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3 years ago

How do i solve 5-(x+7) +4x=7(x-1) ?

Mathematics

1 answer:

jonny [76]3 years ago

3 0

Answer:

x= 5/4

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain x.

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A library labels each book with a six-character code to identify the book in its computer system. The first character is either

mote1985 [20]

Answer: There are 24336000 different codes that are possible.

Step-by-step explanation:

We know that,

Total alphabets = 26

Total digits = 10

Choices for First place = 26+10=36

Choices for next 3 places = 10 x 10 x 10 = 1000

Choices for last 2 places = 26 x 26 = 676

Total different codes are possible = 36 x 1000 x 676

=24336000

Hence, there are 24336000 different codes that are possible.

4 0

3 years ago

Use the number line below, where RS = 9y +3, ST = 3y + 4, and RT = 17y - 33.

zavuch27 [327]

Answer:

R___S___T

RT=RS+ST

(17y-33) =( 9y+3)+(3y+4)

17y-33 = 12y+ 7

17y - 12y = 7+33

5y= 40

y=40/5

y= 8

RS = 9y+3 = 9(8)+3= 72+3=75

ST= 3y+4 = 3(8)+4=24+4=28

RT= 17y-33= 17(8)-33= 136-33= 103 —>

<u>Or</u><u> </u><u>;</u> RT=RS+ST =75+28= 103

I hope I helped you^_^

4 0

3 years ago

How many tens, hundreds, thousandten thousands are listed in the numbers below.

nordsb [41]

#1. 50 tens or 5 hundreds

#2. 110 tens, 11 hundreds, or 1 thousand 1 hundred

#3. 300 tens, 30 hundreds, or 3 thousands.

#4. 2500 tens, 250 hundreds, 25 thousands, or 2 ten thousands 2 thousands

#5. 6000 tens, 600 hundreds, 60 thousand, or 6 ten thousands.

#6. 11000 tens, 1100 hundreds, 110 thousands, or 11 ten thousands.

#7. 2500 tens, 250 hundreds, 25 thousands, or 2 ten thousands 5 thousands

#8.90000 tens, 9000 hundreds, 900 thousands, or 90 ten thousands

8 0

3 years ago

PLEASE HELP!!!!

wel

Answer:

Mike is not right

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

Let

z----> the scale factor

x----> surface area of the enlarged rectangular prism

y-----> surface area of the original rectangular prism

$z^{2}=\frac{x}{y}$

In this problem we have

$z=2$

substitute

$2^{2}=\frac{x}{y}$

$4=\frac{x}{y}$

$x=4y$

The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism

therefore

Mike is not right

<em>Verify with an example</em>

we have a rectangular prism

$L=5\ m$

$W=2\ m$

$H=3\ m$

The surface area of the prism is equal to

$SA=2(LW)+(2L+2W)H$

substitute the values

$SA=2*(5*2)+(2*5+2*2)*3=62\ m^{2}$

If he doubles each dimension of any rectangular prism

then

the new dimensions will be

$L=5*2=10\ m$

$W=2*2=4\ m$

$H=3*2=6\ m$

The new surface area will be

$SA=2*(10*4)+(2*10+2*4)*6=248\ m^{2}$

$248/62=4$

therefore

The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism

8 0

3 years ago

Annie invests $400 in a bank that offers 5.5% simple annual interest after 6 years her investment will increase by blank dollars

Zinaida [17]

Answer:

Her investment will increase by <u>551.54</u> dollars

Step-by-step explanation:

So we know that the exponential function formula is f(x)=a(1+r)^x

So knowing that we can input values

So now we have f(x)=400(1+0.055)^6

Since it is annual we will only have the interest yearly so that changes are equation to look like this f(x)=400(1+0.055/1)^6

So next we have to add 1 and 0.055 which is 1.055

So we input that into the equation so now we have f(x)=400(1.055/1)^6

Now we have to do (1.055/1) to the power of six, so we get 1.37884280676

Now we have to 1.37884280676 times 400, which would be 551.537122705.

Assuming they want to the nearest 100th it would be 551.54

So the answer is <u>551.54 dollars</u>

Hopefully, that helped. If I made any mistake or I am incorrect feel free to correct me. :)

5 0

3 years ago