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Marta_Voda [28]
3 years ago
11

Select the correct answer.

Mathematics
1 answer:
adelina 88 [10]3 years ago
8 0

Answer:

c.

\frac{5}{4} x - 2 = \frac{3}{2} x-4

Step-by-step explanation:

a.

\frac{5}{2} x +\frac{7}{2} =\frac{3}{4} x+14 \\\frac{5}{2}x -\frac{3}{4} x=14-\frac{7}{2} \\\frac{10-3}{4} x =\frac{28-7}{2} \\\frac{7}{4} x =\frac{21}{2} \\x = \frac{21}{2} * \frac{4}{7} = 6 \\

b.

\frac{5}{4} x -9 = \frac{3}{2} x-12 \\\frac{5}{4} x - \frac{3}{2} x= -12 + 9 \\\frac{5-6}{4} x = -3 \\\frac{-1}{4} x = -3 \\x = -3 * -4 \\x = 12

c.

\frac{5}{4} x-2=\frac{3}{2} x-4 \\\frac{5}{4} x-\frac{3}{2} x=-4+2 \\\frac{5-6}{4}x=-2 \\\frac{-1}{4} x = -2 \\x = -2 * -4 \\x = 8

d.

\frac{5}{2} x -7 = \frac{3}{4} x+14 \\\frac{5}{2}x -\frac{3}{4} x=14+7 \\\frac{10-3}{4} x =21 \\\frac{7}{4} x =21 \\x = 21 * \frac{4}{7} = 12 \\

You could also replace x for 8 in every equation and see if both sides give the same answer

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20+25 divided by 2 +23.75 - 42.15 = 4.100...
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3 years ago
PLEASE HELP ILL MARK BRAINLIEST !!!
Alexus [3.1K]

Answer:

a) the common difference is 20

b) x_8=115 , x_{12}=195

c) the common difference is -13

d) a_{12}=52, a_{15}=13

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: x_n=x_1+(n-1)d

We know common difference d= 20, we need to find x_1

Using x_3=16 we can find x_1

x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25

So, We have x_1 = -25

Now finding x_8

x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115

So, \mathbf{x_8=115}

Now finding x_{12}

x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195

So, \mathbf{x_{12}=195}

c) what is the common difference of the sequence a_m

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: a_n=a_1+(n-1)d

We know common difference d= -13, we need to find a_1

Using a_7=104 we can find x_1

a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195

So, We have a_1 = 195

Now finding a_{12} , put n=12

a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52

So, \mathbf{a_{12}=52}

Now finding a_{15} , put n=15

a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13

So, \mathbf{a_{15}=13}

5 0
3 years ago
The graph shows outdoor temperatures (°F) recorded one fall evening in Ohio. At what
k0ka [10]

Answer: Answer is D, if I'm not mistaking

Step-by-step explanation:

sorry if im wrong.

5 0
2 years ago
Help me please!!
snow_tiger [21]

Answer:

Imma say C...It makes the most sense!

Step-by-step explanation:

Have a good night!

6 0
2 years ago
Help pleasee thank you so much in advance
Solnce55 [7]

Answer:

120

Step-by-step explanation:

180 subtract 60 equals 120

6 0
3 years ago
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