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2 years ago

6

WILL GIVE BRAINIEST As a fundraiser the school has a pie eating contest. Matt eats 2.75 pies in 300 seconds. If Matt eats at a c

onstant speed, how many pies does he eat in one second? Give your answer to the nearest hundredth of a second. Fill in the blank. Matt ate _____ pie in one second.

1 answer:

romanna [79]2 years ago

5 0

Answer:

0.01

Step-by-step explanation:

300 seconds = 2.75 pies

1 second = (1/300) × 2.75

= 0.009167

Approximately, 0.01 pie

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URGENT HELP ME PLEASE

Trava [24]

Answer:

(a) $\log_3(\dfrac{81}{3})=3$

(b) $\log_5(\dfrac{625}{25})=2$

(c) $\log_2(\dfrac{64}{8})=3$

(d) $\log_4(\dfrac{64}{16})=1$

(e) $\log_6(36^4)=8$

(f) $\log(100^3)=6$

Step-by-step explanation:

Let as consider the given equations are $\log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?$ .

(a)

$\log_3(\dfrac{81}{3})=\log_3(27)$

$\log_3(\dfrac{81}{3})=\log_3(3^3)$

$\log_3(\dfrac{81}{3})=3$ $[\because \log_aa^x=x]$

(b)

$\log_5(\dfrac{625}{25})=\log_5(25)$

$\log_5(\dfrac{625}{25})=\log_5(5^2)$

$\log_5(\dfrac{625}{25})=2$ $[\because \log_aa^x=x]$

(c)

$\log_2(\dfrac{64}{8})=\log_2(8)$

$\log_2(\dfrac{64}{8})=\log_2(2^3)$

$\log_2(\dfrac{64}{8})=3$ $[\because \log_aa^x=x]$

(d)

$\log_4(\dfrac{64}{16})=\log_4(4)$

$\log_4(\dfrac{64}{16})=1$ $[\because \log_aa^x=x]$

(e)

$\log_6(36^4)=\log_6((6^2)^4)$

$\log_6(36^4)=\log_6(6^8)$

$\log_6(36^4)=8$ $[\because \log_aa^x=x]$

(f)

$\log(100^3)=\log((10^2)^3)$

$\log(100^3)=\log(10^6)$

$\log(100^3)=6$ $[\because \log10^x=x]$

5 0

3 years ago

What ratio shows 20:12 written in simplest form?

arsen [322]

It is 5:3 or 5/3

Divide it by 4

4 0

3 years ago

Read 2 more answers

Nadia finds out her favorite horse family population is increasing at a constant rate. The horse family was at 24 in 2011 and is

pogonyaev

Answer:

The equation is p = (8/3) t + 24

In 2020, we will have about 48 horses.

Step-by-step explanation:

In 3 years the family increased by 32 - 24 = 8.

So the constant of proportionality = 8/3.

The required equation is p = (8/3)tx + 24

where p = the population and t is the number of years after 2011.

So in 2020 we can predict that in 2020 the number of horses

= (8/3) * 9 + 24

= 72/3 + 24

= 24 + 24

= 48.

4 0

3 years ago

What is GE ?<br> Enter your answer in the box.

Flura [38]

The length of GE is 10 units

Explanation:

Given that the length of XY = 5 units and YZ = 4.6 units

<u>The length of GE:</u>

We need to determine the length of GE

From the figure, we can see that ZY bisects GE and XY bisects EF.

The lines ZY and XY both bisect GF.

The midpoint theorem states that "the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side".

Since, we have,

EX = XF and X is the midpoint of EF

GY = YF and Y is the midpoint of GF

Since, XY is the line segment that connects the midpoints of the two sides of the triangle.

Applying the midpoint theorem, we have,

$GE = 2XY$

$GE = 2(5)=10 \ units$

Thus, the length of GE is 10 units.

6 0

3 years ago

67×x[12+14]÷[22x×2]×2

marshall27 [118]

I started the problem, hope this helps

6 0

3 years ago