Twelve more than six times a number is eight times the same number. What is the number?

2 answers:

4 0

Let x = the number

6x + 12 = 8x

Subtract 6x on both sides of equation.

12 = 2x

Divide both sides of equation by 2.

6 = x

The number is 6.

alex41 [277]4 years ago

4 0

Answer:

Step-by-step explanation:

6x + 12 = 8x

12 = 2x

6 = x

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Each day Marisa runs the same distance. She ran 35 miles in the last 5 days. What is the unit rate?

Fudgin [204]

Answer:

7 miles

Step-by-step explanation:

As, we will take unit rate as "x"

So, for one day = x distance

For 5 days = 5(x)

For 5 days she covered 35 miles

So therefore,

5(x) = 35 miles

X= 35/5

X=7 miles

For a day= 7 miles are covered

4 0

4 years ago

Please help?

Mazyrski [523]

Answer:

$23\sqrt{3}\ un^2$

Step-by-step explanation:

Connect points I and K, K and M, M and I.

1. Find the area of triangles IJK, KLM and MNI:

$A_{\triangle IJK}=\dfrac{1}{2}\cdot IJ\cdot JK\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 2\cdot 3\cdot \dfrac{\sqrt{3}}{2}=\dfrac{3\sqrt{3}}{2}\ un^2\\ \\ \\A_{\triangle KLM}=\dfrac{1}{2}\cdot KL\cdot LM\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 8\cdot 2\cdot \dfrac{\sqrt{3}}{2}=4\sqrt{3}\ un^2\\ \\ \\A_{\triangle MNI}=\dfrac{1}{2}\cdot MN\cdot NI\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 3\cdot 8\cdot \dfrac{\sqrt{3}}{2}=6\sqrt{3}\ un^2\\ \\ \\$

2. Note that

$A_{\triangle IJK}=A_{\triangle IAK}=\dfrac{3\sqrt{3}}{2}\ un^2 \\ \\ \\A_{\triangle KLM}=A_{\triangle KAM}=4\sqrt{3}\ un^2 \\ \\ \\A_{\triangle MNI}=A_{\triangle MAI}=6\sqrt{3}\ un^2$