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2 years ago

Apply the distributive property to create an equivalent expression. 6 ( a + 2 b + 3 c ) =

Mathematics

1 answer:

Rashid [163]2 years ago

3 0

Answer: 6

Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c

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Can someone explain the steps for how do solve this?! I can’t get it right

Ulleksa [173]

Answer:

x = 50

m∠D = 150°

m∠F = 30°

Step-by-step explanation:

supplementary angles are two angles whose sum is 180°

∠D + ∠F = 180°

3x + x - 20 = 180

3x + x = 180 + 20

4x = 200

x = 200/4

x = 50

D = 3*50 = 150

∠D = 150°

F = 50 - 20 = 30

∠F = 30°

6 0

2 years ago

To reach a vacation spot, the Jones family first traveled by plane and then drove the

navik [9.2K]

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the distance by plane.

y = x - 125 => x=y+125 Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500 Eqn 2

Putting value of x from Eqn 1;

$(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625$

Putting y=625 in Eqn 1

$x=625+125\\x=750$

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

2 years ago

Find the amount of each payment to be made into a sinking fund which earns 9% compounded quarterly and produces $43 comma 000

Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : $A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]$

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = $A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]$

$43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})$

$43000=A(\frac{(1.0225)^{14}-1}{0.0225})$

43000=A( $\frac{0.365483427}{0.0225})$

43,000 = A(16.243708)

A = $\frac{43000}{16.243708}$

A = $2,647.17883 ≈ $2647.18

5 0

3 years ago

A company has 3,330 meters of canvas to make tents. If

faltersainse [42]

Answer:

740

Step-by-step explanation:

If t represents the number of tents made, then 4.5t represents the amount of canvas needed. We have ...

4.5t = 3330

t = 3330/4.5 = 740

740 tents could be made.

7 0

2 years ago

This box can be packed with 48 units cubes. The edge length of each unit cube is 1 meter. What is the volume of the box?

Dafna1 [17]

48 m³

Step-by-step explanation:

A cube has equal length width and height

A cube in this case has length 1m meaning the width and height are also 1 m each in length.

The volume of the cube is (L * W * H) = 1 * 1 * 1 = 1 m³

If 48 of these can fit in the bigger box, then the bigger box has the volume of;

48 * 1 m³ = 48 m³

Learn More:

For more on volume of a cube check out;

brainly.com/question/7543014

brainly.com/question/9719931

#LearnWithBraily

8 0

2 years ago