Ashley ate exactly one-third of the peanuts in a dish. Then, Emily ate exactly one-fourth of the remaining peanuts in the dish. Lastly, Isabella ate exactly one-fifth of the remaining peanuts in the dish. What is the least number of peanuts that could be in the dish when Isabella finishes? [Whole peanuts may not be split into smaller parts.]

Answer:

iit's the 3q+ 7q =10q one

Answer:

O 3q + 7q and 10q

3q + 7q and 10q?

Answer:

a. 304 feet

b. 425 feet

c. 3.75 seconds

d. It will take the rocket approximately 8.9 seconds to hit the ground

Step-by-step explanation:

1. The given data of the question including the question relationships are listed as follows;

The height of the cliff from which the rocket was launched = 200-ft.

The initial velocity of the rocket, u = 120 feet per second

The equation that models the height of the rocket with respect to time 't' is h(t) = -16·t² + 120·t + 200

a. The height of the rocket after 1 second is given by plugging in t = 1 in the equation that models the height as follows;

h(1) = -16 × (1)² + 120 × (1) + 200 = 304

The height of the rocket after 1 second, h(1) = 304 feet

b. The maximum height can be found by finding the value of the maximum point of the curve of the equation for the height as follows;

At the maximum point, h'(t) = d(-16·t² + 120·t + 200)/dt = 0

∴ d(-16·t² + 120·t + 200)/dt = -32·t + 120 = 0

t = 120/32 = 3.75

At the maximum point, t = 3.75 seconds

The maximum height can also be found by finding the vertex of the parabola formed by the height equation as follows;

At the vertex (the maximum point), t = -b/(2·a) = -120/(2 × (-16)) = 3.75

At the vertex (the maximum point), t = 3.75

The height at the maximum point = h(3.75) = -16 × (3.75)² + 120 × (3.75) + 200 = 425

The height at the maximum point, h(3.75) = 425 feet

c. The time it will take the rocket to reach the maximum point is given by the value of 't' at the maximum point, the vertex, which is t = -b/(2·a) = -120/(2 × (-16)) = 3.75

Therefore;

The time it takes the rocket to reach the maximum point, [tex]t_{max}[/tex] = 3.75 seconds

d. The time it takes the rocket to hit the ground (height h(t)) is given by finding the values of 't' that satisfy the height equation where h(t) = 0 as follows;

At the ground level, h(t) = 0 = -16·t² + 120·t + 200

Therefore, we get;

-16·t² + 120·t + 200 =

t = (-120 ± √(120² - 4×(-16) × 200))/(2 × (-16))

t ≈ 8.9 or t ≈ -1.4

Therefore, the time it takes the rocket to hit the ground is given by the natural number, t ≈ 8.9 seconds.

Answer:

Step-by-step explanation:

If the point HIJK all lies on the same line, then HI + IJ + JK = HK

2 + 2 + 3  = HK

HK = 7

Since the total length is HK

IJ = ratio of IJ/Total ratio * HK

IJ = 2/7 * 49

IJ = 2 * 7

IJ = 14

Hence the length of IJ is 14

Answer:

58 sides

Step-by-step explanation:

hexagon=6 sides

heptagon=7 sides

hexagon: 6 times 5=30 sides

heptagon: 7 times 4=28 sides

30 sides plus 28 sides equals 58 sides

Answer:

5% increase

Step-by-step explanation:

-8% + 13% = 5%

Answer:

the answer is 5 increase

Step-by-step explanation:

Answer:

ud wana take away the cost of one pound of potatoesso 11.75 take away 2.48 so 9.27 divided by three 3.09 per pound for tomatoes

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

(2p^3 · 2p)^2  We are gonna be simplifying

(4p^4)^2

Step 2

(4p^4)(4p^4)

16p^8

So therefore your answer would be 16p^8

Hope this helps

Answer:

3 3/4 yards

Step-by-step explanation:

6*5/8=3 3/4

Answer:

∠x = 39.6°

Step-by-step explanation:

tan x = 19/23 = 0.8261

x = 39.6°

Answer:

DG=9

Step-by-step explanation:

2x-4=x+7

x-4=7

x=11

x-2=11-2=9

Answer:

A

Step-by-step explanation:

Answer:

53°

Step-by-step explanation:

Let m∠BCA = 'x'

Because it states that quadrilateral ABCD is a rectangle (sorry, forgot to say that in my image), that means that angles ∠ABC, ∠BCD, ∠CDA and ∠DAB are all right angles. That also means that all those angles are 90°.

Since ∠ACD is a portion of ∠BCD, (37° is a portion of 90°), and we're looking for the complement of ∠ACD, all we have to do is subtract 37° from 90°.

90 - 37 = 53

Hence, the answer is 53°

Answer:

c

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Hope it helps:)))

Can i have brainy plzzz

(|currentavg-initialaverage|/initialavg)*100 gives percent difference so:

(|72-80|)/(80)*100

gives a 10 percent difference (decrease)

Answer:

Austing needs 160 boxes to complete the rack.

Step-by-step explanation:

Givens

12 cereral boxes occupies 60 centimeters of shelving.

The rack has 10 meters of shelving, equivalent to 1000 centimeters.

2 meters are already used.

There are 800 centimeters of shelving remaining.

To find the total number of cereal boxes needed to use the whole rack, we just need to use the rule of three: If 12 cereal boxes occupies 60 centimeters of shelving, 800 centimeters would require how many cereal boxes

Therefore, Austing needs 160 boxes to complete the rack.

Answer: C. Y=(1000-200)/5

D. 160 boxes of cereal

Step-by-step explanation: To create the equation I changed the measurements all to centimeters by scaling up the meters by 100 since there are 100 centimeters in a meter.

Answer:

It is a function.

Step-by-step explanation:

In a function, each input exists one unique output. In this case, this is a function because each input isn't assigned to multiple outputs, therefore y is a function of x.

Answer:

$2.96

Step-by-step explanation:

1.15x = 3.40   x = last year's price.  If there price was exactly the same, I would put 1x, but this year's price is 15% or .15 higher.

1.15x = 3.40  Divide both sides by 1.15 and round to the nearest cent.

x = 2.96

Check:

Last year + 15% (.15)

2.96 + .15(2.96)

2.96 + .44 rounded to the nearest cent

3.40

Answer:

1514 feet

Step-by-step explanation:

We solve using the trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

θ = Angle of depression = 53°

Opposite = Vertical height = 1209 feet

Hypotenuse = x =??

Hence,

sin 53 = 1209 feet/x

Cross Multiply

sin 53 × x = 1209 feet

x = 1209 feet/ sin 53

x = 1513.8320107 feet

Approximately = 1514 feet

Therefore, the distance Lisa must ski to reach the lodge is 1514 feet

Answer:

shape 1- 89.4 inches

shape 2- 29cm

Step-by-step explanation:

the perimeter is the sum of all numbers around the rim of the shape.

Answer:true

Step-by-step explanation:

It would be -6 which is less that -9

Answer:

C

Step-by-step explanation:

porque sarabtiene más puntos que Bernie

Answer:

a = 5(10²)/2

a = 5(100)/2

a = 250

Answer:

it isn't correct

[tex]x {}^{2} - 6x - 7 = 0 \\ d = 36 + 28 = 64 \\ x1 = \frac{6 - 8}{2} = - 1 \\ x2 = \frac{6 + 8}{2} = 7[/tex]

Answer:

her solution isn't correct .

because she had done a slight mistake in her calculation.

i.e.

[tex]\sqrt{16}=4 \:\:not \:\:16[/tex]

Step-by-step explanation:

solution given:

x²-6x-7=0

making it a perfect square

we must make it on the form of (a+b)²or(a-b)²

so

x²-2*3*x+3²-3²-7=0

(x-3)²-9-7=0

(x-3)²-16=0

adding 16 on both aide

(x-3)²=16

doing square root on both side

[tex]\sqrt{(x-3)²}=\sqrt{16}[/tex]

x-3=±4

taking positive

x-3=4

adding 3 on both side

x=7

and.

taking negative

x-3=-4

adding 3 on both side

x=-4+3

x=-1

x=-1 or 7

Answer:

100 units^2

Step-by-step explanation:

a^2+b^2=c^2

8^2+6^2=c^2

64+36=c^2

100=c^2 (area of square)

10=c (length of hypotenuse)

Therefore, the area of the square is 100 units^2

Answer: The length of one wall is 16ft

Step-by-step explanation: √256=16ft

Answer:

64ft

Step-by-step explanation:

256 divided by 4 since it is a square they are all even corners.