4/8 = 1/2
1/2 of 40 is 20
20 will survive
Which expression is equivalent to 9 p minus 3 p + 2? 8p
Answer:
6p - 2
Step-by-step explanation:
9p - (3p + 2) = 9p - 3p - 2 = 6p - 2
The expression that is equivalent to 9 p minus 3 p + 2 is 6p - 2
What is the expressionFrom the question, one have 9p - 3p + 2.
So, one has to combine the like terms, which means adding or subtracting the coefficients of the same variable. For the terms with 'p', one have 9p - 3p.
Combining the coefficients, one get 9 - 3 = 6.
So, 9p - 3p is simplifies to 6p.
So, one have 6p + 2.
The expression is said to be now simplified to 6p + 2.
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Sue has 20 biscuits There are: 12 plain biscuits 5 chocolate biscuits 3 currant biscuits Sue takes two random biscuits Work out the probability that the two biscuits were not the same type
Answer:
58.43%
Step-by-step explanation:
The first thing we must do is calculate the probability of when both are equal, that is, take out two cookies of the same type, since we can calculate that they are not equal by means of their complement:
The probability that they are equal is:
P (plain, plain) = (12/20) (11/19)
= 132/380
P (chocolate, chocolate) = (5/20) (4/19)
= 20/380
P (currant, currant) = (3/20) (2/19)
= 6/380
The final probability would be the sum of these:
P (equal) = 132/380 + 20/380 + 6/380
P (equal) = 158/380
P (equal) = 0.4157
The probability that they are different is the opposite of the probability that they are equal, that is, the complement. Therefore, the probability that they are different is:
P (different) = 1 - 0.4157
P (different) = 0.5843
In other words, the probability would be 58.43%
I need help on this question
Answer:
c
Step-by-step explanation:
Anyone know this ? Please help
Answer:
3018
Step-by-step explanation:
an = a1 + (n-1)d
a1 is the first term in the sequence = 24
n is the term number which is 500
d is the common difference
Take the second term and subtract the first term to find the common difference
d = 30-24 = 6
a500 = 24 + (500-1) *6
=24+ 499*6
=24 + 2994
=3018
Answer:
3018 is the correct answer.
A sequence is defined by the explicit formula an=3n+4 Which recursive formula represents the same sequence of numbers?
Answer:
Option (3)
Step-by-step explanation:
Explicit formula of the sequence is,
[tex]a_n=3^n+4[/tex]
From this explicit formula,
First term of the sequence will be,
[tex]a_1=(3^1)+4[/tex]
[tex]a_1=7[/tex]
Second term of the sequence,
[tex]a_2=(3^2)+4[/tex]
[tex]a_2[/tex] = 13
3rd term of the sequence,
[tex]a_{3}=(3^3)+4[/tex]
= 31
Sequence formed,
7, 13, 31 ..........
From the given options,
Recursive formula,
[tex]a_n=3a_{n-1}-8[/tex]
[tex]a_2=3(a_1)-8[/tex]
[tex]a_2=3(7)-8[/tex]
[tex]a_2=21-8[/tex] = 13
[tex]a_3=3a_2-8[/tex]
[tex]a_3=3a_2-8[/tex]
[tex]a_3=3(13)-8[/tex]
= 39 - 8
= 31
Sequence formed from this recursive formula will be,
7, 13, 31........
Therefore, Option (3) will be the answer.
Answer:
C
Step-by-step explanation:
i took the test
Which equations have the same solution as x + + x = – x plus StartFraction 2 Over 3 EndFraction plus x equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.
Answer:
A, B and D
Step-by-step explanation:
Which equations have the same solution as [tex]\frac{3}{5} x+\frac{2}{3} +x=\frac{1}{2} -\frac{1}{5}x[/tex]
A. 8/5x + 2/3 = 1/2 – 1/5x
B. 18x + 20 + 30x = 15 – 6x
C. 18x + 20 + x = 15 – 6x
D. 24x + 30x = –5
E. 12x + 30x = –5
To find the equations with the same solution, we have to solve or x and determine if the value of x is the same for the remaining options.
[tex]\frac{3}{5} x+\frac{2}{3} +x=\frac{1}{2} -\frac{1}{5}x\\multipying \ through \ by \ 30:\\18x + 20+30x=15-6x\\collecting\ like\ terms:\\18x+30x+6x=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]
A)
[tex]\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x\\ multipying\ through\ by \ 30\ gives:\\48x+20=15-6x\\48x+6x=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]
A has the same solution
B)
[tex]18x+20+30x=15-6x\\18x+30x+6=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]
B has the same solution
C)
[tex]18x+20+x=15-6x\\18x+x+6x=15-20\\25x=-5\\x=\frac{-1}{5}[/tex]
C do not have the same solution
D)
[tex]24x+30x=-5\\54x=-5\\x=\frac{-5}{54}[/tex]
D has the same solution
E)
[tex]12x+30x=-5\\42x=-5\\x=\frac{-5}{42\\}[/tex]
E do not have the same solution
x square + 4 x - 12 all over x squared - 2x
Answer:
[tex]\frac{x+6}{x}[/tex]
Step-by-step explanation:
=> [tex]\frac{x^2+4x-12}{x^2-2x}[/tex]
=> [tex]\frac{x^2+6x-2x-12}{x(x-2)}[/tex]
=> [tex]\frac{x(x+6)-2(x+6)}{x(x-2)}[/tex]
=> [tex]\frac{(x-2)(x+6)}{x(x-2)}[/tex]
Cancelling (x-2)
=> [tex]\frac{x+6}{x}[/tex]
Let x be a constant. The 5th term of an arithmetic sequence is a5=16x+11. The 9th term of the sequence is a9=28x+19. Find the first term of the sequence. Write your answer in simplest form
19
Step-by-step explanation:
The first term of the arithmetic sequence is 4x+3.
What is arithmetic sequence?An ordered group of numbers with a shared difference between each successive term is known as an arithmetic sequence.
The formula to find the nth term of an arithmetic sequence is,
aₙ= a+(n-1)d
Where a is the 1st term and d is the common difference.
Let the first term of sequence is a and the common difference is d.
Given that,
The 5th term of the arithmetic sequence = 16x+11,
⇒ a+4d= 16x+11 (1)
And the 9th term of the arithmetic sequence = 28x+19,
⇒ a+8d= 28x+19 (2)
To find the first term of the sequence, multiply equation (1) with 2 and subtract equation (2) from it.
(2a+8d)-(a+8d) = (32x+22) - (28x+19)
a = 4x+3
The first term of the arithmetic sequence is 4x+3.
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The cost in dollars C(x), where x is the number of miles driven, of renting a car for a day is C(x)=1.95x+32. What is the independent variable and its units? ______ (dollars, miles, miles per dollar, or dollars per mile) - select the correct units What is the dependent variable and its units? ______ (miles or dollars) - select the correct units
Answer:
the independent variable is 32 (price of the car in dollars) as it stands alone without a variable and 1.95 is the dependent (cost per mile)
Calculate 85% of 2 500m
Answer:
Step-by-step explanation:
85% of 2500 m
= 85/100 × 2500 = 2125 m
hope this helps
plz mark it as brainliest!!!!!!
Answer:
2125
Step-by-step explanation:
85% times 2500
20 POINTS + BRAINLIEST ||| Which of these scale factors will result in a reduction? A. 0 B. 1/2 C. 1 D. 5
Answer:
B
Step-by-step explanation:
When you dilate by a factor of 0, this doesn't really make sense because the length of each side is multiplied by 0, and the shape basically doesn't exist anymore. When you multiply by a scale factor of 1, the figure does not change in size at all. When you dilate by a scale factor of 5, each side length gets 5 times larger, meaning that this is not a reduction. Hope this helps!
Shelly biked 21 miles in 4 hours. What is shelly's average speak in miles per hour? What is shelly's average speed in miles per hour?
Answer:
5 1/4 mph
Step-by-step explanation:
21 divided by 4= 5 1/4
Answer:
Average Speed = 5.25 mph
Step-by-step explanation:
Given:
Distance = 21 miles
Time = 4 hours
Required:
Average Speed
Formula:
Average Speed = Total Distance Covered / Total Time Taken
Solution:
Average Speed = 21/4
Average Speed = 5.25 mph
How can a triangular prism have a greater volume than a rectangular prism?
Answer:
Step-by-step explanation:
Assume that the two prisms have bases of equal area.
Then the volume of the rectangular prism is V = (base area)(height).
The volume of the triangular prism is V = (1/3)(base area)(height)
We could compare the two volumes by creating the ratio inequality
(1/3) (base area)(t-height)
------------------------------------------
(base area)(r-height)
The triangular prism will have the greater volume for (1/3)((t-height) > r-height.
The snail moved 6 inches in 120 minutes. What was the average speed of the snail in inches per minute
20 of an inch per minute
1
O z of an inch per minute
O2 inches per minute
O 20 inches per minute
Answer:
The answer is; the snail moved 1 inch every 20 minutes.
Step-by-step explanation:
120 divided by 6 is 20
Answer:
A) 1 Over 20 of an inch per minute
Step-by-step explanation:
I took this test and got 100
Find the fifth term in the sequence that is defined as follows:
Answer : The fifth term in the sequence is -2.
Step-by-step explanation :
As we are given that the expression to calculate the [tex]n^{th}[/tex] term.
The expression is as follows:
[tex]a_n=2(-1)^n[/tex]
where,
n is the number of term
Given:
n = 5
Now putting the value of n in the above expression, we get:
[tex]a_n=2(-1)^n[/tex]
[tex]a_5=2(-1)^5[/tex]
[tex]a_5=2\times (-1)[/tex]
[tex]a_5=-2[/tex]
Therefore, the fifth term in the sequence is -2.
Please help :)
James paid $3.40 for lunch using a total of 16 nickels and quarters. How many of each coin did he have?
A. 5 nickels 11 quarters
B. 13 nickels 3 quarters
C. 3 nickels 13 quarters
D. 1 nickel 15 quarters
Answer:
3 nickels, and 13 quarters.
Step-by-step explanation:
0.05n+0.25q=3.40
n+q=16
q=16-n
0.05n+0.25(16-n)=3.40
0.05n+4-0.25n=3.40
-0.2n=-0.6
n=3
3+q=16
q=13
Which situation is best modeled by the equation 9+=16
Answer:
4th option.
Step-by-step explanation:
You pay $9 and $__ for a total of $16.
$9 + $__ = $16.
9+__=16
can someone help me with this and explain me how to do it please :) ^
Answer:
x= 4
[tex]perpendicular (p) = \sqrt{x} + 1[/tex]
[tex]base(b) = 2 \sqrt{x} [/tex]
[tex]hypotenuse(h) = 2 \sqrt{x} + 1[/tex]
According to the Pythagoras Theoram,
p²+b²= h²
[tex] {( \sqrt{x } + 1) }^{2} + {(2 \sqrt{x} )}^{2} = {(2 \sqrt{x} + 1)}^{2} [/tex]
=>x+2√x+1+4x = 4x +4√x +1=> x = 4x - 4x +4√x- 2√x+ 1- 1=>x= 2√x=> x/√x = 2=> √x = 2Therefore, x= (√x)² = (2)² = 4Answer:
4
Step-by-step explanation:
2√x, √x + 1, 2√x + 1 sides of triangle
√x= y
2y, y+1, 2y+1
(2y)²+(y+1)²= (2y+1)²
4y²+y²+2y+1= 4y²+4y+1
y²-2y=0
y=0 (discarded as side can't be zero) or y= 2
so √x=2 ⇒ x= 4
Javier rounded to the nearest half to estimate the product of 3 and two-fifths and Negative 3 and StartFraction 7 over 8 EndFraction. How do the estimate and the actual product compare? The actual product is less than the estimate. The numbers differ by less than one. The actual product is greater than the estimate. The numbers differ by less than one. The actual product is less than the estimate. The numbers differ by more than one. The actual product is greater than the estimate. The numbers differ by more than one.
Answer:
- The actual product is less than the estimate
- The numbers differ by less than one
Step-by-step explanation:
Given
Product of 3 and two-fifths & [tex]-3\frac{7}{8}[/tex]
Required
Compare actual result with approximated result
Calculating the actual result;
3 and two-fifths means [tex]3\frac{2}{5}[/tex]
So, the Product of 3 and two-fifths & [tex]-3\frac{7}{8}[/tex] becomes
[tex]Product = 3\frac{2}{5} * -3\frac{7}{8}[/tex]
Convert fractions to improper
[tex]Product = \frac{17}{5} * -\frac{31}{8}[/tex]
Combine fractions to form one
[tex]Product = \frac{-17 * 31}{5 * 8}[/tex]
Multiply numerators and denominator
[tex]Product = \frac{-527}{40}[/tex]
Convert fraction to decimal
[tex]Product = -13.175[/tex]
The nearest half of -13.175 is -13
Hence;
[tex]Estimate = -13[/tex]
By comparison:-
- The actual product (-13.175) is less than the estimate (-13)
- The difference between both results is less than 1;
The difference is calculated as follows
Difference = |Actual Product - Estimate|
Difference = |-13.175 - (-13)|
Difference = |-13.175 +13|
Difference = |-0.175|
Difference = 0.175
Answer:
B
Step-by-step explanation:
The actual product is greater than the estimate. The numbers differ by less than one. took the test 2021
5. A man sells his house for
$295,000 at a
profit of 18% . What is the cast price of the house?
Answer:
$250000Solution
Selling price(SP)=$295000
profit percent=18%
Cost price(CP)=?
Now,
[tex]cp = \frac{sp \times 100}{100 + profit \: percent} \\ \: \: \: \: = \frac{295000 \times 100}{100 + 18} \\ = \frac{29500000}{118} \\ = 250000[/tex]
hope this helps...
Good luck on your assignment...
Solve the system of equations. 6x-5y=-32, -7x+8y=46
Answer:
x = -2
y = 4
Step-by-step explanation:
6x-5y=-32
-7x+8y=46
Solve for x in the first equation.
6x = -32 + 5y
x = (-32 + 5y) /6
x = 5/6y - 16/3
Put x as 5/6y - 16/3 in the second equation and solve for y.
-7(5/6y - 16/3) +8y = 46
-35/6y+112/3 +8y = 46
13/6y + 112/3 = 46
13/6y = 46 - 112/3
13/6y = 26/3
y = 26/3 × 6/13
y = 4
Put y as 4 in the first equation and solve for x.
6x-5(4)=-32
6x-20 = -32
6x = -32+20
6x = -12
x = -12/6
x = -2
I NEED EVERY BODIES HELP ASAP!!!!!!!!!! the question is 15.6/-3
Answer:
-5.2
Step-by-step explanation:
15.6/-3= - 15.6/3= -5.2
Jorden is cutting a 2 m by 1 1/4 m piece of rectangular paper into two pieces along its diagonal
Answer:
2.36 =C or your diagonal side
Step-by-step explanation:
You have rectangle that is
2 by 1.25
2² + 1.25² =C²
4 + 1.5625=C²
5.5625 = C²
2.36 =C
In how many ways can the letters in a word spoon be arranged?
A boy was watching the show standing on the ground. A jet fighter when 1000m high passes vertically above an other jet fighter at an instant, when the angle of elevation of the two jets from the boy are 60 degrees and 45 degree respectively. At what distance (vertical) the pilots were flying the jets at that instant
Answer:
The pilot above at 1000m above ground and pilot below 742.23 metres above ground
Step-by-step explanation:
Imagine everything as triangles. Mark where the boy stands and the 2 jets are in the air
Are the mean, median and mode of a list of numbers equal or no? Please explain!
Answer:
nope!
Step-by-step explanation:
mean= average, total of numbers/ amount of numbers
median- if all the numbers were in a line what would be in the middle
mode-most reoccuring number- remember it cos it rhymes with most :)
hope this helps :)
can u pls give brainliest? :)
Answer:
No
Step-by-step explanation:
when you have a list of numbers:
The mean is all of the numbers added up and then divided by the number of numbers.
The median is "the middle number" So line them up in numerical order and find the middle number.
The Mode is the biggest number subtracted from the smallest number.
I will mark you brainliest!!!! Which ordered pair is the best approximation of the solution?
Answer:
D
Step-by-step explanation:
We can substitute y = 2x + 1 in the second equation
2x + 1 = -7x + 8
Add 7x to both sides
9x + 1 = 8
Subtact 1 from both sides
9x = 7
x = 7/9
Substituing x in the first equation
y = 14/9 + 1
x rounds to 0.8
y rounds to 2.5
Isaac applied the steps below to find the product of (4.2)(-5.4).
.
Step 1: (4.2)(-5.4) = (-5.4)(4.2)
Step 2:
= (-5.4)(4) + (-5.4)(0.2)
Step 3:
= (-21.6) + (-1.08)
Step 4:
=-22.68
Which step shows where Isaac applied the distributive property?
Step 1
0 0
Step 2
Step 3
Step 4
The answer is step 2. hope it helps.
Answer:
step 2
Step-by-step explanation:
Let p, q be the solutions of the quadratic equation x^2 − 2mx − 5n = 0 and let m, n be the solutions of x^2 − 2px − 5q = 0. If p,q,m and n are real and non-equal, then the value of p + q + m + n is ....
(A) 15
(B) 30
(C) 75
(D) 150
(E) 225
Answer:
The correct option is;
(B) 30
Step-by-step explanation:
The equations are;
x² - 2·m·x - 5·n = 0.............(1)
Solution = p, q
x² - 2·p·x - 5·q = 0..............(2)
Solution = m, n
For equation (1), we have;
x² - 2·m·x - 5·n = 0 = (x - p)·(x - q)
x² - 2·m·x - 5·n = x² -x·p - x·q + q·p = x² -x·(p + q) + q·p
2·m = p + q..............(3)
5·n = -q·p..............(4)
Given the similarity between equation (1) and (2), we have;
2·p = m + n..............(5)
5·q = -m·n..............(6)
Therefore;
m = (p + q)/2
n = -q·p/5
Substituting the value of m and n in equation (5) and (6), we have;
2·p = (p + q)/2 - q·p/5.............(7)
5·q = (p + q)/2·q·p/5.............(8)
Making q the subject of equation (7) gives;
[tex]q = \dfrac{-7.5 \cdot p}{p -2.5}[/tex]
Substituting the value of q above in equation (8) gives;
[tex]-\dfrac{75\cdot p}{2\cdot p-5}=-\dfrac{3\cdot p^{4}-30\cdot p^{3}}{4\cdot p^{2}-20\cdot p+25}[/tex]
By cross multiplying and collecting like terms we have;
6·p⁵ -75·p⁴-150·p³+1500·p²-1875·p = 0
Which gives
(p+0)(p-1.91)(p-2.5)(p+5)(p-13.1)
p = 1.91 or 2.5 or -5 or 13.1
q = 24.27 or undef or -5 or -9.27
m = 13.09 or undef or -5 or 1.95
n = -9.27 or undef or -5 or -24.29
Therefore, p + q + m + n = 1.91 + 24.27 + 13.09 + (-9.27) = 30
The correct option is (B) 30
Mrs. Hudson has made another assignment that Karen and Dakota are excited to try. To conduct your own experiment, you will need dice and a place to record your results. In this assignment, you will first calculate the theoretical probability for rolling a sum of 7. Then, you will roll the dice and add the numbers shown, recording your results as you go. Calculate the experimental probability for rolling a 7 after the 1st, 10th, and 100th rolls. Compare these results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? 1. List out the sample space for the experiment and then calculate the theoretical probability. _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________
I belive,
The experimental probability could be more, the same or less than the theoretical probability of rolling a 1 (which is 1/6).
The larger your sample (i. e., as you go beyond 60 tosses), the closer the two different probabilities are likely to be. (Think: Law of Large Numbers).
Answer:
Step-by-step explanation:
Jsiehsjsndj im here to get you a brainliest