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Reika [66]
2 years ago
9

Two -thirds of the children in the fourth grade class are girls. If there are 18 girls, what is the total of children in the cla

ss
Mathematics
1 answer:
Yanka [14]2 years ago
4 0
There are 27 children in the class.

18 divided by two equals 9
9 times 3 is 27
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When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.
Scorpion4ik [409]

Answer:

i think n = 4

Step-by-step explanation:

3(n+7) = 33

3n+21 = 33

3n = 12

n = 4

4 0
2 years ago
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Solve each proportion. <br> 8/x+9=2/x-3<br> Please show work.
emmainna [20.7K]


8/x+9-(2/x-3)=0

Step by step solution :


Step 1 :

2
Simplify —
x
Equation at the end of step 1 :

8 2
(— + 9) - (— - 3) = 0
x x
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using x as the denominator :

3 3 • x
3 = — = —————
1 x
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2 - (3 • x) 2 - 3x
——————————— = ——————
x x
Equation at the end of step 2 :

8 (2 - 3x)
(— + 9) - ———————— = 0
x x
Step 3 :

8
Simplify —
x
Equation at the end of step 3 :

8 (2 - 3x)
(— + 9) - ———————— = 0
x x
Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x as the denominator :

9 9 • x
9 = — = —————
1 x
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

8 + 9 • x 9x + 8
————————— = ——————
x x
Equation at the end of step 4 :

(9x + 8) (2 - 3x)
———————— - ———————— = 0
x x
Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(9x+8) - ((2-3x)) 12x + 6
————————————————— = ———————
x x
Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

12x + 6 = 6 • (2x + 1)

Equation at the end of step 6 :

6 • (2x + 1)
———————————— = 0
x
Step 7 :

When a fraction equals zero :

7.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

6•(2x+1)
———————— • x = 0 • x
x
Now, on the left hand side, the x cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
6 • (2x+1) = 0

Equations which are never true :

7.2 Solve : 6 = 0

This equation has no solution.
A a non-zero constant never equals zero.
7 0
3 years ago
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A vertical line has points C, E, F from top to bottom. 2 lines extend from point E. One line extends to point A and another exte
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Answer:

A.D.E

I GOT IT RIGHT IN EDG

7 0
2 years ago
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Sarah is rolling a number cube, numbered 1-6, and recording the number that shows up on each roll.
Fiesta28 [93]

Answer:

C

Step-by-step explanation:

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Event A = getting a 4 on the first roll.

Event B = getting a 4 on the second roll.

True option C: A and B are independent events, because the probability of the first roll will not affect the probability of the second roll.

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3 years ago
Can you draw different functions that have the same x-intercepts and the same domain and range?
iogann1982 [59]
I'm pretty sure the answer is no.  A function looks like this: f(x) = mx + c.  Let's add another function, f(y) = ny + d.  If the x-intercept is the same, we can subtract c and d from their respective equations. f(x) = mx, f(y) = ny. If the domains are the same, then x and y can have the same value, so we divide it out. f(x) = m, f(y) = n.  Finally, if the ranges are the same, the value of f(x) = f(y).  So by the substitution property, m=n.  Since all the variables equal each other, both functions are equal to f(x) = mx+c!  Therefore, they can only be the same function.

Answer: No
3 0
3 years ago
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