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3 years ago

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Daniel has read 60% of a book. He has 28 more pages to finish. How many pages are there in the book? There are nothing pages i

n the book.

1 answer:

elena-14-01-66 [18.8K]3 years ago

5 0

-by-step explanation:

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Three orders are placed at a pizza shop. two small pizzas, a liter of soda, and a salad cost $14; one small pizza, a liter of so

mojhsa [17]

To determine the cost of each item, we need to set up equations. From the problem statement, we have three unknowns so we need three equations. We set up equations as follows:

let x cost of small pizzas
y cost of soda
z cost of salad

two small pizzas, a liter of soda, and a salad cost $14
2x + y + z = 14

one small pizza, a liter of soda, and three salads cost $15

x + y + 3z = 15

three small pizzas, a liter of soda, and two salads cost $22
3x + y + 2z = 22

Solving for x, y and z, we will have:

x = $ 5
y = $ 1
z = $ 3

6 0

3 years ago

PLS HELP ! Will give brainliest

Darina [25.2K]

Answer:

Step-by-step explanation:

The quadratic formula would be the following...

$x = \frac{-b (+-)\sqrt{b^{2} - 4ac } }{2a}$

where the original quadratic equation would be represented as follows

$ax^{2} + bx +c = 0$

Using this information and the information provided in the image we can plug in the quadratic equation values in the image to form the quadratic formula.

$\frac{-(-20)±\sqrt{(-20)^{2} - 4(16)(-6) } }{2(16)}$

That would be the correct order for the values.

3 0

3 years ago

9.7q = 9.1q - 7.92<br> q =

AleksAgata [21]

Answer:

q = -13.2

Step-by-step explanation:

9.7q = 9.1q - 7.92

Subtract 9.1q from both sides.

0.6q = -7.92

Divide both sides by 0.6

q = -13.2

Double check your work.

9.7(-13.2) = 9.1(-13.2) - 7.92

-128.04 = -120.12 - 7.92

-128.04 = -128.04

5 0

3 years ago

The Pacific halibut fishery has been modeled by the differential equation dy dt = ky 1 − y K where y(t) is the biomass (the tota

Dafna1 [17]

Answer:

a. The biomass weighs 2.30 * 10^7 kg after a year

b. It'll take 2.56 years to get to 4*10^7kg

Step-by-step explanation:

a.

k = 0.78,K = 6E7 kg

Given

dy/dt = ky(1- y/K)

Make ky dt the subject of formula

ky dt = dy/(1-y/K) --- make k dt the subject of formula

k dt = dy/(y(1-y/K))

k dt = K dy / y(K-y)

k dt = ((1/y) + (1/(K-y)))dy ---- integrate both sides

kt + c = ln(y/(K-y))

Ce^(kt) = y/(K-y)

Substitute the values of k and K

Ce^(0.78t) = y/(6*10^7 - y) ----- (1)

Given that y(0) = 2 * 10^7kg

(1) becomes

Ce^(0.78*0) = (2 * 10^7)/(6*10^7 - 2*10^7)

Ce° = (2*10^7)/(4*10^7

C = 2/7

Substitute 2/7 for C in (1)

2/7e^0.78t = y/(6*10^7 - y) ---(2)

We're to find the biomass a year later

So, t = 1

2/7e^0.78 = y/(6*10^7 - y)

0.62 = y/(6*10^7 - y)

y = 0.62(6*10^7 - y)

y = 0.62*6*10^7 - 0.62y

y + 0.62y = 0.62*6*10^7

1.62y = 0.62*6*10^7

1.62y = 3.72 * 10^7

y = 2.30 * 10^7kg.

Hence, the biomass weighs 2.30 * 10^7 kg after a year

b.

Here, we're to calculate the time it'll take the biomass to get to 4*10^7 kg

Substitute 4*10^7 for y in (2)

2/7e^0.78t = 4*10^7/(6*10^7 - 4*10^7)

2/7e^0.78t = 4*10^7/2*10^7

2/7e^0.78t = 2

e^0.78t = (2*7)/2

e^0.78t = 2

t = 2 * 1/0.78

t = 2.56 years

Hence, it'll take 2.56 years to get to 4*10^7kg

8 0

3 years ago

A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represe

mash [69]

Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by
$Area= \frac{5}{2} x\times2.8=7x$

Therefore, the volume of the prism is given by
$Volume=7x(2x+1)=14x^2+7x$

5 0

3 years ago

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