3. Marcelle can buy 3 pounds of potatoes for $2.19. How much will 5 pounds cost her?​

Answer:

£2.6

Step-by-step explanation:

Given data

3 packs of potatoes costing £3 each= 3*3= £9

3 packs of carrots for £2 per pack= 3*2= £6

4 turnips costing 60p each= 4* 0.60= £2.4

Hence the total cost = 9+6+2.4= £17.4

Hence the change will be 20-17.4

= £2.6

Rounding the weight to the nearest gram, Xander's hedgehog weighs approximately 281 grams.

Choosing the unit for converting pounds to grammes is the first step.

1 pound = 453.592 grams

To convert pounds to grams, we can use the conversion factor that 1 pound is equal to approximately 453.592 grams.

So, to convert Xander's hedgehog weight from pounds to grams:

Weight in grams = 0.62 pounds * 453.592 grams/pound

Weight in grams ≈ 281.415 grams

Rounding the weight to the nearest gram, the weight of Xander's hedgehog will be approximately 281 grams.

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This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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The quantity 2.67 × 10³ m/s has three significant figures because the digits 2, 6, and 7 are all significant, and the exponent 3, which represents the power of 10, is not considered a significant figure.

Scientists use significant figures to indicate the level of accuracy and precision of a measurement. The significant figures are the reliable digits that are known with certainty, plus one uncertain digit that has been estimated or measured with some degree of uncertainty. In determining the significant figures of a number, the following rules are applied: All non-zero digits are significant.

For example, the number 345 has three significant figures. Zeroes that are in between two significant figures are significant. For example, the number 5004 has four significant figures. Zeroes that are at the beginning of a number are not significant. For example, the number 0.0034 has two significant figures. Zeroes that are at the end of a number and to the right of a decimal point are significant. For example, the number 10.00 has four significant figures.

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Answer:

32

Step-by-step explanation:

Answer:

(V - u) / a = t

Step-by-step explanation:

Here's the formula solved for t

V = u + at

V - u = at

(V - u) / a = t

So this is solved

The probability of not getting any aces when dealt a hand of three cards from a deck is approximately 0.782 or 78.2%.

In a standard deck of 52 cards, there are four aces. When dealt a hand of three cards, we want to find the probability of not getting any aces.

The total number of possible outcomes is given by the number of ways to choose three cards out of 52, which can be calculated using combinations. Therefore, the total number of possible outcomes is C(52, 3) = 22,100.

To determine the number of favorable outcomes, we need to count the number of hands without any aces. Since there are four aces in the deck, there are 48 non-ace cards. Therefore, the number of favorable outcomes is C(48, 3) = 17,296.

Finally, the probability of not getting any aces can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes = 17,296 / 22,100 ≈ 0.782 or 78.2%.

Hence, the probability of not getting any aces when dealt a hand of three cards from a deck is approximately 0.782 or 78.2%.

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Answer:

-6.3

Step-by-step explanation:

You can do it on calculator.

SOLUTION

Step 1 : We need to recognize the value of x in 5 places means 5 x

and the value of 1 in 6 times means 6,

so we have that: 5 x + 6 = 1 .

Step 2 : We need the linear equation: 5 x + 6 = 1

collecting like terms, we have that:

5 x = 1 - 6

5 x = - 5

Divide both sides by 5 , we have that:

x = - 1

CONCLUSION : The value of x = -1 ( OPTION B )

The measure of arc JML is -46/17.

To find the measure of arc JML, we need to equate it to the measure of angle JKL.

Given:

Measure of JKL = 8x - 6

Measure of JML = 25x - 13

Since angle JKL and arc JML correspond to each other, they have the same measure.

Therefore, we can set up the equation:

8x - 6 = 25x - 13

Next, we solve for x:

8x - 25x = -13 + 6

-17x = -7

x = -7 / -17

x = 7/17

Now, substitute the value of x back into the equation for the measure of JML:

Measure of JML = 25x - 13

Measure of JML = 25 × (7/17) - 13

Measure of JML = (175/17) - (221/17)

Measure of JML = -46/17

Therefore, the measure of arc JML is -46/17.

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Answer:

42045.6 in³

Step-by-step explanation:

The approximate size of the cover that Maria will need to buy is 45. 84 square feet

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

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Answer:

It would take her 25.2 minutes

Step-by-step explanation:

6 divided by 5 gives you the 1.2 minutes

Then I would do 1.2 minutes for each lap  * 21 laps = 25.2 minutes

Answer:G

Explination:

Marianne is incorrect because like terms are terms that have the same variables, raised to the same powers. The terms –x and 2x fit the definition for like terms. The term –x has a coefficient of –1. Marianne is not correct

Answer:

Marianne is incorrect. 2x has the coefficient 2, but -x is the same as -1x.  That means the coefficient is -1.

Answer: 208

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

The LCM of 14 and 21 is 42. This is the smallest number that can be divided by both 14 and 42 without leaving a remainder

Add 1 to this so that we get a remainder of 1 when divided by 14 or 21

   __4__
14)  43
      42
-------------
         1  
43 ÷ 14 => quotient 4 and remainder 1

   __2__
21)  43
      42
-------------
         1  

43 ÷ 21 => quotient 2 and remainder 1

When the exercise asks to describe the likelihood of the event using the probabilities means that taking into account that the probabilities are numbers between 0 and 1, see if the events are likely or not to happen.

For a soft drink, which has a 0.80 probability is a likely event that could happen because it is greater to the middle (0.5) but is not so close to 1.

For a daily special, which has a 0.25 probability is more and unlikely event that could still happen but its not so common to.

For dessert, which has a probability of 0.5 probability is neither a likely nor unlike event because the probability is really close to the middle.

For appetizer, which has a probability of 0.06 probability is more an unlikely/impossible event because the probability is so small and close to 0 that it is not common to happen at all.

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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Answer:

X < 10  
where X is the weight of the package in pounds

The package should weigh less than 10 pounds for Ship4U to be the cheaper option

Step-by-step explanation

Let the weight of the package be X pounds

Cost of shipping by Post Office = 9 + 0.5X

Cost of shipping by Ship4U = 6 + 0.8X

For Ship4U to be the cheaper option
6 + 0.8X < 9 + 0.5X

Subtract 6 on both sides and subtract 0.5X from both sides:
0.8X - 0.5X < 9 - 6
0.3X < 3

Divide by 0.3 on both sides
0.3X/0.3 < 3/0.3

X < 10

The package should weigh less than 10 pounds for Ship4U to be the cheaper option

At a weight of 10 pounds, both shipping costs are the same
Post Office cost for 10lb package = 9 + 0.5(10) = 9 + 5 = $14
Ship4U cost for 10lb package = 6 + 0.8(10) = 6 + 8 = $14

SOLUTION

In a right angle triangle, the hypotenuse is always the side opposite the right angle

Hence, from the image given,

Apply pythagoras rule i.e the square of the hypotenuse side is equal to the sum of squares of the other two sides“

we have

Simplify the expression above

Take the square root of both sides

Hence

The missig side in the triangle is √17in

Answer: √17in

384,000 bacteria would be present at the end of 7 hours if it doubles itself every hour.

Initial number of bacteria=3000

Number of bacteria at the end = initial number of bacteria * (base)ⁿ

where, n= number of hours

Number of bacteria at the end=3000*2⁷

                                                    =3000*128

                                                     =384,000

Therefore, there will be 384000 bacteria at the end of seven hour if the bacteria doubles itself every hour.

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Answer:

Jesse's cards are 3, -5, 9, and -6. The problem is asking for the total, so you would add them up:

Step-by-step explanation:

Start at 0. Adding a positive integer is simple addition. Add 3 to get 3.

Adding a negative integer is like subtraction: 3 + (-5) = 3 - 5 = -2.

Add 9, taking 9 steps forward, on the number line, to get 7.

Add -6, by subtracting 6, to get 1.

Jesse's total score is 1.

---

As for part 2, Jesse getting two more cards, which don't affect his final score ...

Either he got two zeroes, or he got two cards with opposite signs, but equal magnitudes, such as 1 and -1.

The sign of a number is whether it is positive or negative. The magnitude (absolute value) of a number is how far that number is from zero. The magnitude of a number is NEVER negative.

The two cards do not affect Jesse's point total, because their effects cancel each other out. For example, a 1 would move him one step forward, on the number line, and a -1 would move him one step backward, on the number line.

Answer:

4m-8

Step-by-step explanation:

answer

Answer:

4m - 8

Step-by-step explanation:

Given expression,

→ m - (8 - 3m)

Simplifying the expression,

→ m - (8 - 3m)

→ m - 8 + 3m

→ 4m - 8

→ 4(m - 2)

Hence, answer is 4m - 8.

Answer:

A . 496 ft²

Step-by-step explanation:

Area = ½ × base × height

= ½ × 62 × 16

=496 ft²

The value of x in the chord intersection is 16 units.

The intersecting chord theorem  states that the products of the lengths of the line segments on each chord are equal. In other words, If two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.

Therefore, lets find the value of x in the intersecting chords as follows:

15 × x = 24 × 10

15x = 240

divide both sides of the equation by 15

x = 240 / 15

x = 16

Therefore,

x = 16 units

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Answer:

Check out the graph

An expression equivalent to 2 4/8 is 5/2.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both.

To simplify the expression 2 4/8, we can convert the mixed number into an improper fraction and then simplify further if needed.

2 4/8 can be rewritten as 2 + 4/8.

First, let's convert the mixed number into an improper fraction:

2 + 4/8 = (2 * 8 + 4)/8 = 16/8 + 4/8 = 20/8

Now, let's simplify the fraction:

20/8 = 10/4 = 5/2

Therefore, an expression equivalent to 2 4/8 is 5/2.

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keeping in mind that two dozen cookies is just 24 cookies, then

\(\begin{array}{ccll} eggs&cookies\\ \cline{1-2} 3 & 24\\ x& 2 \end{array} \implies \cfrac{3}{x}=\cfrac{24}{2}\implies \cfrac{3}{x}=12\implies 3=12x \\\\\\ \cfrac{3}{12}=x\implies \cfrac{1}{4}=x\)