The material needed to make the skin of a basketball costs $71.62 / m2. A standard basketball has a diameter of 24 cm. To the nearest dollar, how much does a basketball cost to make?

Answer:

(B)The GCF of the numbers(28 and 36) in each term in the expression is 4.

(C)The GCF of the variables(a and ab) in each term in the expression is a.

(E)The factored form of the expression is 4a(7+9b)

Step-by-step explanation:

Given the expression: [tex]28a+36ab[/tex]

If we write it as a product, we obtain:

[tex]28a+36ab=4a(7+9b)[/tex]

We can see the following

The correct options are B, C, and E.

Answer:

b c e

Step-by-step explanation:

hope dis helps baes

Answer:

1.25 : 1

0.25 : 1

Step-by-step explanation:

Ratios are basically fractions and proportions

10 : 8 is equal to 10/8 or 1.25/1, so 1.25 : 1

5 : 20 is equal to 5/20 or 0.25/1, so 0.25 : 1

Answer:

Step-by-step explanation:

Lets assume that x (First city) and x-500 (Second City)

[tex]x.\frac{3}{100} +(x-500)\frac{7.5}{100} =487.5\\\\\frac{3x+7.5x-3750}{100}=487.5\\ 10.5x=48750+3750\\10.5x=52500\\x=5000 (first city)\\5000-500(second city)\\[/tex]

You can ask me ıf you don't understand

Answer & Step-by-step explanation:

[tex]\frac{-t-5}{3}=\frac{t-3}{5}[/tex]

Cross multiply.

[tex]-5t-25=3t-9[/tex]

Subtract -3 on both sides.

[tex]-8t-25=-9[/tex]

Add 25 on both sides.

[tex]-8t=16[/tex]

Divide -8 on both sides.

[tex]t=-2[/tex]

Answer:

c

Step-by-step explanation:

Answer:the answer is 90

Step-by-step explanation:

Answer:

The probability that he doesn’t win is 6/(n + 6)

Step-by-step explanation:

Mathematically, the probability that an event occur is 1 minus the probability that the event doe not occur.

Thus, what we are saying here is that the sum of the probabilities that Paul wins the raffle draw and he doesn’t win the raffle draw is 1

This can be mathematically expressed as;

probability that he doesn’t win = 1 - probability that he wins

Thus we have;

1- n/(n+ 6)

= [(n+ 6) -(n)]/(n+6) = 6/n+ 6

Answer:

-$0.67

Step-by-step explanation:

If you buy one ticket, the possible outcomes are:

100% chance of spending $1 (buying the ticket)

1 in 5,000 chance of winning $500

3 in 5,000 chance of winning $300

5 in 5,000 chance of winning $30

20 in 5,000 chance of winning $5.

The expected value of the raffle is determined by:

[tex]E(X)=-1+\frac{1}{5,000}*500+\frac{3}{5,000}*300+\frac{5}{5,000}*30+\frac{20}{5,000}*5\\E(X)=-\$0.67[/tex]

The expected value of this raffle if you buy 1 ticket is -$0.67.

Answer:

solution,

<3+<4=180°( linear pair)----> equation (i)

<4+<5=180°( linear pair)------>equation (ii)

From equation (i) and (ii)

<3+<4=<4+<5

<3=<5 (vertically opposite angles)

hope this helps...

Good luck on your assignment

Step-by-step explanation:

(-4) x (-4) (-4)= the answer is -1

Answer: perpendicular

Answer:

perpendicular

Step-by-step explanation:

If two lines meet at a right angle they are said to be perpendicular to each other.

Two lines are perpendicular when they intersect at a right angle.

Hey there! :)

Answer:

arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)

Step-by-step explanation:

Begin by finding the circumference of the circle. Use the formula:

C = 2rπ

C = 2(9)π

C = 18π.

Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:

[tex]\frac{50}{360} = \frac{x}{18\pi }[/tex]

Cross multiply:

50 · 18π = 360x

900π = 360x

Divide both sides by 360:

x = 2.5π in, or ≈7.85 in.

Answer:

36

Step-by-step explanation:

x+5=y x - Sue age and y - Bill age

x+y=67

---------

x+x+5=67

2x=62

x=31 - Sue age

---------

y=31+5

y=36 - Bill age

Answer:

Bill is 36 years old

Step-by-step explanation:

Let Bill's age be "B" and Sue's age be "S"

Given that Bill is 5 years older than Sue, we can reason that the difference between Bill's and Sue's age must be 5 years, or:

B - S = 5     -----(eq 1)

We are also given that the sum of their ages is 67, or:

B + S = 67 -----(eq 2)

We can solve this system of equations via elimination (by adding the two equations).

(eq 1 ) + (eq2)

(B - S) + (B + S) = 5 + 67

2B = 72

B = 72/2

B = 36 years old

Answer:

-5

Step-by-step explanation:

the slope is -5

Answer:

-5

Step-by-step explanation:

The slope formula used is y=mx+b where m is the slope and b is the y-intercept.

In this case, -2/3 is the y-intercept and -5 is the slope.

Answer:

=

Step-by-step explanation:

1.42 is equal to 1.420. The 0 adds no value since it is after the decimal point so 1.420 is just 1.42, which is equal to itself, 1.42.

Answer:

=

Step-by-step explanation:

When you are looking at decimals, specifically on the right side of the decimal point, the amount of 0's after the last given non-0 digit can be disregarded.

1.420 is the same as 1.42

With this given information:

1.42 ____ 1.420

1.42 ____ 1.42

1.42 = 1.42

= would be your sign.

~

Answer:

3^x + 12x -4

Step-by-step explanation:

f(x) = 3^x + 10x

g(x) = 2x - 4,

(f + g)(x) = 3^x + 10x +  2x - 4

Combine like terms

             = 3^x + 12x -4

Answer:

(f + g)(x)= 3^x +12x -4

Step-by-step explanation:

To find (f+g)(x), we must add f(x) and g(x).

(f + g)(x)= f(x) + g(x)

We know that f(x)= 3^x + 10x and g(x)= 2x-4

Therefore, we can substitute these into the equation.

(f + g)(x)= (3^x+10x) + (2x-4)

Combine like terms. Add all the terms with an x.

(f + g)(x)= 3^x + (10x+2x) -4

(f + g)(x)= 3^x +12x -4

(f + g)(x) is 3^x +12x -4

Answer:

b

Step-by-step explanation:

-141 is larger than -143 and -145

Answer:

1) x = 71°, 2) x = 27°, 3) x= 32°

Step-by-step explanation:

1) Rectangle ABCD.

∠D = 90°

From ΔABE.

∠EAB +∠ABE + ∠BEA = 180°

45 + 90 +∠BEA = 180

∠BEA = 45

∠BEA + ∠AED +∠DEC = 180 °, because ∠BEC is a straight angle

45 + x + 64 = 180

x = 71°

2) Δ XYZ  is equilateral, all angles = 60°.

∠YZX = 60°.

∠YZW = 180°, because it is a straight angle.

∠YZX + ∠XZW= 180

60 +  ∠XZW= 180

∠XZW = 120.

From ΔXZW

∠ZXW + ∠XWZ + WZX = 180

x + 33 + 120 = 180

x = 27°

3) In ΔPQR,

PQ =  PR, so ∠PQR = ∠PRQ = 69°

∠PRQ + ∠PRS = 180, because ∠QRS = 180° as straight angle.

∠PRQ + ∠PRS = 180

69 + ∠PRS = 180

∠PRS  = 111°.

From ΔPRS

∠PRS  + ∠RSP + ∠SPR = 180

111 + 37 + ∠SPR = 180

111 + 37 + x= 180

x = 32

Answer:

Slope  = -3

Step-by-step explanation:

(3 , 5)   ; (4, 2)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-5}{4-3}\\\\=\frac{-3}{1}\\\\=-3[/tex]

Answer:

by game 3(at 1:00 p.m.)

temperature increases to 5 degrees at 1:00 p.m

Answer:

[tex]\mathrm{D.} \: (\frac{5}{4} )^{\frac{7}{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{(\frac{5}{4})^7 }[/tex]

Apply rule : [tex]\sqrt{a} =a^{\frac{1}{2} }[/tex]

[tex]((\frac{5}{4})^7 )^{\frac{1}{2} }[/tex]

Apply rule : [tex](a^b)^c=a^{bc}[/tex]

[tex](\frac{5}{4} )^{7 \times \frac{1}{2} }[/tex]

[tex](\frac{5}{4} )^{\frac{7}{2}[/tex]

Answer:

7:45

Step-by-step explanation:

2 hours and 15 minutes can also be written as

2:15

if the movie takes 2:15 long and begins at 5:30, add both which is. 5:30+2:15

=7:45

therefore the movie ended at 7 hours and 30 minutes which can also be written as7:45

Answer:

Clean price is $3,977.22

Dirty price = $4110.99

Step-by-step explanation:

We proceed as follows;

Semiannual coupon payments = $3000* 12%/2 = 6% * 3,000 = 6/100 * 3,000 = $180

Coupons are paid on 1st June and 1st December every year(semi-annually means twice a year, every 6 months)

No. of payments remaining = 11 (1 payment in 2020 on 1st December,2020 and 2 in each of the following 5 years)

Semiannual Yield = 6%/2 =3%

The clean price of the bond is given by

P = 180/1.03+ 180/1.03^2+.....+180/1.03^11+ 3200/1.03^11

=180/0.03*(1-1/1.03^11)+3200/1.03^11

=$3977.22

Dirty price = clean price +accrued interest

Accrued Interest = Interest from 1st June , 2020 to 1st December,2020

= no of days from 1st June to 15th October/no of days from 1st June to 1st December * $180

= 136/183*$180

=$133.77

So, Dirty price = $3977.22+$133.22 = $4110.99

Answer:

0.08

Step-by-step explanation:

The probability that the bus is late on any day is 0.2

The probability that it rains tomorrow is 0.4

The probability that it will rain tomorrow and the bus is late is the product of both individuals probabilities.

Therefore:

P(late & rains) = 0.2 * 0.4 = 0.08

Answer:

The probability that it rains and the bus is late is 1/7

Step-by-step explanation:

Practically, we can apply the Bayes’ theorem to solve this.

Mathematically, we use the Bayes’ problem as follows;

P( rain| late) = P(rain ^ late)/P(late) = P( late|rain) • P(rain)/[P(late|rain)P(rain) + P(not late|no rain)P(no rain)]

Where P(no rain) = 1-P(rain) = 1-0.4 = 0.6

P(on time) = 1-P(late) = 1-0.2 = 0.8

Kindly recall that P of raining = 0.4 and the probability that the bus is late is 0.2

Substituting these values into the Bayes’ equation above, we have;

P( rain| late) = (0.2)(0.4)/(0.2)(0.4) + (0.8)(0.6)

= 0.08/(0.08 + 0.48) = 0.08/0.56 = 1/7

Answer:

Similarity:

In Both cosine and sine graphs, a positive and negative number vertically flips the graph and tells whether the graph starts at maximum (positive) or minimum (negative).

Difference:

The difference between the sine and the cosine graph is the point where they start.

The graph of positive cosine starts at the maximum while that of the negative cosine starts at the minimum.

The graph of a positive sine starts at the middle, goes up and then down while that of the negative sine starts at the middle goes down and then up.

Answer:

it is a function because it doesn't have two x coordinates at the same y coordinate.

Answer:

$2388.95

Step-by-step explanation:

The worth of a compound deposit after a period of n years is calculated using the formula:

[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]

[tex]A(2)=2250(1+\frac{0.03}{12})^{12 \times 2}\\\\=2250(1+0.0025)^{24}\\=2250(1.0025)^{24}\\=\$2388.95[/tex]

At maturity, the deposit will be worth $2388.95.

Answer:

$648.00

Step-by-step explanation:

==>Given:

Squared living room of 9m by 9m

Cost of purple carpet per m² = $8.00

==>Required:

Cost of buying carpet to cover the squared living room

==>Solution:

Find the area of the room:

Area of squared room = 9m × 9m = 81m²

Find cost of purple carpet that would cover 81m²:

Let x be the cost of carpet required to cover the room.

Thus,

1m² = $8.00

81m² = x

cross multiply

1*x = 8.00*81

x = 648

Cost of purple carpet to cover the living room = x = $648.00

Answer:

[tex] \frac{3a}{a-2} [/tex]

Step-by-step explanation:

[tex] \frac{2a - 7}{a}*\frac{3a^2}{2a^2 - 11a + 14} [/tex]

Factorise [tex] 2a^2 - 11a + 14} [/tex]

[tex]\frac{2a - 7}{a}*\frac{3a^2}{(2a - 7)(a - 2)}[/tex]

[tex] 2a - 7 [/tex] cancels  2a - 7

[tex] \frac{1}{a}*\frac{3a^2}{(1))(a - 2)} [/tex]

[tex] \frac{1(3a^2)}{a(a-2)} [/tex]

[tex] \frac{a(3a)}{a(a-2)} [/tex]

"a" cancels "a"

[tex] \frac{3a}{a-2} [/tex]

Thus,

[tex] \frac{2a - 7}{a}*\frac{3a^2}{2a^2 - 11a + 14} [/tex] = [tex] \frac{3a}{a-2} [/tex]

Answer:

T1=0

T2=2

T3=6

T4=12

T50=2450

59 is not a term in the sequence

Step-by-step explanation:

Tn=n(n-1)

182=n2 - n

0=n2 - n - 182

0=n2-14n+13n-182

0=n(n-14)+13(n-14)

0=(n-14) (n+13)

Since n cannot be negative n is not equal to -13

Therefore,

n=14

Answer:

9/4

Step-by-step explanation:

Using the slope formula

m = (y2-y1)/(x2-x1)

    = (1--8)/( 4-0)

    = (1+8)/4

    = 9/4