Answer:
why don't you copy and paste it
The mean weight of females in a class is 60kg and that of the males is 72kg. If the mean
weight of the class is 68kg, what is the ratio of females to males in the class?
Answer:
1:2
Step-by-step explanation:
Let's say there are x males and y females in the class.
The sum of all male weights will be 72x, and the sum of all female weights will be 60y.
If we get a class mean weight, we have:
(72x + 60y) / (x+y) = 68
72x + 60y = 68x + 68y
4x = 8y
y / x = 4/8 = 1/2
So the ratio of females to males is the class is 1:2
Sales Gi sells televisions. He earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty. If Gi sells 14 televisions with extended warranties, he earns $ 1 comma 190. How much is the fixed amount Gi earns for each television? The fixed amount Gi earns for each television he sells is $ nothing.
Answer:
The fixed amount Gi earns for each television he sells is $ 55.
Step-by-step explanation:
If Gi sold 14 televisions and earnt a total of $1,190, then for each television that was sold he earnt:
per tv = total earnt/total sold
per tv = 1190/14 = 85
Since he sold all these televisions with warranty, then he earned "x + 30" per each tv sold, since he got the bonus from the warranty. Therefore the fixed amount he earns per tv is:
x + 30 = 85
x = 85 - 30
x = 55
The fixed amount Gi earns for each television he sells is $ 55.
Write an equation to solve for the value of x. What is the value of x in the figure shown?
Answer:12
Step-by-step explanation:37=3x+1
Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
algebraically
O (325)
(-3, 49)
(3,25) and (79)
(-3, 49) and (-7, 65)
Answer:
The answer is c
Step-by-step explanation:
(7,9) (3,25)
The solution sets of the given system of equations are (3,25) and (7,9).
Given equations are :
[tex]y=-x^{2} +6x+16[/tex]........(1)
[tex]y=-4x+37[/tex]...........(2)
What is an equation?An equation is a statement that equates to two expressions.
So, for the solutions of the given system of equations
[tex]-x^{2} +6x+16=-4x+37[/tex]
[tex]x^{2} -10x+21=0[/tex]
[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]
[tex](x-3)(x-7)=0[/tex]
So, [tex]x=3[/tex]
[tex]x=7[/tex]
Corresponding y value for x=3
[tex]y=-4*3+37\\y=25[/tex]
Corresponding y value for x=7
[tex]y=-4*7+37[/tex]
[tex]y=9[/tex]
Hence, the solution sets of the given system of equations are (3,25) and (7,9).
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The diagram shows a square-based cuboid.
10 cm
4 cm
Work out the volume of the cuboid.
State the units of your answer.
Answer:
400 cubic cm
Step-by-step explanation:
Given that base is square and is side is 10 cm
area of square is given by side^2
Thus, area of base of cuboid = [tex]10^2[/tex] square cm = 100 sq. cm
We know volume for any cuboid is area of base * height
height is 4cm
thus, volume of cuboid = area of base of cuboid * height
= 100 * 4 cubic cm = 400 cubic cm
Volume of cuboid is 400 cubic cm.
Unit is cubic cm
The volume of square based cuboid is [tex]400cm^{3}[/tex].
Given that, base is square and side of base is 10 cm.
Height of the square-based cuboid.is 4cm.
Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]
Volume of the cuboid is multiplication of base area and height of the cuboid.
[tex]Volume=100*4=400cm^{3}[/tex]
Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].
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a line passes through (2,-6) and had a slope of 5/2. Write an equation in slope-intercept form for this line.
Answer:
work is shown and pictured
Solve the equation.
-9x + 1 = -x + 17
X=-8
O X=-2
X = 2
X = 8
Answer:
-9x + x = 17 – 1
8x = 16
X = 16/8
X=2
please help! i do not understand
Answer:
90%
Step-by-step explanation:
Complimentary means the same. And adding them together would equal 90. Just as you would divide 90 by 3, each individual angle would be equal to 30.
The combustion of 0.25 mol of an unknown
organic compound results in the release of 320 kJ
of energy. Which of the compounds in the table
could be the unknown compound?
Answer:
ethanol
Step-by-step explanation:
The enthalpy of combustion is the amount of heat produced when one mole of ethanol undergoes complete combustion at 25 ° C and 1 atmosphere pressure, yielding products also at 25 ° C and 1 atm.
The enthalpy of combustion of the unknown compound is
ΔH = - 320 kJ / 0.25 mol = - 1280 kJ / mol
To choose a probable compound according to this combustion enthalpy, we must evaluate the deviation in relation to the values reported in the literature for the three probable compounds (methane, ethylene and ethanol). The deviation (e%) will be calculated according to the following equation,
e% = ( | ΔHx - ΔH | / ΔHx ) x 100%
where ΔHx is the enthalpy of combustion of the probable compound.
The following table shows the combustion enthalpies of the probable compounds and their deviation in relation to the enthalpy of ΔH = - 1280 kJ / mol
Compound Enthalpy of combustion (kJ/mol) Deviation
Methane - 890.7 43.8%
Ehylene -1411.2 9.3%
Ethanol -1368.6 6.5%
According to the previous table, we can say that the most probable compound is ethanol, since it has the smallest deviation in relation to the experimental enthalpy value of combustion.
Read more on Brainly.com - https://brainly.com/question/12081414#readmore
Answer: ethanol
Step-by-step explanation:
Got it right on edge
Terry has 3 pairs of pants: black, khaki, and brown, and 4 shirts: yellow, red, blue, and white. He does not care which colors he wears together. If Terry chooses one pair of pants and one shirt at random, what is the probability that his outfit will be the black pants with the yellow shirt?
Answer:
1/12 my guy
Step-by-step explanation:
There really isn't one
Answer:
Would be 0.08333 or 1/12
Step-by-step explanation:
Hunter earned a grade of 5% on his multiple-choice math final that had a total of 60 problems. How many problems on the final exam did Hunter answer correctly?
Answer:
3
Step-by-step explanation:
From the information given in the statement, you can find the number of problems that Hunter answered correctly by calculating the 5% of 60. This because 5% is the grade that he got which means that he only had 5% of his answers correctly and 60 is the total number of problems:
60*5%= 3
According to this, Hunter answered correctly 3 problems on the final exam.
The data on ages at which a sample of 35 fathers had their first child show a mean 25.43 and standard deviation 5.19. Define the population parameter of interest in this context.
Answer:
Step-by-step explanation:
A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.
Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.
find angle C! please and thankyou
Answer: it's around 40
Step-by-step explanation:
work out
3/17 x 17/21
write the answer in its lowest form
3 × 17 over 17 × 21 with the first as numerator and second one as denominator
We can see that both the 17 can nullify so we are left with ³/21 and simplify to get ¹/7
The expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]
From the question,
We are to evaluate 3/17 x 17/21
First, we will write the expression properly
The expression can be written as
[tex]\frac{3}{17} \times \frac{17}{21}[/tex]
The expression can be evaluated as shown below
[tex]\frac{3}{17} \times \frac{17}{21}[/tex] becomes
[tex]\frac{3 \times 17}{17 \times 21}[/tex]
Simplifying, we get
[tex]\frac{3}{21}[/tex]
Further simplification gives
[tex]\frac{1}{7}[/tex]
Hence, the expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]
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A city is divided by a river. The portion of the city east of the river covers 25% of the city and has a population density of 28 people/km2. The portion on the west side of the river has a population density of 17 people/km2. Find the population density of the city as a whole.
Answer:
The answer is 19,75 people / km2
Step-by-step explanation:
Let's say that the total area of the city is 4 kilometer squares. In that case, the east of the river, which is 25% of the city, is 1 kilometer square. This means that the population is 28 on the east side of the city
The west side of the city is 3 kilometer squares, which means the population is 17 x 3 = 51.
The total population of the city is 51 + 28 = 79 and the total area is 4 kilometer squares. So the population density of the city as a whole is
79 / 4 = 19,75 people per kilometer square.
I hope this answer helps.
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.
What is the length of the arc?
Answer:
length of the arc = 6.28 ft
Step-by-step explanation:
[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]
Carlos bought 80 feet of wire for $17.60. He needs 30 more feet. If the unit price is the same, how much will he pay for the extra 30 feet of wire?
Answer:
Carlos bought 80 feet of wire for $17.60.
Then the price for 1 feet of wire is 17.6/80 = 0.22
=> 30 feet of wire would cost: 30 x 0.22 = 6.6
Hope this helps!
:)
solve system of linear equations by substitution -2x+9y=15
x+7=4
Answer:
1
Step-by-step explanation:
-2x+9y=15
x+7=4
Solve for X.
x +7=4
-7. -7
x = -3
Plug in X into the first equation
-2(-3) + 9y = 15
6 + 9y = 15
-6. -6
9y = 9
Divide by 9 on both sides
9/9=1
Answer:
x = -3. | y = 1. | (-3,1)
Step-by-step explanation:
-2x+9y=15
x+7=4
-7. -7
x= -3
-2(-3) + 9y =15
6 + 9y= 15
-6. -6
9y = 9
÷9. ÷9
y = 1
Geometry Question!!!!
Answer:
D
Step-by-step explanation:
If AB is a tangent, then angle A must be a right angle.
If angle A is a right angle, then triangle ABC is a right triangle and will work in the Pythagorean theorem formula.
a^2 + b^2 = c^2
8^2 + 16^2 = 20^2
64 + 256 = 400
320 = 400
Since 320 = 400 is false, angle A is not a right angle, and AB is not a tangent to circle C.
Answer: D
Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest
will she have earned if her rate is 5.5% compounded annually?
(1) $3159.70 (2) $2936.27 (3) $2942.27
(4) $2925.27
Answer: $2936.27
Step-by-step explanation:
Present value = $1663
Rate = 5.5%
Time(n) = 19years
Future value= PV(1+r)^n
= 1663(1+5.5%)^19
= 1663(1.055)^19
=1663 × 2.766
=4599.86
Interest = Future value - Present value
= $4599 - $1663
= 2936
Solve 8.2ws 29.52. Which of the following must be true abo
OWS36
The arrow points left
The arrow points right
There is an open circle at 3.6.
There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
A- w less-than-or-equal-to 3.6
B- The arrow points left.
E- There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
The family size bottle of shampoo holds 10 fluid ounces (fl. oz.) of sunscreen. The regular bottle holds 70% percent less. How many fluid ounces does the regular bottle of shampoo hold?
Answer: 3 fluid ounces
Step-by-step explanation:
The family size bottle of shampoo holds 10 fluid ounces of sunscreen while the regular bottle holds 70% percent less.
To get the fluid ounces the regular bottle of shampoo will hold, we find 70% of 10 fluid ounces and them subtract from 10 fluid ounces. This will be: = 70% of 10 ounces
= 7/10 × 10
= 7 fluid ounces.
Since the regular holds 70% less, week subtract 7 fluid ounces from 10 fluid ounces. This will be:
= 10 ounces - 7 ounces
= 3 ounces.
The regular bottle of shampoo holds 3 fluid ounces.
6 radians is the same as____
Round to the nearest hundredth of a degree.
Answer:
343.77
Step-by-step explanation:
1 radian is about 57.2958 degrees
so 57 times 6 is about 343.77
Find the total volume of the rectangular prisms.
A) 88 units3
B) 96 units3
C) 104 units3
D) 114 units3
Answer:
C) 104 units^3
Step-by-step explanation:
The formula for volume in a rectangular prism is V=lwh
There are three total rectangular prisms, so take the volume of each individual prism and add them together to get the total volume.
smallest: V=(2)(2)(4) = 16
Medium: (2)(2)(6) = 24
Largest: (2)(2)(16) = 64
Add it together: 16+24+64= 104
Your answer is 104 units^3
:)
To the nearest foot, what is the radius of the Ferris wheel if you traveled 157 feet? feet
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometryCircumference Formula(s):
[tex]\displaystyle\begin{aligned}C & = 2 \pi r \\& = \pi d\end{aligned}[/tex]
where d is the diameter and r is the radius.
ApplicationStep 1: DefineLet's organize what is given to us in the problem.
We are given that we are riding a Ferris wheel and have traveled 157 feet.
Step 2: SolveLet's find the radius of the Ferris wheel, which can be geometrically described as a circle. We use the Circumference Formula found above:
[Circumference Formula] Substitute in known variables (take π ≈ 3.14):∴ the radius of the Ferris wheel is equal to 25 feet.
Answer*Note: A similar question is found here w/ two different answers - https://brainly.com/question/8607274
The radius of the Ferris wheel is equal to 25 feet. The diameter of the Ferris wheel is equal to 50 feet. Recall that diameter is 2x the radius.
___
Learn more about circles: https://brainly.com/question/15306477
Learn more about Geometry: https://brainly.com/question/23669892
___
Topic: Geometry
Unit: Circles
Answer:
50 feet
Step-by-step explanation:
trust
Which equation could be used to calculate the sum of the geometric series?
One-third + two-ninths + StartFraction 4 Over 27 EndFraction + StartFraction 8 Over 81 EndFraction + StartFraction 16 Over 243 EndFraction
Answer:
A
Step-by-step explanation:
edge 2020
Answer:
its A
Step-by-step explanation:
State if each sequence is geometric
1, -3, 9, -27
A)Yes
B)No
Answer:
Yes
Step-by-step explanation:
since it is being multiplied by -3 each time its geometric
Solve the system of inequalities and indicate all the integers which are in the solution set:
[tex]\left \{ {{3-2a\ \textless \ 13} \atop {5a\ \textless \ 17}} \right.[/tex]
Answer:
-5 < a < 3.4
Step-by-step explanation:
3 - 2a < 13
3 - 13 < 2a
2a > -10
a > -5
5a < 17
a < 3.4
Solution:
-5 < a < 3.4
Step-by-step explanation:
Step 1: Find the solution to the first equation
[tex]3 - 2a < 13[/tex]
[tex]3 - 3 - 2a < 13 - 3[/tex]
[tex]-2a < 10[/tex]
[tex]-2a / -2 < 10 / -2[/tex]
[tex]a > -5[/tex]
Step 2: Find the solution to the second equation
[tex]5a < 17[/tex]
[tex]5a / 5 < 17 / 5[/tex]
[tex]a < 3.4[/tex]
Answer: [tex]-5 < a < 3.4[/tex]
Positive ÷ positive = ?
Answer:
positive
Step-by-step explanation:
Grace made a dot plot showing the distances she ran each day for two weeks. She says that she usually runs 7 miles each day because that is the distance that occurs most often. Do you agree with Grace's reasoning?
Answer: No
Step-by-step explanation:
Because Mode is not the best centre of tendency use for statistical data. And mode cannot be used for average.
Mean should be used for average values
Answer:
da ba dee da ba doo im blue
Step-by-step explanation:
Grace made a dot plot showing the distances she ran each day for two weeks.
She says that she usually runs 7 miles each day because that is the distance that occurs most often.
Do you agree with Grace’s reasoning?
Use the drop-down menus to explain and show your answer.
Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.
The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.