Answer: let x = the "number"
2x + 3x is the expression
Step-by-step explanation:
After Don ate 1/8 of the pie and Ron ate 1/7 of the remainder of the pie, the other five friends divided the rest of the pie equally among themselves what percent of the original pie did each friend eat?
x = the whole pie.
well, Don ate (1/8)x, how much was it left? [tex]x -\cfrac{1}{8}x\implies \cfrac{x}{1} -\cfrac{x}{8}\implies \cfrac{8x-x}{8}\implies \cfrac{7x}{8}[/tex]
well, so that's the remainder.
Then Ron ate 1/7 of the remainder [tex]\cfrac{7x}{8}\div 7\implies \cfrac{7x}{8}\div \cfrac{7}{1}\implies \cfrac{7x}{8}\cdot \cfrac{1}{7}\implies \cfrac{x}{8}[/tex]
well, how much is it left? [tex]\stackrel{\textit{Don leftover}}{\cfrac{7x}{8}}-\stackrel{\textit{Ron's bite}}{\cfrac{x}{8}}\implies \cfrac{6x}{8}\implies \cfrac{3x}{4}[/tex]
well, there are 5 friends how much did each one get from the whole pie?
[tex]\cfrac{3x}{4}\div 5\implies \cfrac{3x}{4}\div \cfrac{5}{1}\implies \cfrac{3x}{4}\cdot \cfrac{1}{5}\implies \implies \cfrac{3x}{20}\implies \stackrel{\textit{each friend}}{\boxed{\cfrac{3}{20}x}}[/tex]
Answer to what is CA
well, let's recall that A, B and C are medians of their segment, meaning each of those lines made by them are midsegments, Check the picture below.
[tex]CA = \cfrac{SR}{2}\implies 2CA=SR\implies 2(3x-1)=5x+4 \implies 6x-2=5x+4 \\\\\\ x-2=4\implies x =6~\hfill \stackrel{~\hfill CA}{3(6)-1\implies 17}[/tex]
plz help on a timed test will pay 10 points and make brainlest
What other countries have set up early earthquake warning systems? Which of these countries are in the Ring of Fire? Why is it important for these Ring of Fire countries to have warning systems?
Answer:
Mexico, Japan, South Korea, Taiwan, and the United States, Chile, Japan, the US west coast; Chile, Japan, the US west coast; So all that is left for the people who live around the Ring of Fire is to be aware of the danger, perhaps to live further inland, build safer, earthquake-resistant housing, and for nations everywhere to improve oceanic and land-based early-warning systems to help minimize the risk to life
Step-by-step explanation:
The box-and-whisker plot below represents the ages of 12 people.
What percent of these people are age 15 or older?
5
+ + + + + +
10 15 20 25 30 35 40 45 50 55
25
B 35
© 75
0 85
The box and whiskers plot visually presents the ages of the 12
The percentage of the 12 people older than 15 is 75%Reasons:
The five number summary from the box and whiskers plot is presented as follows;
Minimum value = 7.5
Maximum value = 50
Lower quartile, Q₁ = 15
Upper quartile, Q₃ = 40
Median, Q₂ = 32.5
The first quartile is equivalent to the 25th percentile
Therefore, given that the age 15 is equivalent to the first quartile = 25th percentile, the percentage of the 12 people that are older than 15 are;
Percent older than 15 = 100% - 25% = 75%
The correct option is 75%
Learn more about box and whiskers plot here:
https://brainly.com/question/4449394
Help me please ………..
Answer:
Step-by-step explanation:
Answer:
<QSR = 55°(180°-125°)
Step-by-step explanation:
therefore, p-8=55°
p=(55+8)° = 63°.
hope this helps you.
What is the discriminant of the polynomial below?
4x2 - 20x+ 25
O A. -360
O B. o
O C. 300
O D. -20
Answer:
B. 0
Step-by-step explanation:
ax² + bx + 1 = 0
discriminant = b² - 4ac
4x² - 20x + 25
a = 4
b = -20
c = 25
b² - 4ac = (-20)² - 4(4)(25) = 400 - 400 = 0
Answer: B. 0
Question 5 of 10
Which of the following rational functions is graphed below?
10 H
10
10
O A. F(x) =
FIX) *-*
X5
X1
B. Fx) = 6-14-5
(x - 1)(x-5)
c. F(X) = 1
D. F(X) = x+5
-
x + 1
We want to find the equation for the graphed rational function. Notice that the options are not given, so I will try to find the function only from the graph.
The function is:
[tex]f(x) = \frac{(x - 5)}{x - 1}[/tex]
How to analyze the graph of a rational function?The first thing that we can see in the graph is that we have vertical asymptotes at x = 1.
The one in the positive side (of the x range) goes to negative infinity, while the other goes to positive infinity, then the equation will be something like:
[tex]f(x) = \frac{something}{x - 1}[/tex]
Such that the asymptotes are caused when the denominator is equal to zero.
We can see that we also have a horizontal asymptote at y = 1.
This means that, as x tends to infinity, our function will tend to 1, so we have something like:
[tex]f(x) = \frac{(x + b)}{x - 1}[/tex]
The horizontal asymptote is equal to the ratio of the leading coefficients when both polynomials have the same degree, like here, so we can take the two leading coefficients equal to 1, such that:
y = 1/1 = 1
To find the value of b, we evaluate the function in 0:
[tex]f(0) = \frac{b}{-1} = -b[/tex]
And if you look at the graph, you can see that at x = 0 we have:
f(0) = 5
then b = -5
So the function is:
[tex]f(x) = \frac{(x - 5)}{x - 1}[/tex]
If you want to learn more about rational functions, you can read:
https://brainly.com/question/1851758
what is the value of the digit 4 in 0.342
Answer:
0.04 = four hundredths
Step-by-step explanation:
To find the value of a digit in a number, set all the other digits to zero.
The value of the 4 is ...
0.040
The 4 is in the hundredths place, so its value is four hundredths.
Central/Inscribed angles pls help with work <3
Answer:
Step-by-step explanation:
Arc angle KLM will be twice ∠KSM = 210°
Arc angle ML will be 210 - 130 = 80°
Arc angle LMS will be twice ∠LKS = 160°
Arc angle SM will be Arc angle LMS - ML = 160 - 80 = 80°
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
$
9514 1404 393
Answer:
$9.86
Step-by-step explanation:
The numbers in your problem statement are somewhat garbled. We understand the problem to be ...
Given:
earnings: $11.60 per hour
1/10 of earnings donated
8 1/2 hours worked
Find:
the amount donated
Solution:
The amount donated will be the product of the given numbers:
($11.60 /hour)×(8.5 hours)×(1/10) = $9.86
Kendra donated $9.86 to the charity last week.
if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
(NO links)
Answer:
10
Step-by-step explanation:
Help me answer these math problems. They are due by 10:00 PM Tonight. Please answer them carefully.
1. What is the formula for simple interest?
2. If Michael invests $2300 in the bank at a rate of 5.5% for a 6 year term, what will the interest be at the end of the term? (round to nearest cent)
3. Kelsey takes out a loan for $6000 to start a business after high school. The bank charges her 8% simple interest for the loan. Term is five years. After 5 years , what will the balance be for the repayment of this loan? (round to nearest cent)
4. Jessie invests $3345 in the stock market. Over the 3 years she has this invested, she gets an average return of 7.8% simple interest. How much interest will she had made over the 3 year period? (round to nearest cent)
5. How much of a difference is there, in interest, between an investment of $899 with simple interest of 5% and an investment of $499 with a simple interest of 9%, both for a six year term? (round to nearest cent)
6. What balance will you have in your account, in 8 years, if you invest $4000 at 3.5% compounded quarterly? (round to nearest cent)
7. Gina deposited $1500 in an account that pays 11% interest compounded monthly.
What will the balance be in 5 years? (round to nearest cent)
8. You invested $4,400 for 2 years at 7.3% compounded semianually. What is your total balance after 12 years? (round to nearest cent)
9. You want to buy a new motorcycle so you borrow $14,200 for 5 years at an interest rate of 13% and it’s compounded daily. How much interest will you have paid after the 5 year term has ended? (round to nearest cent)
(PLEASE ANSWER THESE QUESTIONS TONIGHT BY 8:00 PM)
Answer:
. Kelsey takes out a loan for $6000 to start a business after high school. The bank charges her 8% simple interest for the loan. Term is five years. After 5 years , what will the balance be for the repayment of this loan? (round to nearest cent)
Step-by-step explanation:
An estimate for - 72
-8.1
-8.5
-9.1
-9.5
[tex]solution[/tex]
[tex] \sqrt{72} [/tex]
Factor the expression
[tex] \sqrt{6 }^{2} \times 2[/tex]
Use the properties of radicals
[tex] \sqrt{6 {}^{2} } \sqrt{2} [/tex]
simplify the root
[tex]answer[/tex]
[tex]6 \sqrt{2} [/tex]
Answer:
the answer is -8.5
you should use m.a.t.h.w.a.y it is very helpful with math and brainly would not let me say the name the correct way so I had to put periods but anyways have a good day or night
︎
Two sides of a triangle measure 10 feet and 14 feet. Which
inequality shows the possible lengths for the third side, x?
Answers options:
10 ≤ x ≤ 14
4 ≤ x ≤ 24
10 < x < 14
4 < x < 24
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The third side of the Triangle should be greater than the difference of other two sides, so
[tex]x > 14 - 10[/tex][tex]x > 4[/tex]And, The third side should be less than the sum of other two sides that is ~
[tex]x < 14 + 10[/tex][tex]x < 24[/tex]Considering these two inequalities, we get ~
[tex]4 < x < 24[/tex]What is 162 multiplied by 0.967
The answer would be 156.654
Answer:
Remove the decimals and multiply normally.
162 x 967
156654
Put back in the decimals. In this case, move the decimal point back three spaces from the end.
156.654
:)
Please help me, thanks
Answer:
I dont know
Step-by-step explanation:
Can you type in the question please and ty
can i have some help pls
Answer:
the first recipe
Step-by-step explanation:
We can answer by finding the ratio of nuts to cereal. The one that has the higher ratio of nuts to cereal is the nuttier one.
Recipe 1: 2 1/2 cups of nut per 5 cups of cereal.
nuts to cereal ratio = 2 1/2 : 5 = 1 : 2
Recipe 2: 1 cups of nuts per 3 cups of cereal.
nuts to cereal ratio = 1 : 3
1 : 2 is a higher ratio than 1 : 3
Answer: the first recipe
. An insurance company predicts that about an 80% chance that a person aged 20 will be alive at age 65 in a certain population. Suppose that 64 people aged 20 are selected at random. What is the probability that at least 48 of them will still be alive at age 65
Step-by-step explanation:
the probabilty for exactly 48 people surviving is
(64 over 48) × 0.8⁴⁸ × 0.2¹⁶
the possible combinations of 48 people out of 64 associated with the probability of 48 survivors and 16 deaths.
"at least" is then sum of the probabilities of exactly 48, 49, 50, 51, ... 64 people surviving.
that is a longer calculation of these 17 possibilities.
they go
(64 over 48) × 0.8⁴⁸ × 0.2¹⁶ = 0.0714...
(64 over 49) × 0.8⁴⁹ × 0.2¹⁵ = 0.0933...
(64 over 50) × 0.8⁵⁰ × 0.2¹⁴ = 0.1119...
...
(64 over 63) × 0.8⁶³ × 0.2¹ = 0.00001004...
(64 over 64) × 0.8⁶⁴ × 0.2⁰ = 0.0000006277...
the sum is the probabilty (that at least 48 out of the 64 are alive at 64) of 0.8746...
the maximum single probability (for an exact number of survivors) is as expected at exactly 51 and exactly 52 survivors with a probability of 0.1229... for each case.
of course, this is around the expectation value of
64×0.8 = 51.2 (out of the 64 it is expected that per average 51.2 people survive and reach age 64).
-2x + 8 > 22
im a little stuck help
Answer:
Step-by-step explanation: am sorry but I don’t know nothing
Jen has 93 beads ana has 46 red beads and 29 blue beads.How many more beads does Ana need to have 93 beads Also?
Answer: 18
Step-by-step explanation: 93 - (46 + 29) = 18
Solve T in the following formula P=nRT/V
Answer:
T = PV/nR
..............................................
In the 01 July 2016, Samsung Ltd acquired the machine A by $1,502,000. Estimated useful life is 10 years, estimated residual value is $2,000. Company uses straight-line method for depreciation. From 2019, Samsung Ltd measure the machine A by the revaluation model. At 30 June 2019, machine A was revalued to $ 1,400,000. After one year, at 30 June 2020, machine A was revalued to $1,000,000. At 30 June 2021, machine A was revalued to $1,500,000. Required: Prepare the journal entries from 01 July 2016 to 30 June 2021. (using both method for revaluation)
a) Samsung Ltd will record these Journal Entries from July 2016 to June 30, 2021, using the straight-line and revaluation methods of depreciation:
July 1, 2016 Debit Equipment $1,502,000
Credit Cash $1,502,000
To record the purchase of the machine A.June 30, 2017 Debit Depreciation Expense $150,000
Credit Accumulated Depreciation $150,000
To record the depreciation expense for the first year.June 30, 2018 Debit Depreciation Expense $150,000
Credit Accumulated Depreciation $150,000
To record the depreciation expense for the second year.June 30, 2019 Debit Accumulated Depreciation $300,000
Credit Revaluation Reserve $300,000
To close the accumulated depreciation to Revaluation Reserve.June 30, 2019 Debit Revaluation Reserve $198,000
Credit Revaluation Surplus $198,000
To record the Revaluation Surplus.June 30, 2020 Debit Revaluation Expense $400,000
Credit Revaluation Reserve $400,000
To record the revaluation loss.June 30, 2021 Debit Revaluation Reserve $500,000
Credit Revaluation Surplus $500,000
To record the revaluation surplus.Data and Calculations:
Cost of machine on July 1, 2016 = $1,502,000
Estimated Residual Value = $2,000
Depreciable amount = $1,500,000
Estimated useful life = 10 years
Based on the straight-line method the depreciation expense for each year = $150,000 ($1,500,000/10).
Value of Machine at:
June 30, 2019 - $1,400,000
June 30, 2020 = $1,000,000
June 30, 2021 = $1,500,000
Learn more: https://brainly.com/question/19908089
Please help me, thanks
Answer:
D how many months until the total spent is the same for both gyms
Step-by-step explanation:
30m+50 = 10m+100
By setting the cost of gym A equal to gym B we are finding how many months it is when the cost is the same
Answer:
How many months until the total spent is same for both the gyms
Step-by-step explanation:
Then
GYmA=GYm B30m+50=10m+100We may solve it
20m=50m=5/2m=2.5monthsoption D
find the measure of ∠A.
Answer:
68 degrees
Step-by-step explanation:
Supplementary angles have sum 180°
5x+27+5x-7=18010x+27-7=18010x+20=18010x=160x=16<A=
5(16)+2780+27107°One number is six less than a second number. Twice the first is 12 more than 6 times the second. Find the numbers.
The value of the first number is
The value of the second number is
Answer:
Step-by-step explanation:
Let x be the first number
Let y be the second number
x = y - 6
2x = 12 + 6y
2(y - 6) = 12 + 6y
2y - 12 = 12 + 6y
-4y = 24
y = -6
x = -6 - 6 = -12
NO LINKS!!!!
Consider the following sequence 4, 8, . . .
a. Assuming the sequence is arithmetic:
i. Write the next four terms
ii. What is the generator?
iii. Write a formula for t(n).
iv. Create a table and graph your sequence.
b. Assuming the sequence is geometric:
i. Write the next four terms
ii. What is the generator?
iii. Write a formula for t(n).
iv. Create a table and graph your sequence
9514 1404 393
Answer:
a. 12, 16, 20, 24; t(n)=4n
b. 16, 32, 64, 128; t(n)=2·2^n
Step-by-step explanation:
a. The difference of the given terms is 8-4=4, so the arithmetic sequence has a first term of 4 and a common difference of 4. The general term has the formula ...
t(n) = t(1) +d(n -1)
t(n) = 4 +4(n -1) . . . . . with t(1) and d filled in
t(n) = 4n . . . . . . . . . . simplified
This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...
t(3) = 12; t(4) =16; t(5) = 20, t(6) = 24
A table and graph are shown in the first attachment.
__
b. The ratio of the given terms is 8/4 = 2, so the geometric sequence has a first term of 4 and a common ratio of 2. The general term has the formula ...
t(n) = t(1)·r^(n-1)
t(n) = 4·2^(n-1) . . . . . . . with t(1) and r filled in
t(n) = 2·2^n . . . . . . . . simplified
This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...
t(3) = 16; t(4) = 32; t(5) = 64; t(6) = 128
A table and graph are shown in the second attachment.
Express the number in scientific notation. 7/100
Answer: 7
×
10
−
2
Step-by-step explanation:
Helpppppppppppppppppppppppp
[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]
What does x= in the equation, 7(x-5=x+13
Answer:
X equals 8.
Step-by-step explanation:
Firstly, you remove the parentheses
Secondly, you move the terms
Then you collect like terms and add the numbers
Lastly, you divide both sides which gives you 6 x = 48,
so your answer is 8.
Hope this helped.
Answer:
x = 8
Step-by-step explanation:
Calculating purely on the assumption the question is equal to 7(x - 5) = x + 13
7(x - 5) = x + 13
7x - 35 = x + 13 ⇒ expand brackets
7x - 35 + 35 = x + 13 + 35 ⇒ add 35 to both sides
7x = x + 48
7x - x = x + 48 - x ⇒ subtract x from both sides
6x = 48
[tex]\frac{6x}{6} = \frac{48}{6}[/tex] ⇒ divide both sides by 6
x = 8
Hope this helps!
Alexis baked 87 dozen brownies. How many brownies does she have
Answer:
1,044
Step-by-step explanation:
Answer:
Step-by-step explanation:
1044