Leila was asked to solve the equation 2 over 3 left parenthesis x plus 5 right parenthesis equals 29. The first step she did to solve the equation was 2 over 3 left parenthesis x right parenthesis plus 2 over 3 left parenthesis 5 right parenthesis equals 29. What property did she use in this step?A.associative

B.commutative

C.distributive

D.reflexive
Which answer is right !

Answers

Answer 1

Answer: C. Distributive law.

Answer 2

Answer:

Final answer:

Leila used the distributive property in the first step to solve the given equation, multiplying both terms in the parentheses by the fraction 2/3.

Explanation:

In this step, Leila applied the distributive property. The distributive property states that a(b + c) = ab + ac. This property allows us to multiply a single term by two or more terms within a parenthesis. In this case, Leila multiplied the fraction 2/3 by both 'x' (the variable) and '5' (the constant), inside the parentheses.

So, the equation went from 2/3 (x + 5) to (2/3 * x) + (2/3 * 5), which follows the rule of distributive property ab + ac when applied to the given equation.

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Related Questions

The difference between two times a number and four is eight. Write the phrase as a algebraic equation
Identify the asymptotes.y=1/x-6
A bag contains pennies, nickels, nickels, and nickels. There are 50 coins in total. Of the coins, 14% are pennies and 34% are dimes. There are 6 more nickels than pennies. How much money does the bag contain?
Can someone plz help me Solve this Equation Solve for X
Convert the following to a fraction:0.363636

HELP ! Find the Domain in this question

Answers

See that denominator cannot be zero, so,

x-3 ≠ 0
x ≠ 3

Domain:

S={x∈R/x≠3}

$x-3\not=0\n x\not=3\n D:x\in\mathbb{R}\setminus\{3\}$

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

Answers

Since the value decreases by 25% each time, the next cost is the current cost times 0.75 (since new cost is 75% of current cost).
To find the value of the book after x times sold, you can use:
$cost = 85(0.75)^x$
Just plug in the number of times it is resold to find the value.

A exponential function would represent it nicely f(x)=b*a^x
Reason being a decrease of %
a = 1+r
r = -25% = -0.25
And b being what the original cost of the book
f(x)=85*0.75^x
Where f(x) is the price after x amount of previous owners

9. Nick has desigied a diamond-shaped kite as shown below. The measures of so me sides of the kite, are marked in thefigure. Find the value of x (JUSTIFY)

Answers

Answer:

$x=(10√(6))/(7)\ in$

Step-by-step explanation:

step 1

In the right triangle DOC

Find the measure of side DO

Applying the Pythagoras Theorem

$DC^(2)=DO^(2)+OC^(2)$

substitute the given values

$7^(2)=DO^(2)+5^(2)$

$DO^(2)=7^(2)-5^(2)$

$DO^(2)=49-25$

$DO^(2)=24$

$DO=2√(6)\ in$

step 2

In the right triangle DOC

Find the sine of angle ∠ODC

sin(∠ODC)=OC/DC

substitute

$sin(ODC)=5/7$ -----> equation A

step 3

In the right triangle DOP

Find the sine of angle ∠ODP

sin(∠ODP)=OP/DO

substitute

$sin(ODP)=x/2√(6)$ -----> equation B

step 4

Find the value of x

In this problem

∠ODC=∠ODP

equate equation A and equation B

$5/7=x/2√(6)$

$x=(10√(6))/(7)\ in$

Write the expression (y 7)^2 -100 as the product of two linear binomials

Answers

To answer this problem, you have to have a good foundation in factoring polynomial expressions. It has to be taken into account the knowledge in division and fractions.

The expression
(y+7)^2 - 100

can be factored as
[ (y+7) + 10 ] [ (y+7) - 10 ]

Further simplifying the expressions
[ y + 7 + 10 ] [ y + 7 - 10 ]
( y + 17 ) ( y - 3)

So the product of two linear binomials is
(y+17)(y-3)

What is the value of (4 minus 2) cubed minus 3 times 4?
Negative 20

Answers

The expression $((4 - 2)^3 - 3) * 4$ simplifies to 20, as of the given operations.

To calculate the expression $((4 - 2)^3 - 3) * 4$ , we follow the order of operations (PEMDAS/BODMAS).

First, we evaluate the parentheses: (4 - 2) = 2.

Next, we calculate the cube of 2³= 8.

Then, we subtract 3 from 8:
8 - 3 = 5.

Finally, we multiply the result by 4:
5 × 4 = 20.

Therefore, the value of the expression $((4 - 2)^3 - 3) * 4$ is 20.

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Answer:

-4

Step-by-step explanation:

(4-2)³ = 8

so 8 - 3 x 4

is equal to -4

Help please !Write a rule to describe the function shown.

x y
−3 9
−1 3
0 0
3 −9
y = 3x
y = −3x
y equals start fraction one over three end fraction x
y equals negative start fraction one over three end fraction x

Question 2 (Multiple Choice Worth 5 points)

(04.03 MC)

What is the slope of the line joining (10, 9) and (40, 3)?

−5
−4
negative start fraction one over five end fraction
start fraction one over five end fraction