At the store, 10 ounces of candy costs $3.20. How much does 1 ounce of candy cost?

Answer:

30 cm

Step-by-step explanation:

Make sure all units are the same!

P = Perimeter

A = Area

Formula used for similar figures:

\(\frac{A_{1}}{A_{2}} = (\frac{l_{1}}{l_{2}})^{2}\) —- eq(i)

\(\frac{P_{1}}{P_{2}} = \frac{l_{1}}{l_{2}}\) ———— eq(ii)

Applying eq(ii):

∴\(\frac{25}{P_{2}} = \frac{10}{12}\)

Cross-multiplication is applied:

\((25)(12) = 10P_{2}\)

\(300 = 10P_{2}\)

\(P_{2}\) has to be isolated and made the subject of the equation:

\(P_{2} = \frac{300}{10}\)

∴Perimeter of second figure = 30 cm

Answer:

by game 3(at 1:00 p.m.)

temperature increases to 5 degrees at 1:00 p.m

The composed function of f(x) and g(x) is f(g(x)) = 3x - 2.

To find the composed functions of f(x) and g(x), we substitute the expression of g(x) into f(x).

f(g(x)) = f(3x+2)

Replacing x in f(x) with (3x+2), we get:

f(g(x)) = (3x+2) - 4

Simplifying further:

f(g(x)) = 3x - 2

Therefore, the composed function of f(x) and g(x) is f(g(x)) = 3x - 2.

for such more question on composed function

https://brainly.com/question/22825802

#SPJ11

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

a. The planes are not mutually intersecting, and they all lie on the same plane.

If the third plane equation is a linear combination of the first two, the linear system either has an unlimited number of solutions or none at all.

If the third plane equation is not a linear combination of the first two, the linear system has no solutions.

b. Since the third vector is a scalar multiple of the first vector, we can see that the normal vectors for all three planes are similarly linearly dependent.

This indicates that the planes are all on the same plane and do not overlap one another.

If the third plane equation is a scalar multiple of the first two, the linear system either has an unlimited number of solutions or none at all.

If the third plane equation is not a scalar multiple of the first two, the linear system has no solutions.

c. Since the second vector is a scalar multiple of the first vector and the third vector is a linear combination of the first two, we can see that the normal vectors for all three planes are linearly dependent.

This indicates that the planes are all on the same plane and do not overlap one another.

If the third plane equation is a linear combination of the first two, the linear system either has an unlimited number of solutions or none at all.

If the third plane equation is not a linear combination of the first two, the linear system has no solutions.

d. The normal vectors for each of the three planes are not linearly dependent, as can be shown.

This indicates that the planes are intersecting one another and doing so at a specific position.

To get the coordinates of the point of intersection, we can solve a linear system of equations:

x = -1 y = 0 z = -2

e. The normal vectors for each of the three planes are not linearly dependent, as can be shown.

This indicates that the planes are intersecting one another at a line.

We may solve the linear system of equations to obtain the vector equation for the line:

x = 2 - y z = (1 - 2y)/3

This equation can be rewritten as a vector: x, y, z = 2, 0, 1 + t-1, 1, -1/3>

This is a linear system's vector equation.

a. For the first set of planes, we can find their normal vectors:

Plane 1: <1, 2, 3>

Plane 2: <2, 4, 6>

Plane 3: <1, 3, 2>

We can see that the normal vectors for all three planes are linearly dependent, since the third vector is a linear combination of the first two. This means that the planes are not mutually intersecting, and they all lie on the same plane.

The linear system has either infinitely many solutions (if the third plane equation is a linear combination of the first two) or no solutions (if the third plane equation is not a linear combination of the first two).

b. For the second set of planes, we can again find their normal vectors:

Plane 1: <1, 2, 3>

Plane 2: <2, 4, 6>

Plane 3: <3, 6, 9>

We can see that the normal vectors for all three planes are also linearly dependent, since the third vector is a scalar multiple of the first vector. This means that the planes are not mutually intersecting, and they all lie on the same plane.

The linear system has either infinitely many solutions (if the third plane equation is a scalar multiple of the first two) or no solutions (if the third plane equation is not a scalar multiple of the first two).

c. For the third set of planes, we can find their normal vectors:

Plane 1: <1, 2, 1>

Plane 2: <2, 4, 2>

Plane 3: <3, 6, 3>

We can see that the normal vectors for all three planes are linearly dependent, since the second vector is a scalar multiple of the first vector, and the third vector is a linear combination of the first two.

This means that the planes are not mutually intersecting, and they all lie on the same plane. The linear system has either infinitely many solutions (if the third plane equation is a linear combination of the first two) or no solutions (if the third plane equation is not a linear combination of the first two).

d. For the fourth set of planes, we can find their normal vectors:

Plane 1: <1, -2, -2>

Plane 2: <2, -5, 3>

Plane 3: <3, -4, 1>

We can see that the normal vectors for all three planes are not linearly dependent.

This means that the planes are mutually intersecting, and they intersect at a point.

We can solve the linear system of equations to find the coordinates of the point of intersection:

x = -1

y = 0

z = -2

e. For the fifth set of planes, we can find their normal vectors:

Plane 1: <1, -1, 3>

Plane 2: <1, 1, 2>

Plane 3: <3, 1, 7>

We can see that the normal vectors for all three planes are not linearly dependent.

This means that the planes are mutually intersecting, and they intersect at a line.

To find the vector equation of the line, we can solve the linear system of equations:

x = 2 - y

z = (1 - 2y)/3

We can rewrite this as a vector equation:

<x, y, z> = <2, 0, 1> + t<-1, 1, -1/3>

This is the vector equation of  linear system.

For similar question on intersecting.

https://brainly.com/question/28744045

#SPJ11

Answer:

50.24m

Step-by-step explanation:

3.14 x 16 = 50.24

Answer:

12.6

Step-by-step explanation:

According to Pythagoras theorem

c²=a²+b²

c=√a²+b²

√4²+12²

√16+144

√160

12.6

Answer:

You would need about 13 eggs.

Step-by-step explanation:

216 cookies would be taking the original recipe and making 4 and a half batches. So we multiply 3 by 4.5 to get 13.5.

3. A pair of adjacent complementary angles is: ∠LJM and ∠NJM.

4. A pair of adjacent supplementary angles is: ∠KJL and ∠NJL

5. A pair of nonadjacent complementary angles is: ∠EGF and ∠NJP

6. A pair of nonadjacent supplementary angles is: ∠FGH and ∠LJM

Supplementary angles have a sum that is equal to 180 degrees, while complementary angles equal 90 degrees.

Angles that share the same side and vertex are adjacent angles.

3. m∠LJM + m∠NJM = 56 + 34 = 90°

A pair of adjacent complementary angles is: ∠LJM and ∠NJM.

4. m∠KJL + m∠NJL = 90 + (56 + 34) = 180°

A pair of adjacent supplementary angles is: ∠KJL and ∠NJL

5. m∠EGF + m∠NJP = 41 + 49 = 90°

A pair of nonadjacent complementary angles is: ∠EGF and ∠NJP

6. m∠FGH + m∠LJM = 124 + 56 = 180°

A pair of nonadjacent supplementary angles is: ∠FGH and ∠LJM

Learn more about supplementary and complementary angles on:

https://brainly.com/question/13204208

#SPJ1

According to different units  1 sqaure foot value will be change like

1 square foot (ft²) = 0.09290304 square meters (m²)

What is square foot let's understand?

The square foot is an area measurement unit that is used in both the United States and the United Kingdom. It is also used in Bangladesh, India, Nepal, Pakistan, Ghana, Liberia, Malaysia, Myanmar, Singapore, and Hong Kong to a lesser extent. It is described as the surface of a square with 1-foot sides.

1 square foot (ft²) = 0.09290304 square meters (m²)

1 square foot (ft²) = 144.0000002229 square inches (in²)

1 square foot (ft²) = 0.111111106982 square yards (yd²)

To know more about square feet here:

https://brainly.com/question/18701774

#SPJ4

The expression: lim θ→π/2 sin(θ)/(4cos(2θ)) = sin(π/2)/(4cos(2π/2)) = 1/4.

The limit is 1/4.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.

We can begin by directly substituting π/2 into the expression and see that we get an indeterminate form of 0/0:

lim θ→π/2 (1 - sin(θ))/(1 + cos(2θ)) = (1 - sin(π/2))/(1 + cos(2π/2)) = 0/0.

To apply l'Hospital's Rule, we take the derivative of the numerator and denominator with respect to θ:

lim θ→π/2 (1 - sin(θ))/(1 + cos(2θ)) = lim θ→π/2 (-cos(θ))/(−2sin(2θ))

Now we can directly substitute π/2 into the expression:

lim θ→π/2 (-cos(θ))/(−2sin(2θ)) = (-cos(π/2))/(−2sin(2π/2)) = -1/0,

which is another indeterminate form. We can apply l'Hospital's Rule again by taking the derivative of the numerator and denominator with respect to θ:

lim θ→π/2 (-cos(θ))/(−2sin(2θ)) = lim θ→π/2 sin(θ)/(4cos(2θ))

Now we can substitute π/2 into the expression:

lim θ→π/2 sin(θ)/(4cos(2θ)) = sin(π/2)/(4cos(2π/2)) = 1/4.

Therefore, the limit is 1/4.

To learn more about trigonometry from the given link:

https://brainly.com/question/29002217

#SPJ1

Using a system of equations, it is found that the price of a student ticket is of $3.49.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

Considering the revenues and the number of tickets sold, the equations are given as follows:

From the second equation:

90y = 935 - 100x

y = (935 - 100x)/90

y = 10.39 - 1.11x

Replacing in the first equation:

180x + 110y = 1345.

180x + 110(10.39 - 1.11x) = 1345

57.9x = 202.1.

x = 202.1/57.9

x = 3.49.

The price of a student ticket is of $3.49.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Answer:

ok

Step-by-step explanation:

Answer:

5 3/4

Step-by-step explanation:

i not good at explaining

Answer:

  $1,236,800

Step-by-step explanation:

The problem statement tells you Brett's offer is $6700 less than the asking price. The offer is found by subtracting $6700 from the asking price:

  offer = asking price - $6700

  offer = $1,243,500 -6,700 = $1,236,800

Brett offered $1,236,800 for the house.

The equation could be used to solve for charles' rate if it is represented by x is 2x=54.

In the given question wehave to find the equation could be used to solve for charles' rate if it is represented by x.

Bill riding a bicycle at an average rate of 9 mph.

Charles' rate is x.

So the relative rate = x−9 mph

Distance traveled by Bill in 4 hours = 9*4 =36 mph

Charles' overtook Bill in 2 hours. So

Relative Rate = Distance/Time

x−9=36/2

Multiply by 2 on both side. We get

2(x−9)=36

Simplifying

2x−18=36

Add 18 on both side, we get

2x=36+18

2x=54

Hence, the equation could be used to solve for charles' rate if it is represented by x is 2x=54.

To learn more about speed formula link is here

brainly.com/question/7359669

#SPJ4

Answer:

C

Step-by-step explanation:

Each output is 3 more than the input

Answer: the answer is c, y + 3

Answer:

2.08 this is answer

Considering the definition of probability, the probability that the smoke will be detected by either a or b or both is 99%.

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

The union of events AUB is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs.

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events A∩B is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

In first place, let's define the following events:

Then you know:

Considering the definition of union of eventes, the probability that the smoke will be detected by either a or b or both is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

P(A∪B)= 0.95 + 0.98 -0.94

P(A∪B)= 0.99= 99%

Finally, the probability that the smoke will be detected by either a or b or both is 99%.

Learn more about probability:

brainly.com/question/25839839

#SPJ4

Answer:

2

Step-by-step explanation:

\(\frac{(-5)^{3} + 17}{10(2 - 6) - 2(5 + 2)}\\\\\frac{(-125) + 17}{10(-4)-2(7)}\\\\\frac{-108}{-40-14}\\\\\frac{-108}{-54}\\\\2\)

Answer:

A = -2.2

B =  -1.7

C =  1.87

D =  19.97

Step-by-step explanation:

A = 7.4 - 9.6 = -2.2

B = -2.2 + 0.5 = -1.7

C = -1.1(-1.7) = 1.87

D = 18.1 + 1.87 = 19.97

Answer:

A = -2.2

B =  -1.7

C =  1.87

D =  19.97

Step-by-step explanation:

To convert from gram per cubic centimeter to pounds per cubic inch you divide by 453,6 and multiply for 16,387

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1 pound is equal to 453,6 grams and 1 cubic inch is equal to 16,387 cubic centimeter, so to convert (g/cm3) to (lb/in3) you need to divide the value for 453,6 and then multiply for 16,387:

x value (g/cm3) * (1 lb/ 453,6 g) * (16,387 cm3/ in3) = x value lb/in3

Learn more about unit conversion at: brainly.com/question/141163

#SPJ4

(2x + 3) (x^2 - 6x + 9)

Answer:

a,d,e

Step-by-step explanation:

The probability that at least 5 will do their homework on time in a class of 50 students is 0.1

Probability

Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen.

the probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.06.

Each student does homework independently.

In a statistics class of 50 students, what is the probability that at least 5 will do their homework on time.

Probability = event occur/ total number of outcomes

                  = 5/50= 1/10=0.1

Thus the probability becomes 0.1

To learn more about the Homework visit:

https://brainly.com/question/24422678

#SPJ4

Answer:

C

Step-by-step explanation:

y=mx+b m=slope b=y-intercept, y-int: 4 slope: 3/1 but can just be put as 3. y=3x+4 bc it's a positive slope with a positive y-int.

The central idea of this passage is; - The Grimms' first collection of tales was a cultural study intended for a scholarly audience. Option D

This is further explained below.

Generally,  The Grimm brothers presented an oppressed and frightened young man who was left for dead in the woods by his brothers in their 1812 fairy tale. In exchange for seven years of protection from death, he gladly dons the devil's green cloak and vows never to shave or bathe again.

In conclusion, The most important point that should be taken away from this paragraph is that the Grimms' first collection of fairy tales was a cultural study that was aimed at an academic audience. The  Option D.

Read more about  Grimm Brothers

https://brainly.com/question/28222574

#SPJ1

Answer:

D: The Grimms’ first collection of tales was a cultural study intended for a scholarly audience.

Answer:

715 × 37 = 26,455

Step-by-step explanation:

estimation works really good

Answer: The answer is C 715 times 37 equals 26,455.

Step-by-step explanation: 715 times 37 equals 26,455.

Answer:

y=5x

Step-by-step explanation:

y=kx since they're directly proportional

30=k(6)

K=5

So y=5x