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3 years ago

(z+6)÷3=(2z)/4 Please solve for z

2 answers:

7 0

(z + 6) / 3 = 2z / 4
this is a proportion, so we cross multiply
(3)(2z) = 4(z + 6)
6z = 4z + 24
6z - 4z = 24
2z = 24
z = 24/2
z = 12 <==

allochka39001 [22]3 years ago

7 0

(z+6)/3=(2z)/4
(z+6)/3=(2(z))/(2(2))
(z+6)/3=(z)/2
2(z+6)=3(z)
2z+12=3z
12=3z-2z
12=z

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Given: △FKL, FK= a<br> m∠F=45°, m∠L=30°<br> Find: FL

mr Goodwill [35]

The sum of angles of a triangle is 180°, so m∠K = 180° -45° -30° = 105°.

The Law of Sines tells you

... FL/sin(∠K) = FK/sin(∠L)

Solving for FL, we get

... FL = FK·sin(∠K)/sin(∠L)

... FL = a·sin(105°)/sin(30°) = a·sin(105°)/(1/2)

... FL = 2a·sin(105°) ≈ 1.93185a

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3 years ago

3/24 in lowest terms

lesya [120]

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7 0

3 years ago

Solve this polynomial:

irina [24]

Answer:

-4r²-3s²

Step-by-step explanation:

Remove unnecessary parentheses:

r²+s²-(5r²+4s²)

Connect like terms:

-4r²+s²-4s²

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-4r²-3s²

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6 0

3 years ago

Read 2 more answers

Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many time

Nana76 [90]

Answer:

Jenny save 4 times $\$ 250$ for the month

Step-by-step explanation:

Given Jenny has saved $\$3,800$ over the last 12 months.

She saved either $\$250$ or $\$350$ a month.

Let the number of months to save $\$250$ be x

Let the number of months to save $\$350$ be y

Total period is 12 month.

$x+y=12 \ \ \ \ equation\ 1$

Jenny has saved $3,800 over the last 12 months.

$250x+350y=3800$

Dividing both side from 50 we get,

$\frac{250}{50}x+\frac{350}{50}y= \frac{3800}{50}$

$5x+7y=76 \ \ \ \ equation\ 2$

Now Multiplying equation 1 by 5 we get,

$5\times(x+y)=5\times 12\\5x+5y=60\ \ \ \ equation \ 3$

Now Subtracting Equation 3 by equation 2 we get,

$(5x+7y=76)-(5x+5y=60)\\2y=16\\y=\frac{16}{2}= 8$

Substituting the value of y in equation 1 we get,

$x+y=12\\x+8=12\\x=12-8\\x=4$

∴ Jenny save 4 Months of $\$ 250$ and 8 Months of $\$ 350$ in a 12 month duration

4 0

3 years ago

Read 2 more answers

What is the slope of a line that passes through the points (5, 6) and (−11, 14)

Mariulka [41]

Answer:

m = -1/2

Step-by-step explanation:

let me know if it helped

(too lazy to write a explanation)

4 0

2 years ago