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3 years ago

A cookie factory puts 2/5 of a barrel of flour into each batch of cookies. How much flour will the factory use for 10 batches?

Mathematics

1 answer:

yawa3891 [41]3 years ago

6 0

Answer: 4

Step-by-step explanation: 2/5 x10 is 4

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A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after

Vlad [161]

Hello Shannonrodrigue. You can solve this by setting up an exponential growth equation.

$A = A_ob^t$
$3600 = 3000b^4$

Now we solve for b
$3600 = 3000b^4$
$\frac{3600}{3000} = \frac{3000b^{4}}{3000}$
$\frac{6}{5} = b^4$
$\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}$
$\sqrt[4]{\frac{6}{5}} = b$

Now that we have found b, we can use the equation $A = 3000b^t$ to predict how many bacteria will be present after 10 hours.
$b = \sqrt[4]{\frac{6}{5}}$
t = 10
$A = 3000b^t$
$A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732$

Answer = 4732

4 0

3 years ago

6 + (9 − 1) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4

Bas_tet [7]

Answer:

625

Step-by-step explanation:

1. parenthesis first, so it simplifies to ((6+(8)2÷4*1)/2)^4

2. pemdas says that multiplication and division go before addition and subtraction, so ((6+(8)2÷4*1)/2)^4 becomes ((6+16÷4*1)/2)^4 ---> ((6+4)/2)^4

3. then simplify inside of the parenthesis, so it becomes 5^4, which is 625

6 0

3 years ago

△PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined a

Sergeeva-Olga [200]

In order for two triangles to be similar, there must be 2 pairs of congruent angles. Since two angles of triangle PQR have different measures from two angles of triangle RST, it is impossible to have two pairs of congruent angles, so the triangles cannot be similar.

The answer is in bold type below.

<span>All interior angles must be given to determine similarity.
The triangles are not similar.
Similarity cannot be determined from the given information.
The triangles are similar. </span>

3 0

3 years ago

Read 2 more answers

Hyperloop, a new mode of travel, aims to reach a speed of 170170 \dfrac{\text{m}}{\text{s}} s m . This is 50\%50% less than th

liraira [26]

Answer:

Speed of sound is 340 meter per second.

Step-by-step explanation:

Let the speed of sound = x meter per second.

It is given that,

The new mode of travel has the speed 170 meter per second, which is 50% less than the speed of sound.

So, we get,

x - 50%x = 170

i.e. x - 0.5x = 170

i.e. 0.5x = 170

i.e. x = 340 meter per second

Hence, the speed of sound is 340 meter per second.

7 0

3 years ago

Jenny is x years old. Thomas is 3 times as old as her. Jenny is 5 years older than Alexis.

4vir4ik [10]

Answer:

C IS 36 CUZ 12X3=36

Step-by-step explanation:

sry i only can solve c

6 0

3 years ago