Find the value of x in the proportion 8/9 = x/36

rjkz [21]

Answer:

to solve $3\frac{1}{4} -1\frac{5}{6}$ you would first need to convert them from mixed numbers to improper fractions. You can do this by multiplying the denominator with the whole number and then adding the numerator. Then you should make sure that the denominators are the same. You can do this by first finding a number that they will both multiply into. In this example it is 12. And when changing the denominator you must apply it to the numerator. So if you multiplied the denominator by 3 then you must multiply the numerator by 3. After you can just minus the numerators. However remember to keep the denominator the same. Then you can change it back into a mixed number by dividing the numerator by the denominator and having that whole number on the side of the fraction . lets say it is $\frac{13}{6}$ then you would divide 13 by 6 which is 2 and a decimal and then minus the number that is multiplied by the numerator and it will give a number that is smaller than the denominator and then it would become $2\frac{1}{6}$ .

Step-by-step explanation:

1) Change the fractions to improper fractions.

$\frac{13}{4} -\frac{11}{6}$

2) Change the denominator to a common denominator.

$\frac{39}{12} -\frac{22}{12}$

3) Minus the Numerators.

$\frac{39}{12} -\frac{22}{12}=\frac{17}{12}$

4) Changing it to a mixed number

$=1\frac{5}{12}$

6 0

4 years ago

Read 2 more answers

Solve (x + 2 < 5) ∩ (x - 7 > -6).

garri49 [273]

Let $A=x+2\lt5, B=x-7\gt6$ .

Simplifying both you get $A=x\lt3,B=x\gt1$ .

The set conjunction is $A\cap B=1\lt x\lt3$ .

So the answer is B.

Hope this helps.

3 0

3 years ago

Read 2 more answers

Tyna simplified the expression StartFraction 3 x cubed Over 12 x Superscript negative 2 Baseline EndFraction to StartFraction x

Yuki888 [10]

Answer:

She divided the coefficients incorrectly

Step-by-step explanation:

A. She divided the coefficients incorrectly.

B. She added the exponents instead of subtracting them.

C. She divided the coefficients instead of subtracting them.

D. She subtracted the exponents instead of dividing them.

Correct calculation:

3x³/12x^-2

= 3x³ ÷ 12x^-2

= 3x³ ÷ 1/12x²

= 3x³ × 12x²/1

= 36x^5

Tyna's calculation:

3x³/12x^-2 = x/4

3 0

3 years ago

100% pure gold is 24 karat gold, which is too soft to be made into jewelry most call Jory is 14 karat gold proximally 58% gold 1

denis-greek [22]

Answer:

The amount of gold used in a 200 g 14 gold bracelet is 116 g.

Step-by-step explanation:

Since a 14 karat jewell is stated to have aproximally 58 % of it's weigh in gold we need to take the total weigh of the jewel in question and find that percentage of it's weigh. In order to find that percentage we'll first convert that number into a decimal, we do that by dividing it by 100, so we have 58% = 58/100 = 0.58 we can multiply this value by the weigh of the jewel to find the amount of gold used. So we have:

gold used = total weigh*0.58 = 200*0.58 = 116 g

5 0

3 years ago

In the given figure find the value of the unknown interior angle x in the following figure.

Leto [7]

Answer:

Therefore, the measure of angles x is 55°.

Step-by-step explanation:

From the given figure ,

105° is the exterior angle

x° and 50° are the two interior opposite angles to 105°

We know that

An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles

⇛ x° + 50° = 105°

⇛ x° = 105°-50°

⇛ x° = 55°

Therefore , x = 55°

Exterior Angle:↓

An exterior angle formed by extending the side of a triangle is equal to the sum of the two interior opposite angles.

Hope this helps!!

5 0

3 years ago