The total number of hours Donna used driving is 3 2/21 hours
What is rate?A rate is a special ratio in which the two terms are in different units. For example, For 1 hour Donna is using 7/10 gallons of fuel while driving.
The two quantities there are time in hours and the quantity of fuel used in gallons.
If Donna used 7/10 gallon for 1 hour
then 1 gallon will last for 1÷7/10= 1× 10/7= 10/7
Therefore for 2 1/6 gallon = 10/7×2 1/6= 10/7×13/6
= 3 2/21 hours
Therefore the total number of hours used driving with 2 1/6 gallons is 3 2/21
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What is the answer for -3 > -2x + 7
?
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
−2x+7<−3Subtract 7 from both sides.
−2x<−3−7Subtract -7 from −3 to get −10.
−2x<−10Divide both sides by −2. Since −2 is negative, the inequality direction is changed.
[tex]x > \frac{ - 10}{ - 2} [/tex]Divide −10 by −2 to get 5.
x>5For the equation (x) = –3x2 + 2x – 1, explain if the graph will be pointing upward or downward. **20 POINTS**
Answer:
Step-by-step explanation:
the answer is "downward". If you say "why", it is because of the degree coefficient.
in the equation, the latest degree is 2 (which is quadratic equation) so from the degree its coefficient is -3. If it is negative, it should be downward like -3. But if it is positive it should be upward like 3, 1, 44.
What is the domain of the function y=√x+6-7?
O x2-7
O x2-6
O x26
Ox27
The domain of the function is [ - 6 , ∞ ]
A radical function is the one provided.
It should be noted that a radical function can only be specified for values that will result in the radicand being larger than or equal to zero.
As a result, either the radicand of the provided function must be larger than or equal to zero, or:
Thus we can write it as
x + 6 ≥ 0
subtract 6 from both LHS and RHS
x + 6 - 6 ≥ 0 - 6
x ≥ - 6
Therefore the domain of the function is [ - 6 , ∞ ]
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( q2 − r2s) ( q4 + q2r2s + r4s2)
Use the graph of y=f(x) to graph the function g(x)=f(x + 1)-3.
y = f(x)
4
Choose the correct graph of g below.
OA
OC.
B.
O D.
Q
Function g(x) is a translation of one unit to the left and 3 units down of f(x), then the correct option for the graph of g is B.
which is the graph of the transformed function?Here we start with a function f(x), and we also have the graph of this function.
And we want to find the graph of the function defined as:
g(x) = f(x + 1) - 3
Notice that:
g(x)= f(x + 1)
Is a translation of one unit to the elft of f(x).
g(x) = f(x) - 3
Is a translation of 3 units down of the graph of f(x).
Then:
g(x) = f(x + 1)- 3
Is a translation of one unit to the left and 3 units down.
With that in mind, we can see that the correct option for the graph of g(x) is option B.
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Convert a person's weight of 122 pounds to kilograms. Show all conversion factors needed.
Round final answer to 2 decimal places if needed. The setup below should look like the typical dimensional
analysis that you learned.
Ihs ✓
Please help me I need help
Answer:
p = 20
Step-by-step explanation:
[tex]\rm \implies \dfrac{p}{2} - 9 = 1 \\ \\ \rm \implies \dfrac{p}{2} - 9 + 9 = 1 + 9 \\ \\ \rm \implies \dfrac{p}{2 } = 10 \\ \\ \rm \implies \dfrac{p}{ \cancel{2}} \times \cancel{2} = 10 \times 2 \\ \\ \rm \implies p = 20[/tex]
2(x+5)=20 what does x===???????????????????/
Answer:
x = 5
Step-by-step explanation:
2(x+5) =20 Distribute the 2
2(x) + 2(5) = 20
2x + 10 = 20 Subtract 10 from both sides of the equation
2x = 10 Divide both sides by 2
x = 5
Answer:
5
Step-by-step explanation:
2(x + 5) = 20 Divide both sides by 2
x + 5 = 10
x = 10 - 5
x = 5
12. Use the coordinate grid below to answer the question.
What are the coordinates of Point A?
Answer: (7, 12)
Step-by-step explanation:
The x-coordinate is 7.
The y-coordinate is 12.
Thus, the coordinates are (7, 12).
John can clean pools at a constant rate of \(\frac{3}{5}\)
pools per hour. How many pools can John clean in 10
hours?
Answer:
Step-by-step explanation:
3/5 pool/hr * 10hr = 6 pool
Which of the following is the correct factorization 64x^3+8?
The correct factorization of the expression, [tex]64x^{3} +8[/tex], is 4[tex](2x-1)^{2}[/tex] (8x+2).
According to the question,
We have the following information:
[tex]64x^{3} +8[/tex]
The factors of this expression can be found using identity because 64[tex]x^{3}[/tex] is the whole cube of 4x and 8 is the cube of 2.
So, we have the following expression:
[tex](4x)^{3} + 2^{3}[/tex]
Now, we can use the following identity to factor the given expression:
[tex]a^{3} +b^{3} = (a+b) (a^{2} -ab+b^{2} )[/tex]
We have a = 8x and b = 2:
(8x+2) {[tex](4x)^{2}[/tex]-16x+[tex]2^{2}[/tex]}
(8x+2) (16[tex]x^{2}[/tex]-16x+4)
Taking 4 as the common factor from the second bracket:
4(8x+2) (4[tex]x^{2}[/tex]-4x+1)
Now, finding the factors of second bracket:
4(8x+2) ([tex]4x^{2}[/tex]-2x-2x+1)
4(8x+2) {2x(2x-1)-1(2x-1)}
4(8x+2) (2x-1) (2x-1)
4[tex](2x-1)^{2}[/tex] (8x+2)
Hence, the correct factorization of the expression, [tex]64x^{3} +8[/tex], is 4[tex](2x-1)^{2}[/tex] (8x+2).
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plot 5/3 and its opposite on the number line
The numbers are plotted in the attached graph.
What is a number line?A number line is a representation of real numbers in the form of a graded straight line.
Note that 5/3 is approximately equal to 1.7.
Similarly, -5/3 is approximately equal to -1.7.
Now, use the number line to mark the points -1.7 and 1.7, the numbers lie near -2 and 2 respectively.
The numbers are plotted in the attached graph.
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help me please so i can pass my semester
I need the answer:’)
Answer:
its D
Step-by-step explanation:
calculator
Peter and Parker work for a cleaning crew. Peter can clean a room in 15 minutes less time than it takes Parker to do the same job. Working together,
they can clean two rooms in 110 minutes. Approximately how long does it take Peter to clean a room by himself?
how long does it take Peter to clean a room by himself is[tex]t = \frac{95+-5\sqrt{493} }{2}[/tex]
What does "rate" mean mathematically?
A rate is a unique ratio where the two words are expressed in several units.
Let Peter take time to clean 1 room be = t
Let Parker take time to clean 1 room be = t+15
Total Time taken by both to clean to room T= 110
Equation for total time taken to clean 2 room by both
[tex]\frac{1}{t} +\frac{1}{t+15} =\frac{2}{T}[/tex]
[tex]\frac{1}{t} +\frac{1}{t+15} =\frac{2}{110}[/tex]
By taking LCM
[tex]\frac{2t+15}{t^{2}+15} =\frac{1}{55}[/tex]
By cross multiplication in above equation
[tex]110t+825=t^{2} +15t[/tex]
[tex]t^{2}-95t-825=0[/tex]
Hence the answer is [tex]t = \frac{95+-5\sqrt{493} }{2}[/tex]
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Colton made a scale drawing of a city park. In real life, the soccer field is 90 meters long.
It is 18 millimeters long in the drawing. What scale did Colton use?
By using unitary method it is obtained that -
Scale used my Colton = 1 : 500
What is unitary method?
Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity
Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.
Here unitary method is used
18 mm long field in the drawing is equivalent to 9000 mm long field in real
1 mm long field in the drawing is equivalent to [tex]\frac{9000}{18}[/tex] mm long field in real
1 mm long field in the drawing is equivalent to 500 mm long field in real
Scale used by Colton 1 : 500
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1. Use the picture to answer the following questions.
2. Find the missing value(s) in the ratio table.
The ratio of snakes to frogs is 1 : 2.
The ratio of frogs to animals is 2 : 3.
If 3 more snakes are added, the number of frogs that should be added to keep the ratio constant is 6.
Here are the completed tables:
TVs 2 4 6
Computers 7 14 21
Trumpets 10 5 20 25
Drums 8 4 16 20
Books 0 40 100
Boxes 0 2 5
What are the ratios?Ratio expresses the relationship between two or more numbers. It is the number of times that one value is contained within other value(s).
The ratio of snakes to frogs can be determined by counting the number of snakes and frogs.
Number of snakes = 4
Number of frogs = 8
The ratio of snakes to frogs - 4 : 8 = 1 : 2
The ratio of frogs to animals = number of frogs : number of animals = 8 : 12 = 2 : 3.
Number of snakes if 3 more are added = 4 + 3 = 7
Ratio of snakes to frogs - 1 : 2
Number of frogs that would keep the ratio constant = 7 x 2 = 14
Number of frogs that should be added = 14 - 8 = 6
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Box A has a length of 5 feet, height of 1 foot, and width of 3 feet. Box B has a length of 4 feet, height of 3 feet, and width of 2 feet. Box C has a length of 7 feet, height of 2 feet, and width of 1 foot. Box D has a length of 3 feet, height of 3 feet, and width of 3 feet.
Lucas wants to use the box with the greatest volume. Which shipping box should he use?
Box
Lucas will be using the shipping box D as it is the box with the greatest volume of 27ft³
Volume of a rectangular boxThe volume of a rectangular box is calculated by multiplying its three dimensions which are the length, width, and height . That is Length × Width × Height in the same units.
volume of box A = 5ft × 3ft × 1ft
volume of box A = 15ft³
volume of box B = 4ft × 2ft × 3ft
volume of box B = 24ft³
volume of box C = 7ft × 1ft × 2ft
volume of box C = 14ft³
volume of box D = 3ft × 3ft × 3ft
volume of box D = 27ft³
Therefore, the shipping box with the largest volume is box D with 27ft³
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Answer:
Step-by-step explanation:
FEEL ME ITS D
ITS D
THE ONE WITH THE 333
Members of the student government are planning a movie night on campus. They have asked a random sample of students which of four movies the student would prefer. Here are the results Movie A- 31 students, Movie B- 27 students, Movie C- 34 students, Movie D- 28 students. There are 900 students total on campus. Based on the above information, how many students on campus would we expect to prefer Movie C? Round your answer to the nearest whole number. Do not round any intermediate calculations
There are 255 students who prefer Movie C.
In the given case, the total number of students in the campus = 900
Number of students in the random sample :
= 31 + 27 + 34 + 28
= 120
Number of students who prefer to watch movie C in the chosen sample:
= 34
To get number of students who would prefer to watch the movies C in the total population of 900, we can extrapolate the data from the chosen sample to the entire population.
Thus, number of students expected to prefer movie C in the campus =
34/120 × 900
= 255
Hence the expected number of students are 255.
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The photo added is the question.
By taking some products we will see that the total number of cupcakes ordered is 6 cupcakes.
How many cupcakes are ordered?Here we want to see how many cupcakes this person is ordering. We know that orders 9 halves of a cupcake for the family, plus a quarter of a cupcake for each of the 6 friends.
The total number of cupcakes is given by the order for the family plus the order for the friends.
The order for the familiy is given by the product:
9*(1/2) = 9/2 = 4.5
That is 9 times 1/2 of a cupcake, so for the family the person orders 4.5 cupcakes.
For the friends the person orders 6 times 1/4 of a cupcake, so now we have the product:
6*(1/4) = 6/4 = 3/2 = 1.5
If we add these two numbers we get the total number of cupcakes:
4.5 + 1.5 = 6
The person ordered 6 cupcakes.
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11/7 Thursday Math Math Hw. Fractions
Answer:
96, $ 144
Step-by-step explanation:
Parallel Lines relay race page C
Can someone lmk the answers
The value of the angle regarding the parallel lines are:
1. x = 14
2. x = 9
3. x = 17
4. x = 5
How to calculate the values?1. Lines 'l' and 'm' are the parallel lines and a transversal line is intersecting these lines.
(9x + 13)° = (12x - 29)° [Alternate interior angles]
9x - 12x = -29 - 13
-3x = -42
Divide
x = 14
2). By substituting x = 14 in the box.
(13x + 5)° + (8x - 14)° = 180° [Consecutive interior angles]
21x - 9 = 180
21x = 189
Divide
x = 189/21
x = 9
3). By placing x = 9 in the box,
(5x + 52)° = (9x - 16)° [Corresponding angles]
5x - 9x = -52 - 16
-4x = -68
x = 17
4). By placing x = 17 in the box,
(10x + 17)° = (12x + 7)° [Alternate exterior angles]
10x - 12x = -17 + 7
-2x = -10
x = 5
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What is the quotient of 30 and 0.08
Answer:
30 divided by 0.08 will get you 375
Step-by-step explanation:
290 to 490 percent increase how much did it increase
answer the answer is 200
Step-by-step explanation:
490-290
Richard made punch for a party. He used 1\2 cup of pineapple juice, 1\2 cup of ginger ale, and 1\4 cup of white grape juice. How much liquid did he use in the punch? cups
The liquid that Richard used in the punch is 1 1/4 cups.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, Richard made punch for a party. He used 1/2 cup of pineapple juice, 1/2 cup of ginger ale, and 1/4 cup of white grape juice.
The total fraction will be:
= 1/2 + 1/2 + 1/4
= 1 1/4 cups.
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Evaluate the expression X - 2 + 2(4) - X when x =12
Answer: 6
Step-by-step explanation: You'll need to substitute x for 12 in the expression, which will be 12 - 2 + 2(4) - 12, and using BODMAS/BIDMAS/PEDMAS (or whatever you use), you should get 6 if you did it correctly.
Answer:
18
Step-by-step explanation:
using bodmas rule by working out brackets first
please if you can help me that would be very apricated :)
Answer: b
Step-by-step explanation:
This question number 7 and I need help
The product of two numbers exists done by multiplying a number with the other. The product of a number x and 7 exists 7x.
What is meant by product?The result of multiplying two or more numbers together is known as a product in mathematics. A number that is obtained by multiplying two or more other numbers together is referred to in mathematics as a product.
The outcome of one or more multiplications is referred to as a "product." For instance, the mathematical statement "times equals" would be written with the multiplier, the multiplicand, and their product as the variables.
Let the variable be x
x be a number
So, the product of x and 7 exists calculated as:
Product = 7 × x
Product = 7x
Therefore, the product of a number (x) and 7 exists 7x.
The complete question is:
The product of a number and 7
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3
8
13
24
53
123
213
Answer:
321 is the next number that comes in the calculator.
Please help!! See screenshot attached below (100 pts)
Answer:
f(2) = 0
Step-by-step explanation:
Factor Theorem
If f(x) is a polynomial, and f(a) = 0, then (x – a) is a factor of f(x).
Therefore, applying the factor theorem, if (x - 2) is a factor of a polynomial f(x) then f(2) = 0.