You can buy 3 apples at the City Market for $1.20. You can buy 5 of the same apples at Shop and Save for $2.10. Which place is the better buy?

Given : ABCD is a square with each side 5cm .

To Find : The area of the shaded region .

Solution : On observing the figure we can see two quadrants , quadrant ADC & quadrant ABC .

If we join A to C , then it will be common for triangles ADC & ABC . And they will be congruent by SSS congruence condition.

Therefore the area of both quadrants will also be equal . Now we can find area of quadrant as ;

[tex]\large\boxed{\red{\bf Area_{quadrant}=\dfrac{\pi r^2}{4}}}[/tex]

Here radius will be equal to 5cm .

⇒ Area = πr² / 4 .

⇒ Area = π (5cm)² / 4 .

⇒ Area = 22/7 × 25 × 4 cm².

⇒ Area = 19.64 cm² .

So , total area of both quadrants = 39.28 cm² .

Also , area of square will be :

[tex]\large\boxed{\bf{\red{Area_{square}=(side)^2}}}[/tex]

⇒ Area = 5cm × 5cm .

⇒ Area = 25 cm².

Now , subtract area of one quadrant from the area of square = 25cm² - 19.64 cm² = 5.36 cm².

Similarly area of other white region = 5.36cm² .

And the areas sum will be = 5.36cm² × 2 = 10.72cm² .

Now , from the figure it's clear that ,

⇒ Area of unshaded region + Area of shaded region = 25cm².

⇒ 10.72cm² + ar( Shaded region ) = 25cm².

⇒ ar ( Shaded region ) = 25cm² - 10.72cm².

⇒ ar ( Shaded region ) = 14.28 cm².

Hence the area of shaded region is 14.28 cm².

[tex]\large\boxed{\red{\bf Answer = 14.28cm^2}}[/tex]

Answer:

It would be C

Step-by-step explanation:

Answer:

0.982

Step-by-step explanation:

Given that:

Mean (μ) = 2325

Standard deviation (σ) = 270

From the central limit theorem ; the Distribution of 50 sample means will be normally distributed

Finding the mean to be at least $2245 per month;

x = 2245

Using the Z score relation :

Zscore = (x - μ) / (σ/√n)

Zscore = (2245 - 2325) / (270/√50)

Zscore = - 80 / 38.183766

ZSCORE = - 2.0951312

= - 2.1

P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).

Answer:

5 is in the hundreths place :))

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.

Answer:

8/100 is equivalent to 0.08

Answer:

?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Homework Weekend Create a short story.

Answer:

0.0806

Step-by-step explanation:

From the given information:

Number of toss = 50

The probability of having a head = 1/2 = 0.5

The Probability of 8th head occur on 12th toss can be computed as :

Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)

Pr(8th head occur on 12th toss) =  C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5

Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5

Pr(8th head occur on 12th toss) =  0.0806

Answer:

The probability of 8th heads,

That is occurred on 12th toss.

Step-by-step explanation:

A coin is tossed 50 times.

There are two possible outcomes of occurring a head or tail.

Probability of occurring head = no.of head/ possible outcomes

                                                    = 1/2

Total number of tossing a coin= 50 times

Probability of 8th heads occurs on 12th toss:

                                                         12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12

                                 =         12C8  (1/2)8+9+10+11+12

                                                    = 12C8  (1/2)50

                                  = 12C8   / 250

                                                       = 495 / 1125899906842624

                                  = 4396.48317752 x 10-16

This is the probability of 8th heads,

That is occurred on 12th toss.

Answer:

7/6 cups of water is the mug's capacity

Step-by-step explanation:

Capacity refers to how much a container can contain.

Let x be the capacity of the mug.

According to the question, the mug is 3/7 full. This means that the mug contains 3/7 × x = 3x/7 of water.

It was further stated that the mug contains 1/2cup of water. This means that:

1/2 cup of water = 3x/7 of water in the mug

Hence;

1/2 = 3x/7

3x × 2 = 7 × 1

6x = 7

x = 7/6

Therefore, the capacity of that mug is 7/6 cups of water.

The capacity of the the mug if it is 3/7 full and contains 1/2 cup of water is 7/6 cup

Given:

let

Water in the mug = 3/7 of x

= 3/7x

Note:

Water in the mug = 1/2 cup

So,

3/7x = 1/2

x = 1/2 ÷ 3/7

= 1/2 × 7/3

= 7/6

Therefore, the full capacity of the mug is 7/6 cup

Learn more about fraction:

https://brainly.com/question/2929160

Answer: 1.2

Step-by-step explanation:

first multiply 5 by 7 to get 35, and 5 by 4x to get 20x. Then add negative 7 to 35 and we have 28 subtract 28 from both sides getting 20x=20, so x is 1

Answer:

B. P(B/A)=P(B)

100% = $420,000

3.5% = 3.5/100 × 420,000

= $ 14,700

Commission he earned = $14,700

Annual total earnings= $50,000 + $14,700

= $ 64,700

Answer:

14,500

Step-by-step explanation:

Answer:

(22,0)

Step-by-step explanation:

22 0

35 -15

48 -30

61 -45

74 -60

Answer:

y= (0, .7)

x= (-1.2, 0)

Step-by-step explanation:

r u taking a test?

Answer:

Step-by-step explanation:

Answer:

f(4)= -10

If g(x) =2, then x=0

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

1.5 x 0.1 = 0.15

0.15 inches

Dont know if this is for sure right. Hope it is.

Answer:15x+35=110

Step-by-step explanation:

Answer:

81 Cups of Pretzels and 40.5 Cups of M&M's

Step-by-step explanation:

p= Pretzels

m= M&M;s

3p+1.5m= 1

3(27)+ 1.5(27)

81 + 40.5

Answer:

6,4,3

Step-by-step explanation:

A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything

Answer:

6,4,3, and -6

Step-by-step explanation:

These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.

Answer:

1. 14.91

2. 173.48

3.100.86

Step-by-step explanation:

all the answers are rounded to the nearest hundredth place, i believe.

Answer:

There are 7 ten-dollar bills and 16 five-dollar bills.

Step-by-step explanation:

Let's call:

T: Number of ten-dollar bills

F: Number of five-dollar bills

The amount of money withdrawn from the ATM is $150:

10T+5F=150

Dividing by 5:

[tex]2T+F=30\qquad\qquad [1][/tex]

We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:

[tex]F=2+2T\qquad\qquad [2][/tex]

Substituting [2] into [1]:

2T+2T+2=30

Rearranging:

2T+2T=30-2

Simplifying:

4T=28

Solving:

T=28/4=7

From [2]:

F=2+2*7=2+14=16

There are 7 ten-dollar bills and 16 five-dollar bills.

Answer:

Step-by-step explanation:

let Emma age be x now

Let Joseph age be y now

If Emma is 10 years younger than Joseph, then x = y-10

six years from now:

Emma will be x+6 years

Joseph will be y+6 years

If Joseph's age 6 years from  now will exceed twice Emma's age 2 years ago by 3 years, then:

y+6 = 2(x+6-2) + 3

y+6 = 2(x+4)+3

y + 6 = 2x+11

y + 6 = 2(y-10)+!1

y + 6 = 2y-20+11

y - 2y = -9-6

-y = -15

y = 15

Since x = y -10

x = 15-10

x = 5

Hence Emma is 5years old now and Joseph is 15years old now

Answer:

600 ×1200=720,000

720,000×12=8,640,000

8,640,000×1%=8,640,000÷100%=86,400

86,400 per year

Answer:

She needs 12 cups of flour to make bread

Step-by-step explanation:

9 divided by 3 is 3. So you add 3 to 9 and you get 12. So yeah!

Answer:

-(x+8)

Step-by-step explanation:

-x - 8

-1 *x -1 * 8

Factor out a -1

-1(x+8)

-(x+8)

Answer:

Step-by-step explanation:

[tex] - x - 8[/tex]

Factor out common term : -1

[tex] - 1(x + 8)[/tex]

Answer:

X=6 3/4

Step-by-step explanation:

IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS

Answer:

0.0008032

Step-by-step explanation:

Hope this helps!

Answer:

80,320

Step-by-step explanation: