Item 6
Question 1
The box-and-whisker plot represents the numbers of gallons of water needed to fill different types of dunk tanks offered by a company.





a. What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.

About ___
of the dunk tanks require at least 500 gallons of water.

Answer:

$0.70 per ear of corn

Step-by-step explanation:

Let c = Ear of corn

Let b = pound of bananas

First shopper:

7c + 6b = $5.15

Second Shopper:

4c + 1b = $1.85

Solve one equation for b since you are solving for c:

4c + 1b = $1.85

b = $1.85 - 4c

Substitute into other equation:

7c + 6b = $5.15    <---  b = $1.85 - 4c

7c + 6 ($1.85 - 4c) = $5.15

7c + $11.1 - 24c = $5.15

-17c + $11.1 - $11.1 = $5.15 - $11.1

-17c /-17 = -$11.85 /-17

c = $0.70 per ear of corn

Leave a like and mark brainliest if this helped

Answer:

Volume = 12

Step-by-step explanation:

Answer:

12cm³

Step-by-step explanation:

L=3cm

W=2cm

H=2cm

Volume=L*W*H

Volume =3*2*2

=12 cm³

Answer:

Step-by-step explanation:

Fraction:

0.8 = 8/10 = 4/5

Percent:

0.8*100 = 80%

Answer:

0.8 can be written as

8/10 and

Percentage = 8/10 × 100

Percentage = 8 × 10

Percentage = 80%

Or,

Simply

Percentage = 0.8 × 100

Percentage = 80%

[tex] \\ [/tex]

Answer:x=92

y=−255

Step-by-step explanation:

Answer:

m=1 or m=-3

Step-by-step explanation:

when m=1,

(1+1)sq+1=5

4+1=5

5=5

True statement

when m=-3,

(-3+1)sq+1=5

(2)sq+1=5

4+1=5

5=5

True statement

Answer:

1, p = -0.5

Step-by-step explanation:

2(p+5) = 4 - 10p

2p+10 = 4 - 10p

2p + 10p = 4 - 10

12p = -6

p = -6/12

p = -0.5

2(-0.5+5) = 4 - 10(-0.5)

-1 + 10 = 4 + 5

9 = 9

Answer:

The house is 2000 meters from the school.

Step-by-step explanation:

Given that, when I have walked 20% of the way to school, I have 1200 meters more to walk than when I have 20% of the walk remaining, to determine how far, in meters, is it from my home to my school the following calculation has to be done:

100 - 20 = 80

80 = 20 + 1200

80 - 20 = 1200

60 = 1200

1200/60 = 20

20 x 100 = 2000

Therefore, the house is 2000 meters from the school.

Answer:

Step-by-step explanation:

"Inversely proportional to x" in this situation is represented by a = k/x.

Find k:

Let a = 15 and x = 25, then calculate k:

15 = k/25)

Multiplying both sides by 25 yields k = 15(25), or k = 3/5

                       3

and so a = -----------

                      5x

Answer:

4.5 feet

Step-by-step explanation:

One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:

Answer:

7      -10     -30     -53

Step-by-step explanation:

47-2 = 45

45-5 = 40    (2+3=5)

40-8 = 32   (5+3=8)

32-11 = 21(8+3=11).........

21-14 = 7

7-17 = -10

-10 -20 = -30

-30-23 = -53

Answer:

The angle between the two vectors

∝ = 64°

Step-by-step explanation:

Step(i):-

Given that the vectors

                           [tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]

          and

                         [tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]

[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]

           =  3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)

          = 3 - 2 -10

          = -9

Step(ii):-

Let '∝' be the angle between the two vectors

                    [tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]

                  [tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]

                 [tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]

               [tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]

              ∝ = cos⁻¹(0.4392) = 63.947

Final answer:-

The angle between the two vectors

               ∝ = cos⁻¹(0.4392) = 63.947

                ∝ = 64°

Answer:

D

Step-by-step explanation:

She ate 240 in 6 days or 40/day

So she would eat 120 in 3 days (40x3)

Answer:

D) 120 grapes in 3 days

Step-by-step explanation:

240/6 = 40 per day

80 in 2 days

120 in 3 days

A. Angle E = 113°

B. x = 16°

Number A

92 + 70 + 85 + ? = 360

162 + 85 + ? = 360

247 + ? = 360

? = 360 - 247

? = 113°

Number B

108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360

(180 + 84 + 30 + 18) + (x + 2x) = 360

312 + 3x = 360

3x = 360 - 312

3x = 48

x = 48/3

x = 16°

#LearnWithBrainly

Answer: <

6.12 x 10^4 < 612,000

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

because 6.12 × 10^4 = 61,200 and 612,000 is obviously a way bigger number, so greater than symbol is the correct answer.

Answer:

0.81 hour

Step-by-step explanation:

Given data

Distance=  544.32 miles

Speed=  672 miles per hour.

We know that

Speed= distance/time

Substitute

672=  544.32/time

cross multiply

time*672= 544.32

time= 544.32/672

time= 0.81 hour

Answer:

Don't understand 12am like how

Step-by-step explanation:

L+W+L+W=26 so 2L=26–2W and you can find length from the perimeter as L=13−W

LW=42 so L=42/W is the other way to find the length, from the area. Both ways require you to know W, but if you have both pieces of information the two answers for length must be the same 42/W=13−W, and you solve this:

42=13W−W2

W2–13W+42=0

(W−6)(W−7)=0

Either W−6=0 or  W−7=0

Answer:

C

Step-by-step explanation:

Symmetry means to have the same structure on both sides. So, imagine a mirror reflecting, lets say half a piece of bread the structure will be the same on both sides.

pls give brainlist if helpful

Answer:

17

Step-by-step explanation:

11 - 2(-3) = 11 + 6 = 17

should put -3 where x is

Answer: 65

Step-by-step explanation: well 115 is 115 on the opposite direction therfore 65 would be 65 on the opposite side also please give brainlest i am only one away from leveling up

Answer:

As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Step-by-step explanation:

As the standard deviation for the past due amounts is 63

The sample size n= 67

1) Formulate the null and alternate hypothesis

H0: u ≤ 23 against the claim Ha: u > 23

2)  The test statistics is

Z= x- u / σ/ √n

z= 20- 23/ 63/ √67

z= 0.00581

z= 0.006

3) The significance level ∝= 0.1

4) The critical value for ∝= 0.1 is Z > ±2.33

5) As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Answer:

a brand x = 13 (median ) brand y = 16 median

Answer:

A) Median value is depicted on a box plot by the vertical line that divides the rectangular box. Therefore: Median value for Brand X = 13 and Median value for Brand Y = 16. B) Brand Y has a higher median value (16) than Brand X (13). This implies that brand Y has a battery life that last longer than brand X.

Answer:

[tex]$\frac{1}{6}$[/tex]

Step-by-step explanation:

Expressing the irrational numbers into its simplified form :

Given :

The product of  [tex]$\frac{2}{3}$[/tex]  and  [tex]$\frac{3}{12}$[/tex]

Therefore,  

[tex]$=\frac{2}{3} \times \frac{3}{12}$[/tex]

[tex]$=\frac{2}{12}$[/tex]

[tex]$=\frac{1}{6}$[/tex]

So the simplified form is [tex]$\frac{1}{6}$[/tex]

Using proportions, it is found that the percentage of the people surveyed own a bird is given by:

C. 6%.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. When the proportion is multiplied by 100%, a percentage is found.

The proportion of people who own a bird is:

p = 0.04 + 0.02 = 0.06.

Hence the percentage is of 6%, which means that option C is correct.

More can be learned about proportions at https://brainly.com/question/24372153

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Answer:

solution:

5(4+2x)=-(x-5)-7

20+10x=-x+5-7

10x+x=-2-20

x=-22/11=-2

x=-2

so.D.-2 is your answer.

Answer:

7/30

Step-by-step explanation:

Answer:

40 mph

Step-by-step explanation:

160÷4 = 40 miles per hour

Answer:

40miles per hour

Step-by-step explanation:

distance traveled/time spent=speed(velocity)

160/4=speed (velocity)

40mph

Answer:

Henry was thinking of the number 10.

Step-by-step explanation:

Variable x = Henry's original number

Set up an equation:

x ÷ 2 + 10 = 15

Isolate variable x:

x ÷ 2 = 5

x = 10