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masha68 [24]
3 years ago
10

Eleana and her grandfather both had birthdays last week.

Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0

Answer:

Eleana is 20 years old.

Her grandfather is 80 years old.

Step-by-step explanation:

Suppose Eleana's age is "x". That means her grandfathers age is 4x.

x+4x= 100

5x=100  Divide both sides by 5

x=20   That means Eleana is 20 years old.

           Her grandfather would be 4 times her age so his age would be 40  years old.

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Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a mean of 450 seconds a
Gnoma [55]

Answer:

(D)109

Step-by-step explanation:

Mean = 450 seconds

Standard deviation = 50

First, we determine the probability that the expected response time is between 400 seconds and 500 seconds, P(400<x<500)

Using the Z-Score,

P(\frac{x-\mu}{\sigma}

From the Z-Score table

P(-1<x<1) = 0.68269  

The probability that the expected response time is between 400 seconds and 500 seconds is 0.68269.

Since there are 160 Emergencies

Number whose expected time is between 400 seconds and 500 seconds

=160 X 0.68269 \approx 109

6 0
3 years ago
Fill in the blank with the correct number.
liberstina [14]

Answer:

D

and it is correct because it is

8 0
3 years ago
Find all points on the circle (x^2) + (y^2) = 676 where the slope is 5/12
borishaifa [10]
Implicit defferentation

remember that dy/dx y= dy/dx


so
take derivitive of both sides
2x+2y \space\ \frac{dy}{dx}=0
solve for \frac{dy}{dx}
minus 2x both sides
2y \space\ \frac{dy}{dx}=-2x
divide both sides by 2y
\frac{dy}{dx}=\frac{-2x}{2y}
\frac{dy}{dx}=\frac{-x}{y}

when is the slope equal to \frac{5}{12}
solve for \frac{dy}{dx}=\frac{5}{12}
\frac{dy}{dx}=\frac{5}{12}
\frac{5}{12}=\frac{-x}{y}
5y=-12x
y=\frac{-12}{5}x
find where the circle and this line intersects

substitute \frac{-12}{5}x for y
x^2+(\frac{-12}{5}x)^2=676
x^2+\frac{144}{25}x^2=676
\frac{25}{25}x^2+\frac{144}{25}x^2=676
\frac{169}{25}x^2=676
times both sides by \frac{25}{169}
x^2=100
sqrt both sides, take positive and negative roots
x=+/-10

sub back

y=\frac{-12}{5}x
y=(\frac{-12}{5})(10) \space\ or \space\ (\frac{-12}{5})(-10)
y=\frac{-120}{5} \space\ or \space\ \frac{120}{5}
y=-24 \space\ or \space\ 24

the points are (10,-24) and (-10,24)
8 0
3 years ago
Cynthia Bech want to buy a rug for a room that i 20 ft wide and ft long. She want to leave a uniform trip of 29 floor around the
Hoochie [10]

On solving the question, we got that - The dimensions of the rug should be 18 feet and 24 feet

<h3>What is area of rectangle?</h3>

By multiplying the rectangle's length by its breadth, we may get its area.

Equiangular quadrilaterals, like rectangles, are known in this way. This is so because a rectangle is a four-sided quadrilateral shape with parallel sides that are equal to one another and four corners with 90o angles. Rectangles are sometimes known as equiangular quadrilaterals since all of its angles are 90 degrees.

the parameters provided;

The room is 20 feet by 26 feet in size.

432 feet2 is the largest area rug she can afford.

If the floor will be a uniform stripe around the rug, then each dimension should have its uniform extra length of floor =  (y).

Area = Length X Width\\432 = ((20=y) X (26-y)\\432 = 520 - 20y - 26y + y^2\\y^2 - 46y+88=0\\

here, a= 1, b= -46, c =88

y = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\

y = \frac{-(-46) +/- \sqrt{(-46)^2 - 4X1X88} } {2} \\\\y = 44 \\or\\ y =  2

Therefore, Length = 20-2 = 18 ft

and width = 26-2 = 24ft

To know more about rectangle visit:

brainly.com/question/15019502

#SPJ4

8 0
1 year ago
PLEASE!! (GIVING BRAINLIEST)
snow_lady [41]

Answer:

A

Step-by-step explanation:

because the difference between each new number y(-2, -4, -6, -8) x(3, 6, 9, 12) is the same. For the y column it decreases by 2 each time and for the x column it increases by 3 each time. Therefore, yes, -2/3 is the correct answer

5 0
2 years ago
Read 2 more answers
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