MATHEMATICS HIGH SCHOOL

How to solve this equation by elimination?<br />
2x+5y=4 and 7x+y=-19

Answers

Answer 1
Answer: Multiply 7x+y=-19 by 5 to have the same value of y. Then subtract one from the other.

35x+5y=-95
-
2x+5y=4.

You get a result of 33x=-99
X=-3

Substitute the x into one of the original equations.

2*-3 +5y= 4
5y=4+6
Y=2

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3.9 point is equivalent to how many tenths?

Answers

Answer with explanation:

3.9= 3 ones + 9 Tenths

1 ones =10 Tenths

3 ones =3 × 10 Tenths=30 Tenths

3.9=30  Tenths +9  Tenths

    =39 Tenths

So, 39 Tenth

     =(39)/(10)\n\n=3.9
10 is in 3, so that's 30. There's another 9.

30 + 9 = 39.

39 tenths.

A concert charges $24.50 per daily adult ticket and $13.75 per child’s ticket. A group of 90 people paid $1560.00 for tickets. Write a system of equations that could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased?I know the answer i just need to know how to solve it. Thanks :)

Answers

x=adults
y=childern

x+y=90
24.50x+13.75y=1560

so
mutliply the first equation by -13.75 and add to second equaiton

-13.75x-13.75y=-1237.5
24.50x+13.75y=1560 +
10.75x+0y=323

10.75x=322.5
divide both sides by 10.75
x=30

x=30
sub back

x+y=90
30+y=90
minus 30 both sides
y=60


x=30
y=60
30 adults
60 kids

The US exports 200 billion pounds of coal. How many tons does the US export?

Answers

200 billion is 200,000,000,000 lbs
1 ton is 2,000 lbs.
So 200,000,000,000/2,000 = 100,000,000 tons or 100 million tons.
2,000 = 1 ton .  2,000,000,000/2,000 = 1,000,000,000 or 100 million tons

The sum of the interior angles of a quadrilateral equals 360°.
a. True
b. False

Answers

a true cause it is equal to 360
A.True a quadrilateral equals 360 degrees

If x, y, and z are integers greater than 1, and (327)(510)(z) = (58)(914)(xy), then what is the value of x? (1) y is prime (2) x is prime

Answers

Answer:

1) 5

2) 5

Step-by-step explanation:

Data provided in the question:

(3²⁷)(5¹⁰)(z) = (5⁸)(9¹⁴)(x^y)

Now,

on simplifying the above equation

⇒ (3²⁷)(5¹⁰)(z) = (5⁸)((3²)¹⁴)(x^y)

or

⇒  (3²⁷)(5¹⁰)(z) = (5⁸)(3²⁸)(x^y)

or

⇒ ((3^(27))/(3^(28)))((5^(10))/(5^8))z=x^y

or

⇒((5^2)/(3))z=x^y

or

⇒(5^2)/(3)=(x^y)/(z)

we can say

x = 5, y = 2 and, z = 3

Now,

(1) y is prime

since, 2 is a prime number,

we can have

x = 5

2) x is prime

since 5 is also a prime number

therefore,

x = 5

- ( 8x + 8 ) = 4 - 4 x

Answers

Distribute: -8x-8=4-4x
Isolate the variables from the constants: -8x+4x=4+8
Combine linked terms: -4x=12
Divide by -4: x=-3 
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