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avanturin [10]
1 year ago
10

The perimeter of a rectangle is 78 cm. If the length is 24 cm, how wide is the rectangle?

Mathematics
1 answer:
KIM [24]1 year ago
8 0

Answer:

15(cm)

Step-by-step explanation:

48 + 2w = 78

2w = 30

w = 15(cm).

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A system of equations is given below.
MAVERICK [17]
First, solve the given system of linear equations.

Second, multiply the first equation by 4 (which was an arbitrary choice).  Add your result to the 2nd equation.

You should now have the following:

First equation:  No change:             <span>2x + 7y = 1

Second equation:  4(</span><span>-3x – 4y = 5) = -12x -16y = 20

Solve this new system of linear equations.  Do you (or do you not) obtain the same solution as your earlier one?</span>
5 0
3 years ago
Solve the inequality 171&gt;-6x and graph the solution what does the graph look like
krok68 [10]

To solve the inequality, you need to isolate/get x by itself:

171 > -6x    Divide -6 on both sides [dividing/multiplying a negative number on

-28.5 < x      [dividing/multiplying a negative number in an inequality causes the sign (<, >, ≤, ≥) to flip]

-28.5 < x    [x is a number greater than -28.5]

So your graph should have an open circle at -28.5 (the first small line next to -28), and the arrow pointing to the right since x is greater than -28.5 (increasing)      The 1st option is your answer

[use the o---> and put it at -28.5]

7 0
3 years ago
If a person starts investing $100 per month starting at age 21, and that money earns a 5% return every year, how much will this
aalyn [17]

The formula for calculating compound interest with yearly contributions is:

Balance = X*(1 + Y)^n + Z((1 + Y)^(n + 1) - (1 + Y)/Y)

where the balance is the money earned after n years invested

Y is the interest rate as a fraction

Z is the yearly contribution

X is the starting investment

Therefore the calculation for this example is:

Balance = 1200*(1 + 0.05)^48 + 1200((1.05)^49 - (1.05)/05)

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8 0
3 years ago
Read 2 more answers
Write an equation in standard form given: m= -3/4 and b=5.
Dmitry [639]

Answer:

3x+4y=20

Step-by-step explanation:

The slope-intercept equation would be:

y=mx+b

y=-3/4(x)+5

But standard form is

ax+by=c

We can obtain this by moving the -3/4(x) to the left side

\frac{3x}{4} +y=5

Multiply both sides by 4 to get rid of the fraction

3x+4y=20

5 0
2 years ago
Please help i need this as soon as possible
masya89 [10]
It's a quadratic so the parent function will be
y = x ^{2}
We can see that it has been shifted to the right 5 units, which gives us a new function
y = (x - 5) ^{2}
It has also been shifted up 9 units:
y = (x - 5) ^{2}  + 9
But it has also been flipped across the y-axis which makes this the final change we need to do:
y =  - (x - 5) ^{2}  + 9
8 0
3 years ago
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