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Vadim26 [7]
2 years ago
14

PLEASE HELP 100 POINTS GUARANTEED! PLEASE PUT THE ANSWER IN AN ALGEBRAIC EXPRESSION!!! ANSWER ALL AND YOU WILL RECEIVE BRAINLIES

T
1. Negative two is equivalent to the quotient of a number and four added to one.
2. The sum of three-fourths of a number and eleven is fourteen.
3. Zero equals two-thirds a number decreased by twelve.
Mathematics
1 answer:
zlopas [31]2 years ago
7 0

Answer:

1.

-2 = x/4 + 1

Subtract 1 from both sides:

-2 - 1 = x/4 + 1 - 1

-3 = x/4

Multiply both sides by 4:

-3 * 4 = x/4 * 4

-12 = x

2.

3x+5

3.

X= 12 or 18

This could be read two different ways.

0=2/3x-12

12=2/3x

12÷2/3=x

12*3/2=x

18=x

—-OR—-

0=2/3(x-12)

0=2/3x-8

8=2/3x

8÷2/3=x

8*3/2=x

12=x

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Answer:

7.14

Step-by-step explanation:

7 0
3 years ago
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The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?
omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

T_5 = 160

T_7 = 40

Required

T_6

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

\frac{T_7}{T_5} = \frac{40}{160}

Divide the numerator and the denominator of the fraction by 40

\frac{T_7}{T_5} = \frac{1}{4} ----- equation 1

Recall that the formula of a GP is

T_n = a r^{n-1}

Where n is the nth term

So,

T_7 = a r^{6}

T_5 = a r^{4}

Substitute the above expression in equation 1

\frac{T_7}{T_5} = \frac{1}{4}  becomes

\frac{ar^6}{ar^4} = \frac{1}{4}

r^2 = \frac{1}{4}

Square root both sides

r = \sqrt{\frac{1}{4}}

r = ±\frac{1}{2}

Next, is to solve for the first term;

Using T_5 = a r^{4}

By substituting 160 for T5 and ±\frac{1}{2} for r;

We get

160 = a \frac{1}{2}^{4}

160 = a \frac{1}{16}

Multiply through by 16

16 * 160 = a \frac{1}{16} * 16

16 * 160 = a

2560 = a

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

T_n = a r^{n-1}

Here, n = 6;

T_6 = a r^{6-1}

T_6 = a r^5

T_6 = 2560 r^5

r = ±\frac{1}{2}

So,

T_6 = 2560( \frac{1}{2}^5) or T_6 = 2560( \frac{-1}{2}^5)

T_6 = 2560( \frac{1}{32}) or T_6 = 2560( \frac{-1}{32})

T_6 = 80 or T_6 = -80

T_6 =±80

Hence, the 6th term is positive/negative 80

8 0
3 years ago
The orange shape is a dilation of the black shape
grigory [225]

Answer:

 1/4

Step-by-step explanation:

The orange shape is 3 units tall and 4 units wide. The black shape is 12 units tall and 16 units wide. The scale factor is ...

 orange/black = 3/12 = 4/16 = 1/4

<h2 />
7 0
3 years ago
Find the sticker price and dealer's cost for the Tarop Series car. The base price given is $24,990.00. The options for the Tarop
podryga [215]

Alright, lets get started.

The base price is given : $ 24990

The dealer pays 76% of the base price means

he pays for base price : 24990 * \frac{76}{100}

he pays for base price : $ 18992.4

For options, total : 868 + 452 + 1260 = 2580

He pays 88% for options, means

he pays for options : 2580 * \frac{88}{100}

he pays for options : $ 2270.4

So, total dealer pays : 18992.4 + 2270.4 + destination charges

So, total dealer pays : 18992.4 + 2270.4 + 630 = $ 21892.8

Hence dealer's cost : $ 21892.8

Price of sticker will be : 24990 + 868 + 452 + 1260 + 630

Price of sticker will be : $ 28200

dealer's cost : $ 21892.8

Hope it will help :)

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Answer:

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