Answer:
There are 6 dimes and 9 quarters.
Step-by-step explanation:
Represent the number of dimes and the number of quarters by d and q.
Then d + q = 15, or q = 15 - d.
Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.
Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or
75 - 5d + 2d = 57, or
75 - 3d = 57, or
3d = 18. Thus, there are 6 dimes. Since q = 15 - d, q = 15 - 6 = 9.
There are 6 dimes and 9 quarters.
The number of dimes and quarters totaling $2.85 are 6 dimes and 9 quarters.
To solve this, we can set up two equations based on the number of coins and their total value.
Let's denote the number of dimes as d and the number of quarters as q. The value of a dime is $0.10, and the value of a quarter is $0.25. We know there are 15 coins in total, which gives us the first equation:
d + q = 15
The second equation is based on the total value of the coins:
0.10d + 0.25q = 2.85
To solve the system of equations, we can use substitution or elimination. Multiplying the second equation by 10 gives us:
d + 2.5q = 28.5
Subtracting the first equation from this results in:
1.5q = 13.5
Dividing by 1.5 gives us the number of quarters:
q = 9
Substituting q = 9 into the first equation gives us the number of dimes:
d + 9 = 15
d = 6
Therefore, there are 6 dimes and 9 quarters in the cup.
You have 15 cookies. 7 are chocolate chip, 5 are sugar cookies, and 3 are snickerdoodles. You choose one, eat it, and then choose another. What is the probability that you will choose a choc chip cookie, eat it, and then choose another choc chip cookie?
Answer:
20%
Step-by-step explanation:
Let's break this down into simpler terms.
We know that:
There are 15 total cookies.
7 of them are chocolate chip.
Therefore, the ratio of chocolate chip cookies to total cookies is 7:15.
In other words, there is a 7 out of 15 chance that you will pick a chocolate chip cookie the first time. This percentage is 46.666666666667%.
Now, we have to figure out the percentage after you eat it. The new ratio of chocolate chip cookies to total cookies is 6:14.
In other words, there is a 6 out of 14 chance that you will pick a chocolate chip cookie the second time. This percentage is 42.857142857143%.
Now, we have to combine the two, as the second percentage only happens if the first percentage works (if that makes any sense).
Surprisingly, 42.857142857143% of 46.666666666667% rounds to exactly 0.2, which written as a percent is 20%.
Therefore, there is a 20% chance that you will choose a chocolate chip cookie, eat it, and then choose another chocolate chip cookie.
Answer:
Step-by-step explanation:
you will have diabetes
In a circle, if a diameter bisects a chord (that is not a diameter), then:
The chord and the diameter are perpendicular.
Suppose that chord AB is bisected by a diameter, which interserct the chord at point C.
Now, focus on triangles OAC and OBC. They have:
OA = OB because they are both radiiOC in commonAC=BC because the diameter bisects the chordSo, they are congruent. In particular, this means that angles ACO and BCO are equal. Since they sum up to 180, each of them must be 90°, so the diameter is perpendicular to the chord.
In a circle, if a diameter bisects a chord (that is not a diameter), then it must also be the perpendicular bisector of that chord.
What is a perpendicular bisector?A perpendicular bisector is defined as a line that divides an angle into two equal angles. Draw the given angle first, then cut it in half, and then draw the angle's bisector.
If a diameter bisects a chord in a circle, then it must also be the perpendicular bisector of that chord. This is because the diameter is the longest possible chord in the circle, and it passes through the center of the circle, which is the point of concurrency for all the perpendicular bisectors of chords in the circle.
Therefore, it must also be the perpendicular bisector of that chord when the diameter bisects a chord.
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2x10+7*1/10+3*1/100?
Answer:
20.73
Step-by-step explanation:
2x10+7*1/10+3*1/100
20 + 0.7 + 0.03
20.73
Answer:
2x^10+73/100
Step-by-step explanation:
pls mark me brainliest
Which of the following triangles are impossible? Check all that apply. a triangle with angles of 28º, 72º, and 80º a triangle with angles of 17º, 57º, and 106º a triangle with angles of 13º, 48º, and 131º
Answer:
a triangle with angles of 13, 48, and 131 degrees
Step-by-step explanation:
All the triangles equal to 180
36 - 6s = 48
How do you get the sum for s
Answer:
48-36=12
-6s=12
12 divided by -6 equals -2
s=-2
S is -2
Whats the answer to this?
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
–58 Db
–50 Db
9 Db
50 Db
Answer:
50 Db
Step-by-step explanation:
we know that
The loudness in decibels is given by the formula
[tex]L = 10log(\frac{I}{I_0})[/tex]
where
I = sound intensity in watts per square meter (Watts/m^2)
I₀ = reference intensity, = 10^(-12) Watts/m^2
so
For I=10^(-7) Watts/m^2
substitute in the formula above and solve for L
[tex]L = 10log(\frac{10^{-7} }{10^{-12}})[/tex]
[tex]L = 10log(10^{5})[/tex]
[tex]L = 10 (5)=50\ Db[/tex]
Answer:
D. 50 Db on ed
i took the test and i got it right
write a quadratic function in standard form whose graph has a vertex at (7,-3)
Answer:
y = x² -14x +46
Step-by-step explanation:
You want a standard form quadratic equation that has a vertex at (7, -3).
Vertex formThe vertex form of a quadratic equation is ...
y = a(x -h)² +k . . . . . . . vertex at (h, k), scale factor 'a'
Using a scale factor of 1 and vertex (h, k) = (7, -3), this equation is ...
y = (x -7)² -3
Standard formSimplifying this equation gives ...
y = x² -14x +49 -3
y = x² -14x +46 . . . . . . . standard form equation
Solve the equation if 0 degrees<=x<=360 degrees.
tanx=sqrt 3
Answer:
Step-by-step explanation:
hello :
tanx = √3 0°≤x≤360°
x = 60°
x=240°
X = 60 degrees when tan x = [tex]\sqrt{3\\[/tex]
What is tangent of an angle?Tangent of an angle is the ratio of the length of opposite side to the length of adjacent side of a right angled triangle.
Tangent of any angle is given by the equation tan x = [tex]\frac{sin x}{cos x}[/tex]
Now, sin 60° = √3/2 and cos 60° = 1/2
So tan 60° = [tex]\frac{\sqrt{3}/2 }{1/2}[/tex] = √3
Hence for 0 degrees≤ x ≤ 360 degrees, if tan x = [tex]\sqrt{3}[/tex], then x = 60°
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There are 3 strawberry yoghurts, 2 peach yoghurts and 4 cherry yoghurts in a fridge.
Kate takes a yoghurt at random from the fridge.
She eats the yoghurt.
She then takes a second yoghurt at random from the fridge.
Work out the probability that both the yoghurts were the same flavour.
The probability is 0.2778
The solution to the problem.The probability of Kate taking the strawberry yogurt the first time is = 3/9
The probability of Kate taking a peach yogurt for the first time is = 2/9
The probability of Kate taking a cherry yogurt first time is = 4/9
Now for the second time, the total number of yogurts will change from 9 to 8 as any one of the yogurts has been consumed by kate so find the probability of kate eating yogurt will be subtracted by 1 if she had already consumed it once.
The probability of Kate taking the strawberry yogurt the second time is = 2/8
The probability of Kate taking a peach yogurt for the second time is = 1/8
The probability of Kate taking a cherry yogurt a second time is = 3/8
The probability that she consumes the same yogurt consecutively 2 times is = 3/9*2/8+2/9*1/8+4/9*3/8 = 20/72 = 5/18 = 0.2778
Hence the probability of the yogurt being of the same flavor is 0.2778
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There are ten candidates for a job. The search committee will choose three of them, and rank the chosen three from strongest to weakest. How many different outcomes are possible
Answer:
720
Step-by-step explanation:
Since we are choosing a subset of 3 people from a set of 10 people, and arranging the 3 people according to relative strength, the answer can be obtained by computing P(10,3).
P(10,3)=10! / (10-3)!
= 10!/7!
Rewrite 10 ! as
10 * 9 * 8 * 7 ! / 7!
Cancel the common factor of 7 ! and divide ( 10 * 9 * 8 ) by 1
10 * 9 * 8 = 720
Final answer:
To find the number of different outcomes possible when selecting and ranking three candidates out of ten, we calculate the permutations without repetition, using the formula 10! / (10 - 3)!, which yields 720 different outcomes.
Explanation:
The question asks for the number of different outcomes possible when a search committee must choose and rank three candidates out of ten for a job. This is a permutation problem because the order in which the candidates are ranked matters.
To calculate the number of different outcomes, we use the formula for permutations without repetition, which is n! / (n - r)!, where 'n' is the total number of items to choose from (in this case, the number of candidates) and 'r' is the number of items to choose and arrange (in this case, the number of candidates to be ranked). So, the number of different outcomes for selecting and ranking three candidates from ten is calculated as follows:
10! / (10 - 3)! = 10! / 7! = 10 × 9 × 8 = 720
Thus, there are 720 different outcomes possible when the search committee chooses and ranks three candidates out of ten.
a northbound train left at midnight. three hours later, a southbound train left the same station. at 6 am the two trains were 330 miles apart. find the rate of each train if the northbound train traveled 10 miles per hour faster than the southbound train
Answer:
Step-by-step explanation:
In this question u can use relative speed of opposite direction
suppose speed of southbound train is x miles per hour so northbound train has speed of x+10 miles per hour.
Speed of tain1+ speed of train 2= Total distance/ total time
(x+10+x)=330/6
2x+10= 330/6
2x= 45
x=22.5 miles per hour (southbound train)
northbound train 22.5+10=32.5 miles per hour
Final answer:
The speed of the southbound train is 30 miles per hour, and the northbound train travels at a rate of 40 miles per hour, which is 10 miles per hour faster as per the problem's information.
Explanation:
The problem involves determining the rate of two trains, where one train travels northbound and the other southbound. The northbound train left at midnight, and the southbound train left three hours later. At 6 am, they were 330 miles apart. We know the northbound train travels 10 miles per hour faster than the southbound train.
Let's designate the speed of the southbound train as x miles per hour. Then the speed of the northbound train is x + 10 miles per hour. The southbound train travels for 3 hours (from 3 am to 6 am), and the northbound train travels for 6 hours (from midnight to 6 am).
The distance covered by the southbound train can be represented as 3x miles, and the distance covered by the northbound train would be 6(x + 10) miles. Together, these distances total 330 miles. Setting up the equation:
3x + 6(x + 10) = 330
Solving for x we get:
3x + 6x + 60 = 330
9x + 60 = 330
9x = 270
x = 30
Therefore, the speed of the southbound train is 30 miles per hour, and the speed of the northbound train is 40 miles per hour (30 + 10).
Which is a correct statement about the description “six less than the quotient of a number cubed and nine, increased by twelve” when n = 3? Check all that apply.
The correct expression is 6 minus StartFraction n cubed Over 9 EndFraction + 12.
The correct expression is StartFraction n cubed Over 9 EndFraction minus 6 + 12.
One of the steps to determining the value when n = 3 is 3 minus 6 + 12.
One of the steps to determining the value when n = 3 is 6 minus 3 + 12.
The value when n = 3 is 7.
The value when n = 3 is 9.
The value when n = 3 is 15.
The value when n = 3 is 17.
Answer: b, c, f
Step-by-step explanation: just took test on edge
Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work. Which sums prove that the boards will create a triangular outline for the garden? Select all that apply. 5 + 2.5 > 4 5 + 2.5 < 4 4 + 2.5 > 5 4 + 2.5 < 5 4 + 5 > 2.5
Answer:
1)5 + 2.5 > 4
3)4 + 2.5 > 5
5)4 + 5 > 2.5
Step-by-step explanation:
I got this question in edge
The triangular inequality for these dimensions are:
5ft + 2.5ft > 4ft (true)5ft + 4ft > 2.5 ft (true)2.5ft + 4ft > 5ft (true)Which sums prove that the boards will create a triangular outline?
For a triangle with sides A, B, and C, the triangular inequality says that:
A + B > CA + C > BB + C > AIn this case, we know that the pieces of wood measure:
5ft
2.5ft
4ft
The triangular inequality for these dimensions is:
5ft + 2.5ft > 4ft (true)5ft + 4ft > 2.5 ft (true)2.5ft + 4ft > 5ft (true)So the 3 inequalities are true, meaning that we can make a triangle with these dimensions.
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Find the 35th term in the arithmetic sequence: -10,-14,-18,-22,..
Answer:
- 146
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 10 and d = - 14 - (- 10) = - 14 + 10 = - 4, thus
[tex]a_{35}[/tex] = - 10 + (34 × - 4) = - 10 - 136 = - 146
How would I answer this?
Answer:
C = 145.4°
By creating a system of equations (2 equations) with the information from a problem, we can substitute and solve for the missing variables.
Step-by-step explanation:
Linear pairs are found on a straight line, so they total to 180°.
C + D = 180 ......eq'n [1]
C is seven more than four times D can be represented with this equation:
C = 4D + 7 ........eq'n [2]
We can solve by substituting [2] into [1], replacing "C".
C + D = 180
4D + 7 + D = 180
Collect like terms
5D + 7 = 180
Subtract 7 from both sides
5D = 173
Divide both sides by 5
D = 173/5
As a decimal, D = 34.6°.
Using eq'n [2], find C. Substitute the value of "D". Solve.
C = 4D + 7
C = 4(173/5) + 7
C = (692/5) + 7
C = (692/5) + (35/5) Find a common denominator.
C = (692+35)/5 Combine into numerator.
C = 727/5
As a decimal, C = 145.4°.
What appears to be the solution to the system of equations shown in the graph below?
(Please answer Now)
Given:
The system of equation is,
[tex]3x-4y = -2[/tex] -------- (1)
[tex]-6x+5y = 7[/tex] -------- (2)
To find the solution.
To solve the system of equation,
From (1) we get, [tex]3x = -2+4y[/tex]
Putting this value into (2) we get,
[tex]-6x+5y = 7[/tex]
or, [tex]-2(3x)+5y = 7[/tex]
or, [tex]-2(4y-2)+5y = 7[/tex]
or, [tex]-8y+4+5y = 7[/tex]
or, [tex]-3y = 7-4[/tex]
or, [tex]-3y = 3[/tex]
or, [tex]y = -1[/tex]
From (1) we get,
[tex]3x = -2+4(-1)[/tex]
or, [tex]3x = -6[/tex]
or, [tex]x = -2[/tex]
Hence,
The solution is [tex]x= -2[/tex] and [tex]y = -1[/tex]
Which shows a reasonable estimation for 124% of 42 using the distributive property?
A.(120 percent) (40) + (4 percent) (40) = (4,800) + (160) =4,960
B.(100 percent) (40) + (20 percent) (40) = (4000) + (800) = 4,800
C.(100 percent) (40) + (20 percent) (40) = (40) + (8) = 48
D.(100 percent) (40) + (20 percent) (40) = (40) + (80) = 120
Answer:
c
Step-by-step explanation:
saya fikir jee cara tuu
Answer:
its c
Step-by-step explanation:
lul
Brian says that ABCD is a right triangle. Is he correct? (Do the numbers 1 point
work in the Pythagorean Equation?)
Answer yes
Step-by-step explanation: because is solved correctly has right angle
Yes, Brian is right. Using the Pythagorean Theorem with the given side lengths shows near-perfect agreement, confirming triangle BCD is a right triangle.
Yes, Brian is correct. Triangle BCD is a right triangle.
We can see this by looking at the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In triangle BCD, the hypotenuse is BD, which has a length of 21.7 meters. The other two sides, BC and CD, have lengths of 13.5 meters and 17 meters, respectively.
Let's plug these values into the Pythagorean Theorem:
BD² = BC² + CD²
21.7² = 13.5² + 17²
469.69 = 182.25 + 289
469.69 = 471.25
As you can see, the left and right sides of the equation are almost equal, with a difference of only 1.56. This small difference is likely due to rounding errors in the given measurements.
Therefore, we can conclude that triangle BCD is a right triangle, and Brian is correct.
Mean (ul) = 510 and standard deviation (0) = 80
1. What is the probability that a randomly
selected score is greater than 590?
2. A student who scored 750 is in the
percentile.
Answer:
Step-by-step explanation:
1. Use a calculator with distribution functions here. We're interested in finding the area under the standard normal curve to the right of 590, given that the mean is 510 and the standard deviation is 80. Note that 590 = 510 + 80, meaning that 590 is 1 standard deviation above the mean.
According to the Empirical Rule, 68% of data under a standard normal curve lies within 1 standard deviation of the mean. The area from the extreme left of this curve to x = 510 is 0.500, and the additional area under the curve from 510 to 590 is 34% of the total area, or 0.340.
Thus, the desired area is 0.500 + 0.340 = 0.840. This represents the desired probability.
2. What percentile is a score of 750? Find the number of standard deviations to the left of 750:
750 - 510
z-score = ------------------- = 24/8 = 3.00
80
The desired percentile is the area to the left of z = 3.00. Using a calculator, we find this area to be 0.9987. That 750 score is in the 99+ percentile.
Please help again...
Answer:
39
Step-by-step explanation:
The angle marked 39 degrees and <2 are vertical angles and vertical angles are equal. This means that <2 = 39 degrees
Answer:
39 is correct
To find angle 3 just get 90 - 39= your answer
Step-by-step explanation:
The rule is vertical angles are congruent and same.
Thanks
A cargo box is 3 meters wide, 5 meters long and 6 meters tall. Find the surface area of the box. This is a rectangular prism.
A. 63 meters squared
B. 14 meters squared
C. 48 meters squared
D. 126 meters squared
Final answer:
The surface area of the cargo box, which is a rectangular prism with dimensions of 3 meters wide, 5 meters long, and 6 meters tall, is calculated using the formula SA = 2lw + 2lh + 2wh. The correct answer is D. 126 meters squared.
Explanation:
To find the surface area of a rectangular prism, you need to calculate the area of all six faces and sum them up.
The formula for the surface area (SA) of a rectangular prism is SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.
In this case, the dimensions of the cargo box are 3 meters wide (w), 5 meters long (l), and 6 meters tall (h). Using the formula:
SA = 2lw + 2lh + 2whSA = 2(5m × 3m) + 2(5m × 6m) + 2(3m × 6m)SA = 2(15m²) + 2(30m²) + 2(18m²)SA = 30m² + 60m² + 36m²SA = 126m²Therefore, the correct answer is D. 126 meters squared.
A egg is dropped from the roof of a building. the distance it falls varies directly with square of the time it falls. if it takes 1/2 second for the egg to fall eight feet, how long will it take the egg to fall 200 feet?
Answer
12.5 seconds
Step-by-step explanation:
Find the time it takes the egg to travel in 1 second
1/2 second=8 feet
x 2 x 2
1 second=16 feet
Create a proportion:
(x represents time in this equation)
16 feet :1 second=200 feet: x seconds
-solve with cross products
x=12.5
Answer
12.5 seconds
step-by-step explanation:
divide 200 by eight (which would give you the abount of half seconds)and divide by 2
Given vectors ū = -97 + 8) and 3 = 77 +57, find 2ū - 67 in terms of unit vectors and 7.
a. -607 - 147
c. -577-617
b. - 191-617
d. -137-617
The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).
To find 2ū - 6v in terms of unit vectors, we first need to compute 2ū and 6v, and then subtract 6v from 2ū.
Given vectors ū = <-97, 8> and v = <77, 57>, we can find 2ū and 6v as follows:
1. 2ū = 2<-97, 8> = <-194, 16>
2. 6v = 6<77, 57> = <462, 342>
Now, subtracting 6v from 2ū:
2ū - 6v = <-194, 16> - <462, 342> = <-194 - 462, 16 - 342> = <-656, -326>
Now, we need to express this result in terms of unit vectors. The unit vectors in the x and y directions are <1, 0> and <0, 1> respectively.
The final expression is then -656<1, 0> - 326<0, 1>, which simplifies to -656i - 326j, where i and j are the unit vectors in the x and y directions, respectively.
In summary, 2ū - 6v in terms of unit vectors is -656i - 326j.
Now, if we subtract 67 from each component, we get -656 - 67 in the x-direction and -326 - 67 in the y-direction:
-656 - 67 = -723
-326 - 67 = -393
So, the final result is -723i - 393j.
The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).
2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.
To find 2u - 6v in terms of unit vectors i and j using the given vectors ū = 9i + 8j and v = 7i + 5j, we perform the following calculations:
1. Multiply vector u by 2:
2u = 2(9i + 8j) = 18i + 16j
2. Multiply vector v by 6:
6v = 6(7i + 5j) = 42i + 30j
3. Subtract 6v from 2u:
2u - 6v = (18i + 16j) - (42i + 30j)
= 18i + 16j - 42i - 30j
= (18i - 42i) + (16j - 30j)
= -24i - 14j
Therefore, 2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.
The probable question maybe:
Given vectors ū = 9i + 8j and v = 7i +5j. find 2u - 6v in terms of unit vectors i and j.
An Apple iPod sells for $781.29 and has a mail-in rebate for $55.00. Determine the cost after the rebate if an envelope costs $0.13 and a stamp costs $0.40
Answer:
$725.76
Step-by-step explanation:
Cost of ipod = $781.29
Mail-in rebate = $55.00
Envelope = $0.13
Stamp = $0.40
A mail-in rebate is a mail containing a coupon, receipt or barcode usually in order to receive a certain discount on a purchase.
Cost of the mail-in = $(0.13 + 0.40) = $0.53
Cost of ipod + cost of mail = $781.29 - $0.53 = $780.76
New cost of ipod = (cost of ipod + cost of mail) - amount on mail-in rebate
New cost = $780.76 - $55.00
New cost = $725.76
Which radical expressions are equivalent to the exponential expression below ? Check all that apply . (13 + 8) ^ (1/2) A. (13 + 8) ^ 2 sqrt(21) . sqrt(13 + 8) E. 10.5
Answer:
[tex](B)\sqrt{21}\\(C)\sqrt{13+8}[/tex]
Step-by-step explanation:
Given the expression [tex](13 + 8) ^{1/2}[/tex]
Using law of indices: [tex]a^{1/2}=\sqrt{a}[/tex]
[tex](13 + 8) ^{1/2}=\sqrt{13+8}[/tex]
Also:13+8=21
Therefore:
[tex](13 + 8) ^{1/2}=21^{1/2}\\=\sqrt{21}[/tex]
Lucas has a cup of hot tea. Its temperature is 80°C. To cool it off, Lucas has put an ice cube in the tea. The temperature of the ice cube is
0°C. The cup of tea with the ice cube sits on a table, and the air around it is 25°C. Which of the following correctly describes how heat
will flow in this situation?
a) from the tea to the air
b) from ice to the air
c)from ice to the tea
d) from the air to the tea
The correct answer is c) from ice to the tea.
What is temperature?Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.
Heat always flows from warmer objects to cooler objects, so the heat will flow from the 80°C tea to the 0°C ice cube. The ice cube will absorb the heat from the tea and reduce its temperature, cooling it off. The air around the cup will remain at 25°C and no heat will flow from the tea or the ice cube to the air.
Therefore, option C is the correct answer.
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Help please !!
I really need help
As y increases by 4, x increases by 8. Which equation represents this rate of change?
Answer:
y + 4 = x +8.
y - x = 4
Step-by-step explanation:
This is a rate change equation,
When y increases by 4, the equation to represent that is (y + 4).
When x is also increased by 8, the equation is (x + 8)
Since both equation are dependable,
y + 4 = x + 8
We can further simplify this to
y - x = 8 - 4
y - x = 4.
Roberto decorates rectangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 ft long and 1/3 foot wide. It takes Roberto 3/4 hour to decorate a 1-square-foot sign. both signs square foot sign. What is the total amount of time in hours it takes Roberto to decorate both signs? Show or explain each step to find your answer.
To find the total time to decorate both signs, calculate the area of each sign, determine the time needed for each sign, and add the times together.
Explanation:To find the total time for decorating both signs:
Calculate the area of each sign by multiplying length and width.Determine the time to decorate each sign based on the area.Add the times together to get the total time.