Using 1 Ib = 0.45 kg, answer the following questions:
5. A woman buys 2 kg of tomatoes. How many pounds of tomatoes does she buy?

6. Butter is packed in 250 g packs. What will the mass, in pounds, of a pack of butter?

7. A shopper buys 5 Ib of apples. How many kilograms of apples are purchased?

8. A consignment of steel weighing 5 tonnes is delivered to a factory; how many tons of steel are
delivered? (Note: 1 tonne = 1000kg) (metric unit) and (1 ton = 1016 kg)

Answer: 0.15

I don't really know how to show you work on here but you can think about it like this. if 5 x 3 is 15, and if there is a decimal like 0.3 x 0.5 it would result in the answer getting smaller as you're multiplying decimals if that makes sense... so it would result in the answer being 0.15. Sorry if it wasn't a good explanation.

Answer:

(2x-3)(7x-4)

2x(7x-4)-3(7x-4)

14x²-8x+21+12

14x²-8x+33

Answer:

14 x square - 29x + 12

Step-by-step explanation:

(2x - 3)(7x – 4)

14x squared - 8x- 21x + 12

14 x square - 29x + 12

Check the picture below.

Answer: 0.3821

Step-by-step explanation:

Let x be the random variable that represents the wages.

Given: Workers have an average wage of $9.00 per hour with a standard deviation of $0.50.

The probability of obtaining a sample mean less than or equal to $8.85 per hour:

\(P(X<8.85)=P(\dfrac{X-mean}{standard\ deviation}<\dfrac{8.85-9.00}{0.50})\\\\=P(Z<-0.3)\\\\=1-P(0.3)\\\\=1-0.6179\\\\=0.3821\)

The required probability = 0.3821

Answer:

False

Step-by-step explanation:

When a figure is dilated by a scale factor of 4, the new figure produced will be 4 times the size of the original figure. This means that, the size would change while the shape remains the same as the original figure.

Congruent figures must have the same shape and size.

Therefore, the figure produced when a dilation of scale factor of 4 is done is not a congruent figure. Rather, it is a similar figure.

So, get statement is FALSE.

Answer:

C

Step-by-step explanation:

\(\pi = 3.14\)

15.7/5=3.14

Answer:

3)Maria is running a profitable business.

4)Maria’s total revenue exceeds her total profit.

Step-by-step explanation:

The graph shows variation of revenue and cost with respect to price of product and not with respect to time .

The price of the product is 2.30 . From this graph , we see  that at this price revenue exceeds total cost . So maria is running a profitable business .

Total profit can not exceed total revenue as

Total revenue - total cost = total profit .

So total profit will always be less than total revenue .

Answer:

Hope this helps ;)

Step-by-step explanation:

To find the time it takes the T-shirt to reach its maximum height, we need to find the value of t when the velocity of the T-shirt is zero, because at this point the T-shirt has reached its maximum height and starts falling back down. We can find the velocity of the T-shirt by taking the derivative of the height equation with respect to time:

v(t) = h'(t) = 72

The velocity of the T-shirt is a constant 72 feet per second, so it will never reach a velocity of zero and will never reach its maximum height. The T-shirt will keep going up indefinitely.

If the problem had specified that the T-shirt was launched with an initial upward velocity of -72 feet per second (meaning it was launched downward), then we could have found the time it takes the T-shirt to reach its maximum height by setting v(t) = 0 and solving for t. In this case, we would find that t = 1, so it would take the T-shirt 1 second to reach its maximum height. The maximum height would be h(1) = -16 + 72(1) + 6 = 62 feet.

Answer:

6

Step-by-step explanation:

Tell me if I'm right

Answer:

18

Step-by-step explanation:

3 choices from each bag.

3 * 3

Now you have to allow for which bag is chosen first. The order matters.

dime yellow button is different from

yellow button dime

So the answer is 2 * 3 * 3 = 18

Answer:

BC~=AD (GIVEN )

CBA=CDA (altanate angles BC=AD)

C=A (altanate angles (BC=AD)

AAS

brainyliest please

Answer:

10.787

Step-by-step explanation:

Given :

23.3×0.463

After multiplying this equation ,

10.787

Therefore, answer will be 10.787

Answer:

A.

\( x = \frac{7\sqrt{6}{3} \)

\( y = \frac{7\sqrt{6}}{3} \)

Step-by-step explanation:

Reference angle = 60°

Opposite = \( \frac{7\sqrt{2}}{2} \)

Hypotenuse = x

Adjacent = y

✔️To find x, apply the trigonometric function SOH:

Sin 60° = Opp/Hyp

\( sin 60° = \frac{\frac{7\sqrt{2}}{2}}{x} \)

\( \frac{\sqrt{3}}{2} = \frac{\frac{7\sqrt{2}}{2}}{x} \) (sin 60 = √3/2)

\( \frac{\sqrt{3}}{2} = \frac{7\sqrt{2}}{2}*\frac{1}{x} \)

\( \frac{\sqrt{3}}{2} = \frac{7\sqrt{2}}{2x} \)

Cross multiply

\( \sqrt{3}*2x = 7\sqrt{2}*2 \)

\( 2\sqrt{3}*x = 14\sqrt{2} \)

Divide both sides by 2

\( \sqrt{3}*x = 7\sqrt{2} \)

Divide both sides by √3

\( x = \frac{7\sqrt{2}}{\sqrt{3}} \)

Rationalize

\( x = \frac{7\sqrt{2}*\sqrt{3}}{\sqrt{3}*\sqrt{3}} \)

\( x = \frac{7\sqrt{6}{3} \)

✔️To find y, apply the trigonometric function TOA:

Tan 60° = Opp/Adjacent

\( Tan 60° = \frac{\frac{7\sqrt{2}}{2}}{y} \)

\( \sqrt{3} = \frac{\frac{7\sqrt{2}}{2}}{y} \) (tan 60 = √3)

\( \sqrt{3} = \frac{7\sqrt{2}}{2}*\frac{1}{y} \)

\( \sqrt{3} = \frac{7\sqrt{2}}{2y} \)

Cross multiply

\( \sqrt{3}*2y = 7\sqrt{2} \)

\( 2\sqrt{3}*y = 7\sqrt{2} \)

Divide both sides by √3

\( y = \frac{7\sqrt{2}}{\sqrt{3}} \)

Rationalize

\( y = \frac{7\sqrt{2}*\sqrt{3}}{\sqrt{3}*\sqrt{3}} \)

\( y = \frac{7\sqrt{6}}{3} \)

Answer:

y = -2(50) + 20  

y = -100 + 20 = -80

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Given:

The objective is to find the fraction of 3/17% of the quantity.

Consider the quantity as x. The fraction of 3/17% of the quantity can be calculated as,

Hence, the required fraction of quantity is 3/1700 of x.

Answer:

25 workers

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

,

Answer: A keyboard

A keyboard is the right answer because it has keys that like the keys you tap but open no locks it has space between the keys but no room and the enter key is what you can enter to submit something but you can't go in it.

Answer:

The answer is piano

\({ \bf{ \underbrace{Given :}}}\)

Radius of the circle "\(r\)" = 9 in.

\({ \bf{ \underbrace{To\:find:}}}\)

The circumference of the circle.

\({ \bf{ \underbrace{Solution :}}}\)

\(\sf\orange{The\:circumference \:of\:the\:circle\:is\:56.52\:in.}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

We know that,

\(\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }\)

\( = 2 \times 3.14 \times 9 \: in \\ \\ = 56.52 \: in\)

Therefore, the circumference of the circle is 56.52 in.

\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}\)

Answer:

UH WHAT???!

Step-by-step explanation:

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

mean: 14

median: 15

mode: 6, 15, 18

Step-by-step explanation:

For the mean, you add up all the numbers and divide by the number of numbers there are. There are 7 numbers here, so add and divide by 7.

For the median, you line the numbers up from least to greatest.

6, 6, 15, 15, 18, 18, 20

and find the middle number, which is 15.

For the mode, you have to find the number that repeats the most. For this set of numbers, it's 15, 18, and 6. Hope that helps!

Answer:

Mean  = 14

Median = 15

Mode = 6, 18, 15

Step-by-step explanation:

I really hope this helps you. I worked these out however I looked up and did research. I checked out the website too. Check out (calculator soup)

It gives you the answers and explains all the steps.

Answer:

the height of the building is approximately 134 yards

Step-by-step explanation:

Recall that i order to use the arc-length formula:

\(arc\,\,length=R\,\theta\)

we know the radius R, but the angle \(\theta\) must be given in radians. Then we convert \(4.5^o\) to radians, and then use 1700 yards as the radius in the formula.

\(4.5^o*\frac{\pi}{180} =0.07854\)

Therefore, the arc length formula would render:

\(arc\,\,length=R\,\theta\\arc\,\,length=1700\,(0.07854)=133.518\, yards\)

which rounded to the nearest yard becomes: 134 yards

Answer:

≈ 134 yards

Step-by-step explanation:

Arc length formula:

s= rθ

s = arc length (in radians)

r = radius

θ = central angle in radians

-------

Given,

s= 1700 yards

θ= 4.5°, converted to radians: 4.5°*π/180°= 0.0785

So the arc length:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

18+(93-57)

18+(36)

54

Step-by-step explanation:

Multiply before addition.Using bodmas

Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

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Answer:

14. x=30, y=15, z=165

15. x=10, y=25

Step-by-step explanation:

Answer:

1)

x= 30

y=15

z=150

2)

x= 10

y=25

Step-by-step explanation:

1)

2x+90+x=180

3x+90=180

x= 90/3=30

2y= x

2y=30

y= 30/2=15

2y+z= 180

30+z= 180

z= 150  

2)

3x= 5x-20

5x-3x=20

x=20/2=10

2y+4y+ (5x-20) = 180

6y+30= 180

y= 150/6= 25

I hope im right!!

Question A is the survey that you expect to have fair results regarding attitudes about carnivals

This survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.

Option B uses the adjective "exciting," which could lead people to think positively about carnivals.

Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.

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Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

6 round trip visits

Step-by-step explanation:

25 min drive to the store + 3 min to walk in the store + 3 min to walk back to car + 25 min to drive home = 56 total minutes for one round trip.

5 hours and 36 minutes = (5x60)+36 minutes=336 minutes

336 minutes/56 min per trip = 6 round trips