The options that are true include:
A. One pound of pistachios plus 1 pound of almonds cost $20.
C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.
E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.
Cost of almond = a
Cost of pistachios = a + 4
Therefore, based on the information given, the equation to solve the question will be:
2(a + 4) + 3a = 48
Collect like terms
2a + 8 + 3a = 48
5a = 48 - 8
5a = 40
a = 40/5
a = 8
Almonds cost $8
Pistachios cost $12
In conclusion, the correct options are A, C, and E.
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As part of an environmental impact study, a power company wants to estimate the difference in mean water temperature between the discharge of its plant and the offshore waters. How many sample measurements must be taken at each site to estimate the true difference between means to within .2°C with 95% confidence? Assume that the standard deviation in readings is about 1.5°C at each site and the same number of readings will be taken at each site.
Using the z-distribution, it is found that 217 sample measurements should be taken at each site.
The margin of error of a z-confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Estimate of the standard deviation of 1.5, thus, [tex]\sigma = 1.5[/tex].
We want the sample for a margin of error of 0.2ºC, thus, we have to solve for n when [tex]M = 0.2[/tex].
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.2 = 1.96\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.2\sqrt{n} = 1.96(1.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(1.5)}{0.2}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96(1.5)}{0.2})^2[/tex]
[tex]n = 216.1[/tex]
Rounding up:
217 sample measurements should be taken at each site.
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The chart shows data for an object moving at a constant acceleration. A 2 column table with 4 rows. The first column is labeled time in seconds with entries 0, 1, 2, 3. The second column is labeled velocity in meters per second with entries 0, X, Y, Z. Which values best complete the chart? X: 0 Y: 0 Z: 0 X: 2 Y: 4 Z: 6 X: 3 Y: 3 Z: 3 X: 1 Y: 5 Z: 8
Answer:
its B
Step-by-step explanation:
X:2
Y:4
Z:6
The values that best complete the chart as per the concept of ratio are X:2, Y:4, and Z:6.
To determine the correct values for the chart, let's analyze the given information about an object moving at a constant acceleration:
The first column represents time in seconds (0, 1, 2, 3).
The second column represents velocity in meters per second (0, X, Y, Z).
Since the object is moving at a constant acceleration, its velocity is changing by the same amount in equal time intervals.
We can use the formula for constant acceleration:
Velocity (V) = Initial Velocity (U) + (Acceleration × Time)
Given that the object starts from rest (initial velocity, U = 0), we can deduce the following:
At time 1 second (T = 1), the object's velocity is X m/s.
At time 2 seconds (T = 2), the object's velocity is Y m/s.
At time 3 seconds (T = 3), the object's velocity is Z m/s.
Based on this information, the correct values for the chart are:
X: 2 (Velocity at 1 second is 2 m/s)
Y: 4 (Velocity at 2 seconds is 4 m/s)
Z: 6 (Velocity at 3 seconds is 6 m/s)
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Graph the following features: Slope = 3/2 Y-intercept = 5
Please show step by step. I will chose Brainlyest once it lets me. 5 s and thanks too. Please answer ASAP.
percent change of 3.25 to 2.95
Answer:
-9.23%
Step-by-step explanation:
.
Which table corresponds to the equation y = -3x -2?
Whoever gets it right gets 50 points!
Answer:
A.
Step-by-step explanation:
x y
-2 4
-1 1
0 -2
1 -5
2 -8
смесь сухофруктов состоит из изюма и кураги. Изюма составляет 42% всей смеси. Сколько процентов этой смеси составляет курага?
58% должно быть вашим ответом
Answer:
58%
Step-by-step explanation:
вычтите исходный процент из 100, и вы получите еще один, и это абрикосы
The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 7 cm and the width is 4 cm, how fast is the area of the rectangle increasing?
Given :
The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 7 cm and the width is 4 cm .To find :-
how fast is the area of the rectangle increasing?Solution :-
As we know that :-
A = lbTo find the rate :-
d(A)/dt = d(lb)/dt .Differenciate :-
dA/dt = l (db/dt ) + b (dl/dt )Substitute :-
dA/dt = 6*7 + 4* 8 dA/dt = 42 + 32 cm²/s dA/dt = 74 cm²/sThe owner invested 18,400 in the company in exchange for its common stock. The company purchased 1,350 cash in supplies. The owner invested 11,700 of equipment for more common stock. The company purchased 370 of additional supplies on credit. The company purchased land for 10,700 cash
Answer:
Total expenses: $34,520
Money needed for profit: $34521
Is this a good idea: Not unless he is prepared for it to go under...
Step-by-step explanation:
(5k-10)•-9
show work plssss
HELPPPPP Find all the side angles.
Answer:
28, 3x 8
Step-by-step explanation:
Which of the following is the solution to 3|x-1|>12?
Answer:
C.
Step-by-step explanation:
3|x - 1| >= 12
|x - 1| >= 4
x - 1 <= -4 or x - 1 >= 4
x <= -3 or x >= 5
Answer: C.
Which statement BEST expresses a connection between gravity and friction? A. Gravity and friction work together to provide the strong, opposing force that slows a snowboarder's ride. B. Gravity and friction are connected as they are the only two factors influencing speed when snowboarding. C. Gravity and friction are opposing forces; gravity holds a snowboarder in place while friction pulls a snowboarder down. D. Gravity and friction result in successful snowboarding after the transference of gravity into energy and a lubricating water layer produced by friction.
Answer:
D
Step-by-step explanation:
I had this question on a test and D was right
it's worded the exact same way
Answer:
a.
providing a force to propel the snowboarder down a slope to gain speed
The guy above me is a fool
Step-by-step explanation:
Problem 7, please answer the following step by step.
(a) This is the same as computing 4⁵⁵ (mod 11). We have
4² ≡ 16 ≡ 5 (mod 11)
4³ ≡ 4 • 5 ≡ 20 ≡ 9 (mod 11)
4⁴ ≡ 4 • 9 ≡ 36 ≡ 3 (mod 11)
4⁵ ≡ 4 • 3 ≡ 12 ≡ 1 (mod 11)
Then from here,
4⁵⁵ ≡ (4⁵)¹⁰ • 4⁵ ≡ 1¹⁰ • 1⁵ ≡ 1 (mod 11)
(b) Each term in the sum
4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴
has a common factor of 4ⁿ, so this sum is the same as
4ⁿ (1 + 4 + 16 + 64 + 256) = 4ⁿ • 341 = 4ⁿ • 11 • 31
So the sum is indeed divisible by 11 for all integers n.
(c) Since 4ⁿ = (2ⁿ)², we know the sum is also divisible by 11 when a = 2.
When Jerome travels on the highway, he sets his cruise control at 65 mi/h. The function f(x)=65x represents his total distance f(x) when he has traveled x hours. How many miles will he have travelled after 3.5 hours of driving on the highway
The number of miles that he will have traveled after 3.5 hours of driving on the highway is 227.5 miles.
The function given to solve the question is: f(x) = 65x
where, x = number of hours
Therefore, when he travelled for 3.5 hours, the number of miles will be gotten by multiplying 65 by 3.5.
f(x) = 65x
= 65 × 3.5
= 227.5 miles.
Therefore, the number of miles that he will have travelled after 3.5 hours of driving on the highway is 227.5 miles.
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the room has a rug right in the middle of a room. The rug is 3m by 4 m and it is 2 m away from all the surrounding walls. Calculate the area of the room.
Technically it should say the area of the floor of the room but whatever
Also all things done assuming "room" means "floor" and that the rug isn't suspended in midair in the middle of the 3-D room
Answer:
[tex]56~m^2[/tex]
Step-by-step explanation:
If the room is 2 meters away from the rug top and bottom, the room is an extra 4 meters bigger than the rug in width. Likewise for sideways.
WLOG let the rug have a length of 3 and a width of 4(doesn't matter which number goes where). Then, the room has dimensions of [tex](3+4)[/tex] by [tex](4+4)[/tex], which equals 7 by 8 meters.
Therefore, the area is [tex]7*8=\boxed{56~m^2}[/tex]
HELP PLEASEEE, I WILL MARK BRAINLEST!
9514 1404 393
Answer:
∠a = 133°∠b = 15°∠c = 75°∠d = 58°Step-by-step explanation:
We don't know the definitions, properties, postulates, or theorems on your list, so we'll use the following:
a right angle measures 90°a straight angle measures 180°the acute angles in a right triangle total 90°an exterior angle of a triangle is equal to the sum of the remote interior anglesthe measure of an angle is equal to the sum of the measures of its parts.__
∠a = 180° -47° = 133°; reasons 2, 5. The angles form a straight angle.
∠b = 47° -32° = 15°; reason 4
∠c = 90° - ∠b = 90° -15° = 75°; reason 3
∠d = 90° -32° = 58°; reasons 1, 5. The angles form a right angle. If you want to get picky, we know it is a right angle by reasons 1 and 2. The marked right angle and the sum of 32° and ∠d together form a straight angle.
Order the numbers in each exercise from least to greatest
-1 2/3, 1.6, -1 4/5
Answer:
-1 2/3, 1.6, 1 4/5
Step-by-step explanation:
The total bill was $45 and mr Spieker payed 2/6if the bill how much did mister spieker pay
Answer:
3.75 I think, not sure
Step-by-step explanation:
10 ft
8 ft
D
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate a.
A = [? ] ft2
Please Colin how to do it! I need notes for final
Answer:
32
Step-by-step explanation:
What is the quotation?
Answer:
the quotient is the result so 4.25
if someone could help me I'd be ready greatful
Answer:
65
Step-by-step explanation:
Jason, murray, and dana went fishing. Dana caught a red snapper. Jason caught a tuna with a weight 3 times as great as the weight of the red snapper. Murray caught a sailfish with a weight 12 times as great as the weight of the red snapper. If the combined weight of the three fish was 208 pounds, how much did the tuna weigh?
Answer:
Tuna = 39 pounds
Red Snapper 13 pounds
Sailfish = 156 pounds
Step-by-step explanation:
T = 3x
RS = x
S = 12x
3x + x + 12x = 208
16x = 208
x = 208/16
x = 13
Tuna = 3(13)=39
Red Snapper = 13
Sailfish = (12)(13) = 156
Please help me and can you explain step by step please
Answer:
16 robots
Step-by-step explanation:
Each worker can move 12 boxes/minute and there are 24 workers.
24 x 12 = 288
Divide the total work by 18 (since a robot can move 18 boxes/minute)
288 ÷ 18 = 16
9•(c + 3) = 9•c +9•3
Choose the property of real numbers that justifies the equation
Answer: Distributive Law
What is (23)(−98)(−45)(−1)
Answer:
(23)(−98)(−45)(−1)= -101430
You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game?
$8.75
$12.50
$80
$10.25
The expected value of the game is $8.75.
----------------------
The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.The probability of spinning a 2 and a vowel is: [tex]\frac{1}{4} \times \frac{2}{8} = \frac{2}{32}[/tex].Thus, [tex]\frac{2}{32}[/tex] probability of getting $50.The probability of spinning 2 and a consonant is: [tex]\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}[/tex]Thus, [tex]\frac{6}{32}[/tex] probability of getting $25.The probability of spinning 1 and a vowel is: [tex]\frac{3}{4} \times \frac{2}{8} = \frac{6}{32}[/tex].Thus, [tex]\frac{6}{32}[/tex] probability of getting $5.
32 - (6 + 6 + 2) = 18, thus, [tex]\frac{18}{32}[/tex] probability of earning $0.
The expected value is:
[tex]E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)[/tex]
[tex]E = \frac{100 + 150 + 30}{32}[/tex]
[tex]E = \frac{280}{32}[/tex]
[tex]E = 8.75[/tex]
The expected value of this game is of $8.75.
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What is the range?can someone please help I forgot to study
Answer
The range is the difference between the largest and smallest numbers.
Step-by-step explanation:
The range is the difference between the largest and smallest numbers.
What is the value of 9 squard
I presume you mean 9 'square'
9^2= 9 X 9 = 81
Cheerio ✌️
Step-by-step explanation:
The value of 9 Square is = 9 ×9= 81
Hope it's help you
If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk cost?
Group of answer choices
