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Nastasia [14]
3 years ago
15

The dimensions of a 10 ft by 6 ft rectangle are multiplied by 1/3. how is the area affected?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
6 0
Area is proportional to the square of the dimensions. Divide the dimensions by 3, and you divide the area by 3-squared = 9.
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Help me plsss!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
MaRussiya [10]

Answer:

C.Infinitely many solutions

I solved by substitution

2x+3y=12\\-3y-3y\\2x=-3y+12\\\frac{2x=-3y+12}{2} \\x=-\frac{3}{2} y+6-6y=4x-24\\-6y=4(-\frac{3}{2}  y+6)-24\\-6y=-6y\\-6y+6y=-6y+6y\\0=0\\Infinitely many solutions

8 0
3 years ago
Read 2 more answers
A student council sold 856 copies of a school yearbook, four fifths of the students at the school bought a copy , how many stude
kumpel [21]

Answer:

I am guessing about 150 - 200 students did not buy a yearbook.

Step-by-step explanation:

First let's assume that there are 1,000 or so students in the school. 856 would be a little over 4/5 of 1,000 just as 8 would be 4/5 of 10.

8 0
3 years ago
Find the quotient of n(x) = 6x^5y^7 and m(x) = 2x^3y
likoan [24]

Answer:

a.  Yes

b.  Yes

c. Yes

d. Degree 8

Step-by-step explanation:

a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.

b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.

c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:

\frac{n(x)}{m(x)} =\frac{6\,x^5\,y^7}{2\,x^3\,y} =3\,x^2\,y^6

which as can be seen, also contains variables raised to positive integers.

d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8

Therefore the degree of this polynomial is 8.

6 0
3 years ago
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Sever21 [200]

Answer:

A, D

Step-by-step explanation:

Put x = 6 in equations and resultant is 12.

3 0
3 years ago
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Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in their drive-throughs. Certainly, the f
melisa1 [442]

Answer:

For the 99th percentile, we have X = 206 seconds.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 138.5, \sigma = 29

99th percentile:

Value of X when Z has a pvalue of 0.99. So we use Z = 2.325

Z = \frac{X - \mu}{\sigma}

2.325 = \frac{X - 138.5}{29}

X - 138.5 = 29*2.325

X = 205.92 = 206

For the 99th percentile, we have X = 206 seconds.

4 0
2 years ago
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