All categories

3 years ago

Subtract and simplify your answer. 7/18-2/9

Mathematics

2 answers:

s344n2d4d5 [400]3 years ago

4 0

Answer:

1/6.

Step-by-step explanation:

7/18−2/9=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(7/18, 2/9) = 18

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(7/18×11)−(2/9×22)=?

Complete the multiplication and the equation becomes

7/18−4/18=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

7−4/18=3/18

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 18 using

GCF(3,18) = 3

3÷3/18÷3=1/6

Therefore:

7/18−2/9=1/6

bixtya [17]3 years ago

3 0

Answer:

Step-by-step explanation:

7/18-2/9=7/18-4/18=3/18=1/6

You might be interested in

HELP PLEASE!!! I need help with this question!

AlexFokin [52]

Answer:

$\large\boxed{PS=10\sqrt5}$

Step-by-step explanation:

ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:

$\dfrac{QR}{RP}=\dfrac{RP}{RS}$

We have:

$QR=5,\ RS=20$

Substitute:

$\dfrac{5}{RP}=\dfrc{RP}{20}$ <em>cross multiply</em>

$RP^2=(5)(20)\\\\RP^2=100\to RP=\sqrt{100}\\\\RP=10$

Use the Pythagorean theorem:

$PS^2=PR^2+RS^2$

Substitute:

$PS^2=10^2+20^2\\\\PS^2=100+400\\\\PS^2=500\to PS=\sqrt{500}\\\\PS=\sqrt{100\cdot5}\\\\PS=\sqrt{100}\cdot\sqrt5\\\\PS=10\sqrt5$

6 0

3 years ago

What is the exponential form of the logarithmic equation?<br> 5 = logo.9 0.59049

galina1969 [7]

^ means to the power of or exponent

logb(x) = y is b^y = x

5 0

3 years ago

Read 2 more answers

Use the model to solve for x.

Vitek1552 [10]

Answer:No solution
Explanation: There is no solution because x was eliminated in the last step of solving for x. Since we were left with x not being available to equal three, it shows it’s a no solution problem. Hope this helped!

4 0

2 years ago

Square root for 9/100

Leno4ka [110]

$\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0.\\\\\sqrt{\dfrac{9}{100}}=\dfrac{\sqrt9}{\sqrt{100}}=\dfrac{3}{10}$

5 0

3 years ago

Factor completely 3x^2+9x-3<br>3(x^2+3)<br>3(x^2+3-1)<br>3x(x^2+3x-1)<br>prime

Firdavs [7]

Answer:

Answer from the answer data to choose from

Factor completely

$3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)$

Step-by-step explanation:

$3x^2+9x-3=(3)(x^2)+(3)(3x)-(3)(1)\\\\=(3)(x^2+3x-1)\\\\\text{For}\ x^2+3x-1\ \text{use the quadratic formula}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x^2+3x-1\to a=1,\ b=3,\ c=-1\\\\x=\dfrac{-3\pm\sqrt{3^2-4(1)(-1)}}{2(1)}=\dfrac{-3\pm\sqrt{9+4}}{2}=\dfrac{-3\pm\sqrt{13}}{2}=-\dfrac{3\pm\sqrt{13}}{2}\\\\3x^2+9x-3=3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)$

4 0

3 years ago