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2 years ago

4(2x + 3) ÷ 5y

Mathematics

1 answer:

ololo11 [35]2 years ago

6 0

Step-by-step explanation:

We do the brackets first, following BODMAS rules

so, 4× 5x ÷ 5y = 1xy.

= 4 × 1xy

= 4xy.

I guess that's the answer.

Example Of:-

Sum:

2x + 7y

term: 

5x + 7 = 5x and 7 are terms.

product:

2a × 3b

factor: 

always remember, a number is a factor of itself.

5x + 7y

factors = 5 + x + 5x + 7 + y + 7y.

Quotient: 

10d ÷ 5j = 2dj

coefficient: 

In the number 3x, 3 is the coefficient of x.

but, in the number x (raise to) 2, the coefficient is 1.

$hope \: it \: helps \: you$

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3 years ago

Write the series using summation notation. 4 + 8 + 12 + 16 + 20+ . . . + 80

zhannawk [14.2K]

Answer:

$\sum ^{20} _{n \to \11} 4n$

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

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4 + 8 + 12 + 16 + 20+ . . . + 80 = $\sum ^{20} _{n \to \11} 4n$

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3 years ago

Please help

iren2701 [21]

For question 1:
1% = 120 ÷ 100 = 1.2
15% = 1.2 × 15 = 18
So, 15% of 120 is 18

For question 2:
68.4 ÷ 72 = 0.95
0.95 × 100 = 95%
So, the percentage is 95%

For question 3,
1% = 12.5 ÷ 8 = 1.5625
100% = 1.5625 × 100 = 156.25
So, 8% of 12.5 is 156.25.

For question 4,
1% = 48 ÷ 40 = 1.2
100% = 1.2 × 100 = 120
So, 40% of 48 is 120.

For question 5,
1% = 195 ÷ 100 = 1.95
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3 years ago

Which of the following has no effect on the monthly payment?

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3 years ago

What’s the equation for (8,2)(0,0)

Kay [80]

Answer: y=4x

Step-by-step explanation:

We will make use of the slope intercept form to solve this question:

First of all, we have to calculate the slope from the 2 points (8,2) and (0,0).

We know that the formula for the slope is: m = (y2 - y1) / (x2 - x1)

From the question, y2 = 0, y1 =2, x1 =8 and x2 = 0.

Therefore, slope (m) = (0 - 2)/(0 - 8)

This gives us m = 2/8 and simplified further to 1/4.

The slope intercept form of the equation is y = mx + c where "m" is the slope.

Therefore substituting the value of 1/4 for "m" in the equation, we get;

y = (x/4) + c

Now to get the value of "c",let's substitute the value of x and y from the first intercept of (8,2).

We get; 2 = (8/4) + c

; 2 = 2 + c

Subtract 2 from both sides to get c = 0.

Also, when we use the value of x and y from the second intercept (0,0), we get the same value of c=0

Therefore the equation for the 2 points are y = 4x + 0 which gives y=4x

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