*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!

Evelyn wants to cover the top of a circular table with a price of cork board to protect it from spills. How much cork board will Evelyn need to completely cover the table if the diameter of the table is 48 inches?
Select ALL that apply. (possible answers on image)

Answer:

3

Step-by-step explanation:

These are similar triangle

We can use ratios to solve

12         12+4

------ = ----------

9         9+DC

Using cross products

12( 9+DC) = 9*(12+4)

12 (9+DC) = 9*16

Divide each side by 12

12/12 (9+DC) = 9*16/12

9+DC = 12

Subtract 9 from each side

9+DC-9 =12-9

DC =3

Answer:

3 units

Step-by-step explanation:

We can see that triangle ADE is similar to triangle ACB.

Therefore the ratios of the lengths of their sides must be equal.

We can write AD/AC = AE/AB

we are given AD = 9, AE = 12 and AB = 12 + 4 = 16

Substituting the above values into the equation:

AD/AC = AE/AB

9 / AC = 12/16  (rearranging)

(AC)(12) = (9)(16)

AC = (9)(16)/12

AC = 12

We can also see that

DC = AC - AD

DC = 12 - 9

DC = 3 units

Answer:

C(x) = 25 + 2x

Step-by-step explanation:

He already has 25 cards.

He is collecting 2 cards per month. In x months, he will have collected:

2 * x = 2x cards

That means that the number of cards he will have after x months will be the sum of the cards he already has and the cards he collects per month:

C(x) = 25 + 2x

Answer:

180 that boy is soo wrong

Step-by-step explanation:

*diagram of floor plan is attached below

Answer:

30m²

Step-by-step Explanation:

From the floor plan shown in the attached diagram, the hall way and the living room both takes the shape of a rectangle.

To find the total area of floor to be covered, we can use the formula of the area of a rectangle to find the area of the hall way + the area of the living room.

Area of rectangle = L*B

For the hall way, L = 3.2m, B = 1.5m

Area of hall way = 3.2*1.5 = 4.8m²

For the living room, L = 6m, B = 4.2m

Area of Living room = 6*4.2 = 25.2m²

Therefore, area of floor to be covered = 4.8m² + 25.2m² = 30m²

Answer:

30m²

Step-by-step explanation:

Answer:

x = [tex]\frac{t(a+p)}{4}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{4x}{t}[/tex] - p ( isolate term in x by adding p to both sides )

a + p = [tex]\frac{4x}{t}[/tex] ( multiply both sides by t )

t(a + p) = 4x ( divide both sides by 4 )

[tex]\frac{t(a+p)}{4}[/tex] = x

Answer:

14 and 10

Step-by-step explanation:

14x5=70

10x3=30

100=70+30

Answer:

Step-by-step explanation:

A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds

V = U + at

1.2u  = u  + a*10

=> a = 0.02u

S= ut + (1/2)at²

Distance in 1st 10 secs

S = u(10) + (1/2)(0.02)(10)²

=> S = 10u + u

=>  S = 11u  m

Constant speed 1.2u for 15 secs

S = 1.2u * 15

=> S = 18u m

Total Distance Covered d  = 11u + 18u = 29u  m

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(14)+(-11)=3

Answer:

1 gram is 0.035274 in ounces

Answer:

It would be about 0.035274

Step-by-step explanation:

For an approximate result, divide the mass value by 28.35

Hope this helps

Answer:

The polynomial is 10x^2 + 10x -2

Step-by-step explanation:

To get the polynomial which represents the perimeter, what we need to do is to add up all

these values. We use the formula for finding the perimeter of a triangle and that involves adding up all the three sides. That would be;

2x^2 + 3x + 5x^2 -1 + 3x^2 + 7x -1

10x^2 + 3x -1 + 7x -1

10x^2 + 10x -2

Answer:

14,850 ways

Step-by-step explanation:

Since the order does not matter, the number of possible committees is given by the product of the combination of picking 2 out of 10 faculty members and the combination of picking 4 out of 11 students:

[tex]n= \frac{10!}{(10-2)!2!}* \frac{11!}{(11-4)!4!}\\n=\frac{10*9}{2}*\frac{11*10*9*8}{4*3*2*1}\\n=14,850[/tex]

The committee can be formed in 14,850 ways

Answer:

5/7, 11/15, 23/31, 47/63

Step-by-step explanation:

any number you can write into a fraction between those numbers

Answer:

6564.696

Step-by-step explanation:

A=6,000×(1+0.046)^(2)

A=6,564.696

Answer:

it's A B D i don't know why the other person couldn't have just said that and make it look confusing

Answer:

A< B< D

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

22/11=2

Answer:

(f * g)(x) = 2(x²) + 4

Step-by-step explanation:

Explanation:-

let f(x) = 2 x, g(x) = x² + 2, and h(x) = 4 x +3

(f * g)(x)  = f(g(x)) = f(x² + 2)

                           = 2(x² + 2)

                           = 2(x²) + 4

final answer:-

(f * g)(x) = 2(x²) + 4

Answer:

True.

Step-by-step explanation:

The circumference is the perimeter of a circle. The complete path around the circle is called the circumference.

Answer:

True

The distance around the circle makes up the circumference.

Answer:

Option (D).

Step-by-step explanation:

Initial population of the deer [tex]P_{0}[/tex] = 4800

Decrease in the population of the deer after every 8 years = [tex]\frac{1}{2}\times (\text{Initial population})[/tex]

Decrease in population is an exponential process, so the expression representing population will be,

[tex]P_{t}=P_{0}(1-r)^x[/tex]

Where [tex]P_{t}[/tex] is the population after 'x' slots of 8 years.

r = fraction of decrease in the population

x = [tex]\frac{\text{Number of years}}{8}[/tex]

By substituting the values of r and x in the expression,

[tex]P_{t}=P_{0}(1-\frac{1}{2})^{\frac{t}{8}}[/tex]

[tex]P_{t}=4800(\frac{1}{2})^{\frac{t}{8}}[/tex]

Therefore, Sylvia should do few corrections in her expression.

(8) should be replaced by ([tex]\frac{1}{2}[/tex]) and [tex]\frac{t}{2}[/tex] should be replaced by [tex]\frac{t}{8}[/tex].

Option D. will be the answer.

Answer:

y = 13.9

Step-by-step explanation:

The triangle is a 30-60-90 triangle, so x is 16 (double 8). Use the pythagorean theorum to find y. 256 - 64 =192. [tex]\sqrt{192}[/tex] is about 13.9

Answer:

A (1,0), B (3,0) Q (2,-1) P(0,3)

Step-by-step explanation:

A(1,0) B (3,0) these are the roots of the current graph so the factors or the x-intercepts.

Q is the minimum so it is halfway between the x-intercepts

halfway = 3+1/2 , x=2

plug x=2 into the equation

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

y=  -1

therefore Q = (2,-1)

P is the y-intercpet when x=0, so plug x=0 into the equation

y=(0-1)(0-3) = 3

therefore Q =

(0,3)

Answer:

y< -1/3

Step-by-step explanation:

To solve the inequality, we must get the variable, y, by itself.

9y< -3

Perform the opposite of what is being done to the equation, to both sides.

y is being multiplied by 9. The opposite of multiplication is division. Therefore, divide both sides by 9.

9y/9 < -3/9

y< -3/9

-3/9 can be reduced. 3 can be divided evenly into both the numerator (top number) and denominator (bottom number).

y< (-3/3) / (9/3)

y< -1/3

Answer:

the answer is 9-4i

Step-by-step explanation:

multiply

Step-by-step explanation:

first minute = 24 wildebeest

by 20 min = (20 × 3) + 24 = 84 wildebeest

Answer: 5

Step-by-step explanation:

Answer:

Speed in km/hr = 518.4 km/hr

Step-by-step explanation:

Speed = 144 m/s

To convert m/s to km/her, you just need to multiply it by 3.6

Speed in km/hr = 144 × 3.6

Speed in km/hr = 518.4 km/hr

Answer:

518.40km/h

Step-by-step explanation:

144m/s

it means that in 1 sec it does 144m

we are searching how many km it does in 1 hour

1 hour = 60*60=3600 sec

so in 3600 sec (= 1 hour) it does 144*3600 m

and 1 km = 1 000m

so in 1 hour it does 144*3600/1000 = 144*3.6 = 518.40

the speed of the car is 518.40km/hr

hope this helps

Answer:

23

Step-by-step explanation:

j = jeans

s = shirt

j + 3s = 114

jeans = 45

45+ 3s = 114

Subtract 45 from each side

45-45+3s = 114-45

3s =69

Divide each side by 3

3s/3 =69/3

s = 23

Each shirt is 23

Answer:

b.) 23

Step-by-step explanation:

114-45=69

69/3=23

Answer:

68

ignore the rest of this i need 20 charecters

Answer:

68%

Step-by-step explanation:

Answer:

Length of DE = 7.5 units

Length of DB = 9.2 units

Measure of ∠FED = 82°

Step-by-step explanation:

In ΔABC,

AD ≅ BD and CE ≅ BE [Given]

By the theorem of mid-segments,

DE = [tex]\frac{1}{2}(AC)[/tex]

     = [tex]\frac{1}{2}(15)[/tex]

DE = 7.5 units

Since AD ≅ FE ≅ 9.2 [By midpoint theorem in ΔACB]

Therefore, length of DB = 9.2 units

[Although it's not given in the question, but we assume FE║AB]

Since FE║AB and DE is a transverse,

Therefore, m(∠FED) ≅ m(∠BDE) ≅ 82° [Interior alternate angles]

Answer:

You can't use this rule because the two exponents have different bases. In order to use this rule the two exponents must have the same base.

Answer:

It is because both expressions have different base value. For this question, the bases are 3 and 2 where the product rule cannot be applied. Product rule can only be used when both expressions have the same bases.

Answer:

Step-by-step explanation:

This right triangle is on a grid.

The area is the height * base/2

The base is on a line segment parallel to the x axis which is 6 squares.

The height is on a line segment parallel to the y axis which is 2 squares

The area is the height * base /2

Area = 6 * 2 /2 = 12/2 = 6 square units.