Which of the following best describes the expression 3x + 2y + 8z?
The product of three sums; there are three terms
The sum of three products; there are three terms
The product of three sums; there are six terms
The sum of three products: there are six terms

Answers

Answer 1
You have 3 variables, x y and z.
Each of these variables comes in different amounts - so there are 3x 2y and 8z. Those variables could be anything.

So the 3x is a product of 3 multiplied by x, 2y is a product of 2 multiplied by y and 8z is the product of 8 multiplied by z
So this equation means that it is the sum of three products (3x, 2y and 8z) and there are 3 terms. Each of 3x, 2y and 8z is considered a term.
Answer 2

Answer:

B. The sum of three products; there are three terms.

Step-by-step explanation:

We have been given an expression [tex]3x+2y+8z[/tex]. We are asked to choose the sentence which best describes our given expression.

We can see that our given expression has three variables and each of them is multiplied by a number. Therefore, there are three terms is our given expression.

We can see that each term is product of a number and variable and all terms are being added, therefore, our expression represents the sum of three products and option B .


Related Questions

For the spring festival, the Math Club is selling rulers for $1 and compasses for $2.50. the club would like to sell as many items as they can to raise funds. they need to at least make $15 to break even. write an inequality to represent this situation. let r=#of rulers sold and c=#of compasses sold.... School rules state that the club can sell a maximum of items for the festival. Write another inequality for this constraint (limitation).

Answers

Final answer:

To represent the situation, the inequality is 1r + 2.50c >= 15. The constraint on the maximum number of items sold is r + c <= M.

Explanation:

To write an inequality representing the situation, we need to consider the cost and the number of items sold. Let's denote the number of rulers sold as r and the number of compasses sold as c. The cost of the rulers is $1 each and the cost of the compasses is $2.50 each. The Math Club needs to make at least $15 to break even, so the inequality is: 1r + 2.50c >= 15.

Now, let's consider the constraint or limitation on the maximum number of items sold. Let's assume the maximum number of items that can be sold is M. So the inequality for this constraint is: r + c <= M.

Final answer:

The student should write the inequality 1r + 2.5c ≥ 15 to represent the condition of making at least $15 from selling rulers and compasses. An additional constraint can be represented by the inequality r + c ≤ m, with m being the maximum number of items allowed to be sold.

Explanation:

The Math Club is looking to make at least $15 by selling rulers at $1 each and compasses at $2.50 each. To represent this situation as an inequality where r is the number of rulers and c is the number of compasses sold, we use the equation: 1r + 2.5c ≥ 15. This inequality ensures that the combination of rulers and compasses sold will bring in at least $15.

If there is a maximum number of items that the Math Club is allowed to sell, we can represent this as another inequality. Let's say the maximum number of items is m. Then, we can write the inequality as: r + c ≤ m, where m is the given maximum number of items that can be sold.

Jane buys People magazine at Walmart each week for $4.99. A 52 week subscription to the magazine is $203.84. How much would she save each week per magazine if she signed up for the subscription?

Answers

STEP 1:
find total cost of purchasing the magazine each week for 52 weeks

= $4.99 * 52 weeks
= $259.48 total

STEP 2:
find difference between purchasing each week and the subscription price

= $259.48 - $203.84
= $55.64 difference/savings


ANSWER: She would save $55.64 if she purchased the subscription.

Hope this helps! :)

Image point B (4,-8) was transformed using the translation (x-2,y+3) what were the coordinates of B?

Answers

The coordinates of the image point are given to be B(4, -8). We are to find the coordinates of pre-image that is the coordinates before the translation.

The translation made was (x-2, y+3) 

This means, the x coordinate was moved 2 units to left and y coordinate was moved 3 units above. 

So, the coordinates of original point will be, 2 units to right of B and 3 units down of B.

So the coordinates will be (6, -11)
 

Answer: (6, -11)

Step-by-step explanation:

41/17 as a decimal rounded to the nearest tenth

Answers

The correct answer is 2.4

Completely simplify spare root of 24x^6

Answers

Answer:

Assuming x ≥ 0:

[tex] \sqrt{24 {x}^{6} } = \sqrt{24} \sqrt{ {x}^{6} } = \sqrt{4} \sqrt{6} \sqrt{ {x}^{6} } = 2 {x}^{3} \sqrt{6} [/tex]

the art teacher has 12 glue sticks find five different ways to show equal groups of glue sticks

Answers

Final answer:

Five ways to divide 12 glue sticks into equal groups are 2 groups of 6, 3 groups of 4, 4 groups of 3, 6 groups of 2, and 12 groups of 1.

Explanation:

The student asked for five different ways to show equal groups of glue sticks when they have 12 glue sticks in total. Here are five ways to make equal groups:

Two groups of 6 glue sticks.Three groups of 4 glue sticks.Four groups of 3 glue sticks.Six groups of 2 glue sticks.Twelve groups of 1 glue stick (though technically each group has the same, there would just be one glue stick per group).

To visualize this, you can draw the groups on paper or use objects to represent the glue sticks and arrange them into the number of groups needed.

PLEASE EXPLAIN: Is there any job you could have as an adult where you would not need to know any math?

Answers

ELA teacher and Janitor 

how to write function in standard form
[tex]f(x) = (2 \times + 1)(x + 1)(x - 1)[/tex]

Answers

Multiply it out.
  f(x) = (2x +1)(x² -1) . . . . . . recognize the factoring of the difference of squares
  f(x) = 2x³ +x² -2x -1
The standard form:
[tex]f(x)=ax^3+bx^2+cx+d[/tex]
Use:[tex](a-b)(a+b)=a^2-b^2\\\\(a+b)(c+d)=ab+ad+bc+bd\\\\a^n\cdot a^m=a^{n+m}[/tex]
[tex]f(x)=(2x+1)(x+1)(x-1)\\\\f(x)=(2x+1)(x^2-1^2)\\\\f(x)=(2x+1)(x^2-1)\\\\f(x)=2x\cdot x^2-2x\cdot1+1\cdotx^2-1\cdot1\\\\f(x)=2x^3-2x+x^2-1\\\\\boxed{f(x)=2x^3+x^2-2x-1}[/tex]

If my radius is 7.8 maters. What is the circumference and area of my circle

Answers

Circumference = 2 · π · r   or  π · d

Radius = 7.8

7.8 × 2 = 15.6

15.6 × 3.14(π) = 48.984

Circumference = 48.984 rounded = 49

Area = π · r²

Radius = 7.8

7.8 × 7.8 = 60.84

60.84 × 3.14(π) = 191.0376

Area = 191.0376 rounded = 191

Hope this helped☺☺

2(2x+9)=50 simplifyed

Answers

4x + 18 = 50
4x = 32
x = 8
whichever one XD
Answer is 8
2(2x+9)=50
4x+18=50
4x=32
x=8

Carl tells his friend Logan about a new music download service.
Carl says that if you download x collections per month, your monthly cost will be 2(x + 10). Logan says the cost will be 2(x + 5). Who is correct?
A. Only Carl is correct.
B. Only Logan is correct.
C. Both Carl and Logan are correct.
D. Both Carl and Logan are incorrect.

Answers

D. both are incorrect


Answer:

caral corect

Step-by-step explanation:

hes wrong not d

WILL MARK BRAINLIST!!!!

Just need question 1 (i) and 2 (i), (ii)

Answers

2i
y=4-2x and 4x+2y = 5 can be rewritten as:

 y = -2x + 4
2y = -4x + 5

Multiply all 3 terms of the first eq'n by 2:    2y = -4x + 8

Note that 2y = -4x shows up in both equations.  This is enuf info on which to conclude that the 2 lines have the same slope.

Need help with this one!

Answers

To find DH, we must find HF first. To find HF we can use Pythagorean Theorem.

(1.5)^2 + (1)^2 = HF^2
2.25 + 1 = 3.25
HF = [tex] \sqrt{13} [/tex]/2

Now we can use this length in the next application of Pythagorean Theorem for the length of DH.

(3)^2 + ([tex] \sqrt{13} [/tex]/2)^2 = DH^2
9 + 3.25 = 12.25
DH = 7/2 or 3.5in.

the measures of two complementary angles have a ratio of 2:7 . what is the measure of the smaller angle

Answers

Answer:
The smaller angle is 20 degrees. 

Explanation:
Complementary angles are two angles (or more) whose sum is 90 degrees.

If two angles have a sum of 90 degrees and their ratio is 2:7, we must determine which two numbers when added together would yield this proportion?

60 + 30 = 90 but 60:30 is a 6:3 ratio which simplifies to 2:1.

45 + 45 = 90 but 45:45 is a 1:1 ratio.

50:40 = 90 but 50:40 is a 5:4 ratio.

10 + 80 = 90, but 10:80 is a 1:8 ratio. We're getting closer!

20 + 70 = 90, and 20:70 can be simplified to 2:7 when you divide each number in the ratio their greatest common factor (GCF) of 10.

Therefore, the two complementary angles would be 20° and 70°, the smaller of which would be 20°

Rewrite this logarithm as a subtraction of logs

Log11 (29/11)

Answers


[tex] log_{11}( \frac{29}{11} ) \\ = log_{11}(29) - log_{11}(11) \\ \\ as \: log_{11}(11) = 1\\ \\ therefore \: \: it \: becomes \\ \\ =log_{11}(29) - 1[/tex]

Final answer:

To rewrite the given logarithm as a subtraction of logs, use the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.

Explanation:

The given logarithm is log11 (29/11). To rewrite this as a subtraction of logs, we can use the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.

So, log11 (29/11) can be rewritten as log11 (29) - log11 (11).

there are 200 end of the school year dance tickets available students who have perfect attendance are able to personage them in advance if 18 tickets were purchased in advance then what percent of the tickets were purchased in advance

Answers

9 percent because 18 divided by 200 is 0.09 or 9 percent.

The percentage of the tickets for the dance that were purchased in advance is 9%.

What is the percentage of the tickets that were bought in advance?

Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign used to represent percentage is %.

Percent of advance tickets bought = (number of advance tickets / total number of tickets) x 100

(18 / 200) x 100 = 9%

To learn more about percentages, please check: https://brainly.com/question/25764815

A recipe for bread uses 5 3/4 cups of white flour and 3 1/3 cups of wheat flour. How many more cups of white flour than wheat flour are used in the recipe? Write an equation and complete the bar diagram to solve.

Answers

The equation is just 5 3/4 times 3 1/3. You make the denominators the same by multiplying them by each other. It will be 5 3/12 times 3 1/12. Now you times these two together. You can do this part yourself because it will be confusing on here. I hope i helped atleast a little.
Final answer:

The recipe uses 2 5/12 cups more white flour than wheat flour. To find this, convert the amounts to improper fractions, find a common denominator, and then subtract the amount of wheat flour from the amount of white flour.

Explanation:

To find out how many more cups of white flour are used than wheat flour in a bread recipe, you need to calculate the difference between the amounts of the two flours. The recipe calls for 5 3/4 cups of white flour and 3 1/3 cups of wheat flour. To do this mathematically, we must first convert these mixed numbers to improper fractions.

The white flour amount, 5 3/4 cups, can be converted as follows: (5 × 4) + 3 = 20 + 3 = 23/4 cups. Similarly, the wheat flour amount, 3 1/3 cups, converts to (3 × 3) + 1 = 9 + 1 = 10/3 cups.

Now, to find the difference, we subtract the wheat flour from the white flour:

23/4 (white flour) - 10/3 (wheat flour)

Before subtraction, you have to ensure that both fractions have the same denominator. The least common denominator here is 12. The equation now becomes:

(23 × 3)/(4 × 3) - (10 × 4)/(3 × 4) = 69/12 - 40/12

Simplifying the subtraction gives us:

69/12 - 40/12 = 29/12

Therefore, the recipe uses 29/12 cups, or 2 5/12 cups more white flour than wheat flour.

HELP PLEASE !!! 20 POINTS!
Match each relation with its domain and range.
1. D = {1,2, -1}; R = {3,5,2}
2. {1,2, -1}; R = {1,2, -1}
3. D = {3,5,2}; R = {3,5,2}
4. D = {3,5,2}; R = {1,2, -1}

a. {(1,3), (2,5), (-1,2)}

b. {(3,3), (5,5), (2,2)}

c. {(1,1), (2,2), (-1,-1)}

d. {(3,1), (5,2), (2, -1)}

Answers

[tex]a=1 \\ b=3 \\ c=2 \\ d=4[/tex]

PLEASE HELP!!!ASAP!!!!
Write an equation that you can use to solve for x.

Enter your answer in the box.

Answers

180 - 100 = 80

equation
x = 180 - 80 - 60

to find x
x = 180 - 140
x = 40

A student ate 3/20 of all candies and another 1.2 lb. Another student ate 3/5 of the candies and the remaining 0.3 lb. Altogether, what weight of candies did they eat?

Answers

let
x-------> total weight of candies
we know that

x=(3/20)*x+1.2+(3/5)*x+0.3
x=(3/20)*x+(3/5)*x+1.5----> multiply by 20----> 20x=3x+12x+30
20x=15x+30
20x-15x=30
5x=30
x=6 lb

the answer is
6 lb

Answer:

6 Pounds

Step-by-step explanation:

Above

cuanto valen 75 sobres a $2,000 el cien?

Answers

Igual que el último.
Si es "$ 2,000 por 100 sobres, dividiremos 2,000 / 100 y obtendremos 20, luego multiplicaremos 20 por 75 y obtendremos" $ 1500 ".
 
Esta es la ecuación
 $ 2,000 / 100 = 20 x 75 = $ 1,500
 
Espero que esto ayude :-)

Find the zeroes in F(x) = 3x^2 + 9x + 12

Answers

F(x) = 3x^2 + 9x + 12,
The zeroes of the function are the value of x when F(x)=0.

 3x²+ 9x + 12 = 0   (divide all equation by 3)
x²+3x+4 =0

a=1, b=3, c=4

[tex]D= b^{2}-4ac=3^{2} -4*1*4=9-16= -4 \ \textless \ 0, so no real solutions. [/tex]

There are no real zeros for this function.


A 6x4 rectangle sits inside a 8x7 rectangle

Answers

Sorry the answer was wrong, but the answer for this is 32
Hope this Helps! 
Sorry

HELP XD : Brainliest to best
Math
10 points

Answers

She should use the spinning wheel because its a 2/12 chance, with a wheel its a 1/6 chance.

(Please help me!)
Which type of probability is determined by considering all possible outcomes, without actually testing them?

A. Empirical probability
B. Theoretical probability
C. Unpredictable probability
D. Random probability

Answers

Answer: (B) Theoretical probability.

Reason: Theoretical probability is based on reasoning by counting the numbers of favourable outcomes against the number of possible outcomes.

Answer: B. Theoretical probability

Step-by-step explanation: Theoretical probability is based on calculations, and not actual tests.

if the area of a square is 225 cm2, what is the length of the diagonal

Answers

√225 = 15 and since all sides of a square are the same size, the answer is 15.
15 x 15 = 225 
base x height = area of a square or rectangle. or Side^2 for a square.

what decimal is equivalent to 6 %

Answers

As a decimal, the fraction 1/6 is equivalent to 0.1666, with the 6 repeating to infinity. To make it easier to write, one has the option of rounding the answer to 0.2, 0.17 or 0.167
0.06 is the equivalent to 6%

In order to make a servings for four 1 3/4 cups of chopped vegetables are needed based on this information determine the amount of chopped vegetables needed to make a recipe for ten

Answers

the amount of vegetables needed for 10 is 4  3/8 cups

Answer:

To make recipe for 10 requires 35/8 or 4.375 chopped vegetables

Step-by-step explanation:

For 4,   7/4  cups of chopped vegetable are needed

it means for recipe for 4, requires 1.75 chopped vegetable

Therefore 10 recipe will require

10 × 7/4(1.75) cup divided by 4

Mathematically,

10 × 1.75 = 17.5

17.5/4 = 4.375  or 35/8 chopped

Which statement is true about the distribution? A line ranging from 0 to 120 with boxes between 15 and 28, 28 and 34, 34 and 40, and 40 and 48. The IQR is the best measure of variability because the distribution has an outlier. Either the IQR or the range are good measures of variability because the distribution has an outlier. Either the IQR or the range are good measures of variability because the distribution has no outliers. The range is the best measure of variability because the distribution has an outlier.

Answers

Each statement mentioned indicates that there is an outlier.  Whenever there is an outlier, the interquartile range is always going to be the best measure of variability because an outlier will make the data seem more variable due to the number that is far away from the rest of the numbers.

The correct answer is the first choice.

Answer: The answer is A. "The IQR is the best measure of variability because the distribution has an outlier."

Step-by-step explanation:

Can anybody correct me if I'm wrong? (I might be mixing my answers / questions up a bit) I also need more to be checked but anyways I'm very thankful for those who read into this.

Answers

for #32, the answer is the third one because you mixed up your x and y values, you were on the right track though
#33 is the last one
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