Answer:
66
Step-by-step explanation:
Assuming that the families use the same appliances in the same way, who spends more to run these appliances in a given 30 day period and by how much? a. the reed family spends $13.80 more than the merrill family. b. the reed family spends $0.46 more than the merrill family. c. the merrill family spends $58.80 more than the reed family. d. the merrill family spends $18.60 more than the reed family.
The family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.
How to interpret integral multiplication?Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b
Then, their multiplication can be interpreted as:
[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]
For example,
[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]
For this case, the missing table for expenses of both families is:
Reed Family Appliances
Gas range 5 cents per day
Gas dryer 1 load per day-10 cents per load
Electric water heater 90 cents per day
Typical later model refrigerator 16 cents per day
Total cost per day 5+10+90+16= 166 cents = $1.21
Merrill Family Appliances
Electric range 13 cents per day
Gas dryer - 1 load per day 10 cents per load
Gas water heater 40 cents per day
Energy Star-labeled refrigerator 12 cents per day
Total cost per day 13+10+40+12 = 75 cents = $0.75
Since each of them used these appliances for 30 days, so we get:
Case 1: Expense by Reed Family in 30 days:Expense in 30 days = [tex]30 \times[/tex] expense per day
Expense in 30 days = [tex]30 \times 1.21 = \$36.3[/tex]
Case 2: Expense by Merrill Family in 30 days:Expense in 30 days = [tex]30 \times[/tex] expense per day
Expense in 30 days = [tex]30 \times 0.75 = \$22.5[/tex]
So, Reed family spent more.
The difference is $36.3 - $22.5 = $13.80
Thus, the family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.
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Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? check all that apply. there are 20c3 possible ways to choose three books to read. there are 5c3 possible ways to choose three mysteries to read. there are 15c3 possible ways to choose three books that are not all mysteries. the probability that mariah will choose 3 mysteries can be expressed as startfraction 1 over 5 c 3 endfraction. the probability that mariah will not choose all mysteries can be expressed as 1 − startfraction 5 c 3 over 20 c 3 endfraction.
The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.
The complement of an event is the remaining possibilities.
Our event is Mariah choosing 3 mysteries.
The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.
Learn more about probability here;
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Answer:
Options:
A- There are 20C3 possible ways to choose three books to read.
B- There are 5C3 possible ways to choose three mysteries to read.
E- The probability that Mariah will not choose all mysteries can be expressed as 1 − StartFraction 5 C 3 Over 20 C 3 EndFraction.
Step-by-step explanation:
Which transformations are needed to change the parent cosine function to y = 0.35 cosine (8 (x minus startfraction pi over 4 endfraction))?
The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression of period of [tex]\dfrac{\pi}{4}[/tex]phase shift of [tex]\dfrac{\pi}{4}[/tex] to right How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is [tex]y=f(x)[/tex]A, assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):[tex]y=f(x+c)[/tex]Left shift by c units: earlier)Right shift by c units: [tex]y=f(x-c)[/tex] output, but c units late)Vertical shift:Up by d units: [tex]y=f(x)+d[/tex]Down by d units: [tex]y=f(x)-d[/tex]Stretching:Vertical stretch by a factor k: [tex]y=k\times f(x)[/tex]Horizontal stretch by a factor k: [tex]y=f(\dfrac{x}{k})}[/tex]For this case, we're specified that:
y = cos(x) (the parent cosine function) was transformed to
[tex]y=0.35cos(8(x-\pi/4)[/tex]
We can see its vertical stretch by 0.35, right shift by horizontal stretch by 1/8
Period of cos(x) is of length. But 1.8 stretching makes its period shrink to
[tex]\dfrac{2\pi}{8}=\dfrac{\pi}{4}[/tex]
Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35
horizontal compression to period of (which means period of cosine is shrunk to which originally was )
phase shift of to right
Learn more about transformation of functions here:
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Answer:
C on ed
Step-by-step explanation:
got it right
Find the volume of the rectangular prism.
Answer:
8 x 8 x 8 = 512
Step-by-step explanation:
Hope this helps! Have a great day :)
Answer:
512
Step-by-step explanation:
LxWxH
8x8x8=512
Find the area in square meters of a circular pond with a radius of 8 ft. Use 3.14 for π, and round your answer to the nearest hundredth.
(1 m ≈ 3.2808 ft)
The area of a circular pond with a radius of 8 ft is, 18.67 m².
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The radius of circle = 8 feet
Now, We know that;
⇒ 1 feet = 0.3048 m
⇒ 8 feet = 8 × 0.3048 m
= 2.4384 m
We know that;
⇒ Area of circle = πr²
Substitute all the values, we get;
⇒ Area of circle = 3.14 × (2.4384)²
⇒ Area of circle = 3.14 × 5.94
⇒ Area of circle = 18.67 m²
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20 different prizes are distributed to a group of 180 people. Since the prizes are different, it matters who gets which prize. How many ways are there to distribute the prizes if each person can receive at most one prize
We will see that the total number of ways in which we can distribute 20 different prizes among 180 people is:
C = 6.818e46
In how many ways the prizes can be distributed?
Here we need to count how many selections do we have. Each prize will be a selection, so we have 20 selections.
Now we need to count the numbers of 6for each selection.
For the first prize, there are 180 options.
For the second prize, there are 179 options (because one person already got a prize).
For the third prize, there are 178 options.
And so on.
The total number of combinations is given by the product between the numbers of options:
C = 180*179*178*...*161*160 = 6.818e46
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PLease help i will give brainliest
Sales tax in your community is 5. 25 cents for each dollar spent. What is the total cost at the movies for three tickets at
$8. 50, three bags of popcorn for $1. 25 each, and two soft drinks for $1. 50 each?
3(8. 50 +1. 25 +1. 50) +5. 25 = 38. 90
1. 0525{3(8. 50 +1. 25 +1. 50)} = 35. 52
1. 0525{3(8. 50 +1. 25) +2(1. 50)} = 33. 94
3(8. 50 +1. 25 +1. 50) +. 0525 = 33. 82
O3(8. 50 +1. 25) + 2(1. 50) +. 0525 = 32. 30
Answer:
33.94
Explanation:
First start off by finding the total regardless of the 5.25 cents.
(3x8.50)+(3x1.25)+(2x1.50)=32.25
Then take that answer and multiply by your 5.25 cents per dollar
32.25x.0525 (since we're dealing with money)
then add that answer to the original 32.25
The Answer is actually B I took the test
Answer:
hola poop
Step-by-step explanation:
14 What fraction of $1.75 is 77c? Express this
fraction as a percentage.
Answer:
What is 1.75 as a fraction?
Converting Decimals to Fractions
Numbers can sometimes be easier to work with in fraction form or decimal form, depending on what you are using them for. Fortunately, there are easy steps you can use to convert, or change, fractions into decimals or decimals into fractions.
Answer and Explanation:
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To convert 1.75 into a fraction, let's first look at the .75 part of the decimal. .75 means '75 hundredths.' That means the corresponding fraction...
Step-by-step explanation:
Which of the following figures has exactly 1 line of symmetry?
D
hope it helps......!!!!!!!
Solve this quadratic equation using the quadratic formula.
2x 2 - 10x + 7 = 0
I hope this helped! :)
Between which two consecutive numbers does √48 fall on the number line
Answer:
6 and 7
Step-by-step explanation:
Answer: a) 6 and 7
Step-by-step explanation:
The square root of 48 is 6.928… so it’s between those two numbers
A company sells sports drinks for $2.00 each. The company pays $0.75 for each drink and $10 per week
for a permit to sell the drinks. What is the least number of drinks the company must sell each week to make
a profit?
S and E are midpoints of BA and AM, respectively. Use the properties of mid segments to find the perimeter of BAM
Answer:
50 inches
Step-by-step explanation:
Given: S and E are the midpoints of BA and AM. and EM = 9
Therefore, then the length of AB = 18 and AM = 18
Use the similar triangle properties.
7/BM = 9/18
BM = (7*18)/9
BM = 7*2 = 14 inches.
Therefore, the perimeter of BAM is = AB + BM + AM
= 18 + 14 + 18
= 50 inches
Answer:
50 in
Step-by-step explanation:
help please ! brainliest to first correct answer
What is the solution for x2 –18x < –77?
x < –11 or x > 7
x < –7 or x > 11
–11 < x < 7
7 < x < 11
Question 2(Multiple Choice Worth 2 points)
(07.01 LC)
A two-variable inequality is shown in the graph.
upward opening parabola which is dashed with vertex at 1 comma 2, travels through points negative 1 comma 6 and 3 comma 6, with shading inside the curve
Which point is not included in the solution set for the inequality?
(–1, 3)
(0, 4)
(1, 5)
(2, 4)
Question 3(Multiple Choice Worth 2 points)
(07.01 MC)
Which graph represents the solution of y ≤ x2 + 2?
upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading inside parabola
upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading outside parabola
upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading inside parabola
upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading outside parabola
Question 4(Multiple Choice Worth 2 points)
(07.01 MC)
What is the range of the function f(x) = |x| + 5?
R: {f(x) ∈ ℝ | f(x) < 5}
R: {f(x) ∈ ℝ | f(x) ≥ 5}
R: {f(x) ∈ ℝ | f(x) > 5}
R: {f(x) ∈ ℝ | f(x) ≤ 5}
Question 5(Multiple Choice Worth 2 points)
(07.01 MC)
What is the solution to the inequality |2x + 3| < 7?
4 < x < 10
–5 < x < 2
x < 4 or x > 10
x < –5 or x > 2
The questions are illustrations of inequalities
The solution to the inequality is 7 < x < 11The range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}The solution to the inequality is x < –5 or x > 2The solution to the inequalityThe inequality is given as:
x² - 18x < -77
Add 77 to both sides
x² - 18x + 77 < 0
Expand the inequality
x² - 7x - 11x + 77 < 0
Factorize the inequality
x(x - 7) - 11(x - 7) < 0
Factor out x - 7
(x- 7)(x - 11) < 0
Solve for x
x < 7 or x < 11
This means that the solution to the inequality is 7 < x < 11
The graph that represents the solutionThe inequality expression is given as:
y ≤ x² + 2
See attachment for the graph of the inequality
The range of the functionThe function is given as:
f(x) = |x| + 5
The smallest value of |x| is 0.
So, we have:
f(x) > 0 + 5
Evaluate
f(x) > 5
Hence, the range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}
The solution to the inequalityThe inequality expression is given as:
|2x + 3| < 7
Remove the absolute expression
2x + 3 < 7 or 2x + 3 < -7
Subtract 3 from both sides
2x < 4 or 2x < -10
Divide both sides by 2
x < 2 or x < -5
Hence, the solution to the inequality is x < –5 or x > 2
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Solve the equation. –9x 1 = –x 17 x = –8 x = –2 x = 2 x = 8
The value of the variable x for the provided equation –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.
What is the solution of equation?The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.
The equation given in the problem is,
[tex]-9x +1 = -x +17\\[/tex]
To solve this equation, take the terms of variable x left side of the equation and constant term other side,
[tex]-9x +x = 17-1\\-8x=16[/tex]
Divide both side of the equation with number 8 as,
[tex]\dfrac{-8x}{8}=\dfrac{16}{8}\\-x=2\\x=-2[/tex]
Hence, the value of the variable x for the provided equation –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.
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Answer: The Answer Is; B) x = –2
Step-by-step explanation: Correct Answer On Edge2020.
(And the correct way to write the equation is; –9x + 1 = –x + 17 , other wise others wouldn't know if it was " +'s " OR " -'s " ..)
The average of three numbers is 15. Two numbers are 7 and 10. What is the third number?
The Answer is 28
Step-by-step explanation:
Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers
Answer:
Card 5: 49.98 Card 6: 153.86 sq. ft
Step-by-step explanation:
Card 5: Find the circumference, 28(3.14)=87.92. Then divide by 4 cause the circle is spilt in fourths. 87.92/4=21.98. Then add 28 for the sides. 21.98+28=49.98
Card 6: Find the area, 14^2(3.14)= 615.44. Then divide by 4 since the circle is cut into fourths. 615.44/4=153.86.
Your checkbook register shows these activities for the month. Old balance: $134. 56 Check 512 to Good Stuff for $32. 19 Deposit: $345. 12 Check 513 to Hometown Apt for $250. 00 Check 514 to Farland Grocery for $16. 65 Check 515 to Dr. Scott for $45. 00 What is your new checkbook balance? O $225. 64 O S169. 14 O S135. 84 O $122. 45
Answer:
$135.84
Step-by-step explanation:
Your starting checkbook balance is $134.56.
Deposits increase your balance. Add your deposit to the balance: $134.56+$345.12 = $479.68
Now add up all the checks:
$32.19+$250.00+$16.65+$45.00 = $343.84
Checks are money taken out of your account, so you subtract them from your balance
$479.68 - $343.84 = $135.84
how do i do this? this two
Answer:
rectangle= 35
triangle= 15
Step-by-step explanation:
rectangle
the length is 5 the width is 7
the formula for area is 5*7
the answer is 35
triangle
the length is 5, the height 6
the formula is 1/2*6*5
the answer is 15
A scientist has four petri dishes of different sizes. each dish contains a different number of bacteria. a 3-column table has 4 rows. the first column has entries dish a, dish b, dish c, dish d. the second column is labeled population of bacteria with entries 7,200, 10,000, 13,650, 21,350. the third column is labeled area (millimeters squared) with entries 2,826, 7,850, 20,096, 31,400. find each population density, to the nearest hundredth. which statement is true? dish a has the lowest population density. dish c has the greatest population density. dish a and dish b have approximately the same population density. dish c and dish d have approximately the same population density.
The statement that is true is option D which says, "Dish C and Dish D have approximately the same population density."
What is Population Density?The population density of an area is the Number of Entities in that space/Total Area occupied by the population.
A scientist has four Petri dishes of different sizes. each dish contains a different number of bacteria.
It can also be written as Dp = N/A.
Because the Dp of Dish C and Dish D is approximately 0.68, we can say that they have approximately the same Dp.
Hence, "Dish C and Dish D have approximately the same population density."
Learn more about Population Density at:
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Answer
option D on edg
Step-by-step explanation:
Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply. 0 = 3x2 2x – 2 0 = –2 – 3x2 3 0 = –3x 3x2 – 2 0 = 3x2 x 2 0 = –1x – 2 3x2
The equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.
What is a quadratic equation?A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.In this equation, a is the coefficient of the highest term and c is the constant term.
The equations which has the leading coefficient of 3 and a constant term of –2 has to be find out.
The first equation given in the problem is,
[tex]0 = 3x^2 +2x - 2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the constant term is -2. Thus, this option is correct.
The second equation given in the problem is,
[tex]0 = -2 - 3x^2 +3[/tex]
Rearrange the equation as,
[tex]0 = -2 - 3x^2 +3\\0=-3x^2+1[/tex]
In this equation, the coefficient of the term which has the highest power is -3 and the constant term is 1. Thus, this option is not correct.
The third equation given in the problem is,
[tex]0 = 3x^2 +x +2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the constant term is 2. Thus, this option is not correct.
The fourth equation given in the problem is,
[tex]0 = -1x - 2 +3x^2[/tex]
Rearrange the equation as,
[tex]0=3x^2-1x-2[/tex]
In this equation, the coefficient of the term which has the highest power is 3 and the continuant term is -2. Thus, this option is correct.
Hence, the equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.
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After first entering the ocean, a
scuba diver descends to a depth 18
feet below the surface of the water.
The diver then ascends 7
feet before descending 18 feet
again. What is the final depth of the
diver below the surface of the
water?
A. -29 feet
B. -43 feet
C. 29 feet
D. 43 feet
Answer:
-29 :)
Step-by-step explanation:
Decends: Goes lower
Ascends: Rises
Now lets solve :)
-18 + 7 = -11
-11 + (-18) = -29
Have an amazing day!!
Please rate and mark brainliest!!
What is the reciprocal of 1 1/6
Answer:
6/7
Step-by-step explanation:
The reciprocal of 1 1/6 is 6/7.
Answer:
7/6
Step-by-step explanation:
to find the reciprocal of a number, you need to multiply the denominator by the whole number. once you do this, you should add that number and the numerator. leave the denominator its orginal number and your answer should be 7/6
4) If rectangle WXYZ has slid three units to the right what will be the coordinates of point W?
A) (0, 2)
B) (3, -1)
C) (3, 5)
D) (6, 2)
Annabeth logged onto her computer for school at 1:09 pm she paused for a snack break for 30 minuted then started again and then she logged off at 3:47 pm. How long was Annabeth on the computer for?
Starting time:-
1:09PM=13:09+0:30=13:39Now
Ending time:-
3:47PM=15:47PMTotal active time:-
15:47-13:392:08hoursOr
2hours 8minAnswer:
2 hours 8 minutes
Step-by-step explanation:
Let the total amount of time of Annabeth's being on the computer be x hours
since she paused using computer for a snack break for 30 minuted, our x turns out to be
[tex]x+0:30[/tex]
The initial time is 1:09 pmThe final time is 3:47 pmThus our equation would like
[tex]1:09+x+0:30=3:47[/tex]solving the equation yields:
[tex]1:09+x+0:30=3:47\\\implies 1:39+x=3:47\\\implies x=3:47-1:39\implies \boxed{x=2:08}\rm hours [/tex]
hence,
Annabeth was on her computer for 2 hours 8 minutes
Note:
1 Hour=60 minutes5. The graph of t(x) is shown below. Determine the zeros of (x) points) -3,0 GO -6-54 -10 -9 3-2-1 2. 7 3 9 10 .+1)=0 A
Answer:
(- 3, 0 ) , (0, 0 ) , (4, 0 )
Step-by-step explanation:
the zeros are the points on the x- axis where the graph crosses , so
zeros are (- 3, 0 ) , (0, 0 ) , (4, 0 )
Please help. Will mark brainlyest.
What’s The Answer Of This? NO BOTS
Answer:
B is your answer: Angle pair "MTS" should be 107 and "STN" should be 73
Step-by-step explanation:
You need to do 180-73 because "s" is unknown.
That should be 107 degrees.
Angle pair "MTS" should be 107 and "STN" should be 73
This is due to alternate interior angles, same side angles, and congruency properties.