Which tank is filling most quickly?
Choose 1 answer:

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

The null and alternative hypothesis is that null states that mean score is 518 but alternative is stating that its higher than 518

According to the question,

The mean score on SAT math reasoning exam = 518

The company claims that mean score is higher than 518

So,

Answer 1 . The null and alternative hypothesis is :

Under H0 : The mean score is equal to 518

i.e. μ = 518

Under H1 : The mean score is greater than 518

(right - tailed test) μ > 518

Answer 2. We don't have enough information to come to the conclusion about rejection or acceptation of null hypothesis But we have given that According to sample data mean score is 518. So, we will accept the null hypothesis

Answer3. The mean score is 522 that is higher than 518

But we are accept the null , causing Type I error

Similarly , Try to solve all the parts

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The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Answer: c

Step-by-step explanation:

The value of x in the similar triangle is 6 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:

Hence,

5 / 40 = x / 48

48 × 5 = 40x

240 = 40x

divide both sides by 40

x = 240 / 40

x = 6

Therefore,

x = 6

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Answer: T=3xy

Step-by-step explanation:

Answer:

T=3xy

Step-by-step explanation:

Answer:

Step-by-step explanation:

Q=+5414x=5

Answer:

8 lions

Step-by-step explanation:

We need to subtract!!

14 - 6 = 8

Have an amazing day!!

Please rate and mark brainliest!!

Step-by-step explanation:

let the number of penguins be X and the number of lions be Y. then X=14 and since there are more penguins than lions the equation will be X=Y+6

Substitute 14 instead of X. 14=Y+6

and now shift 6 to the left 14-6=Y

then the answer should be 8lions

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

\(n^2 -3n - 6\)

Step-by-step explanation:

Looking at the image attached, you must first work out the difference between each term. This is +0, +2, +4, +6, +8, +10 (shown in orange).

Because you now have a linear sequence, the difference is now the same each time. This is +2 (shown in blue).

Because the original sequence is a quadratic, you have to halve the second difference (the +2). This means that the value of \(n^2\) is 1, so 1\(n^2\) or just \(n^2\) .

If you write out the values of \(n^2\), you can work out how much more you need to add or take away. For example, take the first three terms in the sequence.

n = 1, 2, 3

x = -8, -8, -6

\(n^2\) = 1, 4, 9

Work out the difference between \(n^2\) and x:

1 - -8 = 9

4 - -8 = 12

9 - -6 = 15

This gives you yet another linear sequence, 9, 12, 15.

Working out the formula for this, the difference is 3 each time, so it is 3n. The first value of n is 1, so 3n is 1. The difference is 6, so the formula for this linear sequence is 3n + 6.

Because \(n^2\) is greater than x, you need to take 3n + 6 away from \(n^2\).

This gives \(n^2\) - (3n+6), so the final answer is:

\(n^2\) - 3n - 6.

Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=\(\frac{9}{3}\)

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

The garden club is planting fruit trees in their school's garden, and they have two types of trees: one large tree that needs a lot of fertilizer and several newly planted trees that need a much smaller amount of fertilizer. The large tree requires 5 pounds of fertilizer.

which is a significant amount compared to the smaller trees, which only need 0.5 pounds of fertilizer each.

The reason for the difference in fertilizer requirements is due to the size and age of the trees. The large tree is likely fully grown and mature, and therefore requires a substantial amount of fertilizer to support its growth and fruit production. The younger and smaller newly planted trees, on the other hand, need much less fertilizer since they are still growing and developing.

Providing the proper amount of fertilizer is crucial to ensuring healthy tree growth and fruit production, which is why the garden club is treating the larger tree differently than the smaller ones. By giving each tree the proper amount of fertilizer necessary for their growth stage, the garden club is helping ensure the success of their fruit tree planting project and ultimately helping to contribute to the schools' educational and environmental goals.

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Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

From the question, we have the following parameters that can be used in our computation:

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{7A - 42}}}}}\)

Step-by-step explanation:

\( \sf{7(A \: - 6)}\)

Distribute 7 through the parentheses

\( \longmapsto{ \sf{7 \: ∗ \: A \: - 7 \: ∗ \: 6}}\)

\( \longmapsto{ \sf{7A \: - 42}}\)

Hope I helped!

Best regards ! :D

~TheAnimeGirl

Answer:

A, about 9.4 units

Step-by-step explanation:

Answer:

A. About 9.4 units

Step-by-step explanation:

Answer:

\(24\pi \: {cm}^{2} \)

Step-by-step explanation:

Given:

A cone

h (height) = 4 cm

r (radius) = 3 cm

Find: A (surface area) - ?

In order to find the surface area, we have to know the length of the slant height first (use the Pythagorean theorem):

\( {l}^{2} = {r}^{2} + {h}^{2} \)

\( { l}^{2} = {3}^{2} + {4}^{2} = 9 + 16 = 25\)

\(l > 0\)

\(l = \sqrt{25} = 5 \: cm\)

Now, we can find the surface area:

\(a(surface) = \pi {r}^{2} + \pi \times r \times l\)

\(a(surface) = \pi \times {3}^{2} + \pi \times 3 \times 5 = 9\pi + 15\pi = 24\pi \: {cm}^{2} \)

A counterexample to the statement given in this problem is:

Three colinear points.

The statement for this problem is given as follows:

You can connect any three points to form a triangle.

This statement is false, as for example, three points on a line do not form a function.

The counterexample is the statement that proves that a conjecture(another statement) is false, hence the first option is the correct option in the context of this problem.

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Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

Answer: x= 28

Step-by-step explanation:

18=28-10

18=18

Answer:

GRAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPPPPPEEEEEEE

Step-by-step explanation:

The restrictions on the width is that it must be between 14.1 yards and 17.3 yards

From the question, we have the following parameters that can be used in our computation:

Area = between 240 yd² and 360 yd²

Also, we have

Length = 1.2 times the width

This means that

l = 1.2w

The area is then calculated as

Area = lw

So, we have

Area = 1.2w²

This means that

240 < 1.2w² < 360

Divide through by 1.2

200 < w² < 300

Take the square roots

14.14 < w < 17.32

Approximate

14.1 < w < 17.3

Hence, the width must be between 14.1 yards and 17.3 yards

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Step-by-step explanation:

I think you made a typo.

the son can never have been older than his father.

so, the ratio of their ages 8 years ago must have been 14:13.

x = father's age now

y = son's age now

x/y = 5/2

x = 5y/2

(x-8)/(y-8) = 14/13

(5y/2 - 8)/(y - 8) = 14/13

5y/2 - 8 = 14(y - 8)/13

5y - 16 = 28(y - 8)/13

65y - 208 = 28y - 224

37y = -16

y = -16/37

a negative age. something is wrong with the numbers in the question. there must be an additional typo.

although it does not make sense, I try now also the 13/14 ratio from 8 years ago :

(5y/2 - 8)/(y - 8) = 13/14

5y/2 - 8 = 13(y - 8)/14

5y - 16 = 26(y - 8)/14

70y - 224 = 26y - 208

44y = 16

y = 16/44 = 4/11 = 0.363636363... years old.

note the age is at least positive, but still dies not make any sense, as 8 year ago this would have still been a negative age.

what could the right numbers have been ?

basing on the current 5/2 ratio, that could mean e.g the father is 40, and the son is 16.

8 years ago that would have been 32/8 = 4/1.

or 50/20 now, 42/12 = 7/2 8 years ago.

or 60/24 now. 52/16 = 13/4 8 years ago. that might be the typo

let's therefore assume the ratio 8 years ago was 13/4.

(5y/2 - 8)/(y - 8) = 13/4

5y/2 - 8 = 13(y - 8)/4

5y - 16 = 26(y - 8)/4

20y - 64 = 26y - 208

144 = 6y

y = 144/6 = 24 years old now.

x = 5y/2 = 5×24/2 = 4×12 = 60 years old now.

so, I believe, the father is now 60 years old the son is now 24 years old.

please pay more attention to copying the right info (numbers, operation symbols, ...). we are not psychics here. although you can see, we are trying very much to be ...

The factory will put 441 cans of soda in 7 cases.

If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.

Given:

Number of flavors = 9

Cans per flavor = 7

Number of cases = 7

To calculate the total number of cans, we can multiply these values:

Total cans = Number of flavors × Cans per flavor × Number of cases

Total cans = 9 × 7 × 7

Total cans = 441

To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).

Hence, the factory will put 441 cans of soda in 7 cases.

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ANSWER

EXPLANATION

We want to solve for x in the figure given.

The given triangle is an isosceles triangle, and so the perpendicular line drawn divides the line into equal halves.

This implies that we now have a right triangle as follows:

Now, we can solve for x using Pythagoras theorem:

Simplify and solve for x:

That is the value of x.

Answer:

3(12 + 7)

Step-by-step explanation:

To find the GCF of 36 and 21, list out their factors.

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

21: 1, 3, 7, 21

The greatest factor which both numbers share is 3.

Therefore, you can factor 36 + 21 as 3(12 + 7)

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in