Answer:
D is The correct Answer
Step-by-step explanation:
Answer:
d I'm sorry if its incorrect
Lena is 10 years old. She asks her dad how old he is. He tells her that the lcm of their ages is 14 times the hcf of their ages. She knows that her dad is at least 30 years old but younger than 45. Work out how old her dad is.
Answer:
35
Step-by-step explanation:
Let x represent the HCF of the ages. Then we can have ax = 10 represent Lena's age, and bx can represent her dad's age.
The LCM will be abx = 14x, so we have ab = 14.
Factors of 14 are 1·14 and 2·7. Since the ratio of ages is between 30/10 = 3 and 45/10 = 4.5, we must have b/a in that range. This will be the case for ...
a=2, b=7
For a=2 and ax=10, we have x=5.
The dad's age is bx = 7·5 = 35.
00:00
Hei has the element shown for his science experiment. How many kilograms of the material does he have?
(1.000 grams = 1 kilogram)
Copper
3,508 g
350.8 kilograms
35.08 kilograms
3.508 kilograms
0.3508 kilograms
Answer:
3.508 kilograms
Step-by-step explanation:
This question can be solved using a rule of three.
We have that each kilogram is 1000 grams. How many kilograms are there for 3508 grams?
1kg - 1000g
xkg - 3508g
[tex]1000x = 3508[/tex]
[tex]x = \frac{3508}{1000}[/tex]
[tex]x = 3.508[/tex]
So the correct answer is:
3.508 kilograms
9. The circumference of a circle is 601 cm. What is the diameter of the circle?
O 120 cm
90 cm
30 cm
60 cm
Answer:191.4 cm
Step-by-step explanation:
Circumference=601 cm
π=3.14
Diameter=circumference ➗ π
Diameter=601 ➗ 3.14
Diameter=191.4 cm
Rewrite the expression 5(2x+1) using the Distributive Property
Answer:
10x+5
Step-by-step explanation:
5(2x+1)
Using distributive property, which is
A(B+C)=(A×B)+(A×C)
=(5×2x)+(5×1)
=10x+5
Hope it helps :)
Marie made the box plot below to display a set of data. Which set of data could the box plot represent?
Answer:
see below
Step-by-step explanation:
First of all, you want to find the data set the matches the extreme values of 5 and 35. That eliminates the 2nd and 4th choices.
Then you want to find the data set that has a median of 15. The first data set has a middle value (median) of 20, so that choice is eliminated.
The data set of the 3rd choice matches the box plot extremes, median, and quartile values.
Answer:
The third choice, (5, 6, 10, 12, 13, 15, 17, 25, 30, 35) would be your best answer.
Step-by-step explanation:
A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after 10 years? 74.3 feet 120 feet 144 feet 146.3 feet
Answer:
74.3 feet
Step-by-step explanation:
Each year, the height is multiplied by 1 +20% = 1.20. After 10 years, the original height is multiplied by 1.20^10, so is ...
(12 ft)1.20^10 ≈ (12 ft)(6.19174) ≈ 74.3 ft
A rectangular storage container is 15 feet long 12 feet wide and 8 feet high what is the surface area of the storage container
Answer:
1440 feet
Step-by-step explanation:
15 × 12 × 8 = 1440
Please solve this in a paper and send the answers with steps.
*marking as brainlist.
Answer: 2. 121 could be the dividend and 11 will be the quotient. 3) 35 could be the dividend and -5 could be the divisor.
4) 256 could be the dividend and -16 would be the quotient. 5) 12 could be the divisor and 144 could be the dividend. 6) 17 could be the divisor and and 9 could be the quotient.
Step-by-step explanation:
2. 121/11= 11
3. 35/-5= -7
4.256/-16 =-16
5.144/12= 12
6.153/17=9
Which best explains whether a triangle with side lengths 2 inches 5 inches in 4 inches is an acute triangle
Answer:
The Pythagorean Theorem is a helpful tool that best explains whether a triangle with side lengths 2 inches, 5 inches, and 4 inches is an acute triangle or an obtuse type of triangle. Under the Pythagorean Theorem, a certain triangle is an acute triangle if a^2 + b^2 is greater than c^2.
Step-by-step explanation:
im not sure if this helps but....
Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle; it is not an Acute angles triangle.
How are triangles discriminated based on angles?If all of three angles of a triangle are < 90° then triangle is acute.
If one of the angle is of 90° then the triangle is right angled triangle.
If one of the angle is > 90° then triangle is called obtuse triangle.
How to identify if a triangle is acute, right angled or obtuse?
Let we have:
H = biggest side of the triangle
And let we get A and B as rest of the two sides.
Then we get:
If A^2+B^2 > H^2 , then triangle is obtuse
Given:
Length of the sides of the triangle; 2 , 5 and 4inches
If a , b and c is sides of the triangle such that c is the longest side then;
1). if c² > a² + b² implies that triangle is Acute angled.
2). if c² = a² + b² implies that triangle is Right angled.
3). if c² < a² + b² implies that triangle is Obtuse angled.
We have, a = 2 in , b = 4 in and c = 5 in
So, c² = 5² = 25
a² + b² = 2² + 4² = 4 + 16 = 20
therefore; c² > a² + b²
Therefore, Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.
Learn more about the triangles;
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Brainliest for whoever if they get this CORRECT.
c
All the information you need is in the quadratic trinomial ... Read from right to left:
Find factors of 49 which ADD (+) to give 14.
These will be 7 and 7 because: 7 × 7 = 49 and 7 + 7 = 14
The + sign shows that the signs in the brackets will be the SAME, the minus (-) shows that they will be negative:
( x − 7 ) ( x − 7 ) = ( x − 7 ) 2
How many grams are in a kilogram
Answer:
1000 grams
Step-by-step explanation:
Steven nas a deck OF 52 playing cards, as shown below. Determine the
theoretical probability of each event. Express each probability as a fraction
simplest form.
A. Randomly selecting a red card
B. Randomly selecting a 7, 8, 9, or 10
C. Randomly selecting the 6 of diamonds
D. Randomly selecting a card that is not a king
Step-by-step explanation:
a. Randomly selecting a red card =
[tex] \frac{1}{2 } [/tex]
have 26 card choices
B. Randomly selecting a 7, 8, 9, or 10 =
[tex] \frac{4 \times 4}{52} = \frac{16}{52} = \frac{4}{13} [/tex]
(have 4*4 card choice)
C. Randomly selecting the 6 of diamonds =
[tex] \frac{1}{52} [/tex]
(only 1 card choice)
D. Randomly selecting a card that is not a king
[tex]1 - \frac{4}{52} = \frac{48}{52} = \frac{12}{13} [/tex]
1 - all possibility that can select the king
The owner of a bicycle store had a sale on bicycles (two-wheelers) and tricycles (three-wheelers). Each cycle had two pedals. When he counted the total number of pedals of the cycles, he got 50. When he counted the total number of wheels of the cycles, he got 64. Explain how you figured out how many tricycles were offered in the sale.
Let x represent number of bicycles and y represent number of tricycles.
We know that a bicycle has 2 pedals and a tricycle has 32 pedals as well.
We have been given that when the owner counted the total number of pedals of the cycles, he got 50. We can represent this information in an equation as:
[tex]2x+2y=50...(1)[/tex]
[tex]2x=50-2y...(1)[/tex]
We know that a bicycle has 2 wheels and a tricycle has 3 wheels.
We have been given that when the owner counted the total number of wheels of the cycles, he got 64. We can represent this information in an equation as:
[tex]2x+3y=64...(2)[/tex]
Upon substituting equation (1) in equation (2), we will get:
[tex]50-2y+3y=64[/tex]
[tex]50+y=64[/tex]
[tex]50-50+y=64-50[/tex]
[tex]y=14[/tex]
Therefore, 14 tricycles were offered in the sale.
In triangle DOC, cos(D) = 20/29. What is the value of tan(D)?
Answer:
[tex]tan(D) = \frac{21}{20}[/tex]
Step-by-step explanation:
Step(i):-
Given in triangle DOC
Cos(D) = 20/29
now
[tex]Sec(D) = \frac{1}{Cos(D)} = \frac{1}{\frac{20}{29} } = \frac{29}{20}[/tex]
We Know that trigonometry formulas
[tex]sec^{2}(D) -tan^{2} (D) =1[/tex]
[tex]tan^{2} (D) = sec^{2} (D) -1[/tex]
= [tex](\frac{29}{20} )^{2} -1[/tex]
= [tex]\frac{841 -400}{400} = \frac{441}{400}[/tex]
[tex]tan^2(D) = \frac{441}{400}[/tex]
[tex]tan(D) = \sqrt{\frac{441}{400} } = \frac{21}{20}[/tex]
[tex]tan(D) = \frac{21}{20}[/tex]
please answer this correctly I have to finish this today as soon as possible
Estimate the measure of this angle within 10°.
If 5 potatoes together have a mass of 1 kilogram and 8 pears together have a mass of 1200 grams, which has the greater mass, a potato or a pear?
If a room is 18ft long and 12 ft wide how many 1 ft by 1 ft tiles would be needed to completely cover the floor?
Answer:
216
Step-by-step explanation: If they are 1 by 1 tiles that means that all you need to do is multiply 18 by 12 to get 216. Hope this helps :)
Answer:
216 Tiles
Step-by-step explanation:
18 by 12
8*12=216
Use a Tile Calculator plus this is easy
Wastage: 5%
Tiles with Wastage = 227 Tiles
2 people are evenly sharing 15 milliliters of perfume.
How much perfume should each person get?
Answer:Each person should get 7.5 milliliters or seven and a half perfume.
Step-by-step explanation:
15/2=7.5
Each person should get 7.5 milliliters or seven and a half perfume.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in maths and science.
Thus, unit price of something is price of 1 thing.
Suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
WE know that 2 people are evenly sharing 15 milliliters of perfume.
So, one person will share;
15/2
=7.5
Therefore, Each person should get 7.5 milliliters or seven and a half perfume.
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For the past 50 days, daily sales of laundry detergent in a large grocery store have been recorded (to the nearest 10). Units sold Number of Times. 30 8 40 12 50 15 60 10 70 5 a). Determine the relative frequency for each number of units sold. Please show your work on EXCEL. b). Suppose that the following random numbers were obtained using Excel .12 .96 .54 .55 .66 .77 .88 .99 .33. 304894 Use these random numbers to simulate 10days of sales. Please show your work on EXCEL.
Answer:
The answer to this question can be described as follows:
Step-by-step explanation:
Please find the attachment
PLEASE HELP ME:)
(50points)
WILL MARK THE BRAINLIEST !!
Answer:
3. L(15055) is the number of pages ...
4. true
Step-by-step explanation:
3. The problem tells you that L( ) is a function of the number of words. (That means the number in parentheses in L( ) is a word count.) The first two answer choices describe the function as being of a number of pages, so are incorrect. The last answer choice matches the description of the function.
__
4. Compound interest represents a growth function. Account values in later years will be more than values in earlier years. So ...
D(2) < D(7) is TRUE
The table shows the travelling time to work of 50 people.
-Travelling time (t)
in minutes-
0 <t<10
10 < t < 20
20 < t < 30
30 < t < 40
40 < t < 50
-Frequency-
5
15
13
10
7
Calculate an estimate of the mean travelling time.
Answer:
24.8 mins
Step-by-step explanation:
Time > timemark > frequency
0 – 10 > 10/2 = 5 > 5
10 – 20 > (10+20)/2 = 15 > 15
20 – 30 > (20+30)/2 = 25 > 13
30 – 40 > (30+40)/2 = 35 > 10
40 – 50 > (40+50)/2 = 45 > 7
The mean time for the 50 people is given by:
Mean = summation (mid time x frequency) / total frequency
Mean = [5x5 + 15x15 + 25x13 + 35x10 + 45x7] / 50
Mean = [25 + 225 + 325 + 350 + 315] / 50
Mean = 1240 / 50
Mean = 24.8 mins
The mean traveling time of the given data will be 24.8 minutes.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.
Time > timemark > frequency
0 – 10 > 10/2 = 5 > 5
10 – 20 > (10+20)/2 = 15 > 15
20 – 30 > (20+30)/2 = 25 > 13
30 – 40 > (30+40)/2 = 35 > 10
40 – 50 > (40+50)/2 = 45 > 7
The mean time for the 50 people is given by:
Mean = summation (mid time x frequency) / total frequency
Mean = [5x5 + 15x15 + 25x13 + 35x10 + 45x7] / 50
Mean = [25 + 225 + 325 + 350 + 315] / 50
Mean = 1240 / 50
Mean = 24.8 mins
The mean traveling time of the given data will be 24.8 minutes.
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K.Brew sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 18 sales receipts for mail-order sales results in a mean sale amount of $74.90 with a standard deviation of $21.75. A random sample of 9 sales receipts for internet sales results in a mean sale amount of $87.30 with a standard deviation of $19.75. Using this data, find the 95% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed.
Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.
Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
Step 3 of 3: Construct the 95% confidence interval. Round your answers to two decimal places.
Answer:
Step-by-step explanation:
Step 1. The point estimate is the difference between the the mean amount of mail-order purchases and the mean amount of internet purchases. It becomes
74.9 - 87.3 = - 12.4
Step 2. The formula for determining margin of error is expressed aa
Margin of error = z√(s1²/n1 + s2²/n2)
Where
z = z score
s1 = sample standard deviation for data 1
s2 = sample standard deviation for data 2
n1 = number of samples in group 1
n2 = number of samples in group 2
For a 95% confidence interval, the z score is 1.96
From the information given,
s1 = 21.75
n1 = 18
s2 = 19.75
n2 = 9
z√(s1²/n1 + s2²/n2) = 1.96√(21.75²/18 + 19.75²/9) = 1.96 × 8.343
= 16.35
Step 3. Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
95% Confidence interval = - 12.4 ± 16.35
Christina is randomly choosing three movies to take on vacation from nine action movies, seven science fiction movies, and four comedies. Which statement is true? The probability that Christina will choose three comedies can be expressed as StartFraction 1 Over 4 C 3 EndFraction. The probability that Christina will choose three action movies can be expressed as StartFraction 20 C 3 Over 9 C 3 EndFraction. The probability that Christina will not choose all comedies can be expressed as 1 − StartFraction 4 C 3 Over 20 C 4 EndFraction. The probability that Christina will not choose all action movies can be expressed as 1 − StartFraction 9 C 3 Over 20 C 3 EndFraction.
Answer:
The answer is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The probability that Christina will not choose all action movies can be expressed as 1 − StartFraction 9 C 3 Over 20 C 3 EndFraction.
Kumar has $10.00 to spend. He decided to buy a candy bar for $1.75 and spend the rest on bags of chips. If each bag of chips costs $2.99, how many bags of chips can kumar buy ?
Answer:
2 bag of chips
Step-by-step explanation:
Total Money Kumar had = $10.00
Money spent on buying candy bar = $1.75
Money left with Kumar after buying candybar can be obtained by subtracting
Money spent on buying candybar from Total Money Kumar had.
Money left with Kumar after buying candybar = $10.00- $1.75 = $8.25.
It is given that rest of money( $8.25 as calculated) is spent on buying bag of chips.
cost of one bag of chips = $2.99
Let no of bag of chips kumar can buy be x .
Therefore total money spent on buying x bag of chips is $2.99 time no. of bag of chips bought
Mathematically it can be expressed as
Total money spent on buying x bag of chips = $2.99 * x = $2.99 x
It is given that he can spent only $8.25 to buy bag of chips.
which means
$2.99 x = $8.25
=> x = 8.25/2.99 = 2.75
Thus he can buy 2.75 bag of chips.
But bag of chips can be only integral number as bag cannot be in fraction .
hence 2 bag of chips can bought which will cost 2*2.99=$ 5.98
Rest of the money will be left which will be 8.25 - 5.98 = $2.27
Answer:
8
Step-by-step explanation:
Deena wants to buy a 2200 laptop, but she doesn't have the money. She decides to finance the purchase and will pay montly payments of 231.55 for a year. How much extra will Deena end up paying for the laptop becuase she financed it rather than paying for it all once.
Answer:
$578.6
Step-by-step explanation:
231.55 multiplied by 12 is 2778.6.
Subtract that by the amount that she could've paid in a whole you would get 578.6.
An architect is designing a triangular shaped plot of land. The base of the land is 100.8 ft and the height of the land is 96.3 ft. Find the available floor area of the building. Type your answer. Do not include a label, just the numbers.
Answer:4853.52
Step-by-step explanation:
base=100.8ft
Height=96.3ft
Area of =(base x height) ➗ 2
Area of =(100.8x96.3) ➗ 2
Area of =9707.04 ➗ 2
Area of =4853.52
What is 79(554)+5(746)?
Answer:
47496
Step-by-step explanation:
Answer: The answer is 47496
Step-by-step explanation:
If you multiply 79 x 554 =43766
Then you multiply 5 x 746= 3730
You add 43766+ 3730 = 47496
The article Effect of Environmental Factors on Steel Plate Corrosion Under Marine Immersion Conditions (C. Soares. Y. Garbatov, and A. Zayed, Corrosion Engineering, Science and Technology, 2011 :524? 541 ) describes an experiment in which nine steel specimens were submerged in seawater at various temperatures, and the corrosion rates were measured. The result are presented in the following table (obtained by digitizing a graph).
Temperature (C) Corrosion (mm/y)
26.6 1.58
26.0 1.45
27.4 1.13
21.7 0.96
14.9 0.99
11.3 1.05
15.0 0.82
a. Construct a scatterplot of corrosion (y) versus temperature (x). Verify that a linear model is appropriate.
b. Compute the least-squares line for predicting corrosion from temperature.
c. Two steel specimens whose temperatures differ by 10◦ C are submerged in seawater. By how much would you predict their corrosion rates to differ?
d. Predict the corrosion rate for steel submerged in seawater at a temperature of 20◦ C.
Answer:
Check the explanation
Step-by-step explanation:
a) from the scatter plot in the attached image below, it appears that relationship is approximately linear
b) least square line: that =0.3940+0.0355x
c) for 10 C difference expected difference in corrosion rate =0.0355*10=0.355
d) for x=20 ; predicted temperature =0.3940+0.0355*20=1.1041
e) fitted values are:
X ŷ
26.600 1.3385
26.000 1.3172
27.400 1.3669
21.700 1.1645
14.900 0.9230
11.300 0.7952
15.000 0.9266
8.700 0.7029
8.200 0.6851
During Ashland High School basketball games, the snack bar sells both cheese and pepperoni pizza slices. Last night, the snack bar sold 143 slices of pizza. They sold 10 times as many pepperoni slices as cheese slices.
How many slices of cheese pizza did the snack bar sell last night?
slices of cheese pizza
Answer:
13 slices of cheese pizza
Step-by-step explanation:
Consider grouping the slices so there are 10 pepperoni and 1 cheese in each group of 11. Then 143 slices represents 143/11 = 13 groups. Since there is 1 cheese slice in each group, ...
13 slices of cheese pizza were sold
Convert the polar coordinates to rectangular form (√2,-π\4)
Answer:
(1, -1)
Step-by-step explanation:
To convert polar to rectangular coordinates, use these identities:
x = rcos(Ф)y = rsin(Ф)x² + y² = r²Here we were given the point [tex](\sqrt{2},-\frac{\pi}{4})[/tex] which is our (r, Ф) point
We can now plug these values into our x and y equations to convert to rectangular and find our (x, y) point
x = [tex](\sqrt{2} )cos(-\frac{\pi}{4} )= (\sqrt{2})(\frac{\sqrt{2} }{2})=\frac{2}{2}=1[/tex] y = [tex](\sqrt{2} )sin(-\frac{\pi}{4} )= (\sqrt{2})(-\frac{\sqrt{2} }{2})=-\frac{2}{2}=-1[/tex]So our (x, y) point is (1, -1)
[tex](\sqrt{2},-\frac{\pi}{4}) = (1, -1)[/tex]