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Bad White [126]
3 years ago
7

The Following steps are used to rewrite the polynomial expression 3(x+4y) + 5(2x-y)

Mathematics
1 answer:
Papessa [141]3 years ago
6 0
Let's solve this problem step by step.

1. First of all we have this equation:

3(x + 4y) + 5(2x - y)

2. Let's apply distributive property:

3x+12y + 10x - 5y

3. Let's order this expression according to the variables:

3x + 10x + 12y-5y

4. Let's sum equal terms:

13x + 7y

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If 1 droplet of water falls from a pipe every 10 seconds. How many droplets of water would have fallen from the pipe in 10 minut
Svet_ta [14]

Answer:

60

Step-by-step explanation:

6 0
3 years ago
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Determine the number of terms, n, given the geometric series 1 3 9 27 ... and sn=3280.
lina2011 [118]

The number of terms, 'n' is 8

<h3 /><h3>How to determine the number of terms</h3>

Let's determine the common ratio;

common ratio, r = 3/1 = 3

The formula for sum of geometric series with 'r' greater than 1 is given as;  Sn = a( r^n - 1) / (r - 1)

n is unknown

Sn = 3280

Substitute the value

3280 = 1 ( 3^n - 1) / 3- 1

3280 = 3^n -1 /2

Cross multiply

3280 × 2 = 3^n - 1

6560 + 1 = 3^n

6561 = 3^n

This could be represented as;

3^8 = 3^n

like coefficient cancels out

n = 8

Thus, the number of terms, 'n' is 8

Learn more about geometric series here:

brainly.com/question/24643676

#SPJ1

5 0
1 year ago
Can someone help answer at least one? :) ty
Vika [28.1K]

Answer:

Step-by-step explanation:

a). Ratio of OP and RT = \frac{OP}{RT}

                                     = \frac{12}{3.6}

                                     = \frac{10}{3}

b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.

    \frac{OQ}{RS}=\frac{OP}{RT}

    \frac{OQ}{4.5}=\frac{10}{3}

    OQ = \frac{10\times 4.5}{3}

    OQ = 15 cm

c). m∠P = m∠T = 60°

d). m∠Q = m∠S

    By applying angle sum theorem in ΔRST,

    m∠R + m∠S + m∠T = 180°

    26° + m∠S + 60° = 180°

    m∠S = 180° - 86°

             = 94°

    Therefore, m∠Q = m∠S = 94°

3 0
3 years ago
If a person sees 7 pennies, 6 Nickels, 4 dimes, and 6 Quarters, and he picks 1 of each, how many different combos can there be?
kompoz [17]
Well there really wouldn't be a combo since everything is different so I'm saying nun? that's what I'm going with. ( If this is wrong correct me )
3 0
3 years ago
It costs $2.55 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 140% of the cos
gulaghasi [49]
The answer is $3.57 because you must multiply 2.55 by 140 then divide that by 100 to find your answer hope this helps.
8 0
3 years ago
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