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Vikki [24]
3 years ago
7

What is the value of x in this equation? Enter your answer in the box.​

Mathematics
2 answers:
NikAS [45]3 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} ⇔ a^{(m+n)}

Consider

10³ × 10^{x} = 10^{9}, then

10^{3+x} = 10^{9}

Equating exponents

3 + x = 9 ( subtract 3 from both sides )

x = 6

Oduvanchick [21]3 years ago
7 0

Answer:

x=6

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases, then solve for x.

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40 tickets were sold for a concert, some at 75 cents and the rest at $1.25. if the total raised was $42, how many had the cheape
Murljashka [212]

Answer:

34

Step-by-step explanation:

$1.25 = 125 cents.

$42 = 4200 cents

Tickets sold at 75 cents = x

Tickets sold at 125 cents = y

x + y = 40

75x + 125y = 4200

Multiply the first equation by 75

75x + 75y = 3000

75x + 125y = 4200

Subtract the the second equation from the first.

75x + 75y = 3000

- 75x + 125y = 4200

-------------------------------

0 - 150y = - 1200

Divide both sides by - 150

-150y/-150 = -1200/-150

y = 8

Substitute y = 8 into the first equation

x + y = 42

x + 8 = 42

x = 42 - 8

x = 34

34 tickets were sold for 75 cents

8 tickets were sold for $1.25

3 0
3 years ago
12.20h - 7.15 = 90.45
zhannawk [14.2K]

Answer:

H=8

Step-by-step explanation:

12.2H-7.15=90.45

12.2H=90.45+7.15

12.2H=97.6

H=8

6 0
3 years ago
Read 2 more answers
What are the four points of intersection between 4x^2 + y^2 - 4y - 32 = 0 and x^2 - y - 7 = 0 ? Solve algebraically
tensa zangetsu [6.8K]
Remember (a²-b²)=(a-b)(a+b)

solve for  a single variable
solve for y in 2nd

add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton

4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero

x-3=0
x=3

x+3=0
x=-3

x-√5=0
x=√5

x+√5=0
x=-√5


sub back to find y

(x²-7)=y

for x=3
9-7=2
(3,2)

for x=-3
9-7=2
(-3,2)

for √5
5-7=-2
(√5,-2)

for -√5
5-7=-2
(-√5,-2)


the intersection points are

(3,2)
(-3,2)
(√5,-2)
(-√5,-2)
8 0
3 years ago
Plzz answer this fasttttttttt​
erica [24]

Answer:

37°

This is because the square indicates a right angle.

53 - 90 = 37

3 0
3 years ago
Read 2 more answers
Will mark the brainliest i havent chosen an answer but I pressed accidentally
Anna [14]
The full answer is 20.125 but it says to round so the answer is C. 20.13
7 0
3 years ago
Read 2 more answers
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