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svetoff [14.1K]
3 years ago
12

Solve this equation. Enter your answer in the box. 75 – 3.5y – 4y = 4y + 6

Mathematics
2 answers:
Wewaii [24]3 years ago
5 0

y=6

Step-by-step explanation:

75 - 3.5y - 4y = 4y + 6

Collect like terms and simplify

- 3.5y + 4y - 4y = 6 - 75 \\  - 11.5y =  - 69

Divide both sides of the equation by-3.5

\frac{ - 11.5y}{ -11.5}  =  \frac{ - 69}{ - 11.5}

Simplify

y = 6

Elodia [21]3 years ago
4 0

Answer:

y = 6

Step-by-step explanation:

Add like terms: 75 - 7.5y = 4y +6

subtract 6 from both sides: 69 - 7.5y = 4y

add 7.5y to both sides: 69 = 11.5y

divide both sides by 11.5: 6 = y

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Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

7 0
3 years ago
What is the sum of the first 47 terms of the sequence? -215, -201, -187, -173, ...​
Andru [333]

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

=  [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

=  [ (2 × - 215) + (46 × 14) ]

    = 23.5 (- 430 + 644)

   = 23.5 × 214

   = 5029

6 0
3 years ago
What is the future value for a savings account that had $825 deposited in it for 10 years. The
Goshia [24]

Answer:

The answer is 2145$

Step-by-step explanation:

825×0.04=33

Once every quarter of a year means the number of years × 4 = 10×4=40

So

33×40 =1320$

1320+825=2145$

7 0
3 years ago
The area of a semicircle is 0.2512 square inches. What is the semicircle's radius?​
san4es73 [151]

Answer:

0.28277

I got this by plugging in 0.2512 for "A" ( A = π r² ) Then I solved the rest ( divide both sides by pie, then taking the square root from that.

Step-by-step explanation:

Cos Milky Said it.

7 0
3 years ago
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