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3 years ago

Solve the system of equations for x using elimination. 3x-2y=8 2x+2y=7

Mathematics

1 answer:

jonny [76]3 years ago

5 0

Answer is: x=3

Add the two equations together to eliminate y from the system.
Then divide each term by 5 and simplify.

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T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to

Anna35 [415]

Answer:

275 mouse pads were printed

Step-by-step explanation:

562 - 12 = 550

550/2 = 275

4 0

2 years ago

Jim buys a car for $22,500. He decides to finance through the dealership at 3.5% simple interest for 5.5 years. How much interes

borishaifa [10]

Answer:

4,331.25 in interest

Step-by-step explanation:

22,500.00x3.5%=787.50x5.5=4,331.25

22,500.00+4,331.25=26,831.25 total loan

7 0

3 years ago

The sum of 1/6,2/3, and 1/4 is

Bumek [7]

¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }$

A fraction represents part of a whole.
A fraction consists of a numerator and a denominator. i.e., $\boxed{ \ \frac{numerator}{denominator} \ }$ .
The numerator = the number of equal parts of a whole.
The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

Multiples of 3: $\boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }$
Multiples of 4: $\boxed{ \ \{4, 8, 12, 16, ... \} \ }$
Multiples of 6: $\boxed{ \ \{6, 12, 18, ... \} \ }$

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

$\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }$

$\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }$

$\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }$

Then we continue adding fractions.

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }$

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }$

Thus, the result is $\boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }$

<h3>Learn more</h3>

²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
100 is 1/10 of what? brainly.com/question/96535
Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#

Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

6 0

3 years ago

Read 2 more answers

HELPPPPPP ASAPPPPPPPP

Alisiya [41]

Answer:

f(x)= 2x-5

f(-1) = 2(-1) -5

= -2 -5

= -7

g(x)= |-3x -1|

g(3)= |-3(3)-1|

=|-9 -1|

= |-10|

= 10

F(-1)- g(3)= -7-10 = -17

5 0

3 years ago

A 30 ft water slide forms a 45 degree angle with their surface of the water. How high is the top of the slide bouncer nearest wh

faltersainse [42]

Answer:

21ft

Step-by-step explanation:

sin(45°)=height/30

height=30sin(45°)

h=30×√2/2=15√2≈21.213(21ft to the nearest whole)

5 0

3 years ago