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3 years ago

Annie read 80 pages in 2 h. Express this rate as a unit rate in lowest terms.

Mathematics

2 answers:

love history [14]3 years ago

8 0

40 pages/1 hour

80 pages divided by 2 is 40 and 2 hours divided by 2 is 1 hour so it 40 pages / 1 hour

Aleksandr [31]3 years ago

3 0

It’s the second one(40 pages/ 1 hour)

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A scientist writes the equation n(h)100e^0.25h to model the growth of a certain bacteria in a petri dish, where N represents the

Natasha2012 [34]

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

$n(h)=100e^{0.25h}$

where, N represents the number of bacteria after 'h' hours.

So, we have given that there are 450 bacteria present.

N = 450

According to question,

$450=100e^{0.25h}\\\\\frac{450}{100}=e^{0.25h}\\\\4.5=e^{0.25h}\\\\\text{Taking natural log 'ln' on both sides}\\\\\ln (4.5)=0.25h\\\\1.50=0.25h\\\\h=\frac{1.50}{0.25}\\\\h\approx 6\ hours$

Hence, Second option is correct.

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2 years ago

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Applying the Procedure

Verizon [17]

Answer:

15 Square Inches

Step-by-step explanation:

Volume of the cone=40 cubic inches

Height of the cone=8 Inches

Step 1: Applying the formula for the volume of a cone

Volume of a Cone $=\frac{1}{3}\pi r^2 h=\frac{1}{3} X $Base Area X Height$

Step 2: Substituting values for the variables

$40=\frac{1}{3} X $Base Area X 8$

Step 3: Simplifying the right side

$40=\frac{8}{3} X $Base Area$

Step 4: Multiplying by the reciprocal

$40X\frac{3}{8}=\frac{8}{3} X\frac{3}{8} X $Base Area\\$

Therefore, Base Area of the Cone=15 Square Inches

8 0

2 years ago

Can someone please help? what is the missing length?

Harrizon [31]

31

since A = 1/2 b h, and the A is 279 and the height is 18, we can plug them in and solve for b.

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2 years ago

An arborist examined trees in an orchard to see if they were infected with a virus. Out of 90 trees, 40% had the virus. How many

Harman [31]

Answer:

36 trees were infected with the virus.

Step-by-step explanation:

Given:

Total number of trees = 90

Percentage of tree that had virus 40%

To find:

Number of tress that were infected by virus = ?

Solution:

Let the number trees that was affected by the virus be X.

then

X = 40% of 90

X = $\frac{40}{100} \times 90$

X = $0.4 \times 90$

X= 36

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2 years ago

Expand and Simplify 3(4x + 1 ) -2(3x-4)

pychu [463]

Answer:

<h3> $\boxed{ \bold{ 6x + 11}}$ </h3>

Step-by-step explanation:

$\mathsf{3(4x + 1) - 2(3x - 4)}$

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⇒ $\mathsf{12x + 3 - 6x + 8}$

Collect like terms

⇒ $\mathsf{6x + 11}$

Hope I helped!

Best regards!!

6 0

3 years ago

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