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givi [52]
3 years ago
8

Are the following fractions equal: 7/8 and 49/57

Mathematics
1 answer:
amm18123 years ago
6 0

No, they are not equal.

7 • 7 = 49

8 • 7.125 = 57

They are not equivalent fractions.

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Which step was the first error made? -3\left(2x-3\right)=33−3(2x−3)=33 -6x+6=33−6x+6=33 step 1 -6x=27−6x=27 step 2 \frac{\left(-
Afina-wow [57]

Given:

The equation is

-3(2x-3)=33

The incorrect solution steps are given.

To find:

The first error.

Solution:

We have,

-3(2x-3)=33

Using distributive property, we get

-3(2x)-3(-3)=33

-6x+9=33

The given step 1 is -6x+6=33, which is not correct.

Therefore, there is first error in step  1 because the distribution property is not used properly.

Hence, the correct option is D.

6 0
3 years ago
Which of the following statements exemplifies a null hypothesis?
elixir [45]

Answer:

(A) there is no relationship between gender and jury verdicts

Step-by-step explanation:

The null hypothesis is the one in which we assume that there are no relationship between measures.

In this exercise, the only option that assume no relationship between measures(gender and jury verdicts) is

(A) there is no relationship between gender and jury verdicts

5 0
3 years ago
a sequence has a first number of 3 and a half common difference of 4 what is the recursive rule of nth term​
ELEN [110]

Answer:

f(n) = f(n-1) + 8 for n > 1

Step-by-step explanation:

Given

f(1) = 3 -- First Term

\frac{1}{2}d = 4 --- half common difference

Required

Find the recursive rule

First, we calculate the common difference

\frac{1}{2}d = 4

Multiply through by 2

2 * \frac{1}{2}d = 2 * 4

d = 8

The second term of the sequence is:

f(2) = 3 + 8 = 11

The third term is:

f(3) = 11 + 8 = 20

So, we have:

f(1) = 3

f(2) = 3 + 8

Substitute f(1) for 3

f(2) = f(1) + 8

Express 1 as 2 - 1

f(2) = f(2-1) + 8

Substitute n for 2

f(n) = f(n-1) + 8

Similarly:

f(3) = 11 + 8

Substitute f(2) for 11

f(3) = f(2) + 8

Express 2 as 3 - 1

f(3) = f(3-1) + 8

Substitute n for 3

f(n) = f(n-1) + 8

Hence, the recursive is:

f(n) = f(n-1) + 8 for n > 1

8 0
3 years ago
Factor completely. x^3 - y^3
finlep [7]
(x-y)(x^2+xy+y^2)

The first parentheses contain the cubed root of both the terms so x and y respectively. second parentheses follows the formula (a^2 + ab + b^2)
x corresponds to a and y corresponds to b. The signs are what change depending on what the original equation is. Since the original is a subtraction then the signs are -/+/+. you can remember it using the acronym SOAP. (S = same, O = opposite, AP = always positive) So the first sign is x - y (same as subtraction from original), the second and third are x^2 + xy + y^2 (opposite is a plus, and the last sign is always a positive.
8 0
3 years ago
Fill in the blank so that the ordered pair is a solution of y=9x+4 .<br> ( , 22)
aalyn [17]

Answer:

(2,22)

Step by step explanation:

(x,22) is the solution of the equation y=9x+4

9x+4= 22

=>9x= 22-4

=>9x=18

=>x= 2

8 0
3 years ago
Read 2 more answers
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