Answer:
1. The correct option is C.
2. The correct option is B.
Step-by-step explanation:
1.
The given expression is
[tex]\frac{18x^3+12x^2-3x}{6x^2}[/tex]
Simplify the expression,
[tex]\frac{18x^3}{6x^2}+\frac{12x^2}{6x^2}-\frac{3x}{6x^2}[/tex]
Cancel out the common factors.
[tex]3x+2-\frac{1}{2x}[/tex]
Therefore option C is correct.
2.
The given expression is
[tex]\frac{2x^3-x^2-24x+12}{2x-1}[/tex]
Use grouping method to simplify the numerator.
[tex]\frac{x^2(2x-1)-12(2x-1)}{2x-1}[/tex]
[tex]\frac{(2x-1)(x^2-12)}{2x-1}[/tex]
Cancel out the common factors.
[tex]x^2-12[/tex]
Therefore option B is correct.
How do yo write 51 centimeters as a fraction of a meter?
Wendy is a college student in her sophomore year. She is single with no kids, and has her education paid for by a scholarship. What type of life insurance does she need?
True or false the following list of numbers is in ascending order 0.12, 0.106, 0.1, 0.07, 0.009
No, The numbers are not in Ascending order.
What is Ascending order?
The numbers arrange in order to least to greatest number is called Ascending order.
Given that;
The number are arrange as,
⇒ 0.12, 0.106, 0.1, 0.07, 0.009
Now,
Since, The number are arrange as,
⇒ 0.12, 0.106, 0.1, 0.07, 0.009
Hence, We can say that,
⇒ 0.12 > 0.106 > 0.1 > 0.07 > 0.009
Clearly, The numbers are arrange form greatest to lowest numbers.
Hence, The number is arrange in Descending order.
Thus, The numbers are not in Ascending order.
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The tires on your bicycle have a diameter of 9 inches. How many rotations does each tire make when you travel 300 feet? Round your answer to the nearest whole number.
Answer:400
Step-by-step explanation:
1 foot = 12 inch
300 by 12 = 3600
3600 divided by 9 inches = 400
You're welcome L0L
Need so much help please
Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute. 5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5 Which statements are true about a histogram with one-minute increments representing the data? Check all that apply. A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes. The histogram will have a shape that is left-skewed. The histogram will show that the mean time is greater than the median time of 7.4 minutes. The shape of the histogram can be approximated with a normal curve. The histogram will show that most of the data is centered between 6 minutes and 9 minutes. ITS A, D, E, I JUST TOOK THE QUIZ!!!
One batch of fruit punch contains 1/4 quart grape juice and 1/2 quart apple juice. Colby makes 9 batches of fruit punch. How much grape juice did he use for 9 batches?
Wayne is using a waterproof covering to cover a storage locker that measures 4 ft wide, 10 ft tall, and 6 ft long. Which is the correct unit of measurement to use to figure out the amount of covering Wayne needs to cover the storage locker? A. ft² B. ft³ C. ft
PLEASE HURRY!!
Given the dimensions of locker box are length = 6 feet, width = 4 feet, and height = 10 feet.
Wayne wants to cover the box, so we need to find its total surface area. The box is in the shape of rectangular prism.
We know the formula for total surface area of rectangular prism is given as follows :-
[tex] Total \;Surface \;Area = 2*(lw + wh + hl) [/tex]
T.S.A. = 2·(6 x 4 + 4 x 10 + 10 x 6) = 2·(24 + 40 + 60) = 2·(124) = 248 feet²
Surface Area = 248 squared feet
To cover the locker with waterproof covering, we needed to find the surface area of the box. As we multiplied two dimensions at a time in the formula, so the units are "squared feet".
Hence, option A is correct i.e. squared feet or ft².
if the mean of seven values is 39, find the sum of the values.
Help with math? Giving 30points
Answer:
The domain is all possible values of 'x' that would make the function true. As you can see from the graph, this function goes out to infinity both ways, so all values of 'x' will satisfy the function, so your answer should be:
Step-by-step explanation:
A student solved this problem by making a table.
Arturo has $120. Max has $90. In how many years will they both have the same amount of money if Arturo saves $90 per year and Max saves $100?
Arturo $120 $210 $300 $390
Max $90 $190 $290 $390
Year 0 1 2 3
Here is a problem that can also be solved by making a table.
Amira has $80. Sasha has $40.
In how many months will they both have the same amount of money if Amira saves $40 per month and Sasha saves $50?
Jasmine has 5 1/4 cups of frosting. She wants to put 3/8 cup of frosting on each cupcake she makes. About how many cupcakes can she make?
can u please help me list it greatest to least
Please help, I’ve been stuck on this question for about a hour now.
I really need help on this!! God bless you!!
If a triangle has the sides of 7,24,25, determine whether the triangle is a right triangle.
Answer:
it is a right triangle
Step-by-step explanation:
by Pythagorean theorem
Mikayla asked 10 of her friends how many hours of TV they watch in a week. Three of her friends said 8 hours, two of her friends said 9 hours, two of her friends said 11 hours, one of her friends said 12 hours, and two of her friends said 14 hours. Mikayla wanted to make a dot plot of the data she gathered. In what order would she create the dot plot?
Answer:
it´s A Got it right on Edge 2022
Step-by-step explanation:
What is the value of 12-6*3?
A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Use 3.14 to approximate pi, and express your final answer as a decimal. Enter your answer in the box. ft³
Answer:
The volume of cone -shaped tent is 226.08 cubic ft.
Step-by-step explanation:
Given : A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.
To find : What is the volume of the tent?
Solution : The formula of volume of cone is
[tex]V=\frac{1}{3}\pi r^{2} h[/tex]
where, r is the radius
we have given diameter = 12 =2r
r=6 ft
h is the height h=6 ft
[tex]\pi =3.14[/tex]
Substitute the value in the formula,
[tex]V=\frac{1}{3}\pi r^{2} h[/tex]
[tex]V=\frac{1}{3}\times (3.14)\times 6^{2}\times 6[/tex]
[tex]V=\frac{1}{3}\times 3.14\times 36\times 6[/tex]
[tex]V=226.08 ft^3[/tex]
Therefore, The volume of cone is 226.08 cubic ft.
The temperature started at 35 F. If the temperature went down 4°F and then up 2 F, whats is the temperature differe relative to the high temporature?
PLEASE HELP I NEED ANSWER FAST
Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00.
Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get $4.60 + $4.60 = $9.20 for the 15% gratuity.”
How should Antoine respond to Tess’s method?
A) “Tess, the best way to find 15% of $46.00 is to multiply mc013-1.jpg by $46.00 to get $3.07, which is the 15% gratuity.”
B) “Tess, you found 20% of the number because you added 10% and 10%. You need to add 10% to mc013-2.jpg of 10%. Add $4.60 and $2.30 to get $6.90, which is the 15% gratuity.”
C) “Tess, the best way to find 15% of $46.00 is to multiply 0.015 and 46.00 to get $0.69, which is the 15% gratuity.”
D) “Tess, you should use a table with 5% segments to find the gratuity. Each 5% segment has a value of $9.20, so that is the 15% gratuity.”
What is the volume of this container?
Answer:
C. [tex]75000\text{ cm}^3[/tex]
Step-by-step explanation:
We have been given a container and we are asked to find the volume of our given container.
We can see that our container is made of two cuboids, so we will use volume of cuboid formula to solve our given problem.
[tex]\text{Volume of cuboid}=\text{Length*Breadth*Height}[/tex]
We can from provided image that the base cuboid (bigger) has lengths 25 cm, 40 cm and 40 cm.
The height of smaller cuboid will be 25 cm (50 cm -25 cm). The other two sides of smaller cuboid are 35 cm and 40 cm.
[tex]\text{The volume of container}=\text{Volume of the bigger cuboid + Volume of the smaller cuboid}[/tex]
Upon substituting our given values in volume formula we will get,
[tex]\text{The volume of container}=\text{25 cm*40 cm*40 cm}+\text{25 cm*35 cm* 40 cm}[/tex]
[tex]\text{The volume of container}=40000\text{ cm}^3+35000\text{ cm}^3[/tex]
[tex]\text{The volume of container}=75000\text{ cm}^3[/tex]
Therefore, the volume of our given container is [tex]75000\text{ cm}^3[/tex] and option C is the correct choice.
HELP ME PLEASE I NEED HELP ASAP
HELP ASAP
What is the next term in the sequence below?
1, 3, 9, 27, . . .
A. 30
B. 36
C. 61
D. 81
Please help me out I appreciate it
Jacqueline had four $5 bills. She bought a shirt for $10. Explain what fraction of her money Jacqueline has left. Use equivalent fractions.
Original price: $25; Markdown: 12%
$22 is the sale price when the Original price is $25 and Markdown is 12%.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The original price is twenty five.
The markdown is twelve percentage.
We have to find the sale price of the product.
Let us convert 12% to the decimal value by dividing 12 with 100
12/100=0.12
Now multiply 0.12 with 25
0.12×25=$3
Now subtract 3 from 25
25-3=22
Hence, $22 is the sale price when the Original price is $25 and Markdown is 12%.
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simplify 5.5a-1+21b+3a
Please help me
Final answer:
To simplify the expression 5.5a - 1 + 21b + 3a, combine like terms to get 8.5a + 21b - 1, which is the simplified form of the original expression.
Explanation:
To simplify the expression 5.5a - 1 + 21b + 3a, we need to combine like terms, which are terms that have the same variable raised to the same power. Here, 5.5a and 3a are like terms, and they can be combined by addition. There are no like terms for 21b or the constant -1, so they remain as they are.
Step 1: Combine the coefficients of like terms 5.5a and 3a: 5.5a + 3a = 8.5a.
Step 2: Rewrite the simplified expression with the combined like term: 8.5a + 21b - 1.
This is the simplified form of the original expression.
Find the diameter of a circle if the circumference is 52 inches
Solve the proportion x/6=12/9