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ASHA 777 [7]
3 years ago
14

a seed company planted a floral mosaic of a national flags.the perimeter of the flag is 560 feet determine the flags length and

width if the length is 40 feet greater that width.write three situation to which you could apply the resulting system of equations
Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0
Let
x------------> <span>the flags length
</span>y------------> the flags <span>width
P----------> perimeter

we know that
p=2x+2y------> 2x+2y=560----------> equation 1
and
x=y+40-------------> equation 2
</span> substitute 2 in 1<span>
2*(y+40)+2y=560-----------> 2y+80+2y=560--------> 4y=480------> y=120
x=y+40-------> 120+40----------> x=160

the answer is 
</span>the flags length is 160 ft
the flags width is 120 ft

Part 2) Write three situation to which you could apply the resulting system of equations

 1) It can be used when considering the relationship between the price of a product and the quantities of the product that people want to buy at a certain price.

 2) It can be used to determine the speed, distance and time duration when traveling by car, and you want to know the values ​​of the unknown variables in your trips.

3) It can be used to determine the most convenient loan option to buy a car or a house when considering the duration of the loan.

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Answer: 22

Work:
4 * 6 = 24
24 - 2 = 22
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2 years ago
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Jessica drew a circle divided into 8 equal parts she shaded six of the parts what fraction is equivalent to the part of the circ
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Answer:

3/4

Step-by-step explanation:

Jessica shaded 6/8 of the circle. That fraction can be reduced by removing a factor of 2 from numerator and denominator. The reduced fraction is 3/4.

\dfrac{6}{8}=\dfrac{2\cdot 3}{2\cdot 4}=\dfrac{2}{2}\cdot\dfrac{3}{4}=1\cdot\dfrac{3}{4}\\\\=\dfrac{3}{4}

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3 years ago
I WILL GAVE BRAINLIEST
Arte-miy333 [17]

Answer:

x < -14

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

  • -3x+6-6 > 48-6
  • -3x > 42

Step 2: Divide both sides by -3 and flip the inequality sign.

  • -3x/-3 > 42/-3
  • x < -14

Therefore, the answer is  x < -14.

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Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court
Ksju [112]

Answer:

(a)\dfrac{92}{117}

(b)\dfrac{8}{39}

(c)\dfrac{25}{117}

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed)=P(MW)+P(WM)

=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.
  • Two women are appointed

P(at least one woman is appointed)=P(MW)+P(WM)+P(WW)

P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}

In Part B, P(MW)+P(WM)=\frac{8}{39}

Therefore:

P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}

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