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3 years ago

Solve in simplest form 15 3/5 - 3 2/7

Mathematics

1 answer:

artcher [175]3 years ago

6 0

Answer:

12 11/35

Step-by-step explanation:

Given Data

First term= 15 3/5

To simple fracrion= 78/5

Second term= 3 2/7

To simple fracrion= 23/7

Hence the operation goes thus

= 78/5- 23/7

LCM = 35

=546-115/35

=431/35

=12 11/35

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Jack has two jars of wax. One jar is 1/6 full. The other jar is 4/6 full. Write an equation to find the amount of wax Jack has.

Solnce55 [7]

Answer:

1/6 + 4/6 = 5/6

Step-by-step explanation:

I hope this helped

5 0

3 years ago

Through: (-5, -5), slope=2/5

kakasveta [241]

For this case we have that by definition, the equation of a line in the slope-intersection form is:

$y = mx + b$

Where:

m: It is the slope

b: It is the cut point with the y axis

The slope is: $m = \frac {2} {5}$

Thus, the equation is of the form:

$y = \frac {2} {5} x + b$

We substitute the given point and find "b":

$-5 = \frac {2} {5} (- 5) + b\\-5 = -2 + b\\-5 + 2 = b\\b = -3$

Finally, the equation is:

$y = \frac {2} {5} x-3$

Answer:

$y = \frac {2} {5} x-3$

4 0

3 years ago

5 Find 6 in Surface Area

iVinArrow [24]

Answer:

8 x 6 = 48

48 divided by 2 = 24

24 x 2 = 48

10 x 12 = 120

120 x 2 = 240

8 x 12 = 96

Add all given areas:

48 + 96 + 240 = 384 in2 is your answer.

3 0

2 years ago

Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0

3 years ago

Find value of x and y

tatyana61 [14]

Step-by-step explanation:

x = 144 ( corresponding angle)

y = 180- 144 ( linear pair)

y= 36°

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3 years ago