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Pavel [41]
3 years ago
7

the depth D, in inches, od wsnow in my yard t hours after it started snowing this morning is given by D=1.5t + 4. if the depth o

f the snow is 7 inches now, what will be the depth one hour from now?
Mathematics
1 answer:
Blababa [14]3 years ago
7 0

Answer:

8.5 inches

Step-by-step explanation:

First let's find the time t when the depth of the snow is 7 inches.

To do this, we just need to use the value of D = 7 then find the value of t:

7 = 1.5t + 4

1.5t = 3

t = 2\ hours

We want to find the depth of snow one hour from now, so we just need to use the value of t = 3 to calculate D:

D = 1.5*3 + 4

D = 4.5 + 4 = 8.5\ inches

The depth of snow one hour from now will be 8.5 inches.

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In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion

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3 years ago
Y varies directly as x. Y=42 when x=6. Find the value of y when x =15.
pentagon [3]

Answer:

y=120

Step-by-step explanation:

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y \alpha x

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y=kx

<em>from</em><em> </em><em>the</em><em> </em><em>ques</em><em>tion</em><em>,</em><em> </em><em>whe</em><em>n</em><em> </em><em>y</em><em>=</em><em>4</em><em>8</em><em>,</em><em> </em><em> </em><em>x</em><em>=</em><em>6</em>

<em>sub</em><em>stitute</em><em> </em><em>it</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>form</em><em>ula</em>

<em>4</em><em>8</em><em>=</em><em>6</em><em>k</em>

<em>making</em><em> </em><em>k</em><em> </em><em>the</em><em> subject</em><em> </em><em>by </em><em>divi</em><em>ding</em><em> </em><em>thr</em><em>ough</em><em> </em><em>by</em><em> </em><em>6</em>

<em>\frac{48}{6}  =  \frac{6k}{6}</em>

k=48/6

k=8

<em>put</em><em> </em><em>the</em><em> </em><em>va</em><em>lue</em><em> </em><em>of</em><em> </em><em>k</em><em> </em><em>in</em><em> </em><em>the </em><em>expression</em><em> </em><em>y</em><em>=</em><em>kx</em>

<em>y</em><em>=</em><em>8</em><em>x</em>

from the question,the value of y when x=15 is given by

y=8×15

y=120.

4 0
3 years ago
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