cars
The number of cars that are hybrid is 300 - x where X = 250.
300 - 250 = 50 cars
The number of cars that are sedans is 450 - x. That is,
450 - 250 = 200 cars
Therefore, the cars that are both hybrid and sedans = 250 cars.
Learn more about Venn diagram equation here:
https://brainly.com/question/24581814
Find the value of f(5) for the function.
F(x)=6+3x
Answer:
21
Explanation:
To solve this problem, you substitute in the 5 for the x creating this equation: f(5)=6+3(5).
f(5)=15+6
f(5)=21
The base of an isosceles triangle is represented by the expression 3x - 1. Each of the legs of the isosceles triangle is twice the base. Write an expression for the perimeter of the triangle listing each side. Simplify the expression. (if possible show your work.)
Answer: 15x-5
Step-by-step explanation:
caitlyn is on her school's softball team. so far Caitlyn has 39 hits in 75 times at bat. what is her batting average?
Answer:
0.52
Step-by-step explanation:
[tex]batting \: average \: = \frac{39}{75} \\ = 0.52[/tex]
A student spent $18 for a haircut this week. Which event, when combined with the student spending $18, will result in the student having $0 remaining?
A. The student earned $18 for cleaning out his neighbor's garage.
B. The student paid his little brother $18 for doing his chores.
C. The student purchased a gift for his mom for $18.
D. The student gave $18 to a friend.
Answer:
A. The student earned $18 for cleaning out his neighbor's garage.
Step-by-step explanation:
Since it given that a student spend $18 for a haircut this week also means that she/he gave away $18 also known as -$18.
Thus, base on the given answer choices:
[A] is the only one that can make it positive.
Going through all answer choice:
A. The student earned $18 for cleaning out his neighbor's garage.
Earned = +
B. The student paid his little brother $18 for doing his chores.
Paid = -
C. The student purchased a gift for his mom for $18.
Purchased = -
D. The student gave $18 to a friend.
Gave = -
Hence, Answer is A. The student earned $18 for cleaning out his neighbor's garage.
~lenvy~
Answer:
A. The student earned $18 for cleaning out his neighbor's garage.
Step-by-step explanation:
Since given that A student spent $18 for a haircut this week and asking for Which event, when combined with the student spending $18, will result in the student having $0 remaining
Thus, we know that spending is negative because we are using it so it -18
Base on the given answer choice below we can infer that
earned = +
Paid = -
Purchased = -
Gave = -
The only way to make it back with a $0 is to add $18
Thus the answer is A. The student earned $18 for cleaning out his neighbor's garage.
[RevyBreeze]
The perimeter of arectangular poultry farm is 38 meter . if 3 meter subtracted from its length and 2 meter from its breadth , the length will be two times the breadth .find the area of the farm
Answer:
82 2/9 square meters
Step-by-step explanation:
The problem statement gives us two relations between length and width. We can write those using equations and the variables L and W for length and widh, in meters.
P = 2(L +W) . . . . . . formula for the perimeter of a rectangle
38 = 2(L +W) . . . . . the perimeter is 38 meters
(L -3) = 2(W -2) . . . . length less 3 is twice the difference of wdith and 2.
__
Dividing the first equation by 2 gives ...
19 = L +W
Solving this for L gives ...
L = 19 -W
Substituting for L in the second equation, we have ...
(19 -W) -3 = 2(W -2)
16 -W = 2W -4 . . . . . . . simplify
20 = 3W . . . . . . . . . . . add W+4
W = 20/3 . . . . . . . . . divide by 3
L = 19 -20/3 = 37/3 . . . . find L from W
__
The area of the farm is the product of length and width:
A = LW = (37/3 m)(20/3 m) = 740/9 m²
A = 82 2/9 m²
The area of the farm is 82 2/9 square meters.
There are 30 students in Ava’s class. Nine of them belong to the Pep Club. What fraction of the class are Pep Club members?
Answer:
total no. of students=30
pep club students =9
:=9/30 divide by 3
;=3/10
A shop keeper sold 7 3/4 kg, 2 1/2 kg and 3 3/5 kg of sugar to three customers in a day. Find the total weight of sugar on that day?
Pls it is urgent
Answer:
13.85kg
Step-by-step explanation:
7 3/4=7.75
2 1/2=2.5
3 3/5=3.6
7.75+2.5+3.6
=13.85kg
Need this please, asap
Answer:
2√13
Step-by-step explanation:
15-9 to find a^2, 4 is b^2, and then pythagorean thereoum, a^2+b^2=c^2.
Answer:
Step-by-step explanation:
The base of the triangle used to solve for x (Pythagorean Theorem) is 15 - 9 = 7
The height of the right triangle is 4 so now you have enought to solve for x
Givens
a = 7
b = 4
c = x
Equation
x^2 = b^2 + a^2
Solution
x^2 = 7^2 + 4^2
x^2 = 49 + 16
x^2 = 65 Take the square root of both sides
√x^2 = √65
Answer x = √65
What is the slope of the line that passes through the points (-5, 6)and (-9,−6)? Write your answer in simplest form.
Answer:
4/5
Step-by-step explanation:
the slope formula is y(2)-y(1)/x(2)-x(1) which is
-6-6/-9-6=
-12/-15=
4/5
Is –43 − –7 positive or negative?
First, -43-(-7) is the same as -43+7, which is equal to:-
-36
Is the answer positive or negative? The sign in front of 36 will tell us whether the number is positive or negative.
It is negative, because there's a minus sign next to it.
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
positive
Step-by-step explanation:
hope this helps.
if the circumference of a round plate is a little over 31 inches. Estimate the diameter of the plate
Answer:
Step-by-step explanation:
diameter = circumference / π
= 31/π
= 9.9 ins to nearest tenth
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Answer:
Step-by-step explanation:
Both lines have same slope so the graph of both equation will be same and hence it will overlap each other that is why the Henry could only see one line.
Step-by-step explanation:
Given : A system of linear equation 3x - 2y = 4 and 9x - 6y = 12
We have to show whey when Henry graphed the equations 3x-2y=4 and 9x-6y=12 he could only see one line.
Consider the given system of linear equation
3x - 2y = 4 ................(1)
9x - 6y = 12 ..................(2)
Since,
Equation (2) is multiple of equation (1),
3 × ( 3x - 2y = 4) = 9x - 6y = 12
Also the slope of given equations are same
For equation (1),
Differentiate with respect to x, we get,
3-2dy/dx = 0
dy/dx = 3/2
Also for equation (2),
Differentiate with respect to x, we get,
9 - 6dy/dx = 0
dy/dx = 9/6 = 3/2
Since, both lines have same slope so the graph of both equation will be same and hence it will overlap each other.
That is why the Henry could only see one line.
I need help, please and thank you
Answer:
See below ↓
Step-by-step explanation:
Problem
[tex]\frac{5x}{x+7} + \frac{7}{x}[/tex]Work
[tex]\frac{5x(x)+7(x+7)}{x(x+7)}[/tex][tex]\frac{5x^{2} +7x+49}{x(x+7)}[/tex]The student's mistake was that instead of taking x(x + 7) as the LCM (Least Common Multiple), he took x + 7, which is not possible in this caseSolution
[tex]\frac{5x^{2} +7x+49}{x(x+7)}[/tex]risa loaned Abi $50 for a month. She charged 5% weekly simple interest for the month. How much did Abi have to pay Risa?
since the rate is a weekly basis, the period will also be in a weekly basis, so t = 4, assuming a month to be 4 weeks.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$50\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=weeks\dotfill &4 \end{cases} \\\\\\ A=50[1+(0.05)(4)]\implies A=50(1.2)\implies A=60[/tex]
4x+8y=-11
X+2y=-7
Show your work
Answer:
No solutions.
Step-by-step explanation:
4x+8y=-11 (1)
X+2y=-7
Mutiply the second equation by -4:
-4x - 8y = 28
Now add this equation to equation (1):
0 + 0 = 17
which is absurd
So there are no solutions
In the figure, AC = BC. Find the value of b.
Since AC = BC, we can say that this triangle is isoceles (at C)
In an isoceles triangle, the two angles that does not belong to the top angle (which in this case is C) is equal to each other.
Now, we can find the sum of the 2 missing angles : 180 - 52 = 128.
And since they are equal, we can find b : 128 : 2 = 64/
Answer:
nearly like 63 or 66
Step-by-step explanation:
use the protractor.
Which measure would be best to estimate the amount of fabric
necessary to make an umbrella?
1) volume of a sphere
2) surface area of a sphere
3) volume of a hemisphere
4) surface area of a hemisphere
Surface area of a hemisphere would be best to estimate the amount of fabric necessary to make an umbrella.
What is hemisphere?A three-dimensional solid called a hemisphere is exactly half the size of a sphere.
To find the amount of fabric that is necessary to make the umbrella.
Since, the shape of umbrella is like hemisphere.
And to find the amount of fabric of umbrella would be equal to surface area of hemisphere.
Implies that,
Amount of fabric of umbrella = surface area of hemisphere.
Hence, option (D) is correct.
To know more about Hemisphere on:
https://brainly.com/question/23178590
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Find the volume of the cylinder. Explain or show your reasoning. All measurements are in centimeters
Answer:
200π cm³ (in term of π)
628 cm³ (when define π = 3.14)
Step-by-step explanation:
Given:
radius of circular base = 5height = 8Volume of Cylinder:
[tex]\displaystyle \large{V=\pi r^2h}[/tex]
If you notice, the volume of cylinder is area of circular base * height.
Input given information in the formula:
[tex]\displaystyle \large{V=\pi \cdot 5^2 \cdot 8}[/tex]
Evaluate:
[tex]\displaystyle \large{V=\pi \cdot 25 \cdot 8}\\\displaystyle \large{V=200 \pi}[/tex]
Since all measurements are in centimeters. Therefore, our unit is cm³ since we are finding volume which is three-dimensional.
Fact
cm is used for one-dimensional measurement such as line.cm² is used for two-dimensional measurement such as area.cm³ is used for three-dimensional measurement such as volume.However, you didn’t specific which π value/digit should we use so I’ll only put both solutions in where first being in term of π and second being 3.14.
Therefore, the volume is:
200π cm³628 cm³The rate for shipping by air express is $8.50 per 100 kg.
Which is the cost for a 250 kg shipment?
Answer:
It will cost $21.25
Step-by-step explanation:
We can use ratios to solve
8.50 x
-------- = -----------
100 kg 250 kg
Using cross products
8.50 * 250 = 100 x
Divide each side by 100
8.50 * 250/100 = x
21.25 = x
It will cost $21.25
what is the period of the function y=3/2cot(3/5x)+5?
check the template in the picture below, thus
[tex]y = \stackrel{A}{\cfrac{3}{2}}cot\stackrel{B\qquad C}{\left( \cfrac{3}{5}x + 0 \right)}+\stackrel{D}{5}~\hfill \stackrel{\textit{\Large Period}}{\cfrac{\pi }{B}\implies \cfrac{\pi }{~~ \frac{3}{5}~~}\implies \cfrac{5\pi }{3}}[/tex]
If x is located at -2 and y is located at -5, find Z such that XY is divided into a 2:1 ratio
Answer:
z = -4
Step-by-step explanation:
Given :
x = -2y = -5z divides xy in the ratio 2 : 1 (m : n)Solving :
Take the section formulaz = [my + nx] / [m + n]z = [2 x -5 + 1 x -2] / [2 + 1]z = -10 - 2 / 3z = -12 / 3z = -4estimate the following square roots
8 is between ___ and ___ but closer to____
80 is between ___ and ___ but closer to____
140 is between ___ and ___ but closer to____
88 is between ___ and ___ but closer to____
250 is between ___ and ___ but closer to____
Answer:
8 is between 2 and 3 but closer to 3
80 is between 8 and 9 but closer to 9
140 is between 11 and 12 but closer to 12
88 is between 9 and 10 but closer to 9
250 is between 15 and 16 but closer to 16
Step-by-step explanation:
Hope this helps :)
The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part.
Answer:
Step-by-step explanation:
The total shaded area = area of the square - area of a circle
= 9^2 - π * 4.5^2
= 17.3827
The 2 shaded parts both have area 8.69 unit^2 ( to nearest hundred)
Perimeter:
The perimeter of the top shaded part
= AB + 1/2 circmference of the circle
= 9 + 1/2 * 2 π r
= 9 + 14.137
= 23.14 units ( to nearest hundredth)
The bottom part has the same perimeter.
Answer:
area: 17.38 cm²perimeter: 46.27 cmStep-by-step explanation:
You want the perimeter and area of the part of a 9 cm square remaining after a semicircle is removed from two opposite sides.
AreaThe shaded area is the area of the 9 cm square less the area of a 9 cm circle. That area is ...
A = s² - π(s/2)² = s²(1 -π/4) . . . . . where s is the side length of the square
A = (9 cm)²(1 -π/4) ≈ 17.38 cm²
The area is about 17.38 cm².
PerimeterThe perimeter is the circumference of the circle plus two sides of the square.
P = C +2s
P = πs +2s = s(π+2)
P = (9 cm)(π+2) ≈ 46.27 cm
The perimeter is about 46.27 cm.
<95141404393>
Find y.
Round to the nearest tenth:
290
500 ft
y
X
y = [ ? ]ft
Answer:
y = 242.4x = 437.3First find the inner angle:
90° - 29°61°[ given hypotenuse = 500 ft ]
using sine rule:
[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]
[tex]\hookrightarrow \sf sin(61)= \dfrac{x}{500}[/tex]
[tex]\hookrightarrow \sf x=sin(61)*500[/tex]
[tex]\hookrightarrow \sf x=437.3[/tex]
using pythagoras theorem:
a² + b² = c²y² + (437.3)² = 500²y = √58760.1y = 242.4Answer:
y = 242.4 ft (nearest tenth)
Step-by-step explanation:
Using the Alternate Interior Angle Theorem
the angle opposite side [tex]y[/tex] is 29°
Using the sine trig ratio:
[tex]\sf sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 29°O = [tex]y[/tex]H = 500 ftSubstitute given values and solve for y:
[tex]\sf \implies sin(29)=\dfrac{y}{500}[/tex]
[tex]\sf \implies y=500sin(29)[/tex]
[tex]\sf \implies y=242.2\:ft\:(nearest\:tenth)[/tex]
What are all the values of x that make the inequality 8 - 3x < 20 true?
Let's solve this inequality.
First of all, subtract 8 from both sides:-
[tex]\sf{-3x < 20-8}[/tex]
[tex]\sf{-3x < 12}[/tex]
Divide both sides by -3:-
[tex]\sf{x > -4}[/tex]
Notice that the inequality sign changed...
Here's the rule:-
When you multiply/divide both sides by a negative number, you flip the inequality sign; so if we have "less than" it becomes "greater than" and so on...
So these are the values of x that will make the inequality true:-
[tex]\bigstar{\boxed{\pmb{The~numbers~greater~than~-4}}}[/tex]
Well, -3 is greater than 4 :)
Let's plug it in and see if it makes the inequality true:-
-3>-4
Yes, it does make the inequality true :)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)