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2 years ago

15

the width of a piece of rectangular land is 5m shorter rhan 1/3 of its length .find the width of the land if the length is 60m,1

50m.

1 answer:

aniked [119]2 years ago

6 0

Answer:

If width = 60 m, length = 195 m.

If width = 150 m, length = 465 m.

Step-by-step explanation:

The area of a rectangle is l * w or length times width.

So we can set an equation (letting w = width and x = length)

w = $1/3x - 5$

Part 1: width = 60m:

60 = $1/3x - 5$

65 = $1/3x$

x = 195 m

Part 2: width = 150 m:

150 = $1/3x - 5$

155 = $1/3x$

x = 465 m

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Suppose that in a certain county 37% of voters are registered as Democrats, 29% as Republicans, 7% as Green party, and the rest

Fantom [35]

Answer:

$0.66$

Step-by-step explanation:

GIVEN: Suppose that in a certain county $37\%$ of voters are registered as Democrats, $29\%$ as Republicans, $7\%$ as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.

TO FIND: Probability that the first call will be to either a Democrat or a Republican.

SOLUTION:

Lets total population of county be $100x$ .

voters registered as Democrats $=37\%=\frac{37}{100}\times100x$

$=37x$

voters registered as Republicans $=29\%=\frac{29}{100}\times100x$

$=29x$

voters registered as Green party $=7\%=\frac{7}{100}\times100x$

$=7x$

Probability that first call will be to Democrats $P(A)=\frac{\text{total democrats}}{\text{total voters}}$

$=\frac{37x}{100x}=0.37$

Probability that first call will be to Republican $P(B)=\frac{\text{total republicans}}{\text{total voters}}$

$=\frac{29x}{100x}=0.29$

probability that the first call will be to either a Democrat or a Republican

$=P(A)+P(B)$

$=0.37+0.29$

$=0.66$

Hence the probability that the first call will be to either a Democrat or a Republican is $0.66$

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3 years ago

A sandwich store charges a delivery fee to bring lunch to an office building. One office pays $33 for 4 turkey sandwiches. Anoth

shutvik [7]

Answer:

$12

Step-by-step explanation:

assuming that the cost of delivery is constant irrespective of the number ordered

Let the cost of sandwich be x

First office

$33=4x+c where c is the cost of delivery

Second office

$61=8x+c

These two are simultaneous equation. Subtracting the equation of first office from the second office we obtain

4x=28

Therefore, x=28/4=7

The cost of delivery is 33-(4*7)=33-28=5

Therefore, one sandwich plus delivery costs 7+5=$12

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3 years ago

A survey about the student government program at a school finds the following results:

Serhud [2]

A total of 440 students took part in the survey. Each student makes up 0.8181818182% of the central angle of the circle graph. You get to this number by dividing 360 degrees by 440 students. Then you simply multiply this number by 110 students (who liked the program).

0.8181818182%*110=90 degrees

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2 years ago

PLZ HELP FOR POINTS thank you

Liono4ka [1.6K]

Given : y = -25 and x = -5

We can notice that if we Multiply 'x' with 5 we get 'y'

That is (-5) × 5 = -25

⇒ x multiplied by 5 = y

(a) The Equation that relates x and y is 5x = y

(b) We found that the Equation of this Direct variation is : 5x = y

The Question is to find the value of y when x = 3

The Value of y at x = 3 can be found by simply substituting x = 3 in the equation we found.

⇒ y = 5x

⇒ y = 5 × 3

⇒ y = 15

So, the Value of y when x = 3 is 15

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2 years ago

Ava earns $12 per hour working at a convenience store.

Fantom [35]

Answer:

29

Step-by-step explanation:

350 divided by 12 and you will get an answer of 29.16666667 and when you round off to whole number you will be getting 29 since there is a number less than 5 next to the decimal point .

8 0

2 years ago

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