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2 years ago

One eighth of a number is less than or equal to 3 what is the inequality

1 answer:

8 0

We will assume that the number is n
one eighth of the number = 1/8 x n = n/8
we know that this result n/8) is less than or equal (<=) 3
therefore, the inequality is:
n/8 <= 3

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Which lines are parallel to 8x + 2y = 7?

Ede4ka [16]

Answer:

8x + 2y = 7

2y = -8x + 7

y = -4x + 7/2; this line has slope equal -4

Parallel lines, slope is the same so slope of parallel line is also -4

A. y − 1 = 4(x + 8); slope m = 4....FALSE

B. y = −4x + 15; slope m = - 4....TRUE

C. 16x + 4y = 9; 4y = -16x + 9 so y = -4x + 9/4; slope m = - 4....TRUE

D. y = −4x; slope m = - 4....TRUE

Step-by-step explanation:

7 0

3 years ago

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Problem

Stels [109]

Answer:

The maximum speed of Hal's airplane in still air is:

$v= 250\ miles/h$

The speed of the wind

$c = 50\ miles/h$

Step-by-step explanation:

Remember that the velocity v equals the distance d between time t.

$v=\frac{d}{t}$ and $t*v=d$

The distance that Hal travels when traveling with the wind is:

$(2\ hours)(v + c) = 600$ miles

Where v is the speed of Hal and c is the wind speed.

The distance when traveling against the wind is:

$(3\ hours)(v-c) = 600$ miles

Now we solve the first equation for v

$(2)(v + c) = 600$

$2v + 2c = 600$

$2v= 600-2c$

$v= 300-c$

Now we substitute the value of v in the second equation and solve for c

$3((300-c)-c) = 600$

$3(300-2c) = 600$

$900-6c = 600$

$-6c = 600-900$

$-6c = -300$

$6c = 300$

$c = 50\ miles/h$

Then:

$v= 300-(50)$

$v= 250\ miles/h$

The maximum speed of Hal's airplane in still air is:

$v= 250\ miles/h$

The speed of the wind

$c = 50\ miles/h$

7 0

3 years ago

In a survey of 1,000 television viewers, 40% said they watch network news programs. For a 90% confidence level, the margin of er

ElenaW [278]

Answer: The margin of error = $3\%$

Step-by-step explanation:

Given

Sample size (n) = 1000

Population proportion = 0.4

$\alpha$ = 1 - confidence level

= 1 - 0.95

= 0.05

$margin\; of\; error = z_{\frac{\alpha }{2}}\sqrt{\frac{{\widehat{p}}{(1 -\widehat{p})}}{n}}$

$margin\; of\; error = z_{\frac{0.05 }{2}\sqrt{\frac{{(0.4)}{(1 -0.4)}}{1000}}$

$= z_{0.025}\sqrt{\frac{{(0.4)}{(0.6)}}{1000}}$

$= 1.96\sqrt{\frac{{(0.4)}{(0.6)}}{1000}}$

= 0.03

The margin of error change to $2.5\%$ to $3\%$

6 0

3 years ago

At a store, Lauren selected a watermelon that weighed 38.4 ounces.

Mrrafil [7]

Answer:

$3.60

Step-by-step explanation:

1.50 ÷ 16 = 0.09375

there are 38.4 oz in laurens watermelon, so multiply the cost per ounce by the number of ounces to find the answer

0.09375 × 30.4 = 3.6

5 0

2 years ago

Help needed rn i have a few minutes left

aleksandr82 [10.1K]

Answer:A

Step-by-step explanation:

5 0

2 years ago

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