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3 years ago

8 = y + 3 solve for the variable

Mathematics

2 answers:

Dominik [7]3 years ago

6 0

$8 = y + 3 \\ - 3 - 3 \\ 5 \\ y = 5$

jenyasd209 [6]3 years ago

4 0

Answer:

Step-by-step explanation:

8 = y + 3

8 - 3 = y + 3 - 3

5 = y

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A straight fence is constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. A certain fence begins a

Ket [755]

Answer: 72 ft

Step-by-step explanation:

Given

The width of a post is $w=6\ in.$

Posts are separated by $5\ ft$ chain

for 2 posts, length is $6+5+6=17\ ft$

for 3 posts, length is $6+5+6+5+6=28\ ft$

for 4 posts, it is $28+5+6=39$

i.e. 11 ft is adding on the addition of another post

for 7 posts it is $17+11\times 5=72\ ft$

Thus, the total length of the fence is $72\ ft$

4 0

3 years ago

$2000 was borrowed for 4 years with an interest rate of 3% compounded annually. What is the total amount owed at the end of the

kompoz [17]

Answer:

$\$2,251.02$

Step-by-step explanation:

we know that

The compound interest formula is equal to

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

where

A is the total amount owed

P is the amount of money borrowed

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=4\ years\\ P=\$2,000\\ r=3\%=3/100=0.03\\n=1$

substitute in the formula above

$A=2,000*(1+\frac{0.03}{1})^{1*4}$

$A=2,000*(1.03)^{4}$

$A=\$2,251.02$

4 0

3 years ago

Read 2 more answers

Which gives 44+100 as a product of GCF and a sum?

Mariana [72]

(4 x 11) + (4 x 25) = 4 x 36 = 144

8 0

4 years ago

You’ve been saving your allowance to buy some new video games you head to the mall to do some shopping you say that two stores a

vodomira [7]

Answer:

Game World-four for 68-------------------> 68/4= $17 per game

Best Bargains: six for 99--------------------> 99/6= $16.5 per game

Ans) B.B has the better deal as you can buy a more amount of games in lesser money in comparison to Game World, where you have to spend aprroximately $3 more.

5 0

3 years ago

Find the equation of the line of the circle passing through the points (1,2) (3,-4) (5,-6)

Cerrena [4.2K]

Answer:

(x-11)² + (y-2)² = 10²

Step-by-step explanation:

Given circle passes through

P(1,2), Q(3,-4), R(5,-6)

Assume following circle with centre O(a,b) and radius r contains P,Q,R.

(x-a)²+(y-b)² = r^2 ...........(1)

Substitute P in (1) and expand, simplify

(1-a)²+(2-b)²=r²

a²+b² -2a-4b+5-r²=0 .......(2)

Similarly, substitute Q in (1) and expand, simplify

(3-a)²+(-4-b)² = r²

a²+b²-6a+8b+25-r²=0 ...........(3)

Similarly, substitute R in (1) and expand, simplify

(5-a)²+(-6-b)² = r²

a²+b²-10a+12b+61-r²=0 ...........(4)

We can now eliminate a^2 and b^2 by simple subtractions

(2) - (3)

4a-12b-20 = 0 ..........(5)

(3) - (4)

4a-4b-36 = 0 .............(6)

Finally, (6) - (5) and solve for b

8b - 16 = 0

b=2 ..............................(7)

substitute b in (5) and solve for a

4a-12(2) -20 =0

4a=44

a=11 ................................(8)

Finally, substitute a & b in (2) to solve for r

r^2 = 11²+2²-2*11-4*2+5 = 121+4-22-8+5 = 100

r=sqrt(100) = 10 (positive value only)

therefore the equation of the circle is

(x-11)² + (y-2)² = 10²

6 0

3 years ago