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3 years ago

Which is greater 7/3 or 5/2? How do you know

2 answers:

6 0

In order to understand which one is greater, you need to make the denominator on both fractions equal.

7/3 (2)= 14/6
5/2 (3)= 15/6

Since 15/6 is greater than 14/6:

5/2 is the greater fraction.
Hope this helps!!!

labwork [276]3 years ago

5 0

You need to get the denominator at the same number first. The Lowest common denominator is 6. So multiple 7/3 by 2 and 5/2 by 3 to get 14/6 and 15/6. 15/6 is greater. 15/6 is 5/2, so the answer is 5/2. I hope this helps!

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Without graphing, is the system independent, dependent, inconsistent? {12x=3y=12 y=-4x+5

Alla [95]

Okay so you out them into the form of y=mx+b. since equation 2 is already like that you need to do it to equation 1. which is y=-4x+4. graph both equations. if it has a solution (1 point where the two lines meet) it is consistantly and independent. if they are parallel lines and the solution is 0 the system is inconsistent and the lines are dependent. if it's the same line they are consistent and dependent. the line is not the same since the y intercept is different. the slope is the same though which tells us its parallel. so the system has a solution of 0 and is inconsistent and the lines are independent.

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3 years ago

Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rests for 27 minutes In 3 hours. How long di

NeX [460]

Set up a ratio and solve for the missing value:

$\frac{27}{3} =\frac{x}{5}\\x = \frac{(27)(5)}{3}\\x = 45$

The couple rested for 45 minutes in 5 hours.

4 0

3 years ago

Luke grew some carrots in his garden. Their weights, in grams, are listed below.

Arisa [49]

Answer:

The bottom right histogram is the correct one.

Step-by-step explanation:

Carrots weight 40-49 kg = 2

... of weight 50-59 = 6

... of weight 60-69 = 4

.. of weight 70-79 = 1

8 0

2 years ago

PLEASE HELP ME!!!!!!

Nata [24]

9514 1404 393

Answer:

vertex: (2, -3.2)

axis of symmetry: x = 2

zeros: x=0, x=4

formula for axis of symmetry:

x = <x-coordinate of vertex>
x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +c
x = average of zeros, (z1 +z2)/2

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

x = 2

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

x = h . . . . . . equation of axis of symmetry

8 0

2 years ago

A strand of bacteria has a doubling time of 15 minutes. If the population starts with 10 organisms, how long would it take for t

slamgirl [31]

In 90 minutes the population to grow to 700 organisms.

Given that,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

We have to determine,

How long would it take for the population to grow to 700 organisms?

According to the question,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

In 15 minutes strand of bacteria has a doubling time the population starts with 10 organisms.

$\rm = 10 \times 2 = 20 \ bacteria$

In 15 minutes 20 bacteria for the population to grow.

In 30 minutes strand of bacteria has a doubling time the population starts with 20 organisms.

$\rm = 20 \times 2 = 40 \ bacteria$

In 30 minutes 40 bacteria for the population to grow.

In 45 minutes strand of bacteria has a doubling time the population starts with 40 organisms.

$\rm = 40 \times 2 = 80 \ bacteria$

In 45 minutes 80 bacteria for the population to grow.

In 60 minutes strand of bacteria has a doubling time the population starts with 80 organisms.

$\rm = 80 \times 2 = 160 \ bacteria$

In 60 minutes 160 bacteria for the population to grow.

In 75 minutes strand of bacteria has a doubling time the population starts with 160 organisms.

$\rm = 160 \times 2 = 320 \ bacteria$

In 75 minutes 320 bacteria for the population to grow.

In 90 minutes strand of bacteria has a doubling time the population starts with 320 organisms.

$\rm = 320 \times 2 = 640 \ bacteria$

In 90 minutes 640 bacteria for the population to grow.

In 120 minutes strand of bacteria has a doubling time the population starts with 640 organisms.

$\rm = 640 \times 2 = 1280 \ bacteria$

In 120 minutes 1280 bacteria for the population to grow.

Hence, In 90 minutes the population to grow to 700 organisms.

For more details refer to the link given below.

brainly.com/question/3188472

3 0

2 years ago

Read 2 more answers