Answer:
100
Step-by-step explanation:
If x+y−z=8 and x−y+z=12, then x=
Answer:
x = 10
Step-by-step explanation:
We see and show that x = 10
This makes y = 5 and z = 7 as 5-7 (y-z) = -2
As y5-z7 = -2 then we add 10 = 8
x+y-z = 10x-2yz = 8
x-y+z = 10 -5 +7 = 12 we know x = 10
We cna now prove.
x+y-z =8
x+5y-7z = 8
x +-2yz = 8
x = 8+2yz
x= 10
And prove
(x-5y)+7z= 12
x-y =12-7z
x = 5+5y
x=10
as x-5 (=5+7z) = 12
Have got the right answer here. Hope it helps.
Help me please il give 20 points!
Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5
2. Stem: Leaf:
1 9
2 5, 9
3 3, 3, 8
4 0, 7, 9
5 4, 5
6 1, 5
7 2, 7
8 1
3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.
Step-by-step explanation:
What is 367=2389+3717+21831737 also, 29s=29a=938129= ?
Answer:
1. 21837843
2. 28s792215
Step-by-step explanation:
hope this help
!!!!20 POINTS!!!!!
PLEASE ANSWER THIS!!! I HAVE AN ALGEBRA TEST TOMORROW!!!
What is the solution to the systems of equations shown below?
Answer:ooooooooo 20 POINTS
Step-by-step explanation: SAY LESS 360
QUICKKKKKK WILL GIVE BRAINLIEST!!
What is the volume of a rectangular prism with a length of 14 yards, a width of 6 yards, and a height of 8 yards?
196 cubic yards
336 cubic yards
392 cubic yards
672 cubic yards
Answer:
672 Cubic Yd.
Step-by-step explanation:
14*8*6=672
Answer:672 cubic yards
Step-by-step explanation:
ASAP! WHOEVER ANSWERS RIGHT GETS BRAINLIESTS OR WHATEVER ITS CALLED A college cafeteria is looking for a new dessert to offer its 5,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the scoops of ice cream the college will need?
The college will have about 1,800 students who prefer ice cream.
The college will have about 800 students who prefer ice cream.
The college will have about 600 students who prefer ice cream.
The college will have about 144 students who prefer ice cream.
Answer: the college will have about 600 students who prefer ice cream
Step-by-step explanation: add them up multiple by225 and then divide
Answer:
Step-by-step explanation:
Given, A college cafeteria is looking for a new dessert to offer its to 5,000 and the sample is 225,
it is, (5000/225)=22.22 time the sample.
from the table 27 students prefer cookies.
the college is required to make (22.22x27)=600
The college will have about 600 students who prefer ice cream.
How far did I travel to reach my destination on each day of my three-day Trip?
a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination.
b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination.
c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.
The total distances you traveled to reach your destination on each day of your three-day trip are as follows:
a) Day 1 = 40 miles
b) Day 2 = 30 miles
c) Day 3 = 11 miles.
How the total distances are determined:The total distances are determined using proportions.
Proportion refers to the fractional value of the whole number or quantity.
a) Day 1:
The fractional distance traveled = ⁵/₈
The remaining distance to travel = 15 miles
15 miles = ³/₈ (1 - ⁵/₈)
Proportionately, the total distance = 40 miles (15 ÷ ³/₈)
b) Day 2:
The distance traveled = 18 miles
The remaining distance to travel = ²/₅
The distance traveled = ³/₅ (1 - ²/₅)
³/₅ = 18 miles
Proportionately, the total distance = 30 miles (18 ÷ ³/₅)
c) Day 3:
The distance traveled = ⁵/₁₁
The distance to travel = 6 miles
The distance to travel in fractions = ⁶/₁₁ (1 - ⁵/₁₁)
Proportionately, if 6 miles = ⁶/₁₁, the total distance = 11 miles (6 ÷ ⁶/₁₁)
Learn more about proportions at https://brainly.com/question/1496357.
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math homework
! Boo
Answer:
x is 8
Step-by-step explanation:
\({ \tt{(8x - 4) = 60}} \\ { \underline{ \sf{ \: alternate \: angles \: }}} \\ { \tt{8x = 60 + 4}} \\ { \tt{8x = 64}} \\ { \tt{ \blue{ \: x = 8}}}\)
Answer:
x=8
Step-by-step explanation:
60=8x-4 bc of the alternate interior angles theorem
+4. +4
64=8x
/8. /8
8=x
A study found that 9% of dog owners brush their dog’s teeth. Of 578 dog owners, about how many would be expected to brush their dog’s teeth? Explain.
A.
50; 9% ≈ 10% and 578 should be rounded down to 500; 10% of 500 = 50
B.
60; 9% ≈ 10% and 578 ≈ 600; 10% of 600 = 60
C.
70; 9% ≈ 10% and 578 ≈ 700; 10% of 700 = 70
is it A. B. or C.
Answer: A
Step-by-step explanation: 578*0.09=52.02~ is 50
If 2580 people watched one show and 2920 people watched another show. How many people need to watch the third show for there to be a 3000 people average attendance per show?
Answer:
340
Step-by-step explanation:
2920 - 2580 = 340
There need to be 340 people to watch the third show.
The price of Stock A at 9 A.M. was $15.75. Since then, the price has been increasing at the rate of $0.05 per hour. At noon, the price of Stock B was $16.53. It begins to decrease at a rate of $0.13 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?
Answer:
the price of Stock A and Stock B will be the same after 3.5 hours.
Step-by-step explanation:
15.75 + (0.05 × 3) = 15.90
15.90 + 0.05t= 16.53 - 0.13t
0.05t + 0.13t = 16.53 - 15.90
0.18t = 0.63
t = (0.63 ÷ 0.18)
t = 3.5
a big bag contains 500 beads, each of the same size, but in 5 different colors. Suppose there are 100 beads of each color and I am blindfolded. What is the fewest number of beads I must pick to be absolutely sure there are 5 beads of the same color among the beads I have picked blindfolded?
I WILL REPORT ANY FAKE OR USELESS ANSWERS
Answer:
I believe the answer is (4 * 5 +1) = 21
Step-by-step explanation:
The fewest number of beads you must pick to be absolutely sure there are 5 beads of the same color is 20 + 5 = 25 beads.
How to determine the fewest number of beads I must pick to be absolutely sure there are 5 beads of the same colorTo guarantee that you have picked 5 beads of the same color, you need to ensure that you have at least 4 beads from each of the 5 colors.
To calculate the fewest number of beads you must pick, we can consider the worst-case scenario where you have picked the maximum number of beads from each color without having 5 of the same color.
In this scenario, you would have 4 beads from each color, which totals 4 * 5 = 20 beads.
However, to guarantee that you have 5 beads of the same color, you need to pick one more bead from each color, which is an additional 5 beads.
Therefore, the fewest number of beads you must pick to be absolutely sure there are 5 beads of the same color is 20 + 5 = 25 beads.
Learn more about probability at https://brainly.com/question/13604758
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Consider the infinite geometric series infinity sigma n=1 -4(2/3)^n-1. In this, the lower limit of the summation notion is "n=1". PLEASE show your work I dont understand
1)write the first four terms of the series 2) does the series diverge or coverge 3) if the series has a sum find the sum
Answer:
To find the first four terms of the series, we can substitute the values of n from 1 to 4 in the given formula and simplify:
n=1: -4(2/3)^0 = -4(1) = -4
n=2: -4(2/3)^1 = -4(2/3) = -8/3
n=3: -4(2/3)^2 = -4(4/9) = -16/9
n=4: -4(2/3)^3 = -4(8/27) = -32/27
So the first four terms of the series are -4, -8/3, -16/9, -32/27.
To determine if the series converges or diverges, we need to find the common ratio r, which is the ratio of any term to its preceding term:
r = (-4(2/3)^n) / (-4(2/3)^(n-1)) = 2/3
Since the absolute value of the common ratio is less than 1, the series converges.
To find the sum of the series, we can use the formula for the sum of an infinite geometric series:
S = a / (1 - r)
where a is the first term and r is the common ratio. Substituting the values we found:
S = -4 / (1 - 2/3) = -4 / (1/3) = -12
So the sum of the infinite geometric series is -12.
Answer:
a) The first four terms of the series are:
-4, -8/3, -16/9, -32/27
b) The series converges.
c) The sum of the infinite geometric series is -12.
Step-by-step explanation:
Given infinite geometric series:
\(\displaystyle \sum^{\infty}_{n=1} -4 \left(\dfrac{2}{3}\right)^{n-1}\)
Therefore, the formula for the nth term of the sequence is:
\(a_n=-4 \left(\dfrac{2}{3}\right)^{n-1}\)
where:
-4 is the first term, a.2/3 is the common ratio, r.Calculate the first four terms of the series by substituting the n-values 1 through 4 into the nth term formula.
\(a_1 = -4 \left(\dfrac{2}{3}\right)^{1-1} = -4 \left(\dfrac{2}{3}\right)^{0}=-4\)
\(a_2 = -4 \left(\dfrac{2}{3}\right)^{2-1}= -4 \left(\dfrac{2}{3}\right)^{1}=-\dfrac{8}{3}\)
\(a_3 = -4 \left(\dfrac{2}{3}\right)^{3-1}= -4 \left(\dfrac{2}{3}\right)^{2}=-4 \left(\dfrac{4}{9}\right)=-\dfrac{16}{9}\)
\(a_4 = -4 \left(\dfrac{2}{3}\right)^{4-1}= -4 \left(\dfrac{2}{3}\right)^{3}= -4 \left(\dfrac{8}{27}\right)=-\dfrac{32}{27}\)
A geometric series converges if the absolute value of its common ratio is less than 1. As r = 2/3 and |2/3| < 1, the series converges.
Use the infinite geometric series sum formula to find sum of the infinite series.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$,\;\;for\;$|r| < 1$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)
Substitute a = -4 and r = 2/3 into the formula to find the sum of the infinite series:
\(\begin{aligned}\implies S_{\infty}&=\dfrac{-4}{1-\frac{2}{3}}\\\\ &=\dfrac{-4}{\frac{1}{3}}\\\\&=-4 \cdot \dfrac{3}{1}\\\\&=-\dfrac{12}{1}\\\\&=-12\end{aligned}\)
Therefore, the sum of the given infinite geometric series is -12.
I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.
Answer:
1/3
Step-by-step explanation:
just convert it?
3/10
Step-by-step explanation:
60% is the same as 60/100
90% is the same as 90/100
90-60=30
30/100
30/100 is divided by 10 on each side to simplify it to 3/10
how can i not fall asleep with only sleeping 2 hours of sleep last?
Answer: try an energy drink such as Red Bull or coffee. You should take a nap though when u can :)
Which story problem could be solved using the given equation?
please help me i will give brainliest to first person to anwser.
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
The churches shown are concentric. Find the value of x.
Answer:
y
Step-by-step explanation:
3v+2v=25
simplify as much as possible
solve for v
hey uh please explain / answer these for me <3 i know some of them but I'm just lazy-minded if u know what I mean
Answer:
First Picture: 2032*93 = 188976, 425/25 = 17
Second Picture: the machine is dividing the number by 6
Third picture: 85
Step-by-step explanation:
Second Picture: 36/6 = 6 and 54/9 = 6 therefore the machine is dividing by six
Third Picture: a multiple of 7 is 84 (7*12 = 84). 85 is one more than a multiple of 7. Therefore 85 is the answer. A formula can be 7x + 1 = (then try out different numbers in the grid)
7x+1 = 85
7x = 84
x = 84/7
x = 12
Therefore 85 is one more than a multiple of 7.
Answer:
1, 2,032 x 93
2, 425 divided by 25
Step-by-step explanation:
188,97617HELP ASAP!!!!!!! I NEED THIS SOON!!!
Answer:
y - 1 = 0 45 degreees 1 90 degrees x times 3y
Step-by-step explanation:
Trust
Please help me! im on an assignment an cant figure it out
Step-by-step explanation:
The difference beteen 9.2 ounces and 8.1 ounces is 1.1 ounces
and the difference in price is .49
so 1.1 ounces cost .49
$ .49 / 1.1 oz = $ .445 per ounce
Then Reid's bowl should cost 7.8 oz * $ .445 / oz = $3.47
Please help me...
I don't understand this...
IF YOU DON'T KNOW , DO NOT ANSWER!
-8 1/3 + 3 2/5
lol i need a refresh when you multiply the fraction to get it to be added with the other one do you multiply the whole number too?
Answer:
-81/3+32/5
-81×5+32×3/15
-243+96/15
-147/15
-49/5 Ans
To answer your question ("do you multiply the whole number too?"): Yes, you have to multiply the whole number as well. You can't just separate 1/3 from -8 and multiply it with 2/5, because the whole number is part of the mixed #. Whenever you multiply, add, divide, subtract, or do anything to two mixed numbers, you must include the whole term.
- - - - - - - - - -
Now your question is addition. Like I said, when you add them together, the whole number and the fractions count as one term.
So basically, -8 1/3 + 3 2/5...
- - - - - - - - - -
1) Find the LCM (least common multiple) of the denominators
The LCM of 3 and 5 is 15. To get from 3 to 15, you have to multiply 3 by 5. Now multiply the numbers of the fraction part only by 5.
1/3 --> 5/15 (as you can see, 1x5 = 5, 3x5 = 15)
Now for 2/5: To get from 5 to 15, multiply 5 by 3. Do the same thing to the numbers in the fraction
2/5 --> 6/15 (2x3 = 6, 5x3 = 15)
***TO CLARIFY, DO NOT MULTIPLY THE WHOLE TERM BY THE NUMBER***
Right: 2x3 = 6, 5x3 = 15, 6/15
Wrong: 2/5 x 5 = 2
- - - - - - - - - -
2) So now that we found a common denominator, change the two terms to -8 5/15 + 3 6/15 (because we had to find the LCM to make life a lot easier)
- - - - - - - - - -
3) We just add them together. Even though they are a term together, you can split them apart and add them together separately thanks to the commutative property of addition*.
Time to split it apart to make life a whole lot easier. -8 5/15 can be split apart into the two terms -8 and 5/15. For 3 6/15, it can be split into 3 and 5/15.
Two options from here on:
Set up a single equation: Put all the terms into one equation. -8 + 3 + 5/15 + 6/15. Solve by adding all the terms together in whichever order you prefer (again, thanks to the commutative property of addition)
It would result in the answer -4 4/15
Or...
Set up two separate equations: Set up an equation for whole numbers, and another one for fractions.
Equation 1: -8 + 3 = -5
Equation 2: 5/15 + 6/15 = 11/15
(6 + 5 = 11)
And we add the sums together. -5 + 11/15 = -4 4/15
And that's it!
- - - - - - - - - -
*Commutative Property of Addition: The sum of the numbers will NOT change even if you change the order of the addends
Was an hour late, but I hope this still helped you! If there are any questions, just comment below this
Find the slope and they y-intercept of the graph of y + 1 = 4/3x
Answer:y=mx+b
Step-by-step explanation:
NEEDS TO BE ANSWERED TODAY!!!!Order from least to greatest (turn them into decimals) a.) 104% b.)\(\sqrt{7}\)c.) -\(\frac{3}{5}\)d.)-1
Answer:
abcdefghijklmnopqrstuvwxyz
Answer:
104% ~1.04 b.)2.65 c.) -0.6 d.)-.01
Answer. -1, 3/-5, 104%, v7
The following box-and-whisker plot shows the distribution of ratings a new restaurant received from 100 food critics that reviewed it. Seventy-five percent of critics did not rate it higher than what number?
Answer:
8.5
Step-by-step explanation:
according to the image
10-4=6
6 x 75%=4.5
4+4.5= 8.5
please mark as brainliest!!Ricardo’s goal was to run 40 laps. At the end of the week, he ran 125% of his goal. How many laps is that?
Answer: He ran 50 laps.
Step-by-step explanation:
40 x 1.25 = 50
Answer:
50
Step-by-step explanation:
40/1 = 100/1
125% = 100/100 + 25/100
25% of 40 = 10
so you have the 40 laps which equal 100% and you also have 25 percent of the from the 125% and 25 percent of 40 is 10 so the answer is 40 plus 10 wich is 50
Hope this helps
Please answer the question below:
"Find the missing value so that the line passing through the 2 points has the given slope".
(12,-12) and (7,y); slope: -3
please give brainliest<3
Answer:
y=3
Step-by-step explanation:
(3 + 12) / (7 - 12) = (15) / (-5) = -3
The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 185μ=185mu, equals, 185 seconds and standard deviation \sigma = 11σ=11sigma, equals, 11 seconds. A journalist wrote an article about the restaurants whose average drive-through wait times were in the top 25\%25%25, percent for that town. What is the minimum average wait time for restaurants that the journalist included in the article?
Using the normal distribution, it is found that the minimum average wait time is of 192 seconds.
------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 185 seconds, thus \(\mu = 185\).Standard deviation of 11 seconds, thus \(\sigma = 11\).The top 25% is at least the 100 - 25 = 75th percentile, which is X when Z has a p-value of 0.75, so X when Z = 0.675.\(Z = \frac{X - \mu}{\sigma}\)
\(0.675 = \frac{X - 185}{11}\)
\(X - 185 = 11(0.675)\)
\(X = 192\)
The minimum wait time is of 192 seconds.
A similar problem is given at https://brainly.com/question/7001627