If 30% of a number is 45, what is 4/5 of the number?

Answer:

62 feet

Step-by-step explanation:

Hi there,

Let's start the problem by figuing out the width of the rectangle.

let w = the width of the rectangle.

The formula for the area of a rectangle is A = l*w, so let's plug in what we know.

228 = 12w

Now, let's solve for w, the width, by dividing both sides by 12

w = 19; The width is 19 feet.

Now, we have our length, 12 feet, and our width 19 feet.

So, we should now use the formula for perimiter to find the perimiter of this rectangle. The formula is P = W + W + L + L

Let's plug in the numbers

P = 12 + 12 + 19 + 19

P = 62 feet

Hope this helps! Stay safe!

- Emily

Answer:

[tex]A' = (1.707,-5.121)[/tex]

The new point belongs to the fourth quadrant.

Step-by-step explanation:

The relative vector is:

[tex]\vec r = (2-1,-1+3)[/tex]

[tex]\vec r = (1, 2)[/tex]

The length of the vector is:

[tex]\|\vec r\| = \sqrt{1^{2}+2^{2}}[/tex]

[tex]\|\vec r\| = \sqrt{5}[/tex]

The angle with respect to the horizontal (+x direction) is:

[tex]\theta = \tan^{-1} \frac{2}{1}[/tex]

[tex]\theta \approx 63.435^{\textdegree}[/tex]

The new angle with respect to the horizontal (+x direction) is:

[tex]\theta' = 63.435^{\textdegree}-135^{\textdegree}[/tex]

[tex]\theta' = -71.565^{\textdegree}[/tex]

The new point is:

[tex]A' = (1 + \sqrt{5}\cdot \cos (-71.565^{\textdegree}),-3 + \sqrt{5}\cdot \sin(-71.565^{\textdegree}))[/tex]

[tex]A' = (1.707,-5.121)[/tex]

The new point belongs to the fourth quadrant.

Answer:

The new point A location is (1.69, -51267)

The quadrant is 4th quadrant

Step-by-step explanation:

Here we have a point rotating about another point, therefore we have;

Let point (1, -3) be = P

Therefore the length of line AP is given by the following relation;

[tex]AP =\sqrt{(2-1)^2+(-1-(-3))^2} = \sqrt{5}[/tex]

With angle

[tex]Actan (\frac{-1 -(-3)}{2-1}) = Actan( 2) = 63^{\circ} \ due \ North \ of \ East[/tex]

Rotating through 135° clockwise gives;

63° - 135° = 72° Due south of east from P

The coordinates is then given as follows;

y coordinates = -3 - sin 72×√5 = -5.1267

The x coordinates will be 1 + cos 72×√5 = 1.69

The coordinate of the new point A location = (1.69, -51267)

Therefore the quadrant remains the 4th quadrant.

Answer:

The answer to your question is 12 in

Step-by-step explanation:

Data

Circumference = 75 in

radius = ?

π = 3.14

Circumference is defined as the distance around the edge of a circle.

Formula

Circumference = 2 π radius

Solve for radius

Radius = Circumference / 2π

-Substitution

Radius = 75 / 2(3.14)

-Simplification

Radius = 75/6.28

-Result

Radius = 11.94 in ≈ 12 in

Answer:

1)  12in

Step-by-step explanation:

The circumference is 75, so to find the diameter you have to divide 75 by 3.14. You get 24 approximately. Then divide the diameter by 2, so 24/2=12.

Answer:

D. 4/25

Step-by-step explanation:

To find probability, you multiply 4/10 by 4/10. You should get 16/100, which simplifies to 4/25.

The slope of the line given by the equation -3y=8x-5 is -8/3. This is obtained by re-arranging the equation into slope-intercept form (y=mx+b), where 'm' is the slope.

The equation given is -3y=8x-5. To find the slope of the line, we first need to convert this equation to the form y=mx+b, which is the slope-intercept form of a line. In this form, the coefficient 'm' represents the slope, and 'b' represents the y-intercept.

First, divide all terms by -3 to transform the equation. Doing so gives us y=-8/3x + 5/3. Thus, the slope of the line is -8/3. This means that for every increase of 1 unit on the x (horizontal) axis, y (on the vertical axis) will decrease by 8/3 units.

Different lines can have different slopes. A slope can be positive, negative, zero, or undefined. In this case, because our slope is -8/3, we have a line that slopes downwards when reading from left to right.

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Answer:

20

Step-by-step explanation:

12square + 16 square=400

Square root it = 20

Answer:

Step-by-step explanation:

a^2+b^2=c^2

144+256=?

144+256=400

the square root of 400 is 20

so the missing side is 20

1) $56.75-$13.45=$43.3

2) $43.4-$16.32=$27.08

3) $27.08-$7.65=$19.43

Answer: she have left $19.43

Answer:

The inequality is [tex]25w+200> 750.[/tex]

Step-by-step explanation:

The question is incomplete so the complete question is attached below:

Now, to write an inequality that can be used to find [tex]w[/tex], the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection.

Let the number of weeks be [tex]w.[/tex]

Number of cards Lawrence purchases each week = 25.

Number of cards Lawrence's father gave him = 200.

Total number of cards Lawrence will have more than in his collection = 750.

Now, to write an inequality that can be used to get the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection:

[tex]25\times w+200>750[/tex]

[tex]25w+200> 750.[/tex]

Therefore, the inequality is [tex]25w+200> 750.[/tex]

Answer:

A

Step-by-step explanation:

the explanation is in the picture

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Answer:

[tex]P(B \cup b) =\frac{4}{7}[/tex]

Step-by-step explanation:

Total Number of students, the Universal Set [tex]n(\mathcal{E})[/tex]=28

Let the number of those who play basketball =B

Let the number of those who play baseball =n

Number who play neither sport, [tex]n(B\cup b)'[/tex]=12

From Set Theory,

Since we want to determine the probability that a student chosen randomly from the class plays basketball or baseball, we only simply exclude those who play neither sports.

Mathematically,From Set Theory,

[tex]\mathcal{E}=n(B \cup b)+n(B \cup b)'\\28=n(B \cup b)+12\\n(B \cup b)=28-12\\n(B \cup b)=16[/tex]

The Probability that a student chosen randomly from the class plays basketball or baseball

[tex]P(B \cup b)=\frac{n(B \cup b)}{n(\mathcal{E})}\\=\dfrac{16}{28}\\ =\dfrac{4}{7}[/tex]

Answer:

4/7

Step-by-step explanation:

4/7

Final answer:

To find the distance Serena can hit a golf ball with her driver, we can multiply the distance with her 9-iron by 2.

Explanation:

To find the expression that represents the distance Serena hit the golf ball with her 9-iron, we know that the ball stopped x yards in front of the 100-yard marker. So, the distance Serena hit the ball with her 9-iron is 100 - x yards. To find how far Serena can hit a golf ball with her driver, which is twice as far as her 9-iron, we can multiply the distance with her 9-iron by 2. Therefore, the expression that represents the distance Serena can hit the golf ball with her driver is 2(100 - x) yards.

it is the slope its not that hard to figure out

-2. -3/4, -1/4, 2

-2 = -2

-3/4 = -0.75

-1/4 = -0.25

2 = 2

Answer:

27

Step-by-step explanation:

4(5) + 3(3) - 2

20 + 9 - 2

27

Answer:

$342.7

Step-by-step explanation:

Let the sale price be x.

So,

x - 30% of x = $239.89

x - 30/100*x = 239.89

(100x-30x)/100 = 239.89

70x = 239.89 *100

x = 23989/70

x = $342.7

sale price = $342.7

Answer:

342.70

Step-by-step explanation:

Since 100%-30%=70% our equation will be:

0.70x=239.89

x=original price

0.70x=239.89

/0.70   /0.70

Divide both sides by 0.70

x=342.7

$342.70

Answer:

C

Step-by-step explanation:

Use Law of Sines.

Find third angle, which is 26 degrees.

x/sin28=8.2/sin26

cross multiply, which becomes

xsin26=8.2sin28

then divide sin26 both sides

x=8.78

Answer:

(-3 x 3y) + 2x

Step-by-step explanation:

We see that Angle C = 99.

Then we see that Angle A + 22 + Angle C = 180

Substitute in the 99

Angle A + 22 + 99 = 180

Angle A = 59

Answer:[tex]2\sqrt{x}[/tex]

Step-by-step explanation:

4x^1/2=[tex]\sqrt[2]{4x}[/tex]=[tex]2\sqrt{x}[/tex]

Answer:

[tex]2\sqrt{x}[/tex]

Step-by-step explanation:

Fractional exponents always mean roots. The denominator indicates which root it is. Since the denominator here is 2, the root is a square, so:

[tex](4x)^{1/2}=\sqrt{4x} =2\sqrt{x}[/tex]

Thus, the answer is [tex]2\sqrt{x}[/tex].

Hope this helps!

Answer:

Hey.  I'm not sure if you have typos, but if you're saying ''Ken can walk 40 dogs in 8 hours, how many dogs can Ken walk in 12 hours", the answer is 60.

Step-by-step explanation:

So, we get our answer by dividing the amount of dogs Ken can walk by the amount of hours.  40/8 = 5.  He walks 5 dogs an hour.  Now that we know he walks 5 dogs an hour, we can multiply by 5 for each hour.  5 (Dogs/Hour) x 12 (Hours the dogs were walked) = 60, and that is our final answer.

Answer:

$4.44

Step-by-step explanation:

$3.70 * 1.2 = $4.44

Answer:

$4.44

Step-by-step explanation:

Answer:

He is not correct

Step-by-step explanation:

70%=70/100= 0.7

70% of 30 =0.7x 30= 21 not 24

Answer:

Answer is A. (-1, 3)

Refer below.

Step-by-step explanation:

If the line and exponential function intersect only once then the line is tangent to the exponential at that point and therefore is always is below the exponential except at the point of intersection where there are equal.

Answer: The probability is 0.06

Step-by-step explanation:

Urn A contains 1 red ball and 4 blue balls.

Urn B contains 2 red balls and 3 blue balls.

The probability of "selecting" a ball of a given colour is equal to the number of balls of that colour in the urn divided by the total number of balls in the urn.

Now, the probability of drawing two balls of the same color in the fourth selection needs to:

1 selection: red ball from A and one blue ball from B, the probability is:

Pa = 1/5, Pb = 3/5, P = 1/5*3/5 = 3/25

second selection: a blue ball from A and one red ball from B, the probability is (remember that now we have one ball less in each urn):

Pa = 4/4, Pb = 2/4, P = 1*2/4 = 1/2

for the third selection we have that we again need to take a blue ball from A and a red ball from B, here the probability is:

Pa = 3/3, Pb = 1/3, P = 1*1/3 = 1/3

the total probability will be the product of the 3 selections

Pt = (1/3)*(1/2)*(3/25) = 0.02

but we have 3 possible permutations of those selections, in one we took the red ball from A in the first selection, other were we took it in the second, and others where we took it in the third.

So the actual probability is 3*Pt = 3*0.02 = 0.06

Answer:

$4375

Step-by-step explanation:

What you do first is multiple $5,000 by 3.5% to get $175 after that you would then multiple $175 by 25 for each year you are getting $175 when you do all that you get $4375 in interest  

Answer:

more likely

Step-by-step explanation:

the probability of 0.05 suggests there is a chance of that event happening. A probability of 0 says that such event would never happen. so despite being small the 0.05 chance is higher than the probability of 0

Answer:

More likely

Step-by-step explanation:

.05 > 0 that means no matter how small it's still going to be more likely if bigger than zero

Answer:

2 distinct real number zeros

Step-by-step explanation:

The discriminant b^2 - 4ac

= (-17)^2 - 4*4*3

= 241

So it has 2 distinct roots.

Step-by-step explanation:

5/7 < 9/11

Square both to get

(25/49) < (81/121)

----------------------

Least common multiple of the fraction denominators is 81*121 because they

share no factors.

---------------------

Rewrite the fractions as

((25*121)/(49/121)) < (81*49)/(81*49))

Simplify to get:

3025/5929 < 3969/5929

-------------

pick some numbers between 3025 and 3969

like 3127, 3255, 3659

------------------------

Form the fractions: 3127/5929, 3255/5929, 3659/5929

----------------------

Take the square root of each:

sqrt[3127/5929], sqrt[3255/5929], sqrt[3659/5929]

------------------------

Each of these will be irrational numbers between 5/7 and 9/11

Answer:

Step-by-step explanation:

hello :

5/7 ≅ 0.71                     9/11≅0.82

3 irrational number 5/7 between 9/11​ are :

72/100  ,   73/100  , 74/100

Answer:

[tex]y-1=\frac{1}{12} (x-7)[/tex]

Step-by-step explanation:

Point-slope form is: [tex]y-y_1=m(x-x_1)[/tex] , where (x_1, y_1) is the point given and m is the slope.

The problem gives us two points, actually: (7, 1) and (-5, 0); the second one is the x-intercept because x-intercepts always have a y-coordinates of 0. We can use these two points to find the slope, which is just change in y over change in x: [tex]\frac{1-0}{7-(-5)}=\frac{1}{12}[/tex]. So, the slope = m = 1/12.

Now, we have our point (7, 1) and the slope 1/12, so just plug these into the above format: [tex]y-1=\frac{1}{12} (x-7)[/tex]

Hope this helps!

Answer:

y - 1 = (1/12)(x - 7)

y = (1/12)(x + 5)

You can use either of these

Step-by-step explanation:

Slope using (-5,0) and (7,1)

m = (0-1)/(-5-7) = -1/-12

m = 1/12

y - 1 = (1/12)(x - 7)

Or,

y - 0 = (1/12)(x - -5)

y = (1/12)(x + 5)

Answer:

  11. x = 6; y = 6.5

  12. x = 2; y = 4

Step-by-step explanation:

In each figure, the hash marks on the lines indicate the parallel lines (marked with red arrows) are equally-spaced. That means the two expressions involving x are equal to each other, and the two expressions involving y are equal to each other.

__

11. 2x +1 = x +7

  x = 6 . . . . . . . subtract (x+1) from both sides

and

  3y -8 = y +5

  2y = 13 . . . . add (8-y) to both sides

  y = 6.5 . . . . divide by the coefficient of y

__

12. x +3 = 3/2x +2

  1 = 1/2x . . . . . subtract (x+2)

  2 = x . . . . . . . multiply by 2

and

  2y -1 = 3y -5

  4 = y . . . . . . add (5 -2y)

Answer:

11. x=6;y=6.5  12. x=2;y=4

Step-by-step explanation:

hope that helped