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Stolb23 [73]
3 years ago
7

Which expressions are equivalent to 4(4x + 2y + x − y)? (1 point)

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0
=4(4x+2y+x-y)
=4*4x+4*2y+4*x-4*y
=16x+8y+4x-4y
=16x+4x+8y-4y
=20x+4y

donc la bonne reponse est la 3
4(5x+y)*
=4*5x+4*y
=20x+4y
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A recipe uses 2 cups of sugar to make 32 brownies. How many cups of sugar are needed to make 72 brownies?
maks197457 [2]
Set up a fraction with 2 cups of sugar (s) at the top and 32 brownies (b) at the bottom. 2s/32b. Now, set up the next fraction with x cups of sugar (because we don't know the amount of sugar) at the top and 72 brownies (b) at the bottom. Set them equal. Your equation should be 2s/32b=x/72b. Cross multiply these values (if you wrote them down; 32x=144) and solve for x.
6 0
3 years ago
Four resistors are connected in series such that their total resistance is 50ohm . If the resistance of resistors is 5 ohm , 10o
Katyanochek1 [597]
<h2>Answer:</h2>

\boxed{R_{4}=20\Omega}

<h2>Step-by-step explanation:</h2>

If resistors are in series, so the current  I is the same in all of them. In this problem we have four resistors. So, we can get a relationship between the Equivalent resistance  of series combination and the four resistors as follows:

R_{eq}=R_{1}+R_{2}+R_{3}+R_{4}

R_{eq} is the total resistance 50\Omega. Moreover:

R_{1}=5\Omega \\ R_{2}=10\Omega \\ R_{3}=15\Omega

Therefore:

50=5+10+15+R_{4} \\ \\ R_{4}=50-(5+10+15) \\ \\ R_{4}=50-30 \\ \\ \boxed{R_{4}=20\Omega}

7 0
3 years ago
Rewrite the following expression with rational exponents. 3 sq root -27x^2 y^7<br> Show your work
andrew-mc [135]

Answer:

Step-by-step explanation:

The square root is possible only if y≤0

if y>0 the expression lose meaning, in fact (-)(+)(+) = (-) and a square root of a negative number doesn’t exist. x^2 is a square so it is ever positive if x is not 0

if y≤0 can be rewritten as:

3(-27x^2y^7)^1/2

or if we want simplify the expression:

3 \sqrt{3^2 * (-3) * x^2 * y^6 * y} = 3^2|x||y|^3 (-3y) ^1/2

we have to put the symbol of absolute value between x and y because a x^2 and y^6 are numbers that are ever positive, while x and y^3 can be also negative. Thanks to the simbol of absolute value we can “force” them to be positive

7 0
3 years ago
Last week the price of apples at a grocery store was $1.20 per pound. Today, the store has
lions [1.4K]

Answer:

$0.54

Step-by-step explanation:

Start by multiplying 4.5 times 1.20. That’s the normal price of the apples when they’re not on sale. $5.40. Move the decimal place back by one and you get 0.54. That’s the total price of the apples.

5 0
3 years ago
An adult has a total of about 22.5 square feet (ft2) of skin. Use the fact that 1 m is approximately equal to 3.281 feet to conv
zheka24 [161]

Answer:

There are about 3.281 * 3.281 = 10.764 square feet in one square meter. Therefore, 22.5 square feet is 22.5 / 10.764 = 2.09 square meters.

3 0
4 years ago
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