MATHEMATICS MIDDLE SCHOOL

16x-10y=10
-18x-6y=6

solve it using the elimination method

Answers

Answer 1
Answer: 16x-10y=10
-18x-6y=6
either get x or y as opposites
48x-30y=30
90x+30y=-30
eliminate
138x=0
x=0
sub x in either equation
0-10y=-10 or 0-6y=6
y=1

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How do you solve 5(x+4) = 3x + 23

Answers

5(x+4) = 3x + 23 

 5x+20=3x+23 

5x-3x=23-20 

2x=3 

x=3/2
5 (X + 4) = 3X + 23

5X + 20 = 3X + 23

5X - 3X = 23 - 20

2X = 3

X = 3/2

X = 1 1/2

the cylindrical fish tank shown bellow has a height of 25 inches and a volume of 5,625 pie cubic inches. that is the diameter of the fish tank?

Answers

r = square root of V/πh

r = square root of 5625/78.l5

r = 8.46

D = 16.92

Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. Find the largest number

Answers

we take each number as x = 2x 3x 4x 
(2x)³+(3x)³+(4x)³=33957
8x³+27x³+64x³=33957
99x³=33957
x³=33957÷99
 =∛343
x=7
2x=2×7=14
3x=3×7=21
4x=4×7=28
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Gerry has two different part-time jobs, and he had work 20 hours per week at each job. He earns $8 per hour at one job. Which expression represents how much Gerry earned last week if he earns d dollars per hour at this other job?A- 20+20d
B- 160+ 20d
C- 40+ d
D- 160+ 8d
                                PLZZZZZZ ANSWER THX!!!!!!

Answers

The correct answer for the question that is being presented above is this one: "Last week's earnings = 40d."

Gerry has two different part-time jobs, and he had work 20 hours per week at each job. He earns $8 per hour at one job. 

Last week's earnings = 20d + 20d
Last week's earnings = 40d.

20d+20Answer:

Step-by-step explanation:

what is the length of a diagonal of the a rectangular picture whose sides are 12 inches by 17 inches. Round to the nearest tenth of an inch

Answers

using Pythagorean theorem:
12^2+17^2=c^2
144+289=c^2
433=c^2
20.81=c

A cone has a base radius of 7 centimeters and a height of 21 centimeters.What is the volume of the cone?

A.
28π cm3

B.
49π cm3

C.
147π cm3

D.
343π cm3
*there is no pic*

Answers

V=(1/3)hpir^2
r=7
h=21
V=(1/3)21pi7^2
V=7pi49
V=343pi cm^3

answer is D
V= π·r²·h/3 is the formula to calculate this.

So, V= 3.14 · 7² · 21/3 

Remember to use PEMDAS
 
Exponents are first so:

V= 3.14 · 49 · 21/3

Now division:

V= 3.14 · 49 · 7

Now multiply from left to right:

V= 153.86 · 7

V=  1077.02 

But, in your case, the answer is D) 343π cm³
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