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1 year ago

Observe the expression below and select the true statement(s).

2 answers:

4 0

The true statements are:
<span>The "(7 + 2x)" in the first term is a factor.
The "9" in the second term is a coefficient.
The "3y" in the first term is a factor.</span>

il63 [147K]1 year ago

4 0

Answer:

The "(7 + 2x)" in the first term is a factor.

The "9" in the second term is a coefficient.

The "3y" in the first term is a factor.

Step-by-step explanation:

Observe the expression below

3y(7+2x)+9xy-10

Here 3y(7+2x) is a the first term

9xy is the second term and -10 is the third term

3y(7+2y) , 3y and 7+2x are factored completely

The "(7 + 2x)" in the first term is a factor and "3y" in the first term is also a factor.

9 is the coefficient of second term

-10 is a constant

The "(7 + 2x)" in the first term is a factor.

The "9" in the second term is a coefficient.

The "3y" in the first term is a factor.

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A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single

Goryan [66]

Answer:

#3) 72; #4) 40,320; #5) 90.

Step-by-step explanation:

#3) The number of possible choices are found by multiplying the choices of flavors and the choices of toppings:

6*12=72.

#4) The ordering of 8 cards is a permutation, given by 8!=40,320.

#5) This is a permutation of 10 objects taken 2 at a time:

P(10,2) = 10!/(10-2)!=10!/8!=90.

P.S I had the same question once.

7 0

1 year ago

The total number of degrees, D, in an n-sided polygon is given by the formula D=180(n-2). When Janelle solves for n, she gets n=

Rus_ich [418]

<span>D = 180 * (n -2)
D = 180n -360
180n = D +360
n = (D / 180) + 2

So, the answer is "A"
And we can test this with a square, sum of angles = 360
n = (D / 180) +2
n = (360 / 180) +2
number of sides = 4
correct

Source:
http://www.1728.org/polygon.htm

</span>

3 0

1 year ago

Read 2 more answers

Damien , Jake , and Makayla shared a bowl of grapes . Damien ate x grapes . Jake ate 1 more than twice the number of grapes that

vivado [14]

Answer:

There were (4x + 2) grapes in the bowl

Step-by-step explanation:

Here, we are interested in calculating the total number of grapes in the bowl.

We have 3 people sharing the total

Damien are x grapes

Jake ate 1 more than twice what Damien and that is (1 + 2x) grapes

Makayla ate 5 fewer grapes than Damien: So what Makayla ate is (x-5) grapes

And now, we have 6 grapes left.

To find the total number of grapes in the bowl, we need to add up all what they ate plus what is left.

Mathematically, that would be;

x + 1 + 2x + x -5 + 6

= 4x + 2

8 0

2 years ago

Read 2 more answers

Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in ye

sdas [7]

Answer:

$10 + (\frac{2}{3}) a = 50$ is the CORRECT equation.

Step-by-step explanation:

The given question is INCOMPLETE.

Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.” Javier writes the equation { 10 + 2/3} where a is the tree’s age in years. His equation is not correct. What error did he make?

Now here:

a: The tree’s age in years.

Also, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”

⇒ 10 + two-thirds of that tree’s age = 50

$\implies 10 + (\frac{2}{3}) a = 50$

But in the equation written by Javier, the the third fraction is NOT MULTIPLIED by the age of the tree a in Years.

So, the written equation by Javier is Incorrect.

Now, solving the written correct equation for the value of a, we get:

$\implies 10 + (\frac{2}{3}) a = 50\\\implies (\frac{2}{3}) a = 40\\\implies a = 40 \times (\frac{3}{2}) = 60\\\implies a = 60$

Hence the correct age of the tree = 60 years

5 0

2 years ago

Brock is training for a Crossfit competition. He began the training completing pull-ups and box jumps origanally, his training p

siniylev [52]

If the adjusted ratio was 2:7, then

2x is the number of pull-ups

and

7x is the number of box jumps.

You can state that since he completed 63 box jumps at the end of his training, then

7x=63,

x=9

and

2x=18.

The total number of exercises performed is 2x+9x=18+63=81.

As at start the ratio was 5:4, then

5y was the number of pull-ups

and

4y was the number of box jumps.

Therefore, 5y+4y=81,

9y=81,

y=9

and 5y=45, 4y=36.

Answer: Initially: 45 pull-ups and 36 box jumps. At the end: 18 pull-ups and 63 box jumps.

8 0

2 years ago