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3 years ago

10

2. Based on the table below, determine the exponential function being used. Use x as your variable. Then, evaluate this expressi

on for x=7.

1 answer:

Ostrovityanka [42]3 years ago

4 0

Answer:

$y=5^{x}\\y=5^{7}=78125$

Step-by-step explanation:

$y = a^{x}, a=5\\y=5^{x}\\y=5^{0}=1\\y=5^{1}=5\\y=5^{2}=25\\y=5^{3}=125\\and\\y=5^{7} = 78125$

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Beatrice built about 1/3 of a sandcastle. Linda built 4/7 of the same castle. What fraction of the sandcastle did they build tog

wlad13 [49]

Answer

Find out the what fraction of the sandcastle did they build together .

To prove

Let us assume that the fraction of the sandcastle they build together be x .

As given

$Beatrice\ built\ about\ \frac{1}{3}\ of\ a\ sandcastle.$

$Linda\ built\ \frac{4}{7}\ of\ the\ same\ castle.$

Than the equation becomes

$x = \frac{1}{3} +\frac{4}{7}$

L.C .M of (3,7) = 21

solving

$x = \frac{7 + 3\times4}{21}$

$x = \frac{19}{21}$

Therefore the fraction of the sandcastle did they build together be

$x = \frac{19}{21}$

Hence proved

4 0

3 years ago

10% of 65 pls help and explain the steps to get total answer

sergij07 [2.7K]

10% of 65
Of means multiply
=0.1 x 65
=6.5

Or you can use another way which is (part/whole) *(percent/100)

Whole=65
Percent=10
And part(part of 65)=unknown

(X/65)* (10/100)
Cross multiply
x= 6.5

So 10% of 65 is 6.5

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2 years ago

Which of the following regular polygons circumscribed about a circle provides the best estimate for the area of that circle?

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2 years ago

A pair of parallel lines is cut by a transversal. One of the angles formed measures 58°.

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There are three more angles with the same measure. A pair of corresponding angles and a pair of vertical angles.

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3 years ago

Read 2 more answers

(x-4)/5=9-(2x-41)/9

jok3333 [9.3K]

For this question, you have to take Least Common Multiplier for which in this case will be "45" as, the denominators can get similar and get multiplied by a same value to form a similar expression. This allows us to cancel out them by common factors. Full process shown below.

$\mathbf{Given \: \: Expression: \: \dfrac{x - 4}{5} = 9 - \dfrac{2x - 41}{9}}$

$\mathbf{\dfrac{x - 4}{5} \times 45 = 9 \times 45 - \dfrac{2x - 41}{9} \times 45}$

$\mathbf{9(x - 4) = 405 - 5 (2x - 41)}$

$\mathbf{9x - 36 = 405 - 10x + 205}$

$\mathbf{9x - 36 = - 10x + 610}$

$\mathbf{9x - 36 + 36 = - 10x + 610 + 36}$

$\mathbf{9x = - 10x + 646}$

$\mathbf{9x + 10x = - 10x + 646 + 10x}$

$\mathbf{19x = 646}$

$\mathbf{\dfrac{19x}{19} = \dfrac{646}{19}}$

$\mathbf{\therefore \quad x = 34}$

$\boxed{\mathbf{\underline{\therefore \quad Final \: \: Answer \: \: is; \: \: x = 34}}}$

Hope it helps.

3 0

2 years ago