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3 years ago

-24x -15 = -27. Step by step explanation on how to solve this problem.

Mathematics

2 answers:

umka2103 [35]3 years ago

8 0

Answer:

1/2 or 0.5

Step-by-step explanation:

-24x - 15 = -27

-24x - 15 + 15 = -27 + 15

-24x = -12

x = 1/2 or 0.5

Jet001 [13]3 years ago

7 0

Answer:

x = $\frac{1}{2}$

Step-by-step explanation:

Given

- 24x - 15 = - 27 ( add 15 to both sides )

- 24x = - 12 ( divide both sides by - 24 )

x = $\frac{-12}{-24}$ = $\frac{1}{2}$

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Answer:

d)c=4.20h

Step-by-step explanation:

the rate is 16.80 /4

4.20 per hour

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3 years ago

Denisa is saving for a new bicycle. The bicycle cost $89. So far, Denisa has earned $54 babysitting. What percent of the total c

xz_007 [3.2K]

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3 years ago

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Find the intersection points using substitution or elimination for each system of equations:

natka813 [3]

Answer:

Step-by-step explanation:

Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.

Problem 1:

(x²)/4 +y²= 1

y= x+1

*substitute for y*

Now we have a one-variable equation we can solve-

x²/4 + (x+1)² = 1

x²/4 + (x+1)(x+1)= 1

x²/4 + x²+2x+1= 1

*subtract 1 from both sides to set equal to 0*

x²/4 +x^2+2x=0

x²/4 can also be 1/4 * x²

1/4 * x² +1*x² +2x = 0

*combine like terms*

5/4 * x^2+2x+ 0 =0

now, you can use the quadratic equation to solve for x

a= 5/4

b= 2

c=0

the syntax on this will be rough, but I'll do my best...

x= (-b ± √(b²-4ac))/(2a)

x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))

x= (-2 ±√(4-0))/(2.5)

x= (-2±2)/2.5

x will have 2 answers because of ±

x= 0 or x= 1.6

now plug that back into one of the equations and solve.

y= 0+1 = 1

y= 1.6+1= 2.6

Hopefully this explanation was enough to help you solve problem 2.

Problem 2:

x² + y² -16y +39= 0

y²- x² -9= 0

6 0

3 years ago

What's 1 and 2/3 times 1 and 1/3?

kari74 [83]

<span>1 and 2/3 time 1 and 1/3 is 2.22222222222 which rounds to 2.</span>

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3 years ago

Read 2 more answers

ANSWER THIS PLEASE ASAP

Talja [164]

Answer: a.) 72 of each type of animal, for a total of 216

b.) 16 grown cats, 4 kittens

Step-by-step explanation:

part a. It's a distribution (division) problem. The same number of each animal is distributed over some unknown number of troughs, but the total number of troughs adds up to 69. ( I hate to give this all away, as its a brilliant problem! )

Number of troughs for each animal type is How many needed by the number of animals per trough:

h/2 + c/3 + p/8 = 69

Since we are given "the same number of horses, cows and pigs" we can substitute "x" for all.

$\frac{x}{2} + \frac{x}{3} +\frac{x}{8} = 69$ Get a common denominator. 24 would work, 48 also.

$48(\frac{x}{2} +\frac{x}{3} +\frac{x}{8} ) = 48(69)$

24x + 16x + 6x = 3372

46x = 3372 x = 72

Proof: calculate the number of each kind of trough

Horses 72/2 = 36, Cows 72/3 = 24 Pigs 72/8 = 9 36+24+9 = 69

part b. 5c + 3k = 92, c + k = 20 Rearrange to get a value for c to substitute.

c = 20-k 5(20-k) +3k =92 Distribute and solve

100 - 5k + 3k = 92 becomes -2k = -8 so k = 4 Substitute into the original

c + 4 = 20 becomes c=20-4, so c = 16

Proof: 5c +3k = 92 Substitute values 5(16) + 3(4) = 92 80 + 12 = 92

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3 years ago