Bryson’s dad is 38 years old. if there is four years less than three times brysons age, how old is bryson?

Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.

3241004551 [841]

Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.Housing $612
Food $238
Transportation $370
What is the problem with this budget?
The answer is => She has allotted more than 36% of her income for housing

8 0

3 years ago

Read 2 more answers

1.64 written as fraction in simplest form

erastovalidia [21]

$1.64 = \frac{1.64 \times 100}{1 \times 100} = \frac{164}{100} = \frac{41\times 4}{25\times 4} = \boxed {\frac{41}{25} }$

8 0

3 years ago

3/4x=-18 what is the answer?

Afina-wow [57]

Answer:

X= 24

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3/4*x-(18)=0

Step by step solution :

Step 1 :

3

Simplify —

4

Equation at the end of step 1 :

3

(— • x) - 18 = 0

4

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

18 18 • 4

18 = —— = ——————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (18 • 4) 3x - 72

————————————— = ———————

4 4

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

3x - 72 = 3 • (x - 24)

Equation at the end of step 3 :

3 • (x - 24)

———————————— = 0

4

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

3•(x-24)

———————— • 4 = 0 • 4

4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

3 • (x-24) = 0

Equations which are never true :

4.2 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3 Solve : x-24 = 0

Add 24 to both sides of the equation :

x = 24

One solution was found :

x = 24

6 0

3 years ago

Write the equation of the line that passes through (−3,1) and (2,−1) in slope-intercept form

Alex787 [66]

Answer:

$y=-\frac{2}{5}x-\frac{1}{5}$

Step-by-step explanation:

The equation of a line is y = mx + b

Where:

m is the slope

b is the y-intercept

First, let's find what m is, the slope of the line.

Let's call the first point you gave, (-3,1), point #1, so the x and y numbers given will be called x1 and y1.

Also, let's call the second point you gave, (2,-1), point #2, so the x and y numbers here will be called x2 and y2.

Now, just plug the numbers into the formula for m above, like this:

$m = -\frac{2}{5}$

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

$y=-\frac{2}{5}x + b$

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-3,1). When x of the line is -3, y of the line must be 1.
(2,-1). When x of the line is 2, y of the line must be -1.

Now, look at our line's equation so far: $y=-\frac{2}{5}x + b$ . $b$ is what we want, the - $-\frac{2}{5}$ is already set and x and y are just two 'free variables' sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,1) and (2,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want. The answer will be the same:

(-3,1). y = mx + b or $1=-\frac{2}{5} * -3 + b$ , or solving for b: $b = 1-(-\frac{2}{5})(-3)$ . $b = -\frac{1}{5}$ .
(2,-1). y = mx + b or $-1=-\frac{2}{5} * 2 + b$ , or solving for b: $b = 1-(-\frac{2}{5})(2)$ . $b = -\frac{1}{5}$ .