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2 years ago

Tyler used 6 gallons of paint to paint 4/7 of a fence. How many gallons will it take to paint the whole fences

Mathematics

1 answer:

vredina [299]2 years ago

5 0

Answer:

Step-by-step explanation:

(6 gal)/(4/7 fence) = (21/2 gal)/fence = (10.5 gal)/fence

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Scott makes a scale drawing of a rectangular park. He uses the scale 5 centimeters: 3 meters. The length of his drawing is 20 ce

Svet_ta [14]

Answer:

The area of the park is $108\ m^{2}$

Step-by-step explanation:

we know that

The scale drawing is $\frac{5}{3}\frac{cm}{m}$

step 1

Find the actual length of the rectangular park

Divide the length in the drawing by the scale drawing

$20/(5/3)=12\ m$

step 2

Find the actual width of the rectangular park

Divide the width in the drawing by the scale drawing

$15/(5/3)=9\ m$

step 3

Find the area of the park

$A=(12)(9)=108\ m^{2}$

5 0

3 years ago

For what values of a does the equation a+x= 1+xa^2 have no solution?

Anton [14]

Answer:

We have the equation

$a+x= 1+xa^2$

we leave the terms with x on the left side of the equation and the independent terms on the right side.

$x-xa^2=1-a\\(1-a^2)x=1-a\\$

resolving for x we have that

$x=\frac{1-a}{1-a^2}$

Since we need that the equation doesn't have solution, then it is necessary that the denominator of x be 0 and this occur when $1-a^2=0\\1=a^2\\a=\pm1$

Then, for $a=\pm1$ the equation hasn't solution

7 0

3 years ago

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 $0.66$

6 0

3 years ago

For the monthly rainfall data set of 7 cm, 3 cm, 10 cm, 7 cm, 12 cm, 10 cm, 8 cm, and 7 cm calculate the mean. * what is the mea

timama [110]

The mean would be 8 since you would have to add all of them up which would give you 64 and then divide by the amount of numbers their are which is 8 so 64/8 = 8

5 0

2 years ago

Are they unique more than one or no triangle

Tanya [424]

The measures of the angles of a triangle add to 180.

45 + 45 + 90 = 180
The measures of these three angles do add to 180, ,so there is at least one triangle with these angle measures.
Using AA triangle similarity, any triangle with the same angle measures will be similar.

From the figure you already see two triangles with angles 45-45-90. There is an infinite number of triangles with those angle measures.

8 0

3 years ago