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3 years ago

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Mary is trying to decide what potato chips she wants for a snack. In her variety bag there are 4 salt and vinegar, 2 BBQ, 12 Dor

itos, 2 plain, 4 sour cream and onion. If she reaches in the bag without looking what is the likelihood that she will choose a bag of Doritos?

1 answer:

zzz [600]3 years ago

4 0

If she reaches to the bottom of the nag she will most likely to find the Doritos

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what is (5.91 x 10^-3) - (8.7 x 10^10) written in a scientific notation? Please answer asap thank you :))

nata0808 [166]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

$\left(5.91\times \:10^{-3}\right)-\left(8.7\times \:10^{10}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$=5.91\times \:10^{-3}-8.7\times \:10^{10}$

as

$5.91\times \:10^{-3}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}$

$=5.91\times \frac{1}{10^3}$

$=\frac{5.91}{1000}$

$=0.00591$

similarly

$8.7\times \:10^{10}$

Convert element to a decimal form

$10^{10}=10000000000$

so

$=10000000000\times \:8.7$

$\mathrm{Multiply\:the\:numbers:}\:8.7\times \:10000000000=87000000000$

$=87000000000$

Thus, the expression becomes

$\left(5.91\times \:\:10^{-3}\right)-\left(8.7\times \:\:10^{10}\right)=5.91\times \:\:10^{-3}-8.7\times \:\:10^{10}$

$=0.00591-87000000000$

$=-86999999999.9941$

Hence,

<em>converting -86999999999.9941 in a scientific notation</em>

In order to make our job easier we will remove the sign "-" from number -86999999999.9941 (we will write "-" at the final solution). So after this step we have:

<em>−86999999999.9941 ⟶ 86999999999.9941</em>

<em></em>

In order to write number 86999999999.9941 in scientific notation, we need to move the decimal point from its current location (black dot) to the new position such as:

<em>8.6999999999.9941</em>

<em />

So, we need to move the decimal point 10 places to the right.

This means that the power of 10 will be positive 10.

Now we have that the

Number part = 8.69999999999941 and

Exponent part = 10

Thus, we conclude that:

−86999999999.9941 = − 8.69999999999941 × 10¹⁰

8 0

3 years ago

Which expression is NOT equivalent to a · c · 5 · 5?<br> 10ac <br> 25ac <br> 25ca

arsen [322]

Answer:

10ac

Step-by-step explanation:

We have been given the expression a · c · 5 · 5

We can multiply 5 with 5 and get 25.

Thus, the expression becomes

a · c · 5 · 5= ac25

We can rewrite the expression using commutative property

25ac = 25ca

Therefore, the given expression is equivalent to 25ac and 25ca.

Hence, 10ac is not the correct form.

First option is correct.

6 0

3 years ago

Solve using the substitution method.

Brilliant_brown [7]

Answer:

x = 1, y = 4

Step-by-step explanation:

This is very simple

Since you have 2 equations with the same coefficient of x, just minus one equation from another:

x + 3y = 13

-

x + 2y = 9

1y = 4

Sub y = 4 into any of the 2 equation,

x + 3(4) = 13

x + 12 = 13

x = 13 - 12

= 1

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3 years ago

What is the equation of the line shown in the graph drag & drop the expressions ro write the equation of the line in slope i

vredina [299]

Answer:

y = 2(x + 3) + (-2) is the required equation.

Step-by-step explanation:

Here the given points are A( -1,2) and B(-3-2)

Now, slope of the equation = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -2}{-3-(-1)} = \frac{-4}{-2} = 2$

Hence, the slope of the equation is m = 2

Now, by POINT SLOPE FORMULA:

The equation of a line with slope m and point (x0, y0) is given as

(y - y0) = m (x -x0)

So, here the equation of line with (-3, -2) is

y - (-2) = 2 (x - (-3))

or, y + 2 = 2(x + 3)

⇒ y = 2(x + 3) + (-2) is the required equation.

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4 years ago

What is the solution to the system of equations below? y=-3x-9 and y=1/3x-39

dexar [7]

To remove fractions, multiply equations by their respective LCD
Multiply equation [2]by 3

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3 years ago