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4 years ago

Question 1

Mathematics

1 answer:

Margaret [11]4 years ago

7 0

Answer:

It would be 3 in by 4 in

Step-by-step explanation-

2*3=6 2*4=8

scale down and it will give you 3 in. by 4 in.

You might be interested in

24 , Factor: x²-9 A (x + 3XX-3) B (x+3)2 с (x-3) (x+3)(x+3)

Katarina [22]

Answer:

(x-3)(x+3)

Step-by-step explanation:

We are given the expression $\displaystyle \large{x^2-9}$ :—

To factor this expression, we have a formula for it which is difference of two squares:—

$\displaystyle \large{a^2-b^2=(a+b)(a-b)}$

You can also swap from $\displaystyle \large{(a+b)(a-b)}$ to $\displaystyle \large{(a-b)(a+b)}$ via multiplication property.

From the expression, factor using the formula above:—

$\displaystyle \large{x^2-9=(x^2)-(3)^2}\\\displaystyle \large{x^2-9=(x-3)(x+3)}$

Therefore, the factored expression is:—

$\displaystyle \large{\boxed{(x-3)(x+3)}}$

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If you have any questions regarding the problem or need clarification of my answer/explanation, do not hesitate to ask in comment!

5 0

2 years ago

if i have the amount of 182 and i minus $8.00 and $4.30 and i get 172.37 dollars how many do i have left

Blababa [14]

By “i get 172.37” is that adding to the 182 or how much you have left after buying those things.

3 0

4 years ago

Which radical expression is equivalent to k 2/9 ?

fenix001 [56]

Answer:

Option D is the correct answer

Step-by-step explanation:

$\huge {k}^{ \frac{2}{9} } = ( \sqrt[9]{ {k}}) ^{2} \\$

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=y%20%3D%203x%20-%202%20%5C%5C%20y%20-%202%20%3D%20x" id="TexFormula1" title="y = 3x - 2 \\ y -

aleksley [76]

Answer:

The solution to the system of equations be:

x = 2, y = 4

Step-by-step explanation:

Given the system of equation

y - 2 = x

y = 3x - 2

substitute y = 3x - 2 in the equation y - 2 = x

y - 2 = x

(3x - 2) - 2 = x

3x -2 -2 = x

3x - 4 = x

add 4 from both sides

3x - 4 + 4 = x + 4

3x = x + 4

subtract x from both sides

3x - x = x + 4 - x

3x - x = 4

2x = 4

divide both sides by 2

2x/2 = 4/2

x = 2

For y = 3x - 2, plug in x = 2

y = 3x - 2

y = 3(2) - 2

y = 6 - 2

y = 4

Therefore, the solution to the system of equations be:

x = 2, y = 4

7 0

3 years ago

A metallurgist has an alloy with 5% titanium and an alloy with 25% titanium. He needs 100 grams of an alloy with 13% titanium

Nimfa-mama [501]

So... the alloy with 5% titanium is ...some alloy :), so is a mixed metal and among its mix it has 5% of titanium, it has other metals, but only 5% is titanium.

that means that if the amount of it is say "x", then the amount of titanium in it will be 5% or (5/100) * x, or 0.05x.

now, the 25% titanium, is the same issue, if say a quantity of "y" will only have 25% of titanium, regardless of other metals, so in "y" there is 25% or (25/100) * y, or 0.25y.

so, we need a mixture that yields only a 13% alloy, or 13/100, and will be 100 grams, so the amount of titanium in it will then be (13/100) * 100 or 13.

$\bf \begin{array}{lccclll}
&\stackrel{grams}{amount}&\stackrel{\%}{quantity}&\stackrel{concentrated}{quantity}\\
\textit{5\% alloy}&x&0.05&0.05x\\
\textit{25\% alloy}&y&0.25&0.25y\\
------&------&------&------\\
mixture&100&0.13&13
\end{array}
\\\\\\
\begin{cases}
x+y=100\implies \boxed{y}=100-x\\
0.05x+0.25y=13\\
----------\\
0.05x+0.25\left( \boxed{100-x} \right)=13
\end{cases}
\\\\\\
0.05x-0.25x+25=13\implies -0.20x=-12\implies x=\cfrac{-12}{=0.20}
\\\\\\
x=\stackrel{grams}{60}$

how much of the 25% alloy will be needed? well, y = 100 - x.

4 0

3 years ago