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erma4kov [3.2K]
3 years ago
8

Laura has 30 cupcakes she wants to give each friend 1/6 of her cupcakes how many cupcakes will Each friend get

Mathematics
2 answers:
sdas [7]3 years ago
7 0

Answer:

5 cupcakes

Step-by-step explanation:

=1x 30/ 6

=5

I hope it helps

Thank U

Mariana [72]3 years ago
5 0

Answer:

No Of cup cakes laura has : 30

No of c Cupcakes She wants to give her friends:1/6

Cupcakes each friend got : 30 × 1/6

: 5

There fore Number of cupcakes each friend gets: 5 Cupcakes

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Which of the following is true regarding the solutions to the logarithmic equation below? 2 log Subscript 6 Baseline (x) = 2. lo
Serggg [28]

Option c: x=6 is a true solution and x=-6 is an extraneous solution.

Explanation:

The equation is 2 \log _{6} x=2

Dividing both sides of the equation by 2, we get,

\frac{2 \log _{6}(x)}{2}=\frac{2}{2}

Simplifying,

\log _{6}(x)=1

Since, we know by the logarithmic definition, if \log _{a}(b)=c, then b=a^{c}

Using this definition, we have,

x=6^{1}

Hence, x=6

Now, let us verify if x=6 is the solution.

Substitute x=6 in the equation 2 \log _{6} x=2 to see whether both sides of the equation are true.

We have,

2 \log _{6}(6)

Using the log rule, \log _{a}(a)=1

We have,

2*1=2

Hence, both sides of the equation are equal.

Thus, x=6 is the true solution.

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Find the distance CD rounded to the nearest tenth<br> C=(10,-1) and D=(-6,3)
Fynjy0 [20]

Answer:

CD = 16.5

Step-by-step explanation:

To find the distance between two points, use this formula: L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }

point C can be info set 1: (10, -1)    x₁ = 10   y₁ = -1

point D can be info set 2: (-6, 3)    x₂ = -6  y₂ = 3

Substitute the information into the formula

L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }

CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }    Simplify inside each bracket

CD = \sqrt{(-16)^{2}+(4)^{2} }    Square the numbers

CD = \sqrt{256+16 }     Add inside the root

CD = \sqrt{272}    Enter into calculator

CD = 16.5  Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.

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3 years ago
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