Answer:
Frank is correct, because (see explanation below)
Step-by-step explanation:
Let's separate into two cases:
Case 1: Blue marble
[tex]\frac{6}{7}[/tex] (There are 6 blues in the bag and 7 marbles in total in the bag, we put the 6 in the numerator because we want a blue marble first.)
Case 2: Green marble
[tex]\frac{1}{6}[/tex] (There is only 1 green in the bag and 6 marbles remaining in the bag, because we already took 1 blue out in Case 1. We put 1 in the numerator because we want the green marbloe only.)
Multiply Case 1 with Case 2 because they are a combination:
[tex]\frac{6}{7} * \frac{1}{6} = \frac{1}{7}[/tex]
Therefore Frank is correct.
Junior bought a work truck for $13,000. The value of his truck will depreciate, or decrease, by 15% each year. Which recursive formula models the value of his truck after each year?
The correct recursive formula which models the value of his truck after each year is,
⇒ 13,000 (0.85)ⁿ
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Junior bought a work truck for $13,000.
And, The value of his truck will depreciate, or decrease, by 15% each year.
Hence, We get;
The correct recursive formula which models the value of his truck after each year is,
⇒ 13,000 (1 - 15/100)ⁿ
⇒ 13,000 (1 - 0.15)ⁿ
⇒ 13,000 (0.85)ⁿ
Thus, The correct recursive formula which models the value of his truck after each year is,
⇒ 13,000 (0.85)ⁿ
Learn more about the percent visit:
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Give 3 pairs of prime numbers that add up to 50
Answer:
3 and 47
7 and 43
19 and 31
Step-by-step explanation:
Prime numbers up to 50:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Therefore,
3 + 47 = 50
7 + 43 = 50
19 + 31 = 50
Solve for x. Round your answer to the nearest tenth.
30
33
x
Step-by-step explanation:
it's an isosceles triangle
ht will intersect the base at 90°
so x^2 =33^2+15^2
x = 36.2
You were playing fetch with your dog and accidentally
threw the toy and it got stuck on the roof of your house.
You leaned the ladder against your house at a 30° angle
of elevation. The foot of the ladder is 7 feet from the foot
of the house. How long is your ladder?
You leaned the ladder against your house at a 30 degrees angle -> This create a right triangle, with a 30 degree angle and your ladder is the hypotenuse.
The foot of the ladder is 7 feet from the foot of your house -> The opposite side = 7 feet
In a right triangle, the side that is opposite to a 30 degree angle = 1/2 of the hypotenuse
Since your ladder is the hypotenuse, and the opposite side is opposite to the 30 degree angle, your ladder is 7 x 2 = 14 ft long.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
The answer is B.
Step-by-step explanation:
Point A is on (-6,7) is you move it two left and 2 up it changes to the point (-8,9)
Hope this helped.
A brainliest is always appreciated.
Two people (A and B) travel from X and Y along different routes. their journeys each take the same amount of time. a’s route is 90 km, B’s route is 60 km. B travels at an average speed of 40 km/h what is a’s average speed
Answer:
a’s average speed is 60km/h
Step-by-step explanation:
x = a’s average speed
60/40 = 90/x
Cross multiplication:
60x = 40x90
60x=3600
Divide both sides by 60
x= 60
Person A's average speed is 60 km/h.
What is speed?Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values are given using this formula.
We have,
We can start by using the formula:
Distance = speed x time
Let's denote A's average speed as "S" and the time taken for both A and B as "T".
For person B, we have:
60 = 40 x T
Solving for T, we get:
T = 1.5 hours
Now we can use the same formula for person A:
90 = S x 1.5
Solving for S, we get:
S = 60 km/h
Therefore,
Person A's average speed is 60 km/h.
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Tell whether x=6 is a solution of x−1 ≤ 7.
Answer:
x = 6 is a solution of x - 1 [tex]\leq[/tex] 7.
Step-by-step explanation:
First, plug in x = 6 into the inequality.
x - 1 [tex]\leq[/tex] 7 for x = 6
6 - 1 [tex]\leq[/tex] 7
Now, solve.
6 - 1 = 5
5 [tex]\leq[/tex] 7
The statement above is true, so x = 6 is a solution to x - 1 [tex]\leq[/tex] 7.
Please inform me of any mistakes.
Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary.
2 m
The circumference of the circle is about
m.
The area of the circle is about
m2.
Answer:
that's circumference is probably 11
Use a protractor to draw a pentagon so that the bottom side is horizontal and the left and right sides are perpendicular to the bottom side. The angles formed at the top left and right sides each measure 146°. What is the measure of the fifth angle?
A. 57°
B. 63°
C. 68°
D. 74°
Answer: 68
Step-by-step explanation:
Answer:
the answer is 68
Explanation:
Brandon buys a radio for $44.97 in a state where the sales tax is 7%.
Part 1 out of 2
How much does he pay in taxes? If necessary, round to the nearest cent.
Answer: If a magazine costs $2.35 and has a 6% sales tax, then what is the total cost of the item. First, we need to convert the sales tax percentage into a decimal
Step-by-step explanation:
a basket when empty weight 350g it contains 60 seeds each weigh 250mg what is the total mass of the baskets in seed in kilograms
Answer:
0.365 kg
Step-by-step explanation:
The first I did was turn the 250mg to grams so the conversion factor would be 1 milligram = 0.0001 gram.Divide the 250mg by 1000g to get 0.25g. Multiply 0.25g by 60 to get 15g.Add 15g to the weight of the empty basket, 350g. You should end up with 365g.The question asked for kilograms so divide 365g by 1000.The final answer is 0.365kg.I hope this explains it and helps :)
Answer:Answer:
0.365 kg
Step-by-step explanation:
The first I did was turn the 250mg to grams so the conversion factor would be 1 milligram = 0.0001 gram.
Divide the 250mg by 1000g to get 0.25g.
Multiply 0.25g by 60 to get 15g.
Add 15g to the weight of the empty basket, 350g. You should end up with 365g.
The question asked for kilograms so divide 365g by 1000.
The final answer is 0.365kg.
I hope this explains it and helps :)
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
position number 1 6 2 7 3 8 4 9 n ? Consider the sequence in the table. Which formula gives the number that would be in the nth position of the sequence? A) 5n B) 10n C) n + 5 D) n - 5
Answer:
C)
Step-by-step explanation:
Given:
[tex]a_1=6=1+5\\\\a_2=7=2+5\\\\a_3=8=3+5\\\\a_4=9=4+5[/tex]
[tex]\implies a_n=n+5[/tex]
Which of the following functions is nonlinear?
A. f(x)=1/5x-2
B. f(x) = 10x+100
C. f(x)= |3x -8|
D. f(x) = x
Answer:
C. f(x)= |3x -8|
Step-by-step explanation:
*view attached graph*
the radius pof a DVD is 60mm what is the DVDs circumfrance
Answer:
approx. 376.8mm
Formula = 2r×pi
Step-by-step explanation:
Hope this Helps!!!
hi guys can u help me with this
Hello.
The first fraction is
[tex]\displaystyle\frac{9}{15}[/tex]
Both the top and bottom can be divided by 3:
[tex]\displaystyle\frac{3}{5}[/tex] (Simplest Form)
Next fraction:
[tex]\displaystyle\frac{15}{40} =\frac{3}{8}[/tex]
We divided the top & bottom by 5.
Next:
[tex]\displaystyle\frac{20}{35}[/tex]
Divide the top & bottom by 5:
[tex]\displaystyle\frac{5}{7}[/tex]
Next:
[tex]\displaystyle\frac{12}{20} \\\text{Divide by 4:}\\\displaystyle\frac{3}{5}[/tex]
Next:
[tex]\displaystyle\frac{44}{48} =\frac{11}{12}[/tex]
Next:
[tex]\displaystyle\frac{5}{60} =\frac{1}{12}[/tex]
Next:
[tex]\displaystyle\frac{10}{24} =\frac{5}{12}[/tex]
next:
[tex]\displaystyle\frac{25}{30} =\frac{5}{6}[/tex]
next:
[tex]\displaystyle\frac{10}{18} =\frac{2}{9}[/tex]
next:
[tex]\displaystyle\frac{28}{40} =\frac{14}{20} =\frac{7}{10}[/tex]
[tex]\displaystyle\frac{8}{10} =\frac{4}{5}[/tex]
[tex]\displaystyle\frac{3}{9} =\frac{1}{3}[/tex]
[tex]\displaystyle\frac{15}{20} =\frac{3}{4}[/tex]
[tex]\displaystyle\frac{6}{9} =\frac{2}{3}[/tex]
[tex]\displaystyle\frac{20}{32} =\frac{5}{8}[/tex]
[tex]\displaystyle\frac{5}{35} =\frac{1}{7}[/tex]
[tex]\displaystyle\frac{2}{8} =\frac{1}{4}[/tex]
[tex]\displaystyle\frac{2}{20} =\frac{1}{10}[/tex]
[tex]\displaystyle\frac{33}{36} =\frac{11}{12}[/tex]
[tex]\displaystyle\frac{15}{40} =\frac{3}{8}[/tex]
[tex]\displaystyle\frac{32}{36}=\frac{8}{9}[/tex]
[tex]\displaystyle\frac{14}{20} =\frac{7}{10}[/tex]
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
100.11256 round to the nearest 10th
Answer:
100.10000
Step-by-step explanation:
Because tenth is 1rst number behind decimal so 1. and 1 is asking it's neighbor hundredths/1 for helps and since 1 is 4 and below it can't go up so it stays the same at 1.
Hope it helps have a great day:)
Find the value 3x-2 when x=4
Answer:
10
Step-by-step explanation:
Substitute 4 for x to solve the expression:
[tex]3x-2\\3(4)-2\\12-2\\10[/tex]
a Martin took a tax from his home to the airport. The taxi driver charged an initial fee of $9.00 plus $2.75 per mile. The total fare was $50.25, not including the tip. How many miles did Martin travel by taxi on this ride?
4) For every 3 notebooks Sally bought, she was given 1 free. Sally spent $12 and
received 8 notebooks. How many notebooks would she get if she had spent $130?
1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.
(b) Explain your graph.
Answer:
Step-by-step explanation:
The relationship between the number of popcorn and drinks is linear relationshipThe responses are;(a) Please find attached the required graph created with MS Excel(b) From the graph, we have that as the number of bags of popcorn Judy buys increases, the number of drinks decreases linearlyReasons:The given parameter are;Amount Judy took with her to spend on popcorn and drinks = $30Price of each bag of popcorn = $5Price of each drink = Half the price of a bag of popcorn∴ The price of each drink = (a) Let X represent the number of bags of popcorn Judy buys and let Y represent the number of drinks she buys, we have;5·X + 2.5·Y = 302.5·Y = 30 - 5·XWhich gives;Y = 12 - 2·XUsing the above equation, the graph of popcorn and drinks bought by Judy is plotted with MS Excel and attached here(b) The data in the graph are presented as followsThe point corresponding to the y-intercept is the point that gives the maximum number of drinks Judy can buy if she does not buy popcorn is 12 drinks. The number of drinks she can buy reduces by 2 for each bag of popcorn she buys, such that she can buy 6 bags of popcorn and no drinks which is the x-intercept.
Answer:
265
Step-by-step explanation:
HELP DUE IN 5 mins The company ordered boxes of concrete nails weighing 3.35 kgs each and a box of 2.5 kgs of screws. The eight construction workers each received a box of nails and each worker used 1.23 kgs of concrete nails yesterday. What is the weight of the concrete nails left in each box? If the concrete nails were put together in a big toolbox, how much would the concrete nails weigh?
Answer: See below
Step-by-step explanation:
Weight of concrete nails - weight of concrete nails used = weight of concrete nails left
3.35 – 1.23 = 2.12
Weight of concrete nails left * number of workers = total weight of concrete nails
2.12 x 8 = 16.96
There are 2.12 kgs of concrete nails left in each of the boxes and there are 16.96 kgs of concrete nails altogether
A national appliance store chain is reviewing the
performances of its 400 sales associate trainees.
How can the store choose a representative
sample of the trainees?
Answer:
d
Step-by-step explanation:
If 50 witches drank a potion that makes 2 of them selfs how much withces will be there?
Answer:
100
Step-by-step explanation:
if you are doing this you need to do 50x2 which in this case equals = 100
I need HELP ASAP, this is about Pythagorean theorem. HELP ASAP NOWWWW!!!!1111
Answer:
30
Step-by-step explanation:
The Pythagorean Theorem is c2 (c squared) = a2 (a squared) + b2 (b squared).
The side lengths (24 and 18) can be plugged in for a and b. C is the length of the hypotenuse.
24 Squared + 18 Squared= c squared
Use a calculator to help you.
24 squared is 576
18 squared is 324
So, 576+324=c squared
Simplify
900=c squared
Now use the squre root on both sides to get rid of the c squared. (use a calculator)
30=c
What is the difference between the mean absolute deviation (MAD) for data set A and B?
Data set A 10, 9, 3, 8, 10
Data set B 5, 11, 2, 7, 16
Round your final answer to the nearest tenth.
2.2
0
14
10
Answer:
10
Step-by-step explanation:
Solve the equation -18=1/4y
Answer:
Solution=−72
Step-by-step explanation:
Combine multiplied terms into a single fraction−18=14−18=14. Multiply by 1. Multiply all terms by the same value to eliminate fraction denominators. Cancel multiplied terms that are in the denominator. Multiply the numbers. Move the variable to the left.
Hollyville Elementary is having a pizza party. The school secretary plans on ordering 25 pizzas. There are 10 classes in the school. If each class is given pizzas, is 25 pizzas enough for the entire school? If so, how much pizza, if any, will be left over? If not, how many more pizzas will they need?
1, Yes, 25 pizzas are enough. There will be 2 pizzas left over.
2, No, 25 pizzas are not enough. They need 2 more pizzas.
3, No, 25 pizzas are not enough. They will need 1 more pizza.
4, Yes, 25 pizzas are exactly enough. There will not be any pizza left over.
A petrol pump can hold enough petrol to supply 80
cars with 35 litres each. How many cars can it
supply with 50 litres?
Álgebra 1 please help!!!
Answer:
a. geometric sequence
b. an = 5(2)^n-1
c. an+1 = an x 2
Step-by-step explanation:
The sequence: 5, 10, 20, 40,...
a. The sequence is geometric because the sequence has a common ratio of 2, each number is made by multiplying the previous number with the common ratio (2).
b. The explicit formula for this sequence is an = 5(2)^n-1
The explicit formula for a geometric sequence is
an = a1 (r)^n-1
Substituting that with the values we know, we will get
an = 5(2)^n-1
c. The recursive formula for this sequence is an+1 = an x 2
The recursive formula for a geometric sequence is
an+1 = an x r
Substituting for the values we know, we get
an+1 = an x 2
Let me know in the comments if you have any questions! If you could mark this answer as brainliest, I would very much appreciate it
The number of words in the three dictionaries is 1200. How
many words are there in 8 such dictionaries?
this is pretty simple! there are three dictionaries.
if all three dictionaries together have 1200 words, then each dictionary will have 1/3 of 1200 words. this is 400.
if each dictionary has 400 words, eight dictionaries will have 400*8 which is 3200 words.