Enter the number that belongs in the green box

Answer:

x = 30

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

60 + x+3x = 180

60 + 4x = 180

Subtract 60 from each side

60+4x-60 = 180-60

4x = 120

Divide by 4

4x/4 = 120/4

x = 30

Answer: $0.1359375

Step-by-step explanation:

First and foremost, we should note that 1 gallon = 128 ounce. Therefore, $3.48 per gallon simply means $3.48 for 128 ounce. Therefore, the cost per ounce will be:

= $3.48 / 128

= $0.0271875

Therefore, the amount for the the milk for one portion cost which requires 5 ounces of milk will be:

= $0.0271875 × 5

= $0.1359375

Answer: 13.5 m, hope this helps :)

If the volume of the sphere is 651 m³. Then the diameter of the sphere will be 10.75 meters.

If the given sphere is of radius r units, then its volume is given as:

V = 4/3 πr³ unit³

The volume of the sphere is 651 m³.

Then the diameter of the sphere will be

We know the formula in the form of diameter.

V = 1/6 πd³ unit³

Then we have

651 = 1/6 πd³

πd³ = 3906

 d³ = 1243.31

  d = 10.75 m

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Answer:

y = |x + 2|

Step-by-step explanation:

given the straight shape, it must be a linear function, but the "bend" in it indicates that an absolute value is being used.

So to start we can say: y = |x|

But that's not sufficient, as it would show that bend being at 0, 0. Instead, we need to translate it two units to the left, giving us:

y = |x + 2|

Answer:

x = 23

Step-by-step explanation:

7x - 11 = 4x + 58

(7x - 4x) - 11 = (4x - 4x) + 58

3x - 11 = 58

3x (- 11 + 11) = 58 + 11

3x = 69

3x/3 = 69/3

x = 23

GIVEN

L×B = 1624. ---1)

2(L+B) = 170

(L+B) = 85

L= 85- B

Substitute value of L in eq 1)

(85-B)B = 1624

B²-85B+1624 = 0

B²-56B-29B+1624 = 0

B(B-56)-29(B-56) = 0

(B-29)(B-56) = 0

B= 29 OR B= 56

IF B = 29, L = 56

IF B = 56, L = 29

The dimension of lawn is 56×29 cm²

Answer:

the displayed green time for the traffic movement is 30 seconds

Step-by-step explanation:

Given the data in the question;

Cycle length; C = 70 seconds

Displayed all-red time; AR = 2 seconds

Displayed yellow time; Y = 5 seconds

Effective red time; r = 37 seconds

total lost time per cycle; [tex]t_L[/tex] = 4 seconds

the displayed green time for the traffic movement; G = ?

First we determine the Effective green time ( g );

Effective red time; r = Cycle length; C - Effective green time ( g )

so,

Effective green time ( g ) = C - r

we substitute

Effective green time ( g ) = 70 seconds - 37 seconds

Effective green time ( g ) = 33 seconds

Now,

Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle; [tex]t_L[/tex]

i.e

g = G + Y + AR - [tex]t_L[/tex]

we substitute

33 = G + 5 + 2 - 4

33 = G + 3

G = 33 - 3

G = 30 seconds

Therefore, the displayed green time for the traffic movement is 30 seconds

Answer:

A and C

Step-by-step explanation:

5+(-5) is the same thing as 5-5 so the answer is 0. If you went to the right of number five you would get ten. The answer is 0 so you have to go left of 5 to get to zero.

Answer:

It's the first one I think

Step-by-step explanation:

Compound inequalities :A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements .

THE CORRECT ANSWER IS THE LAST ONE ..

Answer:

(4.31 ; 9.27)

Step-by-step explanation:

Given :

Sample size , n = 9

Mean, x = 6.79

Standard deviation = 2.2175

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/√n

Zcritical at 99% ; df = n - 1 = 9 - 1 = 8 = 2

Zcritical at 99% = 3.355

Margin of Error = 3.355 * 2.2175/√9 = 2.480

Lower boundary = 6.79 - 2.480 = 4.31

Upper boundary = 6.79 + 2.480 = 9.27

(4.31 ; 9.27)

Answer:

The answer is "[tex]\frac{dA}{dt}+ \frac{A}{100}=0\ \ and \ \A(0)=60[/tex]"

Step-by-step explanation:

[tex]A(0)=60\\\\ \frac{dA}{dt}=Rin-Rout\\\\Rin=0\\\\Rout=\frac{A(t)}{500} \times (5)\\\\ =\frac{A}{100}\\\\ so,\\\\\frac{dA}{dt}=Rin-Rout\\\\\frac{dA}{dt}=0- \frac{A}{100}\\\\\frac{dA}{dt}+ \frac{A}{100}=0\\\\A(0)=60[/tex]

Answer:

Option c is correct one

C. 4/26

Bcz word MATH contains 4 words and total alphabet is 26

Answer:

Option C

Step-by-step explanation:

I just graphed on my TI-84

Hope this helps!

Answer:

Sterling Corporation

a. Arguments to support the minority shareholders' claim include:

1. If there is a provision to this effect in the Shareholders' agreement,

2. If the minority shareholders can prove that Wilcox oppressed the minority shareholders by selling off his shares in the corporation, and

3. If the Shareholders' agreement forbids Wilcox from selling off his shareholdings.

b. The arguments to reject the minority shareholders' claim include:

1. As the majority shareholder, Wilcox dictates the direction of firm until the sale-off.

2. Wilcox is within his rights to sell his shares to Conrad.

3. Wilcox does not oppress the minority shareholders with the sale to Conrad.

c.  Wilcox should prevail.  Apparently, he did not act illegally or contrary to agreement.

Step-by-step explanation:

Shareholding of Wilcox (chief executive officer and chairman of the BOD) = 60%, which is > 50%.

Shareholding of Minority shareholders = 40%, which is <50%

Market price per share of Sterling Corporation = $22

Selling price of Wilcox's shares = $29

Excess of the market price = $7 ($29 - $22)

Answer:

its b i had this same thing in classkick

Step-by-step explanation:

Answer:

25 tables

Step-by-step explanation:

140-15=125

after the big table is filled 125 people are left

small tables fit 5 people

125÷5=25

1 big table and 25 small tables are needed to seat everyone

Answer:

right angle triangles with ninty degree

Answer:

Coordinates:

(-3, 5)

(2, 5)

(-3, 10)

(2, 10)

Step-by-step explanation:

Perimeter formula:

length + width + length + width

Insert known value(s):

l + w + l + w = 20

Squares must have the same value for all 4 sides, so what number × 4 will equal 20? 5.

5 + 5 + 5 + 5 = 20

This means coordinates will be 5 units apart:

(-3 + 5, 5) = (2, 5)

(-3, 5 + 5) = (-3, 10)

Mark these coordinates on your grid as you go to double check the shape turns becomes a square:

(2, 5 + 5) = (2, 10)

Counting between them should equal 5 units for each side: I checked using the desmos graphing calculator online.

Answer:

0.8629

Step-by-step explanation:

Given :

Number of trials, n = 400

p = 0.25

q = 1 - p = 1 - 0.25 = 0.75

With the information given, we could use a binomial probability relation to solve :

Recall : P(x = x) = nCx * p^x * q^(n-x)

Therefore, the probability that between 75 (inclusive) and 95 (inclusive) can be interpreted as :

P(75≤X≤90) = P(X ≥ 75) - P(X ≤ 90)

Using a binomial probability calculator :

P(X ≥ 75) = 0.9987

P(X ≤ 90) = 0.1358

0.9987 - 0.1358 = 0.8629

Given =

n=6,

r=1/4

a=2

Sn = a+ar+ar²+ar³+ar⁴+ar⁵= 2+0.5+0.125+0.03125+0.0078125+0.00195~ 2.67

Answer: 2 mi = 3520.00 yd

Answer:

2 mi= 3520 yd

Step-by-step explanation:

To convert a mile measurement to a yard measurement, multiply the length by the conversion ratio.

1 mile is equal to 1,760 yards

multiply the length value by 1760 to get your answer

2 x 1760 = 3520

Answer:

Independent sample t test

Step-by-step explanation:

The Independent sample t test could be explained as a statistical test carried out in other to establish or examine if significant difference exists between two independent samples. That is the outcome of the samples do not depend on one another. Using the scenario described above, the difference between the same variable is measured for two different groups which is the ideal set up for an independent sample t test. The difference between test score for two independent samples (those who attended the workshop and those who did not) is being compared.

Answer:

Sin T = 0.28

Step-by-step explanation:

Here in this question

Hypotenuse = 25

Base = 24

The third vertex of the triangle is Sqrt (25*25 - 24*24) = 7

SinT = Perpendicular/Hypotenuse

SinT = 7/25

Sin T = 0.28

============================================================

Work Shown:

(150 miles)/(6 gallons) = (325 miles)/(x gallons)

150/6 = 325/x

150*x = 6*325 .... see note below

150x = 1950

x = 1950/150 .... divide both sides by 150

x = 13 gallons is the final answer

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Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.

Answer:

full length would be 56 and width 42

Step-by-step explanation:

The required length and width of the envelope are given as 12cm and 6cm respectively.

Given that,
An envelope is 6 cm longer than it is wide. The area is 72 cm squared.

Surface area is defined as the measure of a region or surface is called as surface area.

Here,
Let the width of the envelope be x,
According to the question,
Length of the envelope = x + 6
Area of the envelope = (x + 6)x
(x + 6)x = 72
x² + 6x -72 = 0
(x + 12)(x - 6) = 0
x = 6 and x = -12
We consider x = 6 because the measure of length is always positive,
Length  = x + 6 = 6 + 6 = 12

Thus, the required length and width of the envelope is given as 12cm and 6cm.

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