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Shalnov [3]
2 years ago
9

67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning

.
Mathematics
2 answers:
Lera25 [3.4K]2 years ago
5 0
67,124 x 3/4 = 50,343

It is less than because after you multiply a whole by a fraction it creates a number that is less than that whole number
lesantik [10]2 years ago
4 0

Answer:

67,124 x 3/4= 50,343

The product is less than 67,124 because it is not greater than the number.

Step-by-step explanation:

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Identify the volume of a cone with base area 64π m2 and a height 4 m less than 3 times the radius, rounded to the nearest tenth.
melomori [17]
V=basearea times 1/3 times height
basearea=6<span>4π m2
hmm, they try to make it difficult

basearea=circle=pir^2
pir^2=64pi
divide by pi
r^2=64
sqrt
r=9

h is 4 les than 3 time r
h=-4+3(8)
h=-4+24
h=20

v=1/3*64pi*20=1280pi/3 m^3=1350.4

C
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2 years ago
Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total
Elena L [17]

Answer:

The answer is C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.

Hope this helps!

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5 0
2 years ago
Read 2 more answers
Roberto listed his assets and liabilities on a personal balance sheet.
mixer [17]
To see the effect on Robertos balance sheet, we will first have to get the total assets and liabilities
Total assets = cash+ investment+ house + car
Total liabilities= credit card + personal loan + mortgage  + car loan
Substituting the values, we will get
Total asset =$166000
Total liabilities =$1010000
Difference= $844000
To pay off car loan, he uses his investment
Total asset = $166000-5000
                   =$161000
Total liabilities= $1010000-5000
                        =$1005000
Difference=$844000
Therefore the answer is letter C, the difference between asset and liability will remain the same.

7 0
2 years ago
Read 2 more answers
Loki's home repairs will cost him $1,200. The bank will give him a loan for the full amount at an interest rate of 21%. The bank
bogdanovich [222]

Formula of interest =PRT divided by 100

6 0
2 years ago
Report Error Suppose $P(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $P(x)$ has rational coefficients $\
motikmotik

Answer:

We want a polynomial of smallest degree with rational coefficients with zeros in \sqrt{7}, 1 - \sqrt{6} and -3. The last root gives us the factor (x+3). Hence, our polynomial is

P(x) =(x+3)q(x)

where q is a polynomial with rational coefficients and roots \sqrt{7} and 1 - \sqrt{6}. The root \sqrt{7} gives us a factor x-\sqrt{7}, but in order to obtain rational coefficients we must consider the factor x^2-7.

An analogue idea works with 1 - \sqrt{6}. For convenience write  x - 1 + \sqrt{6} = ( x - 1) + \sqrt{6}. This gives the factor (x-1)^2-6. Hence,

P(x) = (x+3)(x^2-7)((x-1)^2-6)=x^5+x^4-18x^3-22x^2+77x+105

Notice that P(-1)=24. So, in order to satisfy the last condition we divide by 3 the whole polynomial, without altering its roots. Finally, the wanted polynomial is

P(x) =(1/3)x^5+(1/3)x^4-6x^3-(22/3)x^2+(77/3)x+35

Step-by-step explanation:

We must have present that any polynomial it's determined by its roots up to a constant factor. But here we have irrational ones, in order to eliminate the irrational coefficients that a factor of the type x-\sqrt7 will introduce in the expression, we need to multiply by its conjugate x+\sqrt7. Hence, we will obtain x^2-7 that have rational coefficients. Finally, the last condition is given with the intention to fix the constant factor. Usually it is enough to evaluate in the point and obtain the necessary factor.

4 0
2 years ago
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