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lisabon 2012 [21]

1 year ago

13

Find the value of y.

1 answer:

Natali [406]1 year ago

7 0

Answer:

y=7

Step-by-step explanation:

The two given angels are congruent so they must be equal in measure.

Set them up equal and find y.

8y = 5y + 21, subtract 5y from both sides

8y -5y = 21, combine like terms

3y = 21, divide both sides by 3

y = 7

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Mercedes is going to have her car fixed. Cairo Prince Auto Tech charges $45 for an estimate plus $24 per additional hour of work

strojnjashka [21]

Cairo's cost is modeled by 45 + 24h
Tarantino's is modeled by 30h

For h = 6:
Cairo = 45 + 24*6 = 189
Tarantino = 180

For h = 7
Cairo = 45 + 24*7 = 213
Tarantino = 210

For h = 10
Cairo = 45 + 24*10 = 285
Tarantino = 300

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8 0

2 years ago

What values must x have so that log (x) is greater than 2? justify your answer

kotegsom [21]

Answer:

The value of x must be greater than 100.

Step-by-step explanation:

We need to find the value x for which the value of log(x) is greater than than 2.

$log(x)>2$

According to the property of logarithm, if a is a real number.

$log(x)=a \Rightarrow x=10^a$

Using the above property of logarithm, the given inequality can be rewritten as

$x>10^2$

$x>100$

We conclude that the value of log(x) is greater than 2 for real values of x which are greater than 100.

Therefore, the value of x must be greater than 100.

3 0

2 years ago

Kelly has 1/2 of a gallon of milk left in her refrigerator. She drank 3/4 of it. What fraction of gallon of milk is left in the

Colt1911 [192]

1/4
3/4-1/2=1/4
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4 0

2 years ago

Read 2 more answers

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.

ratelena [41]

Answer:

The average of each day is 6 fishes

Step-by-step explanation:

Given

See attachment for dot plot

Required

Determine the true statement

For day 1, we have:

$Fis hes = 3 + 6 + 6 + 6 + 6 + 3$

$Fis hes = 30$

$Participants = 6$

The mean is:

$Mean = \frac{Fish es}{Participants}$

$Mean = \frac{30}{6}$

$Mean = 5$

For day 2, we have:

$Fis hes = 3 + 3 + 4 + 6 + 7 + 7$

$Fis hes = 30$

$Participants = 6$

The mean is:

$Mean = \frac{Fish es}{Participants}$

$Mean = \frac{30}{6}$

$Mean = 5$

8 0

2 years ago

Please help me understand this

Anastaziya [24]

Answer:

$x=11$

Step-by-step explanation:

So we have the equation:

$\frac{-2-2x}{3} =-8$

First, multiply both sides by 3. This cancels out the denominator:

$3(\frac{-2-2x}{3} )=3(-8)$

The left side cancels. Multiply the right:

$(-2-2x)=-24$

Add 2 to both sides. The 2s on the left cancel:

$(-2-2x)+2=(-24)+2\\-2x=-22$

Divide both sides by -2. The -2 on the left cancel.

$(-2x)/-2=(-22)/-2\\x=11$

Therefore, the answer is 11.

8 0

2 years ago

Read 2 more answers