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marshall27 [118]
3 years ago
7

Really need help . Find the missing value that makes the two expressions equivalent

Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0

Answer:

1. 4

2. 5

3. 9

Step-by-step explanation:

1.

4(x+3y)

4x+12y=4x+12y

2.

5(7x+10y)

35x+50y=35x+50y

3.

9(2x+y)

18x+9y=18x+9y

i hope this helps!

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Question 5 (Fill-In-The-Blank Worth 1 points)
Airida [17]

Answer:

The x-coordinate of the solution to this system of equations is <u>1</u>.

Step-by-step explanation:

Given,

6x - 5y = 5\\\\3x + 5y = 4

We have to find out the x-coordinate of the equation.

Solution,

Let 6x-5y=5\ \ \ \ equation\ 1

Again let 3x+5y=4\ \ \ \ \ equation \ 2

Now using elimination method we will solve the equations.

For this we will add equation 1 and equation 2 and get;

(6x-5y)+(3x+5y)=5+4\\\\6x-5y+3x+5y=9\\\\9x=9

Now on dividing both side by '9' we get;

\frac{9x}{9}=\frac{9}{9}\\\\x=1

Hence The x-coordinate of the solution to this system of equations is <u>1</u>.

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3 years ago
Of 28 students taking at least one subject, the number taking Math and English but not History equals the number taking Math but
alexandr1967 [171]

Answer:

The answer is 5 students taking English and Math but not History

Step-by-step explanation:

The total students are 28 which are divided into 5 possible groups with no students taking either English only or History only:

  1. Taking Math only
  2. Taking English and Math but not History
  3. Taking Math and History but not English
  4. Taking English and History but not Math
  5. Taking triple subjects

The number of students in group 3 is 6. Hence, the total number in group 1, 2, 4 and 5 is: 28 - 6 = 22

Also, the number of students in group 4 is five times the number in group 5, therefore: group 2 + group 5 = 6 times group 5

Additionally, the number of students in group 1 equals that in group 2.

Hence, the equation is: 6 x group 5 + 2 x group 2 = 22 => group 2 = 11 - 3 x group 5 => group 2 = 5 because group 5 is an even number and non-zero, it must be 2.

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3 years ago
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