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3 years ago

12

Solve the equation (128)^x=(1/2)^2x-3

1 answer:

dalvyx [7]3 years ago

3 0

Answer:

0.79

Step-by-step explanation:

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Jared has some quarters and dimes that total $5.50. If he has 8 more quarters that dimes, how much dimes does Jared have?

MAXImum [283]

Answer: 10 dimes

Solve using system of equations.
q=number of quarters and d=number of dimes
.25q+.10d=5.50 because the total of dimes and quarters is $5.50
8+d=q because there are 8 more quarters than dimes
substitute 8+d for q into the first equation to get .25(8+d)+.10d=5.50
then simplify
2+.35d=5.50
.35d=3.50
d=10 he has 10 dimes

8 0

3 years ago

Consider rolling two fair dice and observing the number of spots on the resulting upward face of each one. Letting A be the even

Allushta [10]

Answer:

$P(E|A)= \frac{10}{11}$

Step-by-step explanation:

Given

Two rolls of die

$E \to$ one of the outcomes is 6

$A \to$ atleast one is 6

Required

P(E|A)

First, list out the outcome of each

$E = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}$

$A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}$

So:

$P(E|A)= \frac{n(E\ n\ A)}{n(A)}$

Where:

$E\ n\ A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}$

$n(E\ n\ A) = 10$

$n(A) = 11$

So:

$P(E|A)= \frac{10}{11}$

7 0

2 years ago

P and q are two arithmetic sequences. The first four terms of sequence P are 2,6,10,14. The nth term of sequence Q is 145-3n. Th

Tomtit [17]

Answer:

r = 21

Step-by-step explanation:

nth of sequence P :

$T_{n} = 4n -2$

$r^{th} term$ : $4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21$

5 0

1 year ago

Triangle ABC was transformed to create triangle A'B'C'.

makkiz [27]

Answer:

The answer is F(x, y-7).

4 0

2 years ago

Read 2 more answers

Muhammad owns 8 fewer swim suits than Charlie. Let k represent the number of Charlie's swim suits. Identify the expression that

andre [41]

Answer:

Number of Muhammad's swim suits = k - 8

Step-by-step explanation:

Given:

Number of Charlie's swim suits = K

Number of Muhammad's swim suits = 8 less than Charlie

Find:

Expression [Number of Muhammad's swim suits]

Computation:

Number of Muhammad's swim suits = 8 less than Charlie

Number of Muhammad's swim suits = k - 8

6 0

2 years ago