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fgiga [73]
2 years ago
10

The sum of two consecutive odd integers is 236. What is the smaller integer?

Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
8 0

Answer:

D. 113

Step-by-step explanation:

If you take the other numbers and subtract each from the original 236, they all exceed the amount. So the answer would be 113.

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Jude says that the volume of a square pyramid with base edges of 7 in and a height of 7 in is equal to the volume of a cylinder
irakobra [83]

Answer:

Jude is not correct

Step-by-step explanation:

The volume of a square pyramid is given as:

V = a^2\frac{h}{3}

where a = base edge and h = height

Hence, the volume of the square pyramid with base edge of 7 in and height  of 7 in is:

V = 7^2*\frac{7}{3}

V = 114.3 in^3 ≅ 114 in^3

The volume of a cylinder is given as:

V = \pi r^2h

where r = radius and h = height

Hence, the volume of a cylinder with radius of 7 in and height of 7 in is:

V = \pi *7^2*7

V = 1077.57 in^3 ≅ 1078 in^3

Since their volumes are not equal, Jude is not correct.

8 0
2 years ago
Susan and ronald dugan agreed upon the price of 256,000 for their new home. They plan to make 30 percent down payment and financ
Eduardwww [97]

Answer:

The total amount to be paid for new home is $838,014.72  

Step-by-step explanation:

Given as :

The price of the new house = $256,000

The down payment amount = 30% of house price

So, The down payment price =  30% of $256,000

i.e The down payment price =  \dfrac{30}{100} × 256000

Or, The down payment price = $76,800

Now, rest amount is finance

So, The finance Amount = p = $256000 - $76800 = $179,200

The rate of interest applied = r = 7.5%

The time period of finance = t = 20 years

Let The Amount after 20 years of finance = $A

Let The total amount to be paid for new home = $B

<u>Now, From Compound Interest </u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $179,200 × (1+\dfrac{\textrm 7.5}{100})^{\textrm 20}

Or, A = $179,200 × (1.075)^{\textrm 20}

Or, A = $179,200 × 4.24785

∴  A = $761,214.72

So,The Amount after 20 years of finance = A = $761,214.72

<u>Now, Again</u>

The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance

Or, B = $76,800 + A

Or, B = $76,800 + $761,214.72

Or, B = $838,014.72

So, The total amount to be paid for new home = B = $838,014.72

Hence, The total amount to be paid for new home is $838,014.72  Answer

7 0
2 years ago
In a large city, 46% of adults support the local football team building a new stadium. If a poll is taken from a random sample o
Sveta_85 [38]

Answer: 0.46, 0.056, the distribution is approximately normal

Step-by-step explanation: The shape is approximately normal since the expected number of successes equals 36.8 and the expected number of failures equals 43.2 are both larger than 10

7 0
2 years ago
Consider the graph of the line y = one-halfx – 4 and the point (−4, 2). The slope of a line parallel to the given line is . A po
Musya8 [376]

the awnser is (3,-5)

8 0
2 years ago
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Find the exact value of tan 7pi/6
sergeinik [125]

Answer:

\sqrt{3} /3 or 210°

Step-by-step explanation:

4 0
2 years ago
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