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Answer:

There are a maximum of 2 peaches in the basket.

Step-by-step explanation:

There are 30 fruits in a basket, all apples and peaches.

If 3 fruits are taken out of the basket, it is said that at least one of the 3 fruits would be an apple.

For this to be possible, it means, picking 3 fruits, at random from the basket guarantees at least 1 of them being an apple.

This means that the maximum number of peaches obtainable from the basket is 2, to guarantee a sure case of the last fruit of 3 selected fruits being an Apple. There has to be a minimum of 28 apples in the basket for this statement to be absolutely non-contestable.

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Answer:

max=2 peaches

Step-by-step explanation:

Answer:

270/1.5=k/5

Step-by-step explanation:

270  km........1.5 h

k       km........5 h

270/1.5=k/5

Answer:

-1

Step-by-step explanation:

So in this case your dividing -3/2 by 9/6

So a strategy I learned was KCF aka. keep change and flip.

Therefore, in this case you keep -3/2

You change the dividing sign into multiply and then you flip 9/6 which makes 6/9.

These leaves us with -3/2 x 6/9

After multiplying, you'll probably get -18/18.

Which leaves us with -1 since if you divide a positive by a negative or a negative by a positive it'll give you a negative number.

Hopefully this helped! :)

Answer:

The person is a about 2m

The height of the person is 0.475m.

The scale factor is the ratio of the size image in scale and original size of the image.

Scale factor= new size/ original size

Here given that the length of the lorry is 9.5 m= 9.5*100 cm= 950 cm

But in scale, the length of the lorry is 10cm

scale factor =new size/ original size= 10/950= 1/95

Similarly for the person height of the person on the scale is given = 2cm

As from above it is clear that

scale factor= 1/95

new size/ original size= 1/95

2/ original size= 1/95

original size= 95/2

original size= 47.5 cm

original size= 47.5/100 m= 0.475 m

Therefore the height of the person is 0.475m.

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Answer:

It is Inaccurate: The angles in the order listed do not correspond. I just took the test

Answer:

Inaccurate. The angles in the order listed do not correspond.

Step-by-step explanation:

I am doing the test rn and I think this is the right answer

Answer:20

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

1/3 because 8/12 + 1/3 is 1 whole

Answer:

1/3

Step-by-step explanation:

The whole chore is 1, or 12/12

Subtracting the fraction of work done by A and B

12/12- 8/12 = 4/12

Which simplifies

4/12 = 1/3

Answer:

B is true

Step-by-step explanation:

5 is a coefficient of x^0

Step-by-step explanation:

3 pairs of flip flops = 14.95 x 3 = 44.85

Total amount spent = 44.85 + 21.50 + 9.99 + 15. 44 = 91.78

After adding tax = 91.78 + 7.34 = 99.12

Mrs B spent 99.12 altogether

Budget = 100

Then money left = 100 - 99.12 = 0.88

Answer:

37.7 pounds

Step-by-step explanation:

Simply subtract 54 (starting weight) by 16.3 (weight at 5 months) = the amount of weight she lost.

Answer:

3/13

Step-by-step explanation:

There are 13 marbles in the bag, 3 of them are yellow, so the probability of yellow marbles being drawn is 3/13

Answer:

8

Step-by-step explanation:

[tex] \frac{2}{3} = \frac{x}{12} \\ x = \frac{2 \times 12}{3} \\ x = 2 \times 4 \\ x = 8[/tex]

Answer:

B) 8

Step-by-step explanation:

Answer:

11, 10, 8, 10, 1

mean - 8

median - 10

mode - 10

12, 10, 16, 28, 15, 29, 26, 16, 1

mean - 17

median- 16

mode - 16

13, 11, 12, 8, 10, 6

mean - 10

median - 10

mode - no mode

9, 12, 5, 9, 14, 5, 7, 8, 9, 2

mean- 8

median- 8.5

mode - 9

mean - add up all numbers then divide that answer by how many numbers there are

median - put all the numbers in order and find the middle number

mode- most frequent number

Answer:

250 turkey sandwiches were delivered.

There were 230 roast beef delivered.

115 PB&J were delivered.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the number of turkey sandwiches.

y is the number of roast beef.

z is the number of PB&J.

Donnie delivered 595 box lunches

This means that [tex]x + y + z = 595[/tex]

There were 20 more turkey sandwiches then roast beef.

This means that [tex]x = y + 20[/tex]

There were twice as many roast beef has PB&J.

This means that [tex]y = 2z[/tex].

So in the second equation, we have that [tex]x = 2z + 20[/tex]

Replacing this in the first equation:

[tex]x + y + z = 595[/tex]

[tex]2z + 20 + 2z + z = 595[/tex]

[tex]5z = 575[/tex]

[tex]z = \frac{575}{5}[/tex]

[tex]z = 115[/tex]

115 PB&J were delivered.

[tex]x = 2z + 20 = 2*115 + 20 = 250[/tex]

250 turkey sandwiches were delivered.

[tex]x = y + 20[/tex]

So

[tex]y = x - 20 = 250 - 20 = 230[/tex]

There were 230 roast beef delivered.

Answer:des

Step-by-step explanation:

Answer:

n = 7

Step-by-step explanation:

Your answers are correct.

For problem 3, we use error estimation:

| (-2)ⁿ⁺¹ / (n+1)! | < 0.01

(2)ⁿ⁺¹ / (n+1)! < 0.01

By trial and error:

If n = 3, (2)ⁿ⁺¹ / (n+1)! = 0.667

If n = 5, (2)ⁿ⁺¹ / (n+1)! = 0.089

If n = 7, (2)ⁿ⁺¹ / (n+1)! = 0.006

The type of function represented in the table is linear.

Let's check the type of function represented in the table.

You can tell if a table is linear by looking at how x and y change. If, as x increases by 1, y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference.

It can also be found by using the linear equation,

y = mx + b

where

Therefore,

The x increases by y and the y increase by a constant rate of 5.

Therefore, the function represented in the table is linear.

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Answer: 4.8 hours.

Step-by-step explanation:

To find how long it would take to travel the same distance at a slower speed, find the speed the car is currently driving at.

Speed is distance over time, or in this case, miles per hour.

360 / 4 = 90 miles per hour.

The car is travelling 15 miles per hour slower, so the new speed is 90 - 15, or 75 miles per hour.

You can now use the same equation to find the time travelled:

360 / x = 75

360 = 75x

Divide both sides by 75 to get your answer:

4.8 = x

It would take the car 4.8 hours to travel the same distance.

Answer:

The average wage in the us increase by about five percent

Step-by-step explanation:

The 1.05 represents the rate of increasing average wages in the US, and it depicts that average wages are increasing by 5 %.

As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given the expression,

[tex]1350(1.05)^t[/tex]

As it is clear that this is the formula for the amount,

[tex]A = P \times (1+r/100)^t[/tex]

Here, the value of the middle expression is 1.05, which can be written as 1 + 5 / 100.

Therefore, it is the rate of increasing wages in the US, and it depicts that the wages are increasing by 5 %.

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Answer:

-44x - 0.48

Step-by-step explanation:

[tex]1.6x-12(3.8x+0.04)\\=1.6x-12\times 3.8x -12\times 0.04\\=1.6x-45.6x -0.48\\=-44x - 0.48[/tex]

Answer:

- The number of small boxes that will fill the large box 1 = 64

- The number of small boxes that will fill the large box 2 = 56

Step-by-step explanation:

Complete Question

Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4.5 inches long, 4.5 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24.25 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20.5 inches long, 18.5 inches wide, and 24 inches tall. Both the small and large boxes must remain upright.

Solution

To know how many of the small boxes will fit in larger boxes, we need to obtain the volumes of the small box, large box 1 and large box 2.

Volume of a cuboid = L × W × H

For the small box,

Length = L = 4.5 inches

Width = W = 4.5 inches

Height = H = 8 inches

Volume of the small box = 4.5 × 4.5 × 8 = 162 in³

For large box 1,

Length = L = 24.25 inches

Width = W = 18 inches

Height = H = 24 inches

Volume of the large box 1 = 24.25 × 18 × 24 = 10,476 in³

For large box 2

Length = L = 20.5 inches

Width = W = 18.5 inches

Height = H = 24 inches

Volume of the large box 2 = 20.5 × 18.5 × 24 = 9,102 in³

The number of small boxes that'll fill the large box 1 = (10,476/162) = 64.667 = 64 small boxes (rounded down because the fraction cannot be forced into the large box 1.

The number of small boxes that will fill the large box 2 = (9,102/162) = 56.185 = 56 small boxes.

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Answer:

c.2(x+1)^2=128

Step-by-step explanation:

The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

2(x + 1)² + 6 = 134

Simplify the equation, then we have

2(x + 1)² + 6 = 134

2(x + 1)² = 128

(x + 1)² = 128 / 2

(x + 1)² = 64

Take square root on both sides. Then we have

(x + 1) = ± 8

x = - 1 ± 8

x = - 1 - 8, - 1 + 8

x = - 9, 7

The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.

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Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The Greatest Common Factor of two numbers is the largest whole number that goes into both of them. To find it, we can lay out all the factors of each number and pick the largest one.

Factors of 16: 1, 2, 4, 8, 16

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The largest number that shows up on both lists of factors is 8, so the GCF of 16 and 72 is 8.

Answer:

10 ft

Step-by-step explanation:

V = l*w*h

560 = 7*8 *u

560 = 56u

divide each side by 56

560/56 = 56u/56

10 =u

Answer:

Expressions B, D and E

Step-by-step explanation:

Here, we are to select which of the options is correct.

Let’s put in mind that they bought earn $12 per hour

x represents the number of hours Tina worked this week; the total amount of money she made would thus be x * 12 = $12x

Remembering that she made $46 overtime, the total amount of money she made that we would be $12x + 46

The total amount Tammy made, earning $12 per hour and working for y hours = $12 * y = $12y

The total amount of money both made is thus;

12x + 46 + 12y

= $(12x + 12y + 46)

Now, we have similar expressions in the question;

These are; expression B, expression D and expression E

While expression B is straightforward, the others are not

expression D is gotten by factoring out 12; 12x + 12y + 46 = 12(x + y) + 46

expression E just involved putting what each of the two earned in brackets

Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

A = P(1 + r/n)nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

  84

Step-by-step explanation:

The least common multiple of 3, 4, and 7 is 3·4·7 = 84.

There were 84 candies in the bag.

Answer:

60

Step-by-step explanation:

find the missing angle in triangle HAI =60.

VERTICALLY OPPOSITE ANGLES ARE EQUAL.=60

Angle x is alternating with the angle.

Answer:

[tex]x = 60 \: \: degrees[/tex]

Step-by-step explanation:

[tex]61 + 59 + y = 180 \\ 120 + y = 180 \\ y = 180 - 120 \\ y = 60 \: \: degrees[/tex]

[tex]y = x(corresponding \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: angles) \\ 60 = 60 \\ \\ [/tex]

[tex]x = 60 \: \: degrees[/tex]