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pentagon [3]
3 years ago
14

3x+6=21 what is the value of x

Mathematics
2 answers:
Kamila [148]3 years ago
8 0

Answer:

3x + 6 = 21 \\ 3x = 21 - 6 \\ 3x = 15 \\ x =  \frac{15}{3}  \\ x = 5

Ronch [10]3 years ago
7 0

Answer: x=5

Step-by-step explanation:

step 1:

put all the coefficients on one side and all the variables on the other, 3x=21-6

step 2:  solve the sides, 3x=15

step 3: divide, 3x/3= 15/3

step 4: simplify: x=5

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In ΔIJK, k = 7.6 cm, j = 7.5 cm and ∠J=116°. Find all possible values of ∠K, to the nearest 10th of a degree.
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Step-by-step explanation:

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3 years ago
Use the zero product property to find the solutions to the equation (x+2)(x+3)=12
Rainbow [258]

Answer:

<em>x=-6, x=1</em>

Step-by-step explanation:

<u>The zero product property</u>

It states that if a.b=0, then it must be satisfied that a=0 or b=0. It's commonly used to solve equations where one of the sides is 0.

The given equation is:

(x+2)(x+3)=12

Since neither side is 0, we operate the expression:

x^2+3x+2x+6=12

Moving 12 to the left side and simplifying:

x^2+3x+2x+6-12=0

x^2+5x-6=0

Factoring:

(x+6)(x-1)=0

Now, since there is zero on the right side, we apply the property to solve:

x+6=0, or x-1=0

The two solutions come directly:

x=-6, x=1

4 0
3 years ago
For the soccer banquet, the players and their family members selected their favorite main dish and side dish. Of the 39 people w
Oduvanchick [21]

Question:

For the soccer banquet, the players and their family members selected their favorite main dish and side dish. Of the 39 people who chose chicken as the main dish, 18 wanted potatoes. Of the 32 people who chose rice as a side dish, 6 chose fish as a main dish. A total of 8 people chose a vegetarian meal with potatoes, and a total of 10 people chose fish as their main dish.

Which two-way table correctly displays this data?

a. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 18, 21, 39. The third column is labeled Fish with entries 4, 6, 10. The fourth column is labeled Vegetarian with entries 8, 5, 13. The fifth column is labeled total with entries 30, 32, 62.

b. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 21, 18, 39. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 5, 8, 13. The fifth column is labeled total with entries 32, 30, 62.

c. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 14, 18, 32. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 19, 8, 27. The fifth column is labeled total with entries 39, 30, 69.

d. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 18, 14, 32. The third column is labeled Fish with entries 4, 6, 10. The fourth column is labeled Vegetarian with entries 8, 19, 27. The fifth column is labeled total with entries 30, 39, 69.

Answer:

b. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 21, 18, 39. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 5, 8, 13. The fifth column is labeled total with entries 32, 30, 62.

Step-by-step explanation:

The question above is a two way table because it consists of two tables that are arranged in a column and row format or design.

A two way table is a table that up of values or numbers or frequencies for two variables. One of the variables is placed in a column while the other is placed in a row.

In the question above, we where given two variables, variable one is the main dish while variable two is the side dish. The proper way to display the data correctly is to

Create a 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 21, 18, 39. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 5, 8, 13. The fifth column is labeled total with entries 32, 30, 62.

Therefore, Option b. is the correct option.

5 0
3 years ago
Read 2 more answers
You are assigned 32 math excercises for homework. You complete 87.5 of these before dinner. How many do you have left to do afte
Tcecarenko [31]
You would have 4 left:

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