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4 years ago

Please I need help I been stuck on this problem for 40 minutes

Mathematics

2 answers:

lara [203]4 years ago

8 0

Answer:

29 miles each day

Step-by-step explanation:

This is pretty simple actually, so first you:

take away 108 from 224 because they already did 108

224-108=116

then you just divide 4 from 116 because they went 116 miles in 4 days.

so 116/4=29 then you get your answer 29 miles each day.

nignag [31]4 years ago

5 0

First
224-108=116miles left
And 4 days left
116/4
=29 miles each day

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Find the center, vertices, and foci of the ellipse with equation 3x2 + 8y2 = 24

Sveta_85 [38]

Answer:

The center is at (0,0)

The vertices are at ( ( ±2 sqrt(2),0)

foci are ( ±sqrt(5),0)

Step-by-step explanation:

3x^2 + 8y^2 = 24

Divide each side by 24

3x^2 /24 + 8y^2/24 = 24/24

x^2/8 + y^2 /3 = 1

The general equation of an ellipse is

(x-h)^2/ a^2 + (y-k)^2 / b^2 = 1

a>b (h,k) is the center

the coordinates of the vertices are ( ±a,0)

the coordinates of the foci are ( ±c,0), where ^c2=a^2−b^ 2

The center is at (0,0)

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The vertices are at ( ( ±2 sqrt(2),0)

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4 years ago

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A kennel has 115 dogs in total some are puppies and some are adult dogs.The ratio of puppies I to adult dogs in a kennel is 2:3

olga55 [171]

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4 years ago

A linear function has the same y-intercept as x + 4y = 12 and its graph contains the point (9,5). Find the slope of the linear f

ziro4ka [17]

The answer is A: a slope of 2/9

First you need to change find the y-intercept by converting the standard form equation to slope-intercept form. The goal is to isolate y:

x + 4y = 12

x + 4y - x = 12 - x

4y = 12 - x

4y / 4 = 12/4 - x

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Change so that the slope is before the intercept:

y = -x + 3

Now we know that the y-intercept is 3.

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3 years ago

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sasho [114]

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4 years ago

The first term of an Ap is - 504 while<br>the sum of its 9 terms is-126 find<br>Sum of its 30 terms

frozen [14]

Answer:

The sum of its 30 terms is 38167.5

Step-by-step explanation:

Given:

The First term in the AP is -504

The Sum of its 9 terms is -126

To Find:

The sum of its 30 terms = ?

Solution:

The sum of n terms of an AP:

$S_n = (\frac{n}{2} ) [ 2 a_1 + ( n - 1 ) d ]$

The sum of 9 terms of an AP:

$S_9 = (\frac{9 }{2} ) [ 2(-504) + ( 9 - 1 )d ]$

$S_9 = (4.5 )[ 2 (-504)+ ( 8 ) d ]$

$(4.5 )(2)(-504) + (4.5) 8 d = - 126$

(-4536) +36d = -126

36 d = -126+4536

36 d= 4410

$d= \frac{4410}{36}$

d = 122.5

The sum of its 30 terms is

$S_{30} = ( \frac{30 }{2 }) [ 2 (-504) + ( 30-1)(122.5) ]$

$S_{30} =(15) [ 2 (-504) + ( 29)(122.5) ]$

$S_{30} = [ 2 (-504)(15) + ( 29)(122.5)(15) ]$

$S_{30} = [ -15120 + 53287.5 ]$

$s_{30} = 38.167.5$

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4 years ago