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DaniilM [7]
3 years ago
8

The total number of lollipops Eric buys from a store is given by 6×7. Braxton says that Eric buys 6 packs of lollipops with 7 lo

llipops in each pack. Alexis says that Eric buys 7 packs of lollipops with 6 lollipops in each pack.
Mathematics
1 answer:
maksim [4K]3 years ago
5 0

Answer:

Both boys are correct. The total number of lollipops would be 42.

Step-by-step explanation:

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In a lab experiment, 60 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to doub
Levart [38]

Answer:

17.5 hours

Step-by-step explanation:

107 = 60(2^n)

n(lg2) = lg(107/60)

n = 0.8345763908 × 21

n = 17.52610421 hours

7 0
3 years ago
Marlena has 3 straws. Two straws have the lengths shown. She does not know the length of the shortest straw, but when she forms
swat32
The correct answer to this is 5,6,7, good luck 
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3 years ago
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A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.8 ft/s,
shusha [124]

Answer:

-0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

Step-by-step explanation:

Let

x= distance between the wall and ladder

Ф = angle between the ladder and ground

The rate of change is: dx/dt = 0.8 ft/s

We need to find dФ/dt when x = 8 ft/s

From the triangle in the figure we see that:

cos Ф = x/10

=> x = 10 cosФ

Now, the rate of change will be

d(x)/dt = d/dt (10cosФ)

dx/dt = -10 sin Ф dФ/dt

dx/dt = 0.8 (given)

to find dФ/dt

we need to find sin Ф when x = 8

By Pythagoras theorem

(hypotenuse)^2 = (Perpendicular)^2+(base)^2

(10)^2 = (8)^2+ (Perpendicular)^2

100 = 64 +  (Perpendicular)^2

=>  (Perpendicular)^2 = 100-64

(Perpendicular)^2 = 36

Perpendicular = 6

sin Ф = Perpendicular/hypotenuse

sin Ф = 6/10 = 3/5

Putting values in:

dx/dt = -10 sin Ф dФ/dt

0.8 = -10(3/5) dФ/dt

0.8 = -6 dФ/dt

=> dФ/dt = 0.8 / -6

dФ/dt = - 0.133 radians/s

So, -0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

3 0
3 years ago
Eight toymakers each carved 25 blocks<br> and 15 cars. How many toys did they<br> carve in all?
taurus [48]

Answer: 320 toys

Step-by-step explanation:

We can use an expression to solve this question.

8 (25 + 15)

8 (40)

320

4 0
2 years ago
Multiply the polynomial by distribution. Show your work and explain the steps you used to solve.
balandron [24]

Hello,

Why "Multiply the polynomial by distribution"  ?

It's s t u p i d, you compliquate the equation.

In order to find the roots of P(a)=(a-3)(a²+2a-6)=0

a²+2a-6

=(a²+2a+1)-7

=(a+1)²-7

=(a-√7)(a+√7)

P(a)=(a-3)(a-√7)(a+√7)

Roots are 3,√7 and -√7

(If i have well understood the question , sorry if not)

8 0
3 years ago
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