A toddler crawled 2 yards, stopped, then continued to crawl 8 more feet. How many feet did he travel in total?

If you substitute all the variables with the number assigned the answer would be 18.

Answer:

Part A. 4ab

Part B. 5pq²

Step-by-step explanation:

Part A). In this part the given expressions are 32a³b², 44ab³, 40a²b

We have to find the greatest common factor of these expressions.

Factors of 32a³b² = 2×2×2×2×2×a×a×a×b×b

Factors of  44ab³ = 2×2×11×a×b×b×b

Factors of 40a²b = 2×2×2×5×a×a×b

So for the the greatest common factor we will choose the common factors (bold letters) of three expressions

GCF = 2×2×a×b = 4ab

Part B). The given expressions are 25p²q³, 15p²q² and [tex]35pq^{4}[/tex]

Factors of 25p²q³ = 5×5×p×p×q×q×q

Factors of 15p²q² = 3×5×p×p×q×q

Factors of [tex]35pq^{4}[/tex] = 5×7×p×q×q×q×q

Therefore greatest common factor will be = 5pq²

Answer:  The correct option is

(A) 4 m/s.

Step-by-step explanation:  We are given that a force of 60 N is exerted on a 15 kg object.

We are to calculate the acceleration that the object undergoes.

From Newton's second law of motion, we have

[tex]F=ma,[/tex] where m is the mass of the object, a is the acceleration and F is the force exerted.

For the given object, we have

F = 60 N  and  m = 15 kg.

So, we get

[tex]F=ma\\\\\Rightarrow 60=15\times a\\\\\Rightarrow a=\dfrac{60}{15}\\\\\Rightarrow a=4.[/tex]

Thus, the required acceleration that the object undergoes is 4 m/sec.

Option (A) is CORRECT.

The probability of selecting a chocolate at random that is either white chocolate with cream filling or dark chocolate with no filling is [tex]\frac{8}{30}[/tex].

Probability is the chance of happening an event or incident.

Given, the box contains 30 chocolates.

The number of chocolates that are white chocolate with cream filling is 5.

Therefore, the probability of selecting a chocolate at random that is white chocolate with cream filling is [tex]= \frac{5}{30}[/tex].

The number of chocolates that are dark chocolate with no filling is 3.

Therefore, the probability of selecting a chocolate at random that is dark chocolate with no filling is [tex]= \frac{3}{30}[/tex].

Now, the probability of selecting a chocolate at random that is either white chocolate with cream filling or dark chocolate with no filling is

[tex]= \frac{5}{30} + \frac{3}{30} \\= \frac{8}{30}[/tex]

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Answer: 11

Step-by-step explanation:

X=(a+b)/2

2x=a+b

B=2+-a

B=2(19)-27

B=3-27

B=11

Hence, the probability that he will receive job is:

                                   1/6

It is given that:

chance of passing a qualifying examination is 2/3=P

and chance of being appointed if he does pass is 1/4=P'

Now, we are asked to find the probability that he will receive the job.

We are asked to find the probability that he will receive the job.

The probability is calculated as:

Probability that he qualify exam×Probability that he is being appointed.

=P×P'

=(2/3)×(1/4)

=1/6

The term describing what a manufacturer spends for goods or services is cost. Cost is the expenses incurred by the manufacturer as a result of his business or undertaking. There are two types of cost of a manufacturer. The cost of goods sold and the operating expenses. The cost of goods sold are those cost incurred directly as a result of manufacturing. The operating expenses are those other expenses not indirectly involved with the manufacture of goods or services.

To calculate the total number of possible outcomes for the photo shoot, you multiply the number of background scenes (12), toy props (36), and outfits (15), which results in 6,480 possible combinations.

The question posed involves determining the number of possible combinations of a background scene, a toy prop, and an outfit in a photo studio with a set number of each option available. To find the total number of possible outcomes, one should multiply the number of choices for each category together. In this case, Anna has 12 different background scenes, 36 toy props, and 15 outfits to choose from.

Therefore, the calculation is as follows:

Number of background scenes: 12

Number of toy props: 36

Number of outfits: 15

By multiplying these numbers, we determine the total number of possible outcomes:

12 (backgrounds) times 36 (props) times 15 (outfits) = 6,480 possible outcomes.

Answer:

6

Step-by-step explanation:

The number of cubic yards of concrete does Joey need to buy is 5 cubic yards.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Given that, a platform has a volume of 135 cubic feet.

One cubic yard is equal to 27 cubic feet.

Now, number of cubic yards

= 135/27

= 5 cubic yards

Therefore, the number of cubic yards of concrete does Joey need to buy is 5 cubic yards.

To learn more about the metric conversion visit:

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"Your question is incomplete, probably the complete question/missing part is:"

A platform has a volume of 135 cubic feet, but the concrete Joey wants to buy is sold by the cubic yard.

How many cubic yards of concrete does Joey need to buy?

Answer:

(The other answer has missing a number.)

The full answer is: $22.85

Answer:

1. always

2. sometimes

Step-by-step explanation:

Two lines are coplanar if they lie in the same plane or in parallel planes. There is  ALWAYS a plane which contains two parallel lines (see first attached image for details).

Two lines that lie in parallel planes are sometimes parallel. For example, see at second image. Planes [tex]\alpha[/tex] and [tex]\beta[/tex] are parallel. Consider pair of lines [tex]a[/tex] and [tex]a_1[/tex] - they are parallel, but if you consider the pair of lines [tex]a[/tex] and [tex]b_1[/tex], you can see they are not parallel.

Answer:

always

sometimes

Step-by-step explanation:

By definition parallel lines are lines in a plane which do not meet, that means, they have to be coplanar. Coplanar means they are included in the same plane. Then, two parallel lines are always coplanar (imagine two parallel lines in a 3d space, there is always a plane that can contain them).

Two lines that lie in parallel planes are sometimes parallel. As stated before, if there is a third plane which contains the two lines, they can be parallel or cannot, but if there is no plane which contains them, they are not parallel.

Answer:

y = sin(4x) + 3

Step-by-step explanation:

Answer:The mode, or most commonly occurring number in this data set, would be 4. Mara, therefore, has mostly fiction titles in her car.

Step-by-step explanation:

The lim t>infinity P(t) is 5,000, which is the carrying capacity of the species.

The logistic differential equation dP/dt = P(2-(P/5000)) models the population growth of a species. To find the lim t>infinity P(t), we need to find the stable population when t becomes very large. In this equation, the population growth rate is initially exponential, but as the population approaches its carrying capacity (Q), the growth rate slows down and levels off to zero.

Solving the differential equation, we find that the equation represents logistic growth. The solution to the equation is P(t) = Q / (1 + (Q/Po)e^(-rt)), where Po is the initial population, Q is the carrying capacity, and r is the growth rate.

In this case, the initial population is given as 3,000. To find the carrying capacity (Q), we set dP/dt = 0 and solve for P. Substituting the values into the equation, we find Q = 5,000.

As t becomes very large, e^(-rt) approaches 0, and the equation simplifies to P(t) = Q. Therefore, the lim t>infinity P(t) is 5,000, which is the carrying capacity of the species.

Step 2 can be justified using the Multiplication Property of Equality. This property states that if we multiply or divide both sides of an inequality by the same number, the inequality will still hold true.

Step 2 can be justified using the Multiplication Property of Equality. This property states that if we multiply or divide both sides of an inequality by the same number, the inequality will still hold true.

In this case, Jax divided both sides of the inequality by 3. This is a valid step because dividing both sides of the inequality by a positive number does not change the inequality. So, by dividing both sides by 3, Jax found that x > -1.