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Kazeer [188]
3 years ago
11

use the lowest common denominator to subtract the following fractions. Give the final answer in simplest terms. 5 13/15 - 1 2/3=

Mathematics
1 answer:
Brut [27]3 years ago
3 0

The given expression is

5 \frac{13}{15} -1 \frac{2}{3}

First we write them in improper fraction. That is

= \frac{5*15+13}{15} - \frac{1*3+2}{3}

= \frac{88}{15} - \frac{5}{3}

And the LCD is 15 here.

\frac{88-25}{15} = \frac{63}{15}

Which can be reduced to

= \frac{21}{5} = 4 \frac{1}{5}

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HELP…this is probably easy…but still help.
andreev551 [17]

Answer:

A) The parallelogram is a rhombus

Step-by-step explanation:

A rhombus is an equally 4-sided figure with two acute angles and two obtuse angles opposite of each other.

4 0
2 years ago
if you flipped a coin 20 times, in percentage how many times do you expect the coin to land on heads, an how many times on tails
djyliett [7]

Answer:

50% head and 50% tails.

Step-by-step explanation:

A coin only has two sides to flip on and is equally probably flip heads or tails. If you flipped the coin 20 times you could expect to flip 10 heads and 10 tails.

8 0
2 years ago
How can I solve 4x^2 + 12x > -x -3
Damm [24]

He have the following:

4x^2+12x>-x-3​

solving:

\begin{gathered} 4x^2+12x+x+3>-x-3+x+3​ \\ 4x^2+13x+3>0 \\ \text{factoring} \\ (4x+1)(x+3)>0 \\ (4x+1)>0\rightarrow4x+1-1>-1\rightarrow\frac{4x}{4}>-\frac{1}{4}\rightarrow x>-\frac{1}{4} \\ (x+3)

5 0
10 months ago
Suppose you start with a full tank of gas (14 gallons) in your truck. After driving 4 hours, you now have 2
Alex73 [517]

Answer:

  a) -3 gallons per hour

  b) y = -3x +14

Step-by-step explanation:

Rate of change is computed by dividing the amount of change by the interval over which it occurred.

<h3>a)</h3>

Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.

__

<h3>b)</h3>

The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...

  y = -3x +14 . . . . gas in the tank after x hours

4 0
2 years ago
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x-y=
Bond [772]

Answer:

The system of linear equations has infinitely many solutions

Step-by-step explanation:

Let's modified the equations and find the answer.

Using the first equation:

2x-y=5 we can multiply by 2 in both sides, obtaining:

2*(2x-y)=2*5 which can by simplified as:

4x-2y=10 which is equal to:

4x=2y+10

Considering the second equation:

=4x+ky=2

Taking into account that from the first equation we know that: 4x=2y+10, we can express the second equation as:

2y+10+ky=2, which can be simplified as:

(2+k)y=2-10

(2+k)y=-8

y=-8/(2+k)

Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:

2+k=0 if k=-2

This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.

For example, if k=0 then

y=-8/(2+0) which give us y=-4, and, because:

4x=2y+10 if y=-4 then x=(-8+10)/4=0.5

Now let's try with k=-1, then:

y=-8/(2-1) which give us y=-8, and, because:

4x=2y+10 if y=-8 then x=(-16+10)/4=-1.5.

Then, the system of linear equations has infinitely many solutions

8 0
3 years ago
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