Step-by-step explanation:
Part AAt least 30 miles but less than 50 miles each week.
Required inequality:
30 ≤ x < 50In 4 weeks:
120 ≤ 4x < 200Part B"At least" means equal or more than 30, hence 30 ≤ xLess than 50, hence x < 50Part CAt least 8 but no more than 12 gallons of gas each week, with the cost $2.25 to $2.50 per gallon.
Match the lowest and highest ends. This is converted as:
8*$2.25 ≤ m ≤ 12*$2.50Simplified:
$18 ≤ m ≤ $30The dimensions of a rectangle are √50a^3b^2 and √200a^3. What is the students error?
Answer:
The student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .
Thus, option D is correct.
Step-by-step explanation:
The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:
[tex]P = 2l + 2w[/tex]
In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.
In our case, the dimensions of a rectangle are [tex]\sqrt{50a^3b^2}[/tex] and [tex]\sqrt{200a^3}\:\:[/tex].
Here is the student's solution:
[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]
[tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]
[tex]=30ab\sqrt{2a}[/tex]
The student made an error in calculating [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] , because [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] are not like terms.
Hence, [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] can not be simplified to [tex]30ab\sqrt{2a}[/tex]
Therefore, the student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .
Thus, option D is correct.
Here is the correct Solution:
[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]
[tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]
Answer:
D. The student incorrectly simplified 10ab sqrt2a+ 20a sqrt2a
Step-by-step explanation:
Just did it.
Find: 1. three quartiles and 2. interquartile range (IQR).
1, 3, 9, 12, 12, 14, 18
The position of Q1 is the 2th number. Q1 is 3.
The position of Q2 is the 4th number. Q1 is 12.
The position of Q3 is the 6th number. Q1 is 14.
IQR is 11.
What are the required values?The first quartile, second quartile and the interquartile range are used to measure the variation of data. Median is a measure of central tendency. Median is the number at the center of the dataset.
Q1 = 1/4 x (n + 1)
1/4 x 8 = 2nd number = 3
Q2 = 1/2 x (n + 1)
1/2 x 8 = 4th number = 12
Q3 = 3/4 x (n + 1)
3/4 x 8 = 6th number = 14
IQR = Q3 - Q1
14 - 3 = 11
learn more about median, please check: https://brainly.com/question/20434777
#SPJ2
Here are the ingredients needed to make 8 pancakes.
250 ml milk
1 egg
140g flour
5G butter
Simon makes 4 pancakes. Work out how much milk he needs.
Craig makes 12 pancakes. Work out how much butter he needs.
Answer:
250ml milk ÷ 2 = 125 ml of milk
(5÷8) x 12 = 7.5G butter
hope this helped :)
Evaluate the following expression if x=4 28x - 9 (2x+ 6)
Answer:
-14
Step-by-step explanation:
substitute 4 for x
28(4) - 9 (2(4)+ 6)
multiply
112-9(8+6)
add numbers
112-9(14)
multiply
112-126
subtract
-14
The local appliance store is advertising a 17% off sale on a new flat-scree TV. If the sale price is $664, what was the original price of the flat-screen TV?
Answer:
the original price = $800
Step-by-step explanation:
To find the fraction of the original price, subtract 0.17 from 1.00, obtaining 0.83. Then 0.83n = $664 yields n = the original price = $800
77.5 as fraction or a mix number simplest form
Answer:
31/40 is a fraction of 77.5
Answer:
Well, 77.5 in fraction form is 77 1/2, also simplified.
Step-by-step explanation:
SOLVE the EXPRESSION
Evaluate.
2t2 - 18
+
Evaluate 2t2 - 18 + ( incomplete question )
SOLUTION:▶️ 2t2 - 18
▶️ 2t × 2 - 18
▶️ 4t - 18
ANSWER:4t - 18
Each tile is 3/2 feet by 3/2 feet. There are 10 tiles on the bathroom floor.
What is the area covered by the tiles?
Explain how you know.
9514 1404 393
Answer:
22.5 square feet
Step-by-step explanation:
The area covered by one tile is the product of its dimensions:
A = lw
A = (3/2 ft)(3/2 ft) = 9/4 ft²
The area covered by 10 tiles is 10 times the area covered by one tile. The area covered is ...
covered by tiles = 10 × 9/4 ft² = 90/4 ft²
covered by tiles = 22.5 ft²
22 1/2 square feet is the area covered by tiles.
Help Now!!Will give brainly!!!
Answer:
a. 202.5 m³
Step-by-step explanation:
Volume = a² × h/3
Where a is the side length and h is the height
Problem 3.39) Suppose that 10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition. Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic
Answer:
0.2916 = 29.16% probability that one of them is pre-diabetic
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition, or they do not. Each volunteer in independent of other volunteers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition.
This means that [tex]p = 0.1[/tex]
Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic
This is P(X = 1) when n = 4. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916[/tex]
0.2916 = 29.16% probability that one of them is pre-diabetic
i need help asap do tonight
Answer:
The first one..
Step-by-step explanation:
Answer:
The top one
Step-by-step explanation:
If you minus 19-10 you get 9 then if you divide 9 by 3 you get 3 which means that each soda costs 3 bucks
What are the answers?
Answer:
Step-by-step explanation:
4(8x+16) = 32x + 64 = perimeter
(Sorry don't know what it means by factor)
Directions: select the correct answer from the drop-down menu.
Answer:
B
Step-by-step explanation:
B.) infinite solutions.
The reason I say this is because there is an arrow pointing down past the number line meaning that the number line never ends.
Hope this helps.
。 . . 。 ඞ ඞ ඞ ඞ ඞ ඞ ඞ 。 . • . [Northstar] was ejected. . . 。 . 。 ﾟ . . , . . .. 。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。。 • ﾟ 。 . . . 。
There are 50 tickets sold for a raffle for a Student Art
Auction, and there is one prize to be awarded. If Dionte
buys a ticket, find the odds that he'll win.
Answer:
1
Step-by-step explanation:
50 tickets
1 price 50/1 = 1
In how many different ways can you divide the shape to get the same number and type of shapes you obtained in part A?
Answer:
There are two ways of decomposing these shapes, Into two rectangles and one triangle!
Step-by-step explanation:
Just did this on EDMENTUM you got thiss!
Dont forget to eat a brownie! <3
Answer:
There are two ways of splitting the shape into two rectangles and one triangle.
Step-by-step explanation:
Reduce the ratio to its lowest form 12:30
Answer:
2/5
Step-by-step explanation:
Reduced fraction: 25. So, 12/30 simplified to lowest terms is 2/5.
Hope this helps!
What is the value of q?
a. 4√5
b. 2√14
c. 20√5
d. 64√5
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Answer:
(b) 2√14
Step-by-step explanation:
The geometric mean theorems applicable to this geometry are ...
q = √(4·(4+10))
q = 2√14
__
Other unknowns
r = √(10·(10+4)) = 2√35
s = √(10·4) = 2√10
Hunter cut his pizza into 10 slices.he ate 4 slices of the pizza.what fraction is equivalent to the amount of pizza he ate
Answer:
4/10=2/5
Step-by-step explanation:
because
20 points for this question
Answer:
Step-by-step explanation:jk
Answer:
10
Step-by-step explanation:
The type of triangle is .............angled triangle
70
50
A) Acute
B) Obtuse
C) Right
Ο Α
Ов
Ос
Answer:
Step-by-step explanation:
Masha bought 24 snickers, 56 kit kats and 96 twixies to make identical goody bags with the same number of snickers twixies and kit kats. What is the largest number of identical goody bags masha can make if she wants to use all the candies
Answer:
it is 24
Step-by-step explanation:
Please help me with this question above
Answer:
top to bottom
Step-by-step explanation:
The volume inside a rectangular storage room is 2061 feet The room is 9 feet high find the area of the floor
Answer:
229 ft²
Step-by-step explanation:
Note that the volume is 2061 ft³, not 2061 ft.
area of floor = volume÷height = (2061 ft³)/(9 ft) = 229 ft²
The probability that an event will occur is . Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer:
unlikely hope it helps
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to sin^2x-sinx-2/sinx-2?
Answer:
A
Step-by-step explanation:
We are given:
[tex]\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}[/tex]
To make it simpler and more clear, we can let u = sin(x). So:
[tex]\displaystyle \frac{u^2-u-2}{u-2}[/tex]
Now, it becomes obvious that we can factor, which produces:
[tex]\displaystyle =\frac{(u-2)(u+1)}{u-2}[/tex]
Cancel:
[tex]=u+1[/tex]
And substituting back:
[tex]=\sin(x)+1[/tex]
Hence, our answer is A.
Answer:
A
Step-by-step explanation:
What is the scale factor of the dilation shown?
Next time, the rabbit from the previous problem start at 10 where on the number line can he be after the same three jumps?
Previous problem : A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not know the direction of either jump. Where on the number line can this rabbit be now?
Answer:
8
Step-by-step explanation:
John had to different syrups. Syrup A is 2 parts sugar and 8 parts water, and Syrup B is 3 parts syrup and 5 parts water. How much of each should John mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water?
It all started when my mom met my dad...
You'll know the rest
2. Select all of the numbers that Courtney could multiply by 72,033 to get a product LESS than 72,033 (2 Points)
A. 1 and 3/4
B.718
C.2
D. 1/6
E. 12/8
Answer:
Step-by-step explanation:
It's not A since that means 1 3/4 or 7/4. That isn't a possible answer since 7/4 is greater than 1.
B: not the answer. You'll make 72000 almost 1000 times bigger if you use B.
C: same reason as B. Anything over 1 will make 72033 larger, not smaller
E: 12/8 > 1. It can't work.
The answer is d . Try it on your calculator. Anything between 0 and 1 make make any number smaller. (include zero, don't include 1).
8. Read this question carefully. PLEASE NEED HELP NOWWW
At a dinner, the meal cost $32.00 and a sales tax of $2.40 was added to
the bill.
a. How much would the sales tax be on a $66.00 meal?
b. What is the tax rate for meals at this restaurant?

Answer:
a.70.95
b. 7.5
Step-by-step explanation
If you divide 2.40 by 32, you get the ratio of the tip to cost, which is 0.075, or 7.5 percent. Multiply 66 by 1.075, which includes both the cost and the tax.