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3 years ago

Write an equivalent expression for: 3(x-2) + 4(2x-3) Explain the steps you follow to find the equivalent expression.

1 answer:

3 0

3(x-2)+4(2x-3)
Use distributive property
3(x)-3(2)+4(2x)-4(3)
=3x-6+8x-12
Combining like term
3x+8x-6-12
=11x-18. As a result, 11x-18 is another expression that equivalent for 3(x-2)+4(2x-3). Hope it help!

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Jarrett's puppy weighed 3 3/4 ounces at Birth. At 1 week old, the puppy weighed 5 1/8 ounces. At 2 weeks old, the puppy weighed

Ad libitum [116K]

Answer: The answer is $7\dfrac{7}{8}$ ounces.

Step-by-step explanation: Given in the question the weight of Jarrett's puppy at birth, one week old and 2 weeks old are as follows:

$b_0=3\dfrac{3}{4}=\dfrac{15}{4}~\textup{ounces},\\\\\\b_1=5\dfrac{1}{8}=\dfrac{41}{8}~\textup{ounces},\\\\\\b_3=6\dfrac{1}{2}=\dfrac{13}{2}~\textup{ounces}.$

We can see that

$b_1-b_0=b_2-b_1=\dfrac{11}{8}.$

So, the weight of the baby will make an arithmetic progression with first term 'a' and common difference 'd' as follows:

$b_0=\dfrac{15}{4},~~d=\dfrac{11}{8}.$

Thus, the weight of the puupy after 3 weeks will be

$b_3=b_0+3\times d=\dfrac{15}{4}+3\times\dfrac{11}{8}=\dfrac{30+33}{8}=\dfrac{63}{8}=7\dfrac{7}{8}~\textup{ounces}.$

5 0

4 years ago

Read 2 more answers

The difference between the grocery store and the post office is thirty-four hundredths of a mile. write this distance as a decim

tangare [24]

34 hundredths =34/100, or 0.34.
0.34 is your answer.

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3 years ago

A spherical ball with a volume of 972 π π in. 3 3 is packaged in a box that is in the shape of a cube. The edge length of the bo

IRINA_888 [86]

Remember that the equation of the volume of a sphere is: $V= \frac{4 \pi r^{3}}{3}$
where
$V$ is the volume of the sphere
$r$ is the radius of the sphere
We know from our problem that the volume of our spherical ball is $972 \pi in^{3}$ , so $V=972 \pi$ . Lets replace that value in our equation to find $r$ :
$V= \frac{4 \pi r^{3}}{3}$
$972 \pi = \frac{4 \pi r^{3 }}{3}$
$r^3= \frac{3(972 \pi )}{4 \pi }$
$r^{3}=729$
$r= \sqrt[3]{729}$
$r=9$
Now that we have the radius of our spherical ball, we can find its diameter using the equation: $d=2r$ :
$d=2(9)$
$d=18$

Since we know for our problem that t<span>he edge length of the box is equal to the diameter of the ball, the length of one side of our square is 18 in.
Now, to find the volume of our cube, we are going to use the equation: </span> $V=a^3$
where
$V$ is the volume of the cube
$a$ is a side of the cube (remember that all the sides of a cube are equal)
$V=18^3$
$V=5832$

We can conclude that the volume of our cube is 5832 $in^{3}$ .

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3 years ago

Ronnie's teacher wrote this expression on the board. (-4)(2) + (10/2) What is the value of this expression?

azamat

Answer:

The answer would be -3.

Step-by-step explanation:

If you follow PEMDAS, the first set of parenthesis, (-4)(2), would equal -8. The next set of parenthesis, (10/2), would equal 5. Adding -8 and 5 together gives you -3.

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3 years ago

Find the difference: 6 - 1.455

xz_007 [3.2K]

Hello!

The answer is C.

You can use a calculator or do it by hand and find that 6-1.455 is equal to 4.545.

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4 years ago