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Checking the side limits of the function f(x), we find that they are equal, so there is a limit of f(x) as x approaches 4

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Answer: 7.2 hours

Step-by-step explanation:

the interval for each number on the number line is 2.4 because 12 divide by 5 intervals = 2.4

and 2.4 x 3 = 7.2

First you need to find out how long it takes to cook a single kilogram of meat, by doing 12/5 you get 2.4 for one kilo of meat. Now you need to multiply 2.4 by 3 and you will get 7.2, so you can either put 7.2 hours or that converts to 7 hours and 12 minutes.

She will spend 5 dollars extra if she only buys packs of 3 tickets.

A numerical expression is written in form of numbers and their operations.

According to the given question we can buy 15 tickets in two ways either buying 5 packs which contain 3 tickets and cost 6.25 dollars each pack or we can buy 3 packs which contain 5 tickets which costs 8.75 dollars.

For the first case if we buy 5 packs of tickets that contain 3 tickets it will cost (5×6.25) dollars = 31.25 dollars.

In the second case buying 3 packs of tickets that contain 5 tickets that will cost us (3×8.75) = 26.25 dollars.

∴ She will spend (31.25 - 26.25) = 5 dollars she will spend extra if she only buys packs of 3 tickets.

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The cases that would be shipped is 4.

The first step is to convert pounds to ounce

1 pound = 16 ounce

16 x 72 = 1152 ounces

The next step is to determine how many boxes would be needed.

Boxes needed = 1152 / 12 = 96 boxes

The third step is to determine the number of cases that would be shipped.

Cases that would be shipped = 96 /24 = 4

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Answer:7 x 10 ^1 is the right answer

Step-by-step explanation:

Hope this helps :)

There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.

To determine the number of times smaller is the bacterial cell than the amoeba cell.

⇒ amoeba cell / bacterial cell

⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m

Apply the division operation, and we get

⇒ 0.7 × 10⁻⁴ × 10⁶

Adding the exponents of the above terms

⇒ 0.7 × 10⁻⁴⁺⁶

⇒ 0.7 × 10²

⇒ 7 × 10¹

Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.

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Answer: -72 I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Distribute the numbers outside of the parenthesis to the numbers inside the parenthesis. This means multiple the outside number to all the numbers that are inside the parenthesis:
-5+25k-8k-20

2) Combine the like terms. The number with k get combined together since they both have a k. The numbers without a k get combined together. When you combine, you ADD the numbers together.

-13k+5

That should be right!

Answer:

21.6 miles

Step-by-step explanation:

59-15.5-21.9= 21.6

or

21.6+15.5+21.9= 59

Answer:

12 days for Bailey

2.4 days for Andrew

Step-by-step explanation:

If Andrew is 5 times as fast, then Andrew + Bailey are 6 times as fast as Bailey alone.

That means Bailey would take 2*6 = 12 days to paint alone.

Since Andrew is 5 times faster, he'd only take 12/5 = 2.4 days.

The function g(x) is (|x-4| +1)/3.

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Answer: 848000

Step-by-step explanation:

(2 x 10³) x (4 x 106)

⇒2000 * 424
⇒ 848000

Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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Answer:

Put S=(1,-10) R(-10,-8) T(-8,-9) Make sure to put a ´ after these letters when you put them down

Step-by-step explanation:

So probability that kayla rolls an even number on the red cube and a multiple of 3 on the blue cube is 16.66 ≈ 16%

Given that we have red number cube and blue number cube so as we all know that Probability is the ratio of the favourable number of outcomes to the total number of outcomes is known as Probability.

First, find the possible outcomes.

Kalya has a red number cube and a blue number cube. Each number cube has faces labeled 1 through 6

So, possible outcomes =6×6 =36

Let, S be the sample space.

Then, ⁿ(s) =36

Let, E = the event of getting an even number on the red cube and a multiple of  on the blue cube.

E = (2,3),(2,6),(4,3),(6,3),(6,6)

Then,  ⁿ(E)=6

Let, P  is the probability of the event .

So, P(E)= [tex]\frac{n(E)}{n(S)}[/tex] = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex] = 16.67 percent or 16[tex]\frac{2}{3}[/tex]  %

Thus, the probability Kayla rolls an even number on the red cube and a multiple of  on the blue cube is 16.66 percent.

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Answer:

16%

Step-by-step explanation:

Let the terms be a, ar, ar², ...

The sum to infinity being 27 means that:

[tex]\frac{a}{1-r}=27 \implies a=27(1-r)[/tex]

The sum of the first two terms being 15 means:

[tex]a+ar=15 \\ \\ (27-27r)+r(27-27r)=15 \\ \\ 27-27r+27r-27r^2 =15 \\ \\ 27r^2 -12=0 \\ \\ 27r^2 =12 \\ \\ r^2=\frac{12}{27}[/tex]

Since all the terms are positive, r>0.

[tex]\boxed{r=\frac{2}{3}} \\ \\ \implies a=27\left(1-\frac{2}{3} \right)=\boxed{9}[/tex]

The area of the drawing of the park is 64 cm²;

Scale: Square park to Drawing = 5m:1cm

                                                 = 5m:0.01m;

Therefore; Square Park Area = 1600m²;

                 Drawing Area = 1600 ×(0.01/5)²

                                        = 0.0064m² = 64 cm²

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Answer:

$258

Step-by-step explanation:

y = mx + b  

m is the miles and y is the total cost

y = .1(800) + 250

y = 8 + 250

y = 258

a) The greatest common factor is 3. And the result is 3 × (6 + 7).

b) The greatest common factor is 7. And the result is 7 × (8 + 5).

In this question we must find the greatest common factor, that is, the maximum integer with which can be divided the two number, and take advantage of this result to simplify the sum of the same two numbers, if possible.

First, we proceed to determine the required results for each of the two cases:

18 = 2 × 3 × 3

21 = 3 × 7

Then, the greatest common factor is 3. The complete procedure is:

18 + 21 = 2 × 3 × 3 + 3 × 7 = 3 × (6 + 7)

56 = 2³ × 7

35 = 5 × 7

Then, the greatest common factor is 7. The complete procedure is:

56 + 35 = 2³ × 7 + 5 × 7 = 7 × (8 + 5)

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The greatest possible containers required by Kiara is 4.

The number of oatmeal and chocolate chip cookies in each container is 3 and 4 respectively.

For the given question;

The total number of oatmeal cookies = 12.

The total number of chocolate chip cookies = 16.

Taking the HCF of 12 and 16 (the largest multiple pf 12 and 16).

HCF = 4.

Thus, the number of boxes requires is 4.

The oat place in one box is 3. In 4 boxes it will be 12.

Similarly, the chocolate chip cookies placed in one box is 4. In 4 boxes it will be 16.

Thus, the oat placed in each box is 3 and the chocolate chip cookies placed is 4.

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Answer:

x + 8 = 53

Step-by-step explanation:

x + 8 = 53

8 more than x is x + 8 because ur adding 8 more to x. And that is equal to 53 because it literally says IS EQUAL to 53. therefore.

to solve isolate x by subtracting 8 from both side so:

x = 53-8

x = 45

Answer:

(-1.5,0)

Step-by-step explanation:

Find the average for the x and y values.

x = [tex]\frac{(-5+ 2)}{2}[/tex] = [tex]\frac{-3}{2}[/tex] or  -1.5

y = [tex]\frac{(5- 5)}{2}[/tex]  = [tex]\frac{0}{2}[/tex] = 0

Answer:

A packet of nuts costs $2.70

Step-by-step explanation:

Let C represent the cost of a bar of chocolate and P represent the cost of a packet of nuts

4 bars of chocolate will cost $4C

1 packet of nuts costs $P

Total price Sandra paid is $11.50

This can be represented using

4C + P = 11.50    (1)

A bar of chocolate costs $0.50 less than a packet of nuts. So

P - C =0.50  

-C + P = 0.50   (2)

Multiply eq (2) by 4 to get

-4C + 4P = 4 x 0.50

-4C + 4P = 2   (3)

Add equations (1) and (3) to eliminate the 4C term

4C + P - 4C + 4P = 11.50 + 2

P+4P = 13.50

5P = 13.50

Dividing by 5 on both sides

5P/5 = 13.50/5

P = 2.70

So a packet of nuts costs $2.70  (Answer)

To verify this is correct,

Use equation (2) to get

-C + P = 0.50

-C + 2.70 = 0.50

Add C to both sides

-C + 2.70 + C = 0.50 + C

2.70 = 0.50 + C

Subtract 0.50 from both sides

2.70-0.50 = 0.50 + C - 0.50

2.20 = C which is C= 2.20

Plug this value into equation (1)

4(2.20) + 2.70 = 8.80 + 2.70 = 11.50

So verified that answers are correct

Answer:

the answer is two because ur multiplying hope this helps

The z-score of the baby's height is -2.0.

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The values in percentages will be 37.7% and the maximum will be: 45.3%

From the information, the approximately 41.5% of city residents prefer local businesses over national chains and the survey had a margin of error of ±3.8%.

Therefore, the minimum number will be:

= 41.5% - 3.8%

= 37.7%

The maximum will be:

= 41.5% + 3.8%

= 45.3%

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Answe

G=1.5

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Both fractions simplify to 1/5 and thus are equivalent

Answer:

f(6) = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

substitute x = 6 into f(x)

f(6) = [tex]\frac{6^2-4(6)}{20}[/tex] = [tex]\frac{36-24}{20}[/tex] = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]

Answer:

102°

Step-by-step explanation:

540° ÷ 5 = 108° (sum of angles in a 5-sided figure = 540°)

360° ÷ 4 = 90° (sum of angles in a square = 360°)

180° ÷ 3 = 60° (sun of angles in a triangle = 180°)

360° - 108° - 90° - 60° = 102° (angles at a point add up to 360°)

x = 102°

(Do note that dividing the sum of angles by the number of sides is only applicable if all sides are equal.)

Hope this helps! ^^

Answer: H=2A/B

H=12 cm

Step-by-step explanation:

A = 1/2BH

2A=BH

H=2A/B

H=2(90)/15

H=180/15

H=12 cm

The height of the triangle is 12 cm.

To solve the formula A = (1/2)BH for H, we need to isolate the variable H.

A = (1/2)BH

Multiply both sides of the equation by 2 to eliminate the fraction:

2A = BH

To solve for H, divide both sides of the equation by B:

H = 2A / B

Now we have the formula for H in terms of A and B.

To find the height of a triangle with an area of 90 cm² and a base of 15 cm, we can substitute these values into the formula:

H = 2(90) / 15

H = 180 / 15

H = 12 cm

Therefore, the height of the triangle is 12 cm.

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