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4 years ago

What is h+20=35-4h simplified?

Mathematics

2 answers:

dangina [55]4 years ago

7 0

Answer:

h=3

Step-by-step explanation:

subtract 20 from both sides

h+20-20=35-4h-20

simplify

h= -4h+15

Add 4h to both sides

h+4h= -4h +15 +4h

Simplify

5h=15

divide both sides by 5

$\frac{5h}{5} = \frac{15}{5}$

Simplify

h=3

Contact [7]4 years ago

5 0

Answer:

h=3

Step-by-step explanation:

h + 20 =35 -4h

h + 4h = 35 -20 ( so subtract 4h on both side and subtract 20 on both side )

5h=15

h = 15/5 ( so divide 5 on both side)

h=3

deserves a brainliest!! please

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In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each

Katarina [22]

Answer:

The number of student increased each year by 986.58.

Step-by-step explanation:

Given : In 2002, there were 972 students enrolled at Oakview High School.

To find : The number of students has increased by 1.5% each year ?

Solution :

Using the exponential growth function,

$P(t)=P_o(1+r)^t$

Here, $P_o=972$ is the initial population

r=1.5%=0.015 is the rate

t=1 time

$P(t)=972(1+0.015)^1$

$P(t)=972(1.015)$

$P(t)=986.58$

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4 years ago

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3 years ago

The following distribution shows the frequency of daily revenue for an Italian restaurant in Wilmington, Delaware. Revenue Frequ

sergejj [24]

Answer:

The probability that a randomly selected day will generate more than $6,000 in revenue is 0.325.

Step-by-step explanation:

The frequency distribution of daily revenue for an Italian restaurant in Wilmington, Delaware is:

Revenue Frequency

Under $2,000 18

$2,000 - $4,000 10

$4,000 - $6,000 26

$6,000 - $8,000 14

$8,000 - $10,000 8

Over $10,000 4

Total 80

The probability of an event E is defined as:

$P(E)=\frac{n(E)}{N}$

Here,

n (E) = favorable outcome

N = total outcomes

The favorable outcomes of the event X : "more than $6,000 in revenue" is defined as:

n (X) = 14 + 8 + 4 = 26

Total number of outcomes is, N = 80.

Compute the probability of the event X is:

$P(X)=\frac{n(X)}{N}=\frac{26}{80}=0.325$

Thus, the probability that a randomly selected day will generate more than $6,000 in revenue is 0.325.

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3 years ago

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Bracelet

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3 years ago

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing

tester [92]

The length of pendulum is 2.485 feet

<h3>Solution:</h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

Therefore, the given formula is:

$T=2\pi \sqrt{\frac{L}{32} }$

We have to find the length of pendulum that makes one full swing in 1.75 seconds

So the modify the given equation to find "L"

$T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8$

Substitute T = 1.75 seconds and $\pi = 3.14$

$L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485$

Thus length of pendulum is 2.485 feet approximately

7 0

4 years ago