For the decimal 0.09, (a) write a fraction and (b) write a percent.

Answer:

The total amount that all three friends have = $258

Step-by-step explanation:

Three friends: let their initial money be  Ami's money =A, Jan = B, Toy = C

Toy started with $36 and ended with same amount

C = $36

After Ami gives, She is left with= A-x

Jan becomes= 2B

Toy becomes= 2C = 2×36 = 72

After Jan gives, Jan is left with = 2B-y

Ami now has = 2(A-x)

Toy now has = 2(72) = 144

After Toy gives, Toy is left with= 144-z

Ami now has = 2(2)(A-x) = 4(A-x)

Jan now has = 2(2B-y)

Since Toy is left with $36 at the end:

36 = 144-z

z = 144-36 = 108

So Toy spent $108 to double his two other friend's money

Both Amy  and Jan had $108 in total when Toy had $144

Difference between the deductions across = $108

The total amount that all three friends have = 144+108

The total amount that all three friends have= $258

Answer:

The answer is 252

Step-by-step explanation:

Answer:

Park Q has greatest percentage of pink butterflies.

Step-by-step explanation:

Butterfly Park Survey Park           P     Q      R       S

No, of Pink Butterflies                  25    35   37      23

Total Number of Butterflies          53    64   75     55

Now we are supposed to find which park had the greatest percentage of pink butterflies

So, Percentage of pink butterflies in park P =[tex]\frac{25}{53} \times 100=47.169\%[/tex]

Percentage of pink butterflies in park Q =[tex]\frac{35}{64} \times 100=54.68\%[/tex]

Percentage of pink butterflies in park R= [tex]\frac{37}{75} \times 100=49.33\%[/tex]

Percentage of pink butterflies in park S= [tex]\frac{23}{55} \times 100=41.81\%[/tex]

So, Park Q has greatest percentage of pink butterflies.

So, Option B is true

Hence Park Q has greatest percentage of pink butterflies.

Answer:

[tex]$k=\frac{7}{4} $[/tex]

Step-by-step explanation:

[tex]2x^2+px-15=0[/tex]

Once [tex]x=-5[/tex]

[tex]2(-5)^2+p(-5)-15=0[/tex]

[tex]2(25)-5p-15=0[/tex]

[tex]50-5p-15=0[/tex]

[tex]35-5p=0[/tex]

[tex]p=7[/tex]

Quadratic Equation:

[tex]2x^2+7x-15=0[/tex]

[tex]p(x^2+x)+k=0 \Rightarrow 7(x^2+x)+k=0 \Rightarrow 7x^2+7x+k=0[/tex]

[tex]\Delta=b^2-4ac[/tex]

[tex]\Delta=7^2-4(7)k[/tex]

[tex]\Delta=49-28k[/tex]

The quadratic equation having two equal roots means that the discriminant is equal to zero.

[tex]0=49-28k[/tex]

[tex]-49=-28k[/tex]

[tex]$k=\frac{49}{28} $[/tex]

[tex]$k=\frac{7}{4} $[/tex]

Answer:

9 is the answer happy to help

Answer:

12

Step-by-step explanation:

Edge

Answer:

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

Step-by-step explanation:

1) Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ____

Let the coordinates of B be [tex](x_2,y_2)[/tex]

Coordinates of A =[tex](x_1,y_1)=(-6,5)[/tex]

Coordinates of C=(x,y)=(3.6,-0.4)

We will use section formula over here

[tex]x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}[/tex]

m:n=3:2

[tex]3.6=\frac{3x_2+2(-6)}{3+2} , -0.4=\frac{3y_2+2(5)}{3+2}3.6 \times 5 = 3x_2-12, -0.4 \times 5 = 3y_2+10\\18+12=3x_2 , -2=3y_2+10\\30=3x_2 , -12=3y_2\\10=x_2, -4=y_2\\[/tex]

Coordinates of B = (10,-4)

2)If point D divides in the ratio 4 : 5, the coordinates of point D are ____

(fraction)

Let the coordinates of D be [tex](x,y)[/tex]

Coordinates of A =[tex](x_1,y_1)=(-6,5)[/tex]

Coordinates of B=[tex](x_2,y_2)=(10,-4)[/tex]

We will use section formula over here

[tex]x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}[/tex]

m:n=3:2

[tex]x=\frac{3(10)+2(-6)}{3+2} , y=\frac{3(-4)+2(5)}{3+2}\\x=3.6,y=-0.4[/tex]

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

Answer:

B is (10, -4), and D is (58/9, -2)

Step-by-step explanation:

Answer:

Are there other numbers? Other than he bought 8 eggs?

Step-by-step explanation:

Answer:

∠AOB = 101°

Step-by-step explanation:

Given:

AD is the angle bisector of ∠A

BE is the angle bisector of ∠B.

∠A = 125°

∠B = 33°

Find:

∠AOB

Computation:

∠BAO = 125° / 2 = 62.5°

∠ABO = 33°/2 = 16.5°

So,

∠AOB + ∠BAO + ∠ABO = 180°

∠AOB + 62.5° + 16.5° = 180°

∠AOB = 101°

Answer:

x≤-6

Step-by-step explanation:

-4x+2≥ 26

Subtract 2 from each side

-4x+2-2 ≥ 26 -2

-4x ≥ 24

Divide by -4 remembering to flip the inequality

-4x/-4 ≤-24/-4

x≤-6

Answer:

B. x ≤ -6

Step-by-step explanation:

-4x + 2 ≥ 26

Subtract 2 on both sides.

-4x ≥ 26 - 2

-4x ≥ 24

Divide -4 on both sides.

x ≤ 24/-4

x ≤ -6

Step-by-step explanation:

6/9 divide top and bottom by 3 to get 2/3

Now reduce each of the fractions to the lowest terms, and look for one that gives 2/3.

12/8 = 3/2  (divide by 4 top and bottom)

8/12 = 2/3  (divide by 4 top and bottom)  This is a solution

10/12 = 5/6 (divide by 2 top and bottom)

8/13 (cannot be reduced)

Therefore the second fraction (8/12) forms a proportion with 6/9.

Answer:

8/12

Step-by-step explanation:

divide through by 2 6/9 = 2/3

also,

divide through by 4

8/12 = 2/3

6/9 = 8/12

Answer:

The Radius of the base, r, and the altitude h

Step-by-step explanation:

Surface area of a right cone

[tex]a=\pi r\sqrt{h^{2}+r^{2} }[/tex]

R= Radius

H=Radius

Answer:

The radius of the base, r, and the slant height s.

Step-by-step explanation:

pf

Answer:

-1/7

Step-by-step explanation:

-5/7 × 1/5

Multiply numerator with numerator and denominator with denominator.

-5/35

Simplify.

-1/7

Answer:

Brainliest1

Step-by-step explanation:

-5/7 x 1/5 = -5/35 = -1/7

Answer:

C. Undefined

Step-by-step explanation:

Any vertical line is going to have an undefined slope. Plug in any two points from that line, and the formula will give you an undefined number.

Hope this helps!

Answer:

-47 > 1 - 8x > -63

-48 > -8x > -64 (subtract 1 from -47 and -63)

6 < x < 8 (divide inequality by -8; when you multiply/divide by a negative number you need to flip the sign)

Answer:

its wrong because when u moved the 8 to other side it would be positive. And u didnt switch sign for the 6

Step-by-step explanation:

-47 > 1-8x > -63

Seperate them into two inequalities

-47> 1-8x                                                    

Move 1 to the other side it will become -1

-47-1>-8x

-48>-8x

Divide -8 on both sides which will make the sign opposite because dividing with a negative number

6<x

1-8x>-63

Subtract 1 on both sides

-8x>-64

Divide -8 on both sides which will switch sign

x<8

Answer:

Yes

Step-by-step explanation:

Answer:

Option b.

Step-by-step explanation:

If the starting value a, the growth factor b, and the growth rate r, then

[tex]Q=ab^t=a(1+r)^t[/tex]        ...(1)

It is given that

[tex]Q=1750(1.593)^t[/tex]        ...(2)

On comparing (1) and (2), we get

[tex]a=1750, b=1.593[/tex]

Now, equation (2) can be rewritten as

[tex]Q=1750(1+0.593)^t[/tex]        ...(3)

On comparing (1) and (2), we get

[tex]r=0.593[/tex]

[tex]r=(0.593\times 100)\%[/tex]

[tex]r=59.3\%[/tex]

Therefore, the correct option is b.

Answer:

Step-by-step explanation:

the division expression equivalent to  4 1/3  /  (-5/6) is

13/3  /  (-5/6)

The solution is A

4 1/3 is 13/3

4x3= 12 + 1 = 13 which is 13/3

Answer:

14.4 cm

Step-by-step explanation:

Answer:

4√13

Step-by-step explanation:

Let's call the missing side length x

The given is a right triangle and in right triangle the square

length of hypotenuse is equal to square sum of other two side lengths

17^2 = 9^2 + x^2

289 = 81 + x^2 subtract 81 from both sides

208 = x^2

4√13 = x

Answer:

Y = 1/2x+2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

We know the slope

y = 1/2x +b

Substitute the point into the equation

0 = 1/2 (-4) +b

0 = -2+b

b=2

Y = 1/2x+2

x>2

The greatest possible value cannot be stated as it is not mentioned whether it is a right angled triangle, which is hypotenuse, or which is the smallest/largest side.

Answer:

49/6 < x < 41/2.

Step-by-step explanation:

In any triangle, each side is shorter than the sum of two other sides.

It gives three independent inequality

45 < 4x + (2x-4),   (1)

4x < 45 + (2x-4),   (2)

2x-4 < 45 + 4x.     (3)

From (1),  6x > 45 + 4 = 49    --->  x > 49/6

From (2),  2x < 45 - 4 = 41    --->  x < 4/2

From (3),  2x > -4 - 45 = -49  --->  x > -49/2

Answer:

12

Step-by-step explanation:

Ama's sister is 12 now and Ama is 8. 8/12 simplified is 2/3.

Four years ago Ama's would have been 4 and her sister would have been 8. 4/8 simplified is 1/2.

The equations:

(Ama is a)

(Ama's sister is s)

a = (2/3)s

a - 4 = (1/2)(s - 4)

Step one:

You would substitute the first equation into the second equation to get

(2/3)s - 4 = (1/2)(s - 4)

Step two:

Multiply by 6 to get rid of the fractions to get

4s - 24 = 3(s - 4)

Step three:

Simplify to get

4s - 24 = 3s - 12

Step four:

Subtract 3s and add 24 to get

s = 12

Step five:

Input the s value into the first equation to get

a = (2/3)(12) = 8

If this helped please rate, thanks, and mark brainliest! Also, please comment if it's correct :)

Step-by-step explanation:

let ama's age be x

and ama's sister be y

according to question

3x=2y --------(1)

x-4=(y-4)/2 ---------(2)

after solving equation (1) and (2)

we get ama's age is 8 years and AMA'S SISTER AGE IS 12 years

Answer:

The car dealership has 252 sedans.

Step-by-step explanation:

Number of SUVs = 140

Ratio of SUVs to sedans = 5:9

Sum of ratios = 5+9 = 14

Total number of cars = 14/5 × 140 = 392

Number of sedans = 9/14 × 392 = 252

Answer:

1/12

Step-by-step explanation:

P( coin = heads) = number of heads / total = 1/2

P( cube = 5) = number of 5's / total =1/6

P( heads, 5) =1/2 * 1/6 = 1/12

The coin toss and the number cube roll are independent events.

This is because the result of the coin toss does

not affect the result of the number cube roll.

To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.

Since there is only one way to get heads when tossing a coin and there are 2 possible outcomes, tossing a heads or tails, the probability of getting heads is 1/2.

Since there is only one way to roll 5 on a number cube, there

is 1 favorable outcome but six possible outcomes.

So the probability of rolling a 5 is 1/6.

Now multiply.

So we have 1/2 · 1/6 which is 1/12.

Answer:

A voltage of 760V will be produced by 19 windings.

Step-by-step explanation:

Given the equation:

E = 40W

Where E is the Voltage in the circuits

and W is the number of windings

Given that E = 760V

To find: W = ?

Solution: Here, we have the given equation in 2 variables where value of 1 variable is given so other can be easily calculated by putting the value of given variable in the equation.

So, Putting the value of E in the given formula and finding W, the number of windings:

[tex]760=40 \times W\\\Rightarrow W = \dfrac{760}{40}\\\Rightarrow W = \dfrac{76}{4}\\\Rightarrow W = 19[/tex]

So, number of windings for a voltage E = 760V is 19.

A voltage of 760V will be produced by 19 windings.

Answer: The correct answer is c.

Step-by-step explanation:

You take the area of the square which is 20x20 = 400.

There is 5 squares 400x5 = 2000

There is 4 triangles--which is 1/2 the area of 1 square (In this case).

One triangle = 200

200x4 = 800

2000 + 800 = 2800

Answer:

solution,

In a parallelogram, diagonal bisects angle into two equal parts. So,

<TVU=<TVW

or, 5x=50

or, X=50/5

X=10

Hope this helps..

Good luck on your assignment.

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

WVT angle = UTV angle (alternative angles)

[tex]80 + 5x + 50 =1 80 \\ 130 + 5x = 180 \\ 5 x = 180 - 130 \\ 5x = 50 \\ \frac{5x}{5} = \frac{50}{5} \\ x = 10[/tex]

Answer:

there were 22 folders originally

Michaela originally has 27 folders. Hence option D) is correct.

Michaela has three times  as many folders as Alejandro.
Michaela gives Alejandro 5 folders, but still has 8 more than Alejandro.

In mathematics it deals with numbers of operations according to the statements.

Now, let Alejandro has x folders corresponding Michaela has 3x folders
According to the condition
3x-5 =  x+5+8

2x = 18
x = 9
now
Michaela = 3x
= 3 x 9
= 27

Thus, Michaela originally has 27 folders.

Learn more about arithmetic here:

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Answer:

no solutions

Step-by-step explanation:

x-y=6

y=x-4

Subtract x from each side

-x+y = x-4-x

-x+y = -4

Add this to the first equation

x-y=6

-x+y = -4

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

0x + 0y = 2

0=2

This is never true so there are no solutions

Answer:

No solutions.

Step-by-step explanation:

x - y = 6

y = x - 4

Solve for x in the first equation.

x = 6 + y

Put x as 6 + y in the second equation and solve.

y = (6 + y) - 4

y - y = 6 - 4

0 = -2

There are no solutions.

Step-by-step explanation:

3x + 14y = 203

2. 11x + 11y = 220

3. Divide the last equation above by 11: x + y = 20

4. This is the same as saying x = 20 - y

5. Now, substitute for x in the first equation: 3(20 - y) + 14y = 203

6. The above equation simplifies to 60 - 3y + 14y = 203

7. Now express the equation in terms of y: 11y = 143

8. From the last equation, y = 13

9. Since x + y = 20, x = 7

10. Check: (3 times 7) + (14 times 13) = 21 + 182 = 203;

(11 times 7) + (11 times 13) = 77 + 143 = 220

One small box of oranges costs is $[tex]7[/tex].

One Large box of oranges costs is $[tex]13[/tex].

Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a given service. A cost price includes all outlays that are required for production, including property costs, materials, power, research and development, testing, worker wages, and anything else that must be paid for.

Tom sold 3 small boxes and 14 large boxes of orange for a total of $[tex]203[/tex]

[tex]\Rightarrow 3S+14L=203......(1)[/tex]

Jerry sold [tex]11[/tex] small boxes and [tex]11[/tex] large boxes of oranges for a total of $[tex]220[/tex]

[tex]\Rightarrow 11S+11L=220.....\left ( 2 \right )[/tex]

Solving equations (1) and (2), we get;

[tex]L=\frac{1573}{121}=13 \\ L=13[/tex]

Substitute [tex]L=13[/tex] in equation (2)

[tex]\Rightarrow 11S+11(13)=220[/tex]

[tex]S=\frac{77}{11}=7[/tex]

[tex]\therefore[/tex] One small box of oranges costs is $[tex]7[/tex].

One Large box of oranges costs is $[tex]13[/tex].

Learn more about Cost Price: https://brainly.com/question/12252562