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2 years ago

In the lab, Teresa has two solutions that contain alcohol and is mixing them with each other. She uses 4 times as much

Mathematics

2 answers:

Mila [183]2 years ago

8 0

Answer:

Step-by-step explanation:

Assume as a basis the final mixture is 1000 mL. That means 399 mL of alcohol

Let x = mL of Soln A and y = mL of soln B.

x = 2y.

Now x + y = 1000

and 0.2x + 0.17y = 399

but x = 2y so 0.4y + 0.17y = 399

0.57y = 399.

y = 700 mL (That is your mL of solution B)

Klio2033 [76]2 years ago

3 0

The Answer is 4,666.66667 just to let u know I’m not considered with the answer

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. Beth is making gingerbread men. She uses 2 raisins for eyes and 3 raisins for buttons for each gingerbread man. She buys 4 box

vagabundo [1.1K]

I think the answer is Beth can make 8 dozen gingerbread men

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2 years ago

How can sums and differences of cubes be identified for factoring?

Ad libitum [116K]

The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)

Example for the sum of cubes:

64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers

By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)

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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)

Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)

7 0

3 years ago

Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript nega

AlekseyPX

Answer:

The option "StartFraction 1 Over 3 Superscript 8" is correct

That is $\frac{1}{3^8}$ is correct answer

Therefore $[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}$

Step-by-step explanation:

Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared

The given expression can be written as

$[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2$

To find the simplified form of the given expression :

$[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2$

$=(2^{-2})^{-3}(3^4)^{-3}\times (2^{-3})^2(3^2)^2$ ( using the property $(ab)^m=a^m.b^m$ )

$=(2^6)(3^{-12})\times (2^{-6})(3^4)$ ( using the property $(a^m)^n=a^{mn}$

$=(2^6)(2^{-6})(3^{-12})(3^4)$ ( combining the like powers )

$=2^{6-6}3^{-12+4}$ ( using the property $a^m.a^n=a^{m+n}$ )

$=2^03^{-8}$

$=\frac{1}{3^8}$ ( using the property $a^{-m}=\frac{1}{a^m}$ )

Therefore $[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}$

Therefore option "StartFraction 1 Over 3 Superscript 8" is correct

That is $\frac{1}{3^8}$ is correct answer

6 0

3 years ago

Read 2 more answers

What is the linear function equation represented by the graph?

Tom [10]

Answer:

Y= -1/2x + 1

Step-by-step explanation:

The equation for a line is Y=Mx+B

M stands for the Slope.

-Slope is rise/run. So, for this graph the line "rises" 1 point and "runs" left 2 points until meeting the line again. This slope is negative because it "runs" to the left.

B stands for the Y-Intercept

-The Y-intercept is the point at which the line crosses the Y axis. For this example, the line crosses the Y-intercept at (0,1).

8 0

3 years ago

(Will dive brainly!! please!!)

Sergio [31]

9514 1404 393

Answer:

A) $157,555

Step-by-step explanation:

The sum of assets is ...

house + 2 cars = $280,000 +5,200 +15,600 = $300,800

The sum of liabilities is ...

mortgage +car loan +credit card +wedding

= $113,545 +9,200 +2,300 +18,200 = $143,245

The family's net worth is the difference between assets and liabilities:

$300,800 -143,245 = $157,555

4 0

3 years ago