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AnnZ [28]
4 years ago
13

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

Mathematics
2 answers:
LekaFEV [45]4 years ago
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:

6

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

3. The area of hexagon IJKLMN is the sum of the area of all triangles:

A_{IJKLMN}=2\cdot \left(\dfrac{3\sqrt{3}}{2}+4\sqrt{3}+6\sqrt{3}\right)=23\sqrt{3}\ un^2

Another way to solve is to find the area of triangle KIM be Heorn's fomula, where all sides KI, KM and IM can be calculated using cosine theorem.

7 0
3 years ago
What is the slope of the line represented by the equation 7 − 14 = −21
ss7ja [257]

Answer:

M=2

Step-by-step explanation:

7 0
3 years ago
6. Use the graph to answer the question below:
aleksandr82 [10.1K]

Answer:

22%

Step-by-step explanation:

total people 300

pistachio 24 people

chocolate 129 people

vanilla 36 people

strawberry 45 people

cookies and cream 66 people

66/300×100=22%

3 0
3 years ago
Read 2 more answers
Find the distance between these two points -7,0) and (-2,-4)
lukranit [14]

Answer:

41

Step-by-step explanation:

Substitute the actual values of the points into the distance formula

6 0
3 years ago
Read 2 more answers
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