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3 years ago

What is the solution to 4(y-3)+19=8(2y+3)+7

Mathematics

1 answer:

Effectus [21]3 years ago

3 0

Answer:

Y = -1.2 OR - 1 1/5

Step-by-step explanation:

4(y-3)+19=8(2y+3)+7 First, simplify the problem by multiplying the numbers outside of the ()’s by the numbers inside the ()’s

4y-12+19=16y+24+7 Next, simplify again by combining like terms (EX: -12 + 19 = 7)

4y+7=16y+31. Then, get Y by itself.

-4y +4y

7=20y+31

-31 -31

-24=20y. (Divide to get Y by itself)

/20 /20

-1.2 = Y or - 1 and 1/5 = Y

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Can someone help me please

svp [43]

Answer:

Step-by-step explanation:

if the area is 1/4 that would mean that the sides are equal to 1/2. if you stretch 1/2 out 4 times longer that would be equal to 2. 2 x 2 = 4

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2 years ago

At 82°F, a certain insect chirps at a rate of 61 times per minute, and at 91°F, they chirp 124 times per minute. Write an equati

Ganezh [65]

Answer:

$y=7x-513$

Step-by-step explanation:

Let

x----> the temperature in degrees Fahrenheit

y ---->insect chirping rate in times per minute

we have the ordered pairs

(82,61) and (91,124)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{124-61}{91-82}$

$m=\frac{63}{9}=7$

step 2

Find the equation of the line

we know that

The equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=7$ ---> the units are chirps per minute/degree F

take the point (82,61)

substitute and solve for b

$61=7(82)+b$

$61=574+b$

$b=-513$

substitute

$y=7x-513$

4 0

3 years ago

Find what n equals 8(2n-2) = 4 - 4n (explanation please)

slavikrds [6]

Answer:

$\huge\boxed{n=1}$

Step-by-step explanation:

In order to find the value of n that satisfies this equation, we can perform a series of algebraic steps on it to solve for n.

$8(2n-2) = 4- 4n$
Distribute in the 8 on the left side:
$16n-16=4-4n$
Add 4n to both sides
$20n-16=4$
Add 16 to both sides
$20n = 20$
Divide both sides by 20
$n=1$

Therefore, n=1 is the value of n that satisfies this equation.

Hope this helped!

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3 years ago

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Simplify the following expressions. All answers should be in standard form.

Ratling [72]

Answer:

The given expression in simplified form is: $15x^2+10x$

Step-by-step explanation:

Simplifying the expression involve reducing the number of terms to minimum and making the expressions in standard form.

This may involve addition, subtraction and multiplication of variables.

Given expression is:

$5x(3x+2)$

Distributing 5x will give us:

$= 5.3.x.x + 5.2.x\\=15x^2+10x$

Hence,

The given expression in simplified form is: $15x^2+10x$

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3 years ago

Solve the equation below 5 - 1/2x = 5/8x + 2

Vanyuwa [196]

X = 8/3

I hope this helped!

4 0

3 years ago

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