Answers
Answer:
x = 18
Step-by-step explanation:
ΔABC ≅ ΔDEC
∠ B ≅ ∠E
40 = 2x + 4
-2x = 4 - 40
-2x = -36
2x = 36
x = 36/2
x = 18
Related Questions
6x=2x+44 solve for x
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 11}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{6x = 2x + 44}[/tex]
Move 2x to left hand side and change it's sign
⇒[tex] \sf{6x - 2x = 44}[/tex]
Collect like terms
⇒[tex] \sf{4x = 44}[/tex]
Divide both sides of the equation by 4
⇒[tex] \sf{ \frac{4x}{4} = \frac{44}{4} }[/tex]
Calculate
⇒[tex] \sf{x = 11}[/tex]
Hope I helped!
Best regards!!
Consider the strategic games described below. In each case, state how you would classify the game according to the six dimensions outlined in the text.
(i) Are moves sequential or simultaneous?
(ii) Is the game zero sum or not?
(iii) Is the game repeated?
(iv) Is there imperfect information, and if so, is there incomplete (asymmetric) information?
(v) Are the rules fixed or not?
(vi) Are cooperative agreements possible or not? If you do not have enough information to classify a game in a particular dimension, explain why not.
a.) Garry and Ross are sales representatives for the same company, Their manager informs them that of the two of them, whoever sells more this year wins a Cadillac.
b.) On the game show The Price is Right, four contestants are asked to guess the price of a television set. Play starts with the leftmost player, and each player's guess must be different from the guess of the previous players. The person who comes closest to the real price, without going over it, wins the television set.
c.) Six thousand players each pasy $10,000 to enter the World Series of Poker. Each starts the tournament with $10,000 in chips, and they play No-Limit Texas Hold'Em ( a type of poker) until someone wins all the chips. The top 600 players each receive prize money according to the order of finish, with the winner receiving more than 8,000,000.
d.) Passengers on Dessert Airlines are not assigned seats: passengers choose seats once they board. The airline assign the order of boarding according to the time the passenger checks in, either on the Web site up to 24 hours before takeoff or in person at the airport.
Answers
Answer:
game show The Price is Right, four contestants are asked to guess the price of a television set. Play starts with the leftmost player, and each player's guess must be different from the guess of the previous players. The person who comes closest to the real price, without going over it, wins the television set.
c.) Six thousand players each pasy $10,000 to enter
Mr. Warren Buffett invested $20 000. Part of it he put in the bank at 5% interest. Part of it he invested in
bonds which pay a 7% return. How much money did he put in each vehicle, if his annual income from these
investments was $1200?
Answers
Answer:
Vehicle one he put $10000
Vehicle two he put $1000
Step-by-step explanation:
Interest= PRT/100
Interested= x
P1 +P2= $20000
X1+x2= $1200
R1= 5%
R2= 7%
(P1*5*1)/100= X1
5p1=100 X1.....
P1= 20X1...
(P2*7*1)/100= X2
7p2= 100X2
P2= 100/7 X2
P1 +P2= $20000
20X1 + 100/7 X2= 20000
7X1 +5x2= 7000...equation one
X1+x2= 1200 ....equation two
Multiplying equation two with 7
7X1 +7X2= 8400
7X1 +5x2= 7000
Solving simultaneously
2X2=1400
X2= 700
P2= 100/7 X2
P2= 100/7 (700)
P2= 10000
But X1+x2= $1200
X1= 1200-700
X1= 500
P1= 20X1
P1= 20(500)
P1= 10000
Vehicle one he put $10000
Vehicle two he put $1000
Trans wants to buy a bicycle that costs $192. He plans to save $6 each week . How many weeks will it take him to save enough money ?
Answers
Answer:
32 weeks
Step-by-step explanation:
Total amount = 192
Each week he saves = 6
Number of weeks = x
=> 6x = 192
=> 6x/6 = 192/6
=> x = 32
It will take 32 weeks for him to buy the bicycle.
Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.
Answers
Answer:
The numbers [tex]b[/tex] such that the average value of [tex]f(x) = 7 +10\cdot x - 9\cdot x^{2}[/tex] on the interval [0, b] is equal to 8 are [tex]b_{1} \approx 1.434[/tex] and [tex]b_{2} \approx 0.232[/tex].
Step-by-step explanation:
The mean value of function within a given interval is given by the following integral:
[tex]\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx[/tex]
If [tex]f(x) = 7 +10\cdot x - 9\cdot x^{2}[/tex], [tex]a = 0[/tex], [tex]b = b[/tex] and [tex]\bar f = 8[/tex], then:
[tex]\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8[/tex]
[tex]\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8[/tex]
[tex]\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8[/tex]
[tex]7 + 5\cdot b - 3\cdot b^{2} = 8[/tex]
[tex]3\cdot b^{2}-5\cdot b +1 = 0[/tex]
The roots of this polynomial are determined by the Quadratic Formula:
[tex]b_{1} \approx 1.434[/tex] and [tex]b_{2} \approx 0.232[/tex].
The numbers [tex]b[/tex] such that the average value of [tex]f(x) = 7 +10\cdot x - 9\cdot x^{2}[/tex] on the interval [0, b] is equal to 8 are [tex]b_{1} \approx 1.434[/tex] and [tex]b_{2} \approx 0.232[/tex].
Question 4 will mark the brainliest:)
Answers
Answer:
B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.
Step-by-step explanation:
Let's evaluate each answer choice.
For reference, the data set is 90, 79, 5, 84, 95, 81 , 87, 94
From least to greatest: 5, 79, 81, 84, 87, 90, 94, 95
A. Since the data has many repeated values, the mode best represents the data.
⇒ The data set has no repeated values. Therefore, this answer choice cannot be correct.
B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.
⇒ This choice is correct. 5 is an extreme value. If we were to arrange the data from the least to greatest, the middle numbers would all be around 80 to 90 ( no big gaps).
C. Since there are no extreme values, the mean best represents the data.
⇒This data set does have an extreme value. There is a 5 in the mix of 80s and 90s. So, this answer is not correct.
D. Since there are no extreme values and few repeated numbers, the median best represents the data.
⇒ As previously mentioned, there is an extreme value of 5. We can eliminate this choice.
Therefore, the best answer choice is B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.
Which is the recursive formula for the explicitly defined sequence?
an = 8n-3
Answers
Answer : [tex]a_{n+1}=a_n+8[/tex]
Step-by-step explanation:
The given explicit formula : [tex]a_n=8n-3[/tex] , where n is a natural number.
At n=1 , [tex]a_1=8-3=5[/tex]
At n=2, [tex]a_2=8(2)-3=16-3=13[/tex]
At n=3 , [tex]a_3=8(3)-3=24-3=21[/tex]
We can see the common difference is 8.
So we can write [tex]a_{n+1}=a_n+8[/tex]
Hence, the recursive formula for the explicitly defined sequence is [tex]a_{n+1}=a_n+8[/tex]
Please help! Attachment below
Answers
Answer:
that means the system has no solutions
Janie bought 3 apples and 9 bananas. Each apple costs $0.30, and each banana costs $0.90. Enter an expression representing the total cost. NEED ANSWER ASAP PLEASE
Answers
Answer:
0.3a + 0.9b
Step-by-step explanation:
1 apple = $0.3
1 banana = $0.9
a apples = $0.3 * a
b bananas = $0.9 * b
total cost = 0.3a + 0.9b
2-7 please help BRAINLEST
Answers
Answer:
y = 40
Step-by-step explanation:
__y_ x 8 = 8 x 5
8
y = 40
Answer:
y=40 is the answer.
Step-by-step explanation:
y/8=5
In order to find the value of y multiplying 8 on both sides
y/8✖️8=5✖️8
y=40 is the answer.
Hope it will help you :)
Julio wants to purchase a truck. The purchase price of the truck is $ 38 , 000.00 The dealership will allow him to pay cash or finance the truck for a down payment of $ 5 , 000.00 and 60 monthly payments of $ 750.00. Julio chooses to finance the truck.
Answers
Answer:
88,000
Step-by-step explanation:
If the down payment is $5,000and the monthly payment is $750. Then the amount of the truck through finance is $50,000.
What is finance?The big-scale money management, particularly by governments or huge corporations.
Julio wants to purchase a truck.
The purchase price of the truck is $ 38,000.00.
The dealership will allow him to pay cash or finance the truck for a down payment of $ 5,000.00 and 60 monthly payments of $ 750.00.
Julio chooses to finance the truck.
If he makes the payment through finance. Then the amount of the money he has to pay will be
Amount = 5000 + 60 × 750
Amount = 5000 + 45000
Amount = $50,000
If he makes the payment through finance. Then the amount of money he has to pay is 50,000 dollars.
More about the finance link is given below.
https://brainly.com/question/23950352
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Add the polynomials (Write answers in descending order)
Answers
I did one for you just to give u an idea on how to it. Hope it helps!
Of the 200 graduate students who were interviewed for a par time position at a call center, 110 had a bicycle, 25 had a master card and 130 had a mobile phone. 50 of them had both, a bicycle and a master card, 30 had both, a master card and a mobile phone and 60 had both, a bicycle and mobile phone and 10 had all three. How many candidates had none of the three?
Answers
Answer:
65 candidates.
Step-by-step explanation:
From the above question, we have the following information
Total number of graduate students = n(B ∪ MP ∪ MC)
200 students
Number of students with bicycle = n(B) = 110
Number of students with MasterCard = n(MC) = 25
Number of students with Mobile phone = n(MP) = 130
Number of students with both bicycle and Master card = n ( B ∩ MC) = 50
Number of students with both Mastercard and Mobile phone = n ( MC ∩ MP) = 30
Number of students with both Bicycle and Mobile phone = n ( B ∩ MP) = 60
Number of students that had all three =
n ( B ∩ MP ∩ MC) = 10
Number of candidates that had none of the three = ( None of B ∩ MP ∩ MC)
Since this is a three element set, the formula is given as:
n(B ∪ MP ∪ MC) = n(B) + n ( MP) + n (MC) - n ( B ∩ MP) - n ( B ∩ MC) - n ( MC ∩ MP) + n (B ∩ MP ∩ MC) + ( None of B ∩ MP ∩ MC)
n(B ∪ MP ∪ MC) - ( None of B ∩ MP ∩ MC) = n(B) + n ( MP) + n (MC) - n ( B ∩ MP) - n ( B ∩ MC) - n ( MC ∩ MP) + n (B ∩ MP ∩ MC)
200 - ( None of B ∩ MP ∩ MC) = 110 + 25 + 130 - 60 - 50 -30 + 10
200 - ( None of B ∩ MP ∩ MC) = 110 + 25 + 130 + 10 - 60 - 50 - 30
= 200 - ( None of B ∩ MP ∩ MC) = 275 - 140
= 200 - ( None of B ∩ MP ∩ MC) = 135
( None of B ∩ MP ∩ MC) = 200 - 135
( None of B ∩ MP ∩ MC) = 65
Therefore, 65 candidates had none of the three
In 2011, a U.S. Census report determined that 68% of college students are working students. A researcher thinks this percentage has changed and surveys 144 college students. The researcher reports that 93 of the 144 are working students. Is there evidence to support the researcher's claim at the 1% significance level
Answers
Answer:
We will fail to reject the null hypothesis and conclude that there is sufficient evidence not to support the researchers claim.
Step-by-step explanation:
We are given;
Population proportion; p = 68% = 0.68
Sample proportion; p^ = 93/144 = 0.6548
n = 144
The hypotheses are:
Null hypothesis;H0: p = 0.68
Alternative hypothesis;Ha: p ≠ 0.68
np = 144 × 0.6548 > 5 and nq = n(1 - p) = 144(1 - 0.68) > 5.
Since np and nq are more than 5, we can use the z-test .
z-formula in this case is;
z = (p^ - p)/√(p(1 - p))
Plugging in the relevant values, we have;
z = (0.6548 - 0.68)/√(0.68(1 - 0.6548))
z = -0.0252/0.4845
z = -0.052
From the z-table attached, we have a p-value of approximately 0.4801
P-value is higher than the significance level of 0.01.
Thus,we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the researchers claim.
which equation is equivalent to the given equation? x^2+16x=22
a. (x+8)^2=86
b. (x+8)^2=38
c. (x+16)^2= 278
d. (x+4)^2= 22
Answers
Answer:answer is a (x+8)^2=86
Step-by-step explanation:
x+8=±√
86
2 Break down the problem into these 2 equations.
x+8=\sqrt{86}x+8=√
86
x+8=-\sqrt{86}x+8=−√
86
3 Solve the 1st equation: x+8=\sqrt{86}x+8=√
86
.
x=\sqrt{86}-8x=√
86
−8
4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√
86
.
x=-\sqrt{86}-8x=−√
86
−8
5 Collect all solutions.
x=\sqrt{86}-8,-\sqrt{86}-8x=√
86
−8,−√
86
−8
x
2
+16x−22=0
2 Use the Quadratic Formula.
x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=
2
−16+2√
86
,
2
−16−2√
86
3 Simplify solutions.
x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√
86
,−8−√
86
The equivalent equation x² + 16x = 22 will be (x + 8)² = 86. Then the correct option is A.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The equation is given below.
x² + 16x = 22
Add both side 64.
x² + 16x + 64 = 22 + 64
(x + 8)² = 86
Then the correct option is A.
More about the equivalent link is given below.
https://brainly.com/question/889935
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The product of 5 and the cube of x, increase by the difference of 6 and x3
Answers
Answer:
[tex]4x^{3} +6[/tex]
Step-by-step explanation:
The product of 5 and the cube of x[tex]5*x^3\\\\=5x^3[/tex]
the difference of 6 and x^3[tex]6-x^3[/tex]
I understand as increase as sum so
[tex](5x^3)+(6-x^3)\\\\5x^3+6-x^3\\\\(5-1)x^3+6\\\\4x^3+6[/tex]
What is 1/3 times 1/3 times 1/3
Answers
Answer:
1/27
Step-by-step explanation:
since the numerator is only one, just go ahead and write one on the numerator spot. Then you multiply the bottom 3^3 is 27, therefore you get 1/27th
Answer:
1/3 cubed is 1/27
Step-by-step explanation:
1/3*1/3*1/3 is equal to 1/27
Every week, you spend $15.35 on coffee. There are 52 weeks in a year. How much money do you spend on coffee in a year?
Answers
Answer:
$798.20
Step-by-step explanation:
15.35 × 52 = 798.20
Three bells ring at an interval of 10,20,and 30 minutes respectively. If they all ring together at 10:30 p.m.,at what time will they again ring together?
Answers
Answer:
11:30 PM
Step-by-step explanation:
This question is essentially asking for the lowest common multiple of 10, 20, and 30. If we write out all the multiples of each, we get:
10: 10, 20, 30, 40, 50, 60, 70, ...
20: 20, 40, 60, 80, ...
30: 30, 60, 90, ...
As you can see, the lowest common multiple is 60, and 60 minutes after 10:30 PM is 11:30 PM.
Use the perimeter formula P = 2 l + 2 w to find the perimeter, P , of a rectangular lot if the width, w , is 70 feet and the length, l , is 105 feet.
Answers
Answer:
P = 350 feet
Step-by-step explanation:
P = 2L + 2W
W = 70 feet
L = 105 feet
plug in values:
P = 2(105) + 2(70)
P = 210 + 140
P = 350 feet
plz say answer for this grade 7
Answers
The full circle = 360 degrees
so x = all the full circle minus the other 3 angles
Now we sum the three angles we know [100, 46, 64]:
100 + 46 +64 = 210 degrees
Now we calculate x
x = 360 - 210 = 150 degrees
M is between points C and Q. CM=17 and CQ=21. What is MQ? Enter your answer in the box. MQ=
Answers
Answer:
4 units
Step-by-step explanation:
Since, M is between points C and Q, i. e. C - M - Q.
Therefore, CM + MQ = CQ
Therefore, 17 + MQ = 21
MQ = 21 - 17
MQ = 4
Answer:
M is between points C and Q. CM=17 and CQ=21.
What is MQ?
MQ= is 4, the same as on k12
Step-by-step explanation:
4) Martin compares the prices of paper towels. A 3-roll package is priced at $2.89. A single
rollis priced at $89. Based on price alone, which is the better buy?
Answers
Answer:
assuming prices are correctly shown: 3-roll packageassuming a typo: single rolls.Step-by-step explanation:
If single rolls are indeed priced at $89 each, the 3-roll package is a much better buy.
We suspect that the single rolls are priced at $0.89 each, which means you can buy 3 of them for less than $2.70. At this price, single rolls are a better buy.
Triangle ABC has vertices A (1,3), B (-2,-1), and C (3,-2). Triangle ABC has been translated
right 4 and down 2. This translation can be written in coordinate notation as
Answers
Answer:
A(5,1) B(-6,2) C(7-4)
Step-by-step explanation:
A car is traveling at a rate of 84 miles per hour. What is the car’s rate in miles per minute? How many miles will the car travel in 2 minutes? Do not round answer.
Answers
Answer:
2.4
Step-by-step explanation:
60 min in a hour
84/60= 1.4
1.4 x 2 = 2.4
Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of pancake mix. What is the constant of proportionality for the ratio of pancake mix to milk? Two-thirds StartFraction 6 over 9 EndFraction Three-halves StartFraction 9 over 6 EndFraction
Answers
Step-by-step explanation:
The ratio simplified is 3:2 which is for every three cups of pancake mix there is 2 cups of milk. In this situation for each batch Vector wants to make of pancake he has to have 9 cups of pancake mix for every 6 cups of milk or the original 9:6 ratio.
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
The constant of proportionality for the ratio of pancake mix to milk is 3/2. Hence, 3rd option is the right choice.
What do we mean by the constant of proportionality?When two or more ratios are in proportion, their simplest form is always the constant. This simplest form is the constant of proportionality.
How do we solve the given question?We are informed that Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of pancake mix.
We are asked to find the constant of proportionality for the ratio of pancake mix to milk.
As pancake mix and milk are the ingredients used, they will always be in proportion. So to calculate their constant of proportionality, we take the ratio of pancake mix to milk and reduce it to its simplest form.
The ratio of pancake mix to milk = 9/6
Reducing this to its simplest form, we get the constant of proportionality = 3/2
∴ The constant of proportionality for the ratio of pancake mix to milk is 3/2. Hence, 3rd option is the right choice.
Learn more about the constant of proportionality at
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Please help me
What is the area of this figure?
Answers
Answer: 74 ft^2.
Step-by-step explanation: First, you can seperate the figure into an 8x9 rectangle and a 1x2 rectangle. 8*9 = 72 and 1*2 = 2 and then you add them to get 74. The unit is ft, but we're multiplying, so it becomes ft^2. Thus, the answer is 74 ft^2.
Answer:
Total Area = 50 ft²
Step-by-step explanation:
Total Area = (8 * 6) + (2 * 1)
Total Area = 48 + 2
Total Area = 50 ft²
In the last 10 years, the population of Indonesia has grown at a rate of 1.12% per year to 258,316,051. If this rate continues, what will be the population in 10 more years? Round your answer to the nearest whole number.
Answers
Answer:
288750006
Step-by-step explanation:
Growth rate:
1.12% or 1.0112 timesCurrent population:
258,316,051Predicted population after 10 years:
258,316,051*(1.0112)^10 = 288,750,006.168≈ 288,750,006 roundedAnswer:288,929,825
Step-by-step explanation:
This is the right answer.
how to write 32 as well
exponential form
Answers
Answer:
2^5
Step-by-step explanation:
2^5 = 2 x 2 x 2 x 2 x 2 = 32
Step-by-step explanation:
2x2x2x2 now that is the exact way to solve it mark me as a brilliantis
Which of the following fall(s) at a z-score of 0.0 in a normal distribution? Mean Median Mode Mean, media and mode
Answers
Answer: Median Mode Mean
Step-by-step explanation:
A normal distribution a symmetric distribution where most of the values lies around the central peak where Mean, median mode all lies together and the value of z=0 (as z-value given the distance of data values from mean with respect to the standard deviation).
i.e. Z-score of 0 has 50% of the area to the left and 50% area to the right.
Hence, at a z-score of 0.0 in a normal distribution Mean, Median and Mode all fall together.