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2 years ago

5 3/5 divided 2 2/3 jlll

Mathematics

1 answer:

Naddik [55]2 years ago

3 0

Answer:

7/1 or 7.

Step-by-step explanation:

Turn 2 2/3 into an improper fraction:

$2\frac{2}{3} =\frac{3}{3} +\frac{3}{3}+\frac{2}{3}=\frac{8}{3}$

Turn 5 3/5 into an improper fraction:

$5\frac{3}{5} =\frac{5}{5} +\frac{5}{5} +\frac{5}{5} +\frac{5}{5} +\frac{5}{5} +\frac{3}{5} = \frac{28}{3}$

Find the reciprocal (opposite) of 8/3, then multiply:

$\frac{28}{3} \times\frac{3}{8} =\frac{84}{24}$

Divide 84/24 by 12:

$\frac{84\div12}{12\div12} = \frac{7}{1}$

Your simplified answer is 7/1, or 7.

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Which of the following is an arithmetic sequence?

gladu [14]

Answer:

A. 3, 0, -3, -6

Step-by-step explanation:

The sequence with constant first differences is an arithmetic sequence. The sequence of A has a common difference of -3, so is an arithmetic sequence.

6 0

3 years ago

Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y<35x−1.5 y>35x−1.5

Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

$\boxed{ \mathsf{ \red{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1}) }}}$

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is (0, -1.5) which lies on the y axis(the point where the dotted line touches the y axis)

other point is (2.5, 0) and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

$\mathsf{\implies y - ( - 1.5) = \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}$

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

$\mathsf{\implies (y + 1.5) = \frac{0 + 1.5}{2.5 } (x )}$

$\mathsf{\implies y + 1.5 = \frac{ 1.5}{2.5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ 3}{5 } x }$

multiplying both sides by 5

$\mathsf{5y + 7.5 = 3x}$

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

replacing x and y with 0

$\mathsf{\implies5(0) + 7.5 = 3(0)}$

$\mathsf{\implies0 + 7.5 = 0}$

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

$\mathsf{\implies7.5 > 0}$

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

$\mathsf{5y + 7.5 > 3x}$

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

that is the last option

5 0

3 years ago

What is a possible solution for x+6≥10

ira [324]

Answer:

4,5,6

Step-by-step explanation:

*The sign of ≥ means that it must be greater or equal to 10 in this case

1). 3 isn't a possible solution due to 9 being less than 10

3+6_10

9_10

9<10

2). 4 is a possible solution due to the sum of 4 and 6 being equal to 10

4+6_10

10_10

10=10

3). 5 is a possible solution due to the sum of 5 and 6 being larger than 10

5+6_10

11_10

11>10

4).6 is a possible solution due to the sum of 6 and 6 being larger than 10

6+6_10

12_10

12>10

Hope this helped! (:

6 0

3 years ago

Hey I need help with this question thanks for people who can help me and have a good day could you include explanation

Aleks04 [339]

Answer:

Step-by-step explanation:

Formula

$B = 25(\frac{M}{10} +\frac{3}{4} )$

Where M meters of granola makes B granola bars.

Given:

M = 2.5 meters

Now substitute that value in the formula and calculate.

$B=25(\frac{2.5}{10} +\frac{3}{4} )= 25(1) = 25$

Therefore, 2.5 meters of granola makes 25 granola bars.

B = 25

5 0

2 years ago

Todd buys 3 CDs at $16.99 each and a DVD that costs $24.99. He pays

VikaD [51]

Answer:

$24.04

Step-by-step explanation:

3 x $16.99 = $50.97

1 x $24.99 = $24.99

$24.99 + $50.97 = $75.96

$100 - $75.96 = $24.04

5 0

2 years ago

Read 2 more answers