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4 years ago

Evaluate the expression 2m+2n if m=9 and n=3

Mathematics

2 answers:

tatuchka [14]4 years ago

4 0

Just substitute each number in for the variables: 9 for m and 3 for n.

2m+2n
= 2(9)+2(3)
= 18+6
= 24

VashaNatasha [74]4 years ago

4 0

Substitute m and n values into the expression.
2(9)+2(3)
18+6= 24
24 is your answer.

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The episodes of a TV program are each 40 minutes long. Phill watches four episodes together. How long is he watching TV for ? Gi

Oxana [17]

Answer:

He is watching TV for 2 hours and 40 minutes.

Step-by-step explanation:

We are given that the episodes of a TV program are each 40 minutes long. Phill watches four episodes together.

As it is stated that the length of each episode of a TV program is 40 minutes, so the length of four episodes is given by;

1 episode = 40 minutes

4 episodes = 4 $\times$ 40

= 160 minutes

So, the length of four episodes together is 160 minutes.

Now, we have to convert the time in hours and minutes;

As we know that 1 hour = 60 minutes

160 minutes = 120 minutes + 40 minutes

= 2 hours + 40 minutes

Hence, the length of four episodes together is 2 hours and 40 minutes.

6 0

4 years ago

allsm [11]

Answer:

$\boxed{\text{15.8 cords}}$

Step-by-step explanation:

Step 1. Calculate the volume of the room

V = lwh = 5 yd × 5 yd × 3 yd = 75 yd³

Step 2. Convert cubic yards to cubic feet

3 ft = 1 yd

$V = \text{75 yd}^{3} \times \left(\dfrac{\text{3 ft}}{\text{1 yd}} \right)^{3} = \text{2025 ft}^{3}$

Step 3. Convert cubic feet to cords

128 ft³ = 1 cord

$V = \text{2025 ft}^{3} \times \dfrac{\text{1 cord}}{\text{ 128 ft}^{3}} = \textbf{15.8 cords}\\\\\text{You could fit }\boxed{\textbf{15.8 cords}} \text{ of wood into the room.}$

3 0

3 years ago

If f(x)=-3x+4 and g(x)=2, solve for the value of x for which f(x) = g(x) is true.

svp [43]

If f(x) = g(x), -3x+4 = 2, -3x = -2, x = 2/3

8 0

4 years ago

Indicate a general rule for the nh term of this sequence.<br> 12a, 15a, 18a, 21a, 24a,...

adelina 88 [10]

Answer:

The general rule for the nth term of this sequence will be:

$a_n=3na+9a$

Step-by-step explanation:

Given the sequence

12a, 15a, 18a, 21a, 24a,...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

Here,

a₁ = 12a

computing the differences of all the adjacent terms

d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a

using the nth term formula

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = 12a, d = 3a

$a_n=12a+\left(n-1\right)3a$

$=12a+3na-3a$

$=3na+9a$

Therefore, the general rule for the nth term of this sequence will be:

$a_n=3na+9a$

6 0

3 years ago

Help me with this two problems please.

artcher [175]

I'm not sure about these answers sorry

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