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melomori [17]
3 years ago
12

Which equation uses the distributive property to show 6 × 78 = 468? A) 6 + (70 × 8) = 468 B) 6 × (70 + 8) = 468 C) 6 + (70 + 8)

= 468 D) 6 × (70 × 8) = 468
Mathematics
2 answers:
Nesterboy [21]3 years ago
7 0

Answer:

b

Step-by-step explanation:

you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468

kolbaska11 [484]3 years ago
4 0

Answer:

B

Step-by-step explanation:

literally the only equivalent equation

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What is 6 as a percent?
mr Goodwill [35]

6 as a percent is 600%.

6 0
3 years ago
Andrea, Justin, and Virginia went to an office supply store. Andrea bought 6 pencils, 7 markers, and 8 erasers. Her total was $1
olga2289 [7]

Answer:

x=0.25\,,\,y=1.75\,,\,z=0.25

Step-by-step explanation:

Let x,y,z denotes number of pencils, markers, erasers respectively.

For Andrea:

6x+7y+8z=15.75\,\,\,(i)

For Justin:

6x+8y+5z=16.75\,\,\,(ii)

For Virginia:

5x+5y+7z=11.75\,\,\,(iii)

On subtracting equations (i) and (ii), we get

(6x+7y+8z)-(6x+8y+5z)=15.75-16.75\\-y+3z=-1\\y-3z=1\\y=1+3z

Put y=1+3z in equation (i)

6x+7(1+3z)+8z=15.75\\6x+29z=8.75\,\,\,(iv)

Put y=1+3z in equation (iii)

5x+5(1+3z)+7z=11.75\\5x+22z=6.75\,\,\,(v)

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

5(6x+29z)-6(5x+22z)=5(8.75)-6(6.75)\\13z=3.25\\z=\frac{3.25}{13}=0.25

Put z=0.25 in equation y=1+3z

y=1+3(0.25)=1.75

Put y=1.75\,,\,z=0.25 in equation (i)

6x+7(1.75)+8(0.25)=15.75\\6x+12.25+2=15.75\\6x=1.5\\x=0.25

8 0
3 years ago
Which expression is equivalent to (82)−4
jok3333 [9.3K]

Answer:

82*-4 or

41*-8

Step-by-step explanation:

because math

4 0
2 years ago
Line GJ is tangent to point A at point G.<br><br> If AG = 9 and GJ = 12, find AJ.
kompoz [17]
GJ is a tangent
АG is a radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point   ⇒ m∠АGJ = 90°  ⇒ ΔАGJ is the right triangle.

<span>By the Pythagorean theorem:
</span>AJ² = АG² + GJ²
AJ² = 9² + 12² = 81 + 144 = 225
AJ = √225 = 15 units.
4 0
3 years ago
Read 2 more answers
2 divided by 1 and 6/7
ale4655 [162]

This problem, as written, requires a bit of guessing regarding your intentions.  My interpretation is that you want to do this division:


    2

----------

 1  6/7

If that's correct, here's what to do:  rewrite 1  6/7 as 13/7 (an improper fraction).

Then divide:

   2

--------      This is equivalent to the multiplication (2/1)(7/13) = 14/13 (answer)

 13/7

8 0
3 years ago
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