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Damm [24]
3 years ago
7

Solve 7x-4 = 5x+15 for x

Mathematics
1 answer:
tatiyna3 years ago
6 0

\bf{Hey\ there!}

\bf{7x-4 = 5x+15}

\bf{\underline{Subtract}\ 5x\ from\ \ on \ both\ of\ your\ sides!\downarrow}

\bf{7x-4-5x=5x+15-5x}

\bf{2x-4=15}

\bf{\underline{Add}\ by\ 4\ on\ each\ of\ your\ sides!\downarrow}

\bf{2x-4+4=15+4}

\bf{Cancel:-4+4\ because\ it\ equals\ 0}

\bf{Keep:15+4\ because\ it\ helps\  us\ solve\ for\ your\ answer}

\bf{15+4=19}

\bf{2x=19}

\bf{\underline{Divide}\ by\ 2\ on\ your\ sides!\downarrow}

\bf\frac{2x}{2}=\frac{19}{2}}

\bf{Cancel:\frac{2x}{2}\ because\ that\ gives\ you\ 1}

\bf{Keep:\frac{19}{2}\ because\ it\ gives\ you\ the\ the\ value\ of\ x}

\boxed{\boxed{\bf{Answer:x=\frac{19}{2}}}}\checkmark

\bf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}

\frak{LoveYourselfFirst:)}

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What is the slope of the graph of y=−8x+15 ?
Allisa [31]

See the file attached (photo) above - That is the graph for (-(8*x))+15

Graph the line using the slope and y-intercept, or two points.

Slope: −8

y-intercept: (0,15)

x y

0 15

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6 0
3 years ago
1,030 at 4% compounded semiannually for 2 years
kotegsom [21]

Answer: $1114.91

Step-by-step explanation:

The formula for compound interest is

A= P(1+\frac{r}{n})^{nt}  \\

Where

A = final amount

P = initial principal balance (1030 for this)

r = interest rate (0.04 for this)

n = number of times interest applied per time period (2 for this)

t = number of time periods elapsed (2 for this)

A= 1030(1+\frac{.04}{2})^{(2)(2)}  \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125

This rounds up to $1114.91

6 0
3 years ago
A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to cover the pool if the cover must hang
Alika [10]

Answer:

531.167 ft²

Step-by-step explanation:

Given data

Dimension of pool

Diameter =24ft

Radius =12ft

If the cover must hang by 1ft around, then the diameter is 26ft

Radius =13ft

Area of cover = πr²

Substitute

Area = 3.142*13²

Area =3.143*169

Area =531.167 ft²

Hence the minimum area is 531.167 ft²

5 0
3 years ago
Subtract:<br> 7' 5" – 2' 8" =
yKpoI14uk [10]

Answer:

4'9"

Method 1:

First, convert both numbers into inches. Remember that 1' = 12", and the rest is like a remainder.

7'5" = (7*12)+5 = 84+5 = 89

2'8" = (2*12)+8 = 24+8 = 32

Next, subtract the two numbers.

89 - 32 = ?

89 - 32 = 57

There's your answer! You can change it back into feet by dividing it by 12.

57 / 12 = 4.75 = 4'9"

Method 2:

Another way of solving this problem is to borrow from the "feet" place.

7'5" - 2'8"

You can't take 8 away from 5, so you borrow from the "feet" place. Remember that unlike normal borrowing, you need to add 12 instead of adding 10.

6'17" - 2'8" = 4'9"

Whichever method you choose, you should get the same answer!

5 0
3 years ago
Read 2 more answers
To rent a boat, you pay for an initial fee plus. John rented a boat for 3 hours and paid $41. Jessica rented a boat for 6 hours
8090 [49]

Answer:

The intial fee is $5

The equation to represent this is: y=12x+5

12 is the cost per hour    x=hours  y=total cost  

Step-by-step explanation:

77-41=36

36/3=12

12*6=72

77-72=5

6 0
3 years ago
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