A certain bag of potting soil is 1/4 peat moss, and the rest is dirt. What part is dirt?
1/4
А
B
3/8
3/4
D
7/8
E
1-1/4

Answer:

35.06

Step-by-step explanation:

So you  have to multiply 27.50 by 0.075 to find the sales tax.

2.0625 ≈ 2.06

If the tip is off the original price, you multiply 27.50 by 0.2.

5.5

The whole meal is 27.50 + 5.50 + 2.06 = 35.06

Total cost of meal is $35.06.

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that,

The bill amount = $27.50

tax amount = 7.5%

tip amount = 20%

Now 7.5 % of bill amount

=  27.50x 7.5/100

=  27.50 x 0.075

=2.0625

≈ 2.06

Now 20% of bill amount is

= 27.50 x 20/100

= 27.50x0.2

= 5.5

Now,

The total cost

=  27.50 + 5.50 + 2.06

= 35.06

Hence $35.06 is the total cost.

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Answer:

The modal is 6 and the median is 6

Step-by-step explanation:

Answer:

Step-by-step explanation: since ab||ef, line cd is a transversal

x+35°=85° (alternate interior angles)

x=85-35

x= 50°

taking bd as a transversal

y= 35° (alternate interior angles)

taking bz as a transversal

y+z+40°= 180° (interior angles on the same side of the transversal)

z+35°+40°= 180°

z+75°= 180°

z= 180-75

z= 105°

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Answer:

x = 50 degree found by working out c and d

y = 35 degree

z = 105 degree

Step-by-step explanation:

c is solved 180-85 = 95 as all straight lines equal (180)

d is solved 85-35 = 50 as it is alternate of c (85)

x is found  85 - 35 = 50 degree as it is part of d and not supplementary

y is found  180-95 = 85 then 85-50 = 35 as angles are adjacent and add up to 180 degree.

z is found 180-75 = 105 as angles are adjacent and add upto 180 degree but z is also alternate to missing c angle

The equation of a straight line with gradient m passing through the origin is:

[tex]\displaystyle y=mx[/tex]

The line passes through the origin, so the y-intercept is [tex]0[/tex]

[tex]\displaystyle y=mx+b[/tex]

[tex]\displaystyle y=mx+0[/tex]

[tex]\displaystyle y=mx[/tex]

Answer:

Yes

Step-by-step explanation:

the triangle is scalene because all of the side lengths have different measurements

_______________________________

Yes, it is a scalene triangle.

We can say it is a scalene triangle because none of the sides are equal in the given figure.

Hope it helps..

Good luck on your assignment

____________________________

Answer:

A: 10.8

Step-by-step explanation:

AD = BC

AB = DC

2AD + 2AB

AD = ±[tex]\sqrt{3^2+1^2}[/tex] ≈ ±3.1622

AD ≈ 3.1622

AB = ±[tex]\sqrt{2^2+1^2}[/tex] ≈ ±2.236

AB ≈ 2.236

2AD + 2AB = 2*3.1622 + 2*2.236 ≈ 10.79 ≈ 10.8

Answer:

One end of the ladder rests at 8 feet on the wall.

Step-by-step explanation:

In the figure attached,

AC is a ladder 10 feet long leaning against the wall.

Distance of it's one end from the wall = 6 feet

Let the ladder rests on the wall at the height = h feet

By applying Pythagoras theorem in ΔABC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

AC² = AB² + BC²

(10)² = h² + 6²

h² = 100 - 36

h = √64

h = 8 feet

Therefore, one end of the ladder rests at 8 feet on the wall.

Answer:

$13.06

Step-by-step explanation:

There are five people so 65.30/5 = 13.06

Answer: x=10, x=-20

Step-by-step explanation:

To find the zeros of the function, we will have to factor the function.

k(x)=x²+10x-200

k(x)=(x-10)(x+20)

Now that we have factored the equation, we set the equation eaul to 0 to find the zeros.

0=(x-10)(x+20)

x-10=0

x=10

x+20=0

x=-20

Answer:

Solve the rational equation by combining expressions and isolating the variable

v

v

.

v

=

x

k

+

10

k

−

200

k

x

Step-by-step explanation:

Answer:

18 months

Step-by-step explanation:

20/100=0.2 Apr

0.2 multiply 1500=300

300+1500=1800 divide 100=18

18 months

Answer:9/16

Step-by-step explanation:

Since we know it's 3/4 use

r=(3/4)²  .... [tex](\frac{3}{4} x\frac{3}{4} )[/tex] =[tex]\frac{9}{16}[/tex]

Answer:

B.

Step-by-step explanation:

According to the graph the function is defined for all real number except -3 and 7 (where the two red dashed vertical lines cross the x-axis)

so our function should be :

[tex]\frac{1}{(x-(-3))(x-7)} =\frac{1}{(x+3)(x-7)}[/tex]

Answer:

132

Step-by-step explanation:

48 first hit and rises 24

24 second and rises 12

12 third hit and rises 6

6 forth hit

48+24+24+12+12+6+6= 132

After the 4th hit the total distance up and down covered by the ball will be 90 feet.

Why the ball is bouncing back less and less distance upward after every drop ?

Some of the kinetic energy of the ball has been transferred by the ball to the ground after each drop also when it is in the process of going upwards force of gravity is working on the opposite direction which is downwards.

There are other factors too ask your physics teacher if you are more curious.

According to the given question

First time it has been dropped from a height of 48 feet as at every bounce it bounces back half of it's value it will go up to 24 feet repeating this process of bouncing back for the fourth time

It will be (48 + 24 + 12 + 6) = 90 feet

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Answer: £18

Step-by-step explanation:

let Bridget get £x,

Stephen gets 3x, Richard gets 2(3x)

Equation is x + 3x + 6x = 60

10x = 60: x = 60/40 = 6

Bridget gets £6

Stephen gets 3x = 3 x 6 = £18

Richard gets 2(3x) = 2 x 18 = £36

____________________________________

Hey!!

Solution,

Diameter (d)=17 cm

Radius(r)=17/2=8.5 cm

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*3.14*8.5

=53.38 cm

The right answer is 53.4cm

Hope it helps

Good luck on your assignment

_________________________________

Answer: P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8

Answer:

24/49

Step-by-step explanation:

I took the quizz

Answer:

4 - (x - 3) =  - x + 7

Step-by-step explanation:

Answer:

a. -3x = -2y

When x=6, y=9

Step-by-step explanation:

From the hanger, There are two sides

If x=triangle and y=square

First side has 1 triangle and 3 squares

It can be represented by

x+3y

Second side has 4 triangles and 1 square

It can be represented by

4x+y

Equate the first and second side

x+3y=4x+y

Collect like terms

x+3y-4x-y=0

-3x+2y=0

-3x=-2y

Find y when x=6

-3(6)=-2y

-18=-2y

Divide both sides by -2

-18/-2=-2y/-2

9=y

y=9

The value of y when x = 6 is 9

Given that the weight of the triangle is x and the weight of the square is y.

For the hanger at the left, the resulting equation will be:

x + 3y (1 triangle and 3 square)

For the right-hand side

4x + y (4 triangles and 1 square)

Equating both expressions

x + 3y = 4x + y

x - 4x = -2y

-3x = -2y

3x = 2y

If x = 6, hence;

3(6) = 2y

2y = 18

y = 9

Hence the value of y when x = 6 is 9

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Answer:

x = 26 - 21 = 5

Answer:

x=5

Step-by-step explanation: Subtract 21 from both sides. x = 5.

Answer: 50

Step-by-step explanation:

180-80 = 100

100 divided by 2 = 50

X=50

Answer:

171 square ft

Step-by-step explanation:

Area of side walk of the pool = Are of outer square - Area of inner square

[tex] = {30}^{2} - {27}^{2} \\ = (30 + 27)(30 - 27) \\ = 57 \times 3 \\ = 171 \: {ft}^{2} [/tex]

Answer:

(40/3)*pi

Step-by-step explanation:

lets first find the area of the little circle

A=pi*r^2

A=pi*3^2

A=9pi

Now, lets find the area of the big circle

A=pi*r^2

A=pi*(3+4)^2

A=pi*7^2

A=49pi

now lets subtract the area of the little circle from the area of the big circle

49pi-9pi=40pi, now we found the area of the "bagel)

lets find what portion of the bagel is the shaded region

120/360=1/3

now lets multiply the bagel area by the fraction

40pi*(1/3)=

(40/3)*pi   or  (40*pi)/3

Area of the shaded regions is equal to 7π/3

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: radius of the smaller circle= 3 and larger circle =4 cm

Now A = (θ/360°) × πr2

θ is the sector angle subtended by the arcs at the center (in degrees), r is the radius of the circle. If the subtended angle θ is in radians, the area is given by, A = 1/2 × r² × θ.

Thus we have  Area ADBC= 1/2 × 16×2π/3 -1/2×9×2π/3

                                              =16π/3 -3π

                                               =7π/3

Hence, Area of the shaded regions is equal to 7π/3

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Answer:

Step-by-step explanation:

Cora uses 0.3 cups of flower per cake. Wyatt uses 0.35 cups of flower per cake. I do not know what else you are asking for, but Cora does use 0.05 less cups of flower than Wyatt.

To find this all I did is divided flower by cakes to get flower per cake. I hope this helps!    

Answer:

1/20 cups

Step-by-step explanation:

Wyatt

Cora:

The difference:

Answer:

5 dimes 2 nickels 10 quarters

Step-by-step explanation:

Let n = number of nickels

      d = number of dimes

      q = number of quarters

n = d - 3 (The number of nickles was 3 less than the number of dimes)

d= q - 5 (The number of dimes was 5 more than the number of quarters)

0.05n + 0.1d + 0.25q = 3.1

Use substitution:

n=q-8

0.05n + 0.1d + 0.25q = 3.1

0.05(q-8) + 0.1(q-5) + 0.25q = 3.1

0.05q-.4 + 0.1q -.5 +0.25q = 3.1

0.4q-0.9=3.1

0.4q=4

q = 10

n =q-8    n = 10-8     n=2

d=q - 5     d = 10-5     d = 5

Answer: Ratio's 3:5

Step-by-step explanation:

Ratio of last year 6:8 Now this year since she wants to only plant 3 rows of tomatoes there would be five rows of tomatoes cuz ur taking away three rows form each typa veggie so the new ratio is now 3:5

((Hope it Helps))

Answer:

its D

Step-by-step explanation:

Just did the test. Goodluck

Answer:

d

Step-by-step explanation:

Hey there! :)

Answer:

(b - 4)(b + 1)

Step-by-step explanation:

b² - 3b - 4

Factor by determining which numbers add up to -3 and multiply to equal -4.

-4 + 1 = -3

-4 × 1 = -4

Therefore, in factored form, the equation would be:

(b -4)(b + 1)

Answer:

well considering it is length it could be anything i think

if XZ= 45

then XY could also be 45

and then YZ would be 17

Answer:

Negation is the correct answer to the given question

Step-by-step explanation:

The main objective of Negation is to evaluated the inverse of a specified computational statement or the conditional statement. If the conditional statement is true then the negating statement is false or if the  conditional statement is false then the negating statement is True .The negation is represented by the symbol ~ .

For example :

F:      Number is 5.

~F:    Number is not 5.

Conditional statement         Negation(~)

True                                          False

False                                         True

All the other option are not determine the inverse of the conditional statement so these are incorrect option .