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vovangra [49]
3 years ago
10

Word problem: Ms.Perez often gives a short one problem quiz during her 48 minute class. If a student is out of the room at the t

ime of the quiz, they will miss that grade. Natalia was 15 minutes late for class, what is the probability that she missed the start of the quiz?
Mathematics
1 answer:
shepuryov [24]3 years ago
8 0
1/15 because it’s 1 in every 15 minutes.
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A large mixing tank currently contains 350 gallons of water, into which 10 pounds of sugar have been mixed. A tap will open, pou
Marysya12 [62]

Answer

Let t be number of minutes since tap is opened

water is increased by 20 gallons of water per minute.

sugar increase rate of 3 pounds per minute

water :- W(t) = 350 + 10 t

sugar :- S(t) = 10 + 3 t

concentration

C(t) = \dfrac{S(t)}{W(t)}

at t = 15 minutes

C(15) = \dfrac{S(15)}{W(15)}

C(15) = \dfrac{10 + 3\times 15 }{350 + 10\times 15}

C(15) = 0.11

at beginning t = 0 minutes

C(0) = \dfrac{S(0)}{W(0)}

C(0) = \dfrac{10 + 3\times 0}{350 + 10\times 0}

C(0) = 0.0286

C(15) > C(0)

hence, concentration is increasing as time is passing.

3 0
3 years ago
What is an equation of the line that passes through (-2,3) and is parallel to y=5x + 4.Give your answer in slope intercept form
9966 [12]

Answer:

y= 5x+13

Step-by-step explanation:

<u>Slope- intercept form</u>

y= mx +b, where m is the gradient and b is the y-intercept.

Parallel lines have the same gradient.

y= 5x +4

Gradient of given line= 5

Thus, gradient of line= 5

Subst. m=5 into the equation.

y= 5x +b

To find the value of b, substitute a coordinate

When x= -2, y=3,

3= 5(-2) +b

3= -10 +b

b= 3 +10 <em>(</em><em>+</em><em>1</em><em>0</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

b= 13

Thus, the equation of the line is y= 5x +13.

8 0
3 years ago
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(2\sqrt7+3\sqrt6)(5\sqrt2+4\sqrt3)\qquad\text{use distributive property}\\\\=(2\sqrt7)(5\sqrt2)+(2\sqrt7)(4\sqrt3)+(3\sqrt6)(5\sqrt2)+(3\sqrt6)(4\sqrt3)\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt{12}+12\sqrt{18}\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt{4\cdot3}+12\sqrt{9\cdot2}\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt4\cdot\sqrt3+12\sqrt9\cdot\sqrt2\\\\=10\sqrt{14}+8\sqrt{21}+(15)(2)\sqrt3+(12)(3)\sqrt2\\\\=\boxed{10\sqrt{14}+8\sqrt{21}+30\sqrt3+36\sqrt2}

5 0
3 years ago
Read 2 more answers
If Half the number is 40 less than 56. Find the number
pogonyaev

Answer:

32

Step-by-step explanation:  

half the number is 56 - 40 which is 16 and it says half the nuber is 16 so 16 x 2 is 32

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3 years ago
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Abby scored 30 fewer points in the game than Charles scored. Abby scored 170 points in the game. Which equation can be used to c
zavuch27 [327]
C. 170=p-30,
can you mark me brainless

4 0
3 years ago
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