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VikaD [51]
3 years ago
9

Which expression is equivalent to 6(14)? A. 6(10 + 4) B. 6(10 + 14) C. 6(1 + 40) D. 6(10 + 40)

Mathematics
2 answers:
makvit [3.9K]3 years ago
5 0
A 6(10+4) is correct
lyudmila [28]3 years ago
5 0

6(14)=84

Since 6 times 14 is 84, make the equations equal to 84 and solve

6(10 + 4)=84

Add what is in the parenthesis

6(14)=84

Multiply

Final Answer: 84=84

The answer is A. 6(10 + 4)


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What is the product?<br><br> One-eighth times three-elevenths
Nastasia [14]

Answer:

3/88

Step-by-step explanation:

when multiplying fractions, you can just multiply across. make sure to simplify!

7 0
2 years ago
Determine whether the ordered air is s solution of the given system of equations, remember to use alphabetical order of variable
Igoryamba
Given your ordered pair you would assume a = 5, b = 2
Set up both equations 
5 + 2 = 7
7 = 7 (the numbers are equal so this correct)
2(5) - 8 = 2
10 - 8 = 2
2 = 2 (the numbers are equal so this is also correct)

Because both equations work with the ordered pair they <em>are</em><span> the solution of the given system.</span>
3 0
2 years ago
A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening
-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving  a system of linear equations.

First we write the system equations :

C+S+A=750

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

3C+5S+7A=3450

This equation represents the totaled receipts.

The system :

C+S+A=750\\3C+5S+7A=3450

has the following associated matrix :

\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]

By performing elementary matrix operations we find that the matrix is equivalent to

\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]

The new system :

C-A=150\\S+2A=600

Working with the equations :

C = 150 + A\\S = 600-2A

Our solution vector is :

\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]

For example :

If 0 adults attended ⇒ A = 0

C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

S = 600 -2A

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0
3 years ago
Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from
zaharov [31]

Answer:

\angle CFD =105^o

Step-by-step explanation:

Given

\angle D FE = \angle DE F = 75^o

See attachment

Required

Determine the measure of \angle CFD

\angle CFD and \angle DFE are on a straight line.

So:

\angle CFD + \angle DFE = 180^o --- angle on a straight line

Substitute known values

\angle CFD + 75^o = 180^o

Collect like terms

\angle CFD =- 75^o + 180^o

\angle CFD =105^o

5 0
3 years ago
Read 2 more answers
For the y= 2/3x , if the y coordinate is 14 what is the x coordinate? help asap
nignag [31]

Answer:

21

Step-by-step explanation:

y= 2/3 x

so, x= 3/2y

when y= 14

x= 3/2×14 = 21

4 0
2 years ago
Read 2 more answers
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