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3 years ago

Which set of points represents equivalent ratios and would follow the same pattern on a graph?

Mathematics

1 answer:

Paladinen [302]3 years ago

8 0

(2,4), (4,8), (3,6), (5,10) because they’re all ratios of 1:2

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Ishaan is 3 times as old as Christopher and is also 14 years older than Christopher/10088809/d7a108ae?utm_source=registration

Irina-Kira [14]

X = Ishaan
y = Christopher

3y = x
x = y + 14 Put the first equation into the second.
3y = y + 14
2y = 14
y = 7

Christopher is 7
Ishaan is 21

7 0

3 years ago

What property is illustrated by the statement? 7+(4+4)=(7+4)+4

sergij07 [2.7K]

C cumulative property of multiplication

4 0

3 years ago

Read 2 more answers

Mrs. Speas has $138 in her bank account during Week #1. At the end of each week, she deposits $55 into her bank account. What is

nordsb [41]

The first term is 138

The difference is 55

The iterative rule for the amount of money Mr Speas has after n weeks is

55/2 n² + 221/2 n

During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.

The first term will be 138 .

The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…

The difference = 193 - 138 = 55.

The iterative rule for the amount of money Mr Speas has after n weeks can be represented below

n = number of weeks

a = first term = 138

d = common difference = 55

Using AP formula,

sₙ = n/2(2a + (n - 1)d)

sₙ = n/2 (2(138)+ (n - 1)55)

sₙ = n /2(276 + 55n -55)

sₙ = n /2(221 + 55n)

sₙ = 55/2 n² + 221/2 n

6 0

2 years ago

Read 2 more answers

Find m(angle) ABC 21 132 48 19

Brut [27]

I don't like these algebra problems which pretend to be geometry.

These are supplementary angles adding to 180 degrees; geometry done.

7x - 1 + 3x - 9 = 180

10 x = 190

x = 19

ABC=3x - 9 = 3(19) - 9 = 48

Answer 48°

5 0

3 years ago

Read 2 more answers

Factor completely: 64 - y^3

madam [21]

From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is $4^{3}$ , and $y^{3}$ .

There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.

That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are $a^{3}$ and $b^{3}$ . The difference of those two cubes is:
$a^{3} - b^{3} = (a - b)( a^{2} + ab + b^{2})$

In our problem, a = 4 (since $a^{3}$ = 64) and b = y (since $b^{3} = y^{3}$ . Plug these values into the rule to find the factor of $64 - y^3$ :
$64 - y^3 \\
= (4 - y)( 4^{2} + 4y + y^{2}) \\
= (4 - y)( 16 + 4y + y^{2})$

-----

Answer: $(4 - y)( 16 + 4y + y^{2})$

8 0

3 years ago