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Vikki [24]
4 years ago
13

On Monday, Mr. Roberts drove 42 miles. On Tuesday, he drove 5 miles more than half the distance he drove on Monday. Which expres

sion shows how you could find the distance, in miles, Mr. Roberts drove on Tuesday?( 42 ? 5 ) × 2 42 ? ( 5 × 2 ) ( 42 ÷ 2 ) ? 5 ( 42 ÷ 2 ) + 5
Mathematics
1 answer:
butalik [34]4 years ago
3 0

Answer: Last option

(42÷2) +5

Step-by-step explanation:

We know that Mr. Roberts drove 42 miles on Monday.

On Tuesday Mr. Roberts drove half of what he drove on Monday plus 5 miles.

If we want to know how many miles Mr. Roberts drove on Tuesday then we should divide 42÷2 to find half of 42.

\frac{42}{2} = 21

Then we know that in addition to the 21 miles he drove 5 more miles. Then we add 21 +5 = 26 miles.

So the expression that gives us the number of miles that Mr. Roberts drove on Tuesday is:

(42÷2) +5

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Determine the measure of ∠Y. images attached
Gwar [14]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y

To find the value of ∠Y we use tan

We have

\tan(∠Y)  =  \frac{25}{20}  \\  \tan(∠Y)  =  \frac{5}{4}  \\ ∠Y =  { \tan^{ - 1} } \frac{5}{4}  \\ ∠Y = 51.34019...

We have the final answer as

<h3>51.34°</h3>

Hope this helps you

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RideAnS [48]
The answer would be C because it’s the only fraction that does not equal 0.4
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Hi

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The graph of y = f(x) is shown.<br> a) Find f(0)<br> 4-<br> 3.<br> b) Give the roots of f(x) = 0
Fiesta28 [93]

Answer:

f(0) = 2

Roots are;

-2 and -1

Step-by-step explanation:

F(0) simply refers to the y-values when x = 0

This is the point at which the graph crosses the y-axis

the value here is 2

To

find the roots of f(x) , we simply find the points at which the plot crosses the x-axis

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5 0
3 years ago
The harbormaster wants to place buoys where the river bottom is 20 feet below the surface of the water. Complete the absolute va
Natalija [7]

Answer:

The answer is below

Step-by-step explanation:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

Answer:

To solve the problem, the depth of the water would be equated to the position of the river bottom.

d(h)=river \ bottom\\\\The \ river \ bottom=-20\ feet(below)\\\\d(h) = -20\\\\\frac{1}{5}|h-240|-48=-20\\ \\\frac{1}{5}|h-240|=-20+48\\\\\frac{1}{5}|h-240|=28\\\\|h-240|=28*5\\\\|h-240|=140\\\\h-240=140\ or\ h-240=-140\\\\h=140+240\ or\ h=-140+240\\\\h=380\ or\ h=100\\\\The\ buoys\ should\ be\ placed\ at\ 100\ feet\ and\ 380\ feet\ from\ left-hand\ shore

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3 years ago
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