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3 years ago

0=-2y+10-6x and 14-22y=18x

Mathematics

1 answer:

iris [78.8K]3 years ago

6 0

Answer:

1. y = 5 - 3x

2. y = 9/-11x + 7/11

Step-by-step explanation:

0 = -2y + 10 - 6x add 2y to both sides

2y = 10 - 6x divide everything by 2

y = 5 - 3x

14 - 22y = 18x subtract 14 from both sides

-22y = 18x - 14 divide everything by -22

y = 18/-22x + 14/22 simplify

y = 9/-11x + 7/11

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Alexis has $3.25 in nickels and dimes. The number of dimes is 5 less than twice the number of nickels. Find the number of nickel

jek_recluse [69]

Answer:

15 nickels were there with Alexis

Step-by-step explanation:

Let there be x nickels

given that

The number of dimes is 5 less than twice the number of nickels.

no of dimes in terms of x = 2*number of nickels - 5 = 2x - 5

we know that

value of 1 nickel = 5 cents

then

value of x nickel = 5*x cents = 5x cents

we know that

value of 1 dime = 10 cents

then

value of 2x-5 dime = 10(2x - 5) cents = 20x - 50 cents

Total value of x nickel and 2x -5 dimes = 5x + 20x - 50 = 25x - 50

given that

Alexia has total of $3.25 in nickel and dimes thus 25x - 50 must be equal to $3.25

$1 = 100 cents

$3.25 = 3.25 * 100 cents = 325 cents

Thus,

25x - 50 = 325

25x = 325 + 50 = 375

x = 375/25 = 15

Thus, no of nickels = x = 15 answer

5 0

3 years ago

What is the value of 35−3m, when m = 4?

amm1812

Answer:

Step-by-step explanation:

Step 1:

35 - 3m Equation

Step 2:

m = 4 Input m into equation

Step 3:

35 - 3 ( 4 ) Add m to the equation

Step 4:

35 - 12 Multiply

Answer:

Hope This Helps :)

6 0

3 years ago

Question 2 A B C D E F G H

sleet_krkn [62]

Step-by-step explanation:

a. 2(y-8)

= 2y-16

b. 3(x-5)

= 3x-15

c.6(b-4)

= 6b-32

d.7(d-2)

= 7d-14

e.5(2-y)

= 10-5y

f.3(4-t)

= 12-3t

g.5(b-a)

=5b-5a

h.7(2-h)

= 14-7h

4 0

3 years ago

Solve for x and then determine the measure of the exterior angle.

neonofarm [45]

Answer:

x=25, 120

Step-by-step explanation:

The two angles form a straight line so they add to 180

60 + 4x +20 =180

Combine like terms

4x+80 = 180

Subtract 80 from each side

4x+80-80 =180-80

4x= 100

Divide by 4

4x/4 =100/4

x= 25

The exterior angle is

4x+20 = 4*25+20 =100+20 =120

6 0

3 years ago

Read 2 more answers

When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your f

Vikentia [17]

Answer:

0.2275 = 22.75% probability that you actually won that round

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Fireworks going off

Event B: You won

Probability of fireworks going off.

100% of 1/35 = 0.0286(when you win)

10% of 34/35 = 0.9714(you lost). So

$P(A) = 0.0286 + 0.1*0.9714 = 0.12574$

Probability of you winning and fireworks going off:

100% of 1/35, so $P(A \cap B) = 0.0286$

If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275$

0.2275 = 22.75% probability that you actually won that round

8 0

3 years ago