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3 years ago

Solve each of the following equations for xx using the same technique as was used in the Opening Exercise.

Mathematics

1 answer:

devlian [24]3 years ago

7 0

Answer:

The solve of this equation is X = 4,06

Step-by-step explanation:

To solve this formula:

2 ( X² - 16) = 1

You must use the distributive law of multiplication, thus:

2X² - (16×2) = 1

2X² - 32 = 1

2X² = 1 + 32

X² = 33/2

X² = 16,5

X = √16,5

X ≈ 4,06

Thus, the solution of this equation is:

I hope it helps!

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David wants to pack 574 cereal bars into bags of 10 and bags of 8 the number of bags of 8 is 2 more than the bags of 10. How man

BabaBlast [244]

Answer: Number of bags of 8. = 33

Number of bags of 10. = 31

Step-by-step explanation:

Let x = Number of bags of 8.

y = Number of bags of 10.

As per given.

$8x+10y= 574$ (i)

$x=y+2$ (ii)

Put value of x from (ii) in (i)

$8(y+2)+10y= 574\\\\\Rightarrow\ 8y+16+10y=574\\\\\Rightarrow\ 18y=574-16\\\\\Rightarrow\ 18y=558\\\\\Rightarrow\ y=\dfrac{558}{18}\\\\\Rightarrow\ y=18$

Put this in (i), x= 31+2=33

Hence,

Number of bags of 8. = 33

Number of bags of 10. = 31

6 0

2 years ago

Reason A pack of 140 stickers contains sheets of 28 stickers. Each

xxTIMURxx [149]

Answer:

you could divide

Step-by-step explanation:

4 0

2 years ago

Which statement best describes the relationship between x and y in the equation y = 6 + x?

mash [69]

Answer:

A. The Value of y is six less than the value of x

Step-by-step explanation:

This is because the value of x is equal to y when six is added.

7 0

3 years ago

Drag values to complete each equation.

Alex777 [14]

Answer:

1. A. 1

2. D. $17^9$

Step-by-step explanation:

Properties used:

Power of a Power Property
Product Property
Quotient Property
Zero Exponent Property

1. First, let's deal with the numerator.

$(17^3)^6$ can be turned into $17^1^8$ by using the Power of a Power Property.

And then use the Product Property, $(17^1^8)(17^-^1^0) = 17^8$

So now, our fraction is this: $\frac{17^8}{17^8}$

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: $\frac{a^m}{a^n} = a^m^-^n$ or $\frac{1}{a^(^n^-^m^)}$ . Which then you plug the numbers in: $\frac{17^8}{17^8} = 17^8^-^8 = 17^0$ . And since we know that in Zero Exponent Property: $a^0 = 1$ , we can see that $17^0 = 1$ . So either way, we get 1.