Answer:
Purchasing the bag of 6 lemons is the better buy.
Step-by-step explanation:
There are two ways that we can do this: find the unit rate or find how the LCM.
---
The first way is more orthodox, and you should definitely use it in harder problems. We can set up two ratios like so.
2 : 0.99
6 : 2.5
Let's simplify the ratios so the left side is one.
2 : 0.99 = 1 : 0.495 by dividing both sides by 2.
6 : 2.5 = 1 : 0.41666... by dividing both sides by 6.
Comparing the two ratios, we can conclude that the second one is smaller, therefore the bag of 6 lemons costs less.
---
The second way, although not very efficient with big numbers, works well with small numbers like these.
First, we need to find the LCM, or the least common multiple. The LCM of 2 and 6 is 6, as 6 is a multiple of both 2 and itself.
Now we must make the amount of lemons match each other so we can compare the price.
2 : 0.99 = 6 : 2.97 by multiplying by 3.
The second ratio stays the same.
2.50 is smaller than 2.97, so the second ratio is smaller than the first, reaching our previous conclusion.
---
I hope this helps, let me know if you need any more clarification.
∠Q and ∠R are complementary. If m∠Q = 33.8°, what is m∠R ? m∠R = 146.2° m∠R = 33.8° m∠R = 123.8° m∠R = 56.2°
Complementary angles add together to equal 90 degrees.
R = 90 - 33.8
R = 56.2 degrees.
The focus of the problem set is to show your ability to prove similarity between two triangles that are congruent. True False
Answer:
true bc i am smart
Answer:
the answer is TRUEStep-by-step explanation:
When a business company increased its profit from 20% to 25% the amount of profit increased to Rs 26,04,000. If the company decided to distribute 50 % bonus to its 20 employees equally from the increased amount of profit, how much bonus will each employee receive?
Answer:
1 Employee gets = Rs 13,020
Step-by-step explanation:
25% profit = Rs 26,04,000
Bonus is always 20% of the profit
So, Bonus:
=> 26,04,000/5
=> Rs 520,800
50% bonus from the profit = 520,800/2
=> Rs 260,400
This was divided equally among 20 employees.
So, Each Employ gets:
=> 1 Employee = 260,400/20
=> 1 Employee gets = Rs 13,020
NEED ANWSER ASAP! WILL GIVE BRAINLIEST! An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?
Answer:
any way since the sides are the same leangth
Step-by-step explanation:
find the nth term of this sequence, 3, 6, 9, 12
Answer:
[tex]\large\boxed{\sf n^{th} \ term =3n}}[/tex]
Step-by-step explanation:
Find common difference from subtracting any term in the sequence with the previous term.
[tex]\large{\sf 6-3}=3[/tex]
Apply nth term formula.
[tex]\large{\sf a_n=a_1+(n-1)d[/tex]
[tex]\large{\sf d=3 \ \ a_1=3}[/tex]
[tex]\large{\sf a_n=3+(n-1)3[/tex]
[tex]\large{\sf a_n=3+3n-3[/tex]
[tex]\large{\sf a_n=3n}[/tex]
Answer:
a(n) = 3 + 3(n -1)
Step-by-step explanation:
Note that each new term is found by adding 3 to the previous term. The first term is 3 and the common difference is 3. Thus, the formula for the nth term is
a(n) = a(1)+d^(n - 1)
or, in this case,
a(n) = 3 + 3(n -1)
If the variance of a variable is 16, what is the standard deviation?
Answer:
Standard deviation=4
Step-by-step explanation:
Standard deviation = square root of variance
Standard deviation=√variance
Variance=standard deviation square
Variance=standard deviation^2
From the question
Variance=16
Standard deviation=?
Standard deviation=√variance
=√16
=4
Standard deviation=4
check:
If standard deviation=4
Variance=standard deviation^2
=4^2
=16
Therefore,
Standard deviation=√variance
[tex]4[/tex]
VarianceThe variance is a measure of how much each point deviates from the mean on average.The standard deviation of a set of numbers is the distance between them and the mean. (The mean is the arithmetic average of a given group of integers.)To compute the standard deviation, take the square root of the variance.Variance of the variable [tex]=16[/tex]
Standard deviation [tex]=\sqrt{16}[/tex]
[tex]=\boldsymbol{4}[/tex]
Find out more information about the variance here:
https://brainly.com/question/24304293?referrer=searchResults
f(x) = 28 + 10x²; solve for f(1) and f(27)
Answer:
f(x) = 28 + 10x²
For f(1) substitute 1 into f(x)
That's
f(1) = 28 + 10(1)²
= 28 + 10
= 38f(27) = 28 + 10(27)²
= 28 + 7290
= 7318Hope this helps you
(08.01 MC)
A cone has a volume of 24 cubic inches. What is the volume of a cyinder that the cone fits exactly inside of? (1 point)
Select one:
b. 24 in
c. 48 in
d. 72 in
Answer:
d. 72 in³
Step-by-step explanation:
To find the volume of a cylinder that a cone of volume 24 cubic inches fits in exactly inside of, we will follow the steps below:
From the question volume of the cone = 24 cubic inches
volume of a cone = [tex]\frac{1}{3}[/tex] πr²h
and volume of a cylinder = πr²h
This implies
volume of a cone = [tex]\frac{1}{3}[/tex] πr²h
= [tex]\frac{1}{3}[/tex] (volume of a cylinder)
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
24 = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
multiply both-side of the equation by 3
24×3 = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
72 =volume of a cylinder
Therefore volume of the cylinder that the cone fits exactly inside of is 72 cubic inches
if the standard deviation of a variable is 8, what is the variance?
Answer:
r]
Step-by-step explanation:
What is the value of x?
sin 55° = COS X
Answer:
x=35°
Step-by-step explanation:
Answer:
x = 35°Step-by-step explanation:
[tex] \sin(55) = \cos(x) \\ \\ x = { \cos( }^{ - 1} \sin(55) ) \\ \\ x = 35[/tex]
Hope this helps you
How many 4-digit numbers divisible by 5, all of the digits of which are even, are there?
Answer:
100
Step-by-step explanation:
If a number is divisible by 5, then the last digit is either 0 or 5.
Since all the digits are even, the last digit must be 0.
There are 4 options for the first digit (2, 4, 6, 8).
There are 5 options for the second digit (0, 2, 4, 6, 8).
There are 5 options for the third digit (0, 2, 4, 6, 8).
So the total number of numbers is:
4×5×5×1 = 100
please help with this
Answer:
The tank has a capacity of 6000 liters
2.75 cubic meters of concrete
Step-by-step explanation:
Suppose a poll of 700 voters says that 45% of the voters will vote for Candidate A for president. Compute the 99% confidence interval
Answer: (0.4016, 0.4984).
Step-by-step explanation:
Let p be the proportion of voters will vote for Candidate A for president.
Formula for confidence interval for proportion:
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
, here [tex]\hat{p}[/tex]= sample proportion
n= sample size.
z* =two-tailed critical z- value.
As per given, we have
n= 700
[tex]\hat{p}[/tex] = 0.45
Critical two-tailed z-value for 99% confidence interval = 2.576
Then, the required 99% confidence interval for p would be:
[tex]0.45\pm (2.576)\sqrt{\dfrac{0.45(1-0.45)}{700}}\\\\=0.45\pm(2.576)\sqrt{0.000353571428}\\\\=0.45\pm (2.576)(0.0188035)\\\\=0.45\pm0.04844\\\\=(0.45-0.048437,\ 0.45+0.048437)\\\\=(0.401563,\ 0.498437)\approx(0.4016,\ 0.4984)[/tex]
Hence, the required confidence interval (0.4016, 0.4984).
What is the remainder in the synthetic division problem below?
O A. 5
O B. 9
O O. 3
O D. 7
Answer:
The answer is option D.
I hope it's what you require.
Answer:
D) 7
Step-by-step explanation:
1 / 4 6 -3
4 10
4 10 7
Step 1: Carry down the first number 4 as it is
Step 2: Multiply 4 by 1 [4 * 1 = 4] and write down this 4 under the next number 6 and then add. 6 + 4 = 10
Step 3: Multiply 10 by 1 [10 * 1 = 10] and write down this 10 under the next number -3 and then add. -3 + 10 = 7
And now 7 is the remainder
Michelle is changing her health care insurance and deciding between two different plans that charge the
same premium. Plan A has a $1,700 deductible with 20% coinsurance. Plan B has a $1,450 with 30%
coinsurance. Michelle had a total of $8,450 in medical bills last year. Under which plan would Michelle's
share have been less? Support your answer with mathematical calculations. Answer in complete
sentence.
plan B would share less
because, 20% of 1700 is 340 and 30% of 1450 is 435
I hope this helps!!
Answer:
plan A
Step-by-step explanation:
Plan A
1700-8450=6750*.20=1350+1700=3050
Plan B
1450-8450=7000*.30=2100+1450=3550
Answer=Plan A
HELPPPP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.
Answer:
26
Step-by-step explanation:
Let's find first the lower quartile in both A and B
steps:
look for the smallest sum of two consecutive numbers divide by 2 to get the lower quartile A73 and 75 are the smallest consecutive numbers
73+75 = 148 148/2 =74The lower quartile in A is 74
B47 and 49 are the smallest consecutive numbers
47+49 = 9696/2 = 48The lower quartile in B is 48
74-48 = 26Answer:
29
Step-by-step explanation:
To find the lower quartile of each you need to find the median to split them into 2 groups (upper and lower quartile).
Lower quartile of Set A: 73, 75, 79, 81, 84, 85
Lower quartile of Set B: 47, 49, 51, 51, 55, 56
Now you find the median of the 2
Set A: 80
Set B: 51
Lastly you subtract A & B and get 29
i really need this can someone help solve asap!!!
Answer: to find this answer .we need to do pegothogs property
Step-by-step explanation:
30° + 90° = 90 (because it is right angle )
120° - 90° = 30°
Plz mark me as brainlist
thank you :-)
1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144
Answer:
1) TRIANGULAR PRISM
3) d. 144 cm3
Step-by-step explanation:
1) When figuring out what shape a net is, look at the two shapes that are different. In this case, its the triangles. Then take a look at the other shapes. If it has a rectangle base then you know its a prism. If it has a different shpes base then you know its pyramid. Now just combine the two key words you found. Triangle + Prism = Triangular Prism
2) A solid is something that is firm and stable. So it is not a liquid or solid. Pretty much everything that you listed is a solid.
3) The formula for finding the volume of a triangular prism is bxhxl divided by 2. So it would be 8x3x12= 288 divided by 2= 144 cm3
Answer:
Triangular prism.
Step-by-step explanation:
(20 POINTS!!!) Bob can paint a room in 3 hours, and Suzie can paint one in 2 hours. How long will it take them together to paint a room?
Answer:
1 hour 12 minutes or 1.2 hours
Step-by-step explanation:
You add fractions to get this.
1 room/3 hours + 1 room / 2 hours = 1 room / x
0.33333333+0.5 = 1 room / x
0.83333333 = 1 / x Multiply both sides by x
0.83333333x = 1 Divide by 0.8333333
x = 1/0.833333
x = 1.2 hours or
x = 1 hour and 12 minutes
Diane runs 10 miles in 55 minutes, how many minuets does she take per mile?
Step-by-step explanation:
Hi!!
It's simple, you can do it easily.
no. of miles = 10 miles
time = 55 mins.
now,
no. of mins for 1 mile = no. of miles/ time
= 10 /55
=0.18181818 min.
so, she takes 0.181818 or 2/11 min per each mile.
Hope it helps...
A rancher has 5,000 feet of fencing available to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal areas. If no fencing is required along the river, find the length of the center partition that will yield the maximum area.
Answer:
1,000 feet
Step-by-step explanation:
The closer to a square a rectangle is, the greater the area. So the 5,000 feet should be divided into 5 equal sections to create 2 squares with the river making one side. (Like the letter "E").
5,000/5=1,000
100 POINTS!!! Paige has 3 coats: a pink one, a red one, and a white one. She has a black scarf, a gray scarf and 1 set of white gloves. Determine the different combinations Paige has for staying warm if she always wears a coat, a scarf, and gloves. For your answer, list the total number of possibilities and all possible combinations she has.
Answer:
6 combinations
Step-by-step explanation:
There are 6 combinations because:
1.) Red coat, black scarf, white gloves.
2.) White coat, grey scarf, white gloves.
3.) Pink coat, black scarf, white gloves.
4.) Red coat, grey scarf, white gloves.
5.) White coat, black scarf, white gloves.
6.) Pink coat, grey scarf, white gloves.
What is the domain and range of each relation?
Drag the answer into the box to match each relation.
A relation mapping diagram. Element x contains negative 2, 0, 2, and 4. Element y contains negative 3, negative 1, and 0. Negative 2 maps to negative 3 and negative 1. Zero maps to 0. Two maps to 0. Four maps to negative 3.
Points plotted on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. Five points are plotted. Begin ordered pair negative 3 comma 1 end ordered pair. Begin ordered pair negative 1 comma negative 1 end ordered pair. Begin ordered pair 0 comma 0 end ordered pair. Begin ordered pair 3 comma 2 end ordered pair. Begin ordered pair 3 comma 3 end ordered pair.
Answer:
[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex] and [tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]
[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex] and [tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]
Step-by-step explanation:
Domain is the set of input values or x-values.
Range is the set of output values or y-values.
According to the relation mapping diagram, the relation is
[tex]R_1=\{(-2,-3),(-2,-1),(0,0),(2,0),(4,-3)\}[/tex]
So,
[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]
[tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]
In the graph 5 points are plotted. So, the relation is
[tex]R_2=\{(-3,1),(-1,-1),(0,0),(3,2),(3,3)\}[/tex]
So,
[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]
[tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]
Find the value of x in each case:
Answer:
45°
Step-by-step explanation:
The sum of a triangle's angles is 180°.
Let's take the triangle FIG and try to express its angles in function of x.
● < F :
< F +3x = 180 => <F = 180 -3x
● < G :
IK and GH are paralell. IG is crossing them.
x and G are interior alternate angles so they have the same size.
< G = x
● < I :
We khow that < F = 180 -3x and < G = x
< I = 180-(< F + < G )
< I = 180 - ( 180-3x +x)
< I = 180 -(180-2x)
< I = 180 -180 +2x
< I = 2x
■■■■■■■■■■■■■■■■■■■■■■■
< F = 180 -3x
< G = x
< I = 2x
< I + > I + x + 2x = 360
2x + 180-x +3x = 360
4x + 180 = 360
4x = 180
x = 45°
●●●●●●●●●●●●●●●●●●●●●●●
Let's verify :
< F = 180 - 3*45 = 45 °
<G = x = 45°
< I = 2x = 90°
90° +45°+45° = 180°
So it's true.
Quick guys! Coordinates: (-3,-2) (0,4) Y=2x+4 Linear or non linear? Why?
Answer:
Linear
Step-by-step explanation:
y = 2x + 4 is linear -- any equation involving only first powers of x and y (and constants) is linear. You'll usually see linear equations in the forms y = mx + b, ax + by = c, or y - y1 = m(x - x1).
If you take any two points, find the slope of the line between them, and then plug in one point to solve for the constant term (like you did), you will get a linear equation through those points.
Answer:
it is linear pair of the variable
someone help please lol I’m stuck !!!!!
━━━━━━━☆☆━━━━━━━
▹ Answer
2√15
▹ Step-by-Step Explanation
[tex]\sqrt{4} * \sqrt{3} * \sqrt{5}\\\\\\2\sqrt{3} \sqrt{5} \\\\2\sqrt{15}[/tex]
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
[tex]\mathrm{A.}[/tex] 2√15
Step-by-step explanation:
√4 × √3 × √5
Apply rule √a·√b·√c= √(abc)
√(4 × 3 × 5)
√60
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
The highest perfect square is 4.
One of the pair factors of 60 is 4 and 15.
60 can be written as a product of 4 and 15.
√(4 × 15)
√4 × √15
√4 = 2
2 × √15
A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?
WILL MARK BRAINLIEST! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box
Answer:
d.which is number of candle's in a box
Answer:
number of candies in a box
Step-by-step explanation:
please hurry! I'll mark brainliest if you're fast!
To find the quotient 5/7 ÷ 1/3
multiply 7/5 by 1/3
multiply 7/5 by 3.
multiply 5/7 by 3.
multiply 5/7 by 1/3
Answer:
multiply 5/7 by 3
Step-by-step explanation:
D
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box, Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan Click the trashcan to clear all your answers.
Solve by factoring
x2 + 6.9. Hint. This is a double root.
3
9
12131415161718
VI
NEXT QUESTION
© ASK FOR HELP
TURN ITIN
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TERMS OF USE
Answer:
–3 and –3
Step-by-step explanation:
x² + 6x = – 9
Rearrange
x² + 6x + 9 = 0
Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².
Next, we shall find two factors of 9x² such that when we add them together, the result will be the same as the 2nd term i.e 6x in the expression above.
The factors are 3x and 3x.
Next, we shall replace 6x with 3x and 3x in the equation above as shown below:
x² + 6x + 9 = 0
x² + 3x + 3x + 9 =0
Factorise
x(x + 3) + 3(x + 3) = 0
(x + 3)(x +3) = 0
x + 3 = 0 or x + 3 =
x = – 3 or x = – 3
Therefore, the solutions are –3 and –3