A café uses 27.5 quarts of milk a day. If
they have a weekly delivery of 180 quarts,
how much will they have left after six days?

Answer:

Length of string = 30.52 m (Approx)

Step-by-step explanation:

Given:

Angle of elevation = 55°

Height of kite = 25 m

Find:

Length of string

Computation:

Sin 55 = Height of kite / Length of string

0.8191 = 25 / Length of string

Length of string = 25 / 0.8191

Length of string = 30.52 m (Approx)

Answer:

22

Step-by-step explanation:

The answer is 22. You solve the equation 3x+10=7x-6 like so

3x+10=7x-6

-3     = -3

    10= 4x-6

   +6  =       +6

     16=4x

      x=4

You then plug in the value of x to the equation for LM.

7x-6 becomes 7*4-6 which is 22.

Answer:

1600

Step-by-step explanation:

As you can see, this is a difference of squares. We can plug it into our differences of squares formula to get the answer:

(a+b)(a-b)

(58+42)(58-42)

(100)(16)

= 1600

Hope you learned something!

Answer: 1600

Step-by-step explanation: 58x58 - 42x42 = 1600

Answer:

b

Step-by-step explanation:

(y^3 * 2^5)^2

3x2=6

5x2=10

y6x2^10

Answer:

x=6

Step-by-step explanation:

The triangle is an equilateral triangle since all angles are 60 degrees

That means all sides are equal

3x-13 = x-1

Subtract x from each side

3x-13-x = x-1-x

2x-13 =-1

Add 13 to each side

2x= -1+13

2x = 12

Divide by 2

2x/2 =12/2

x = 6

Answer:

B. 6

Step-by-step explanation:

Two angles are 60 degrees, the other is also 60 degrees.

The triangle is an equilateral triangle.

All sides are equal.

3x - 13 = x - 1

3x - x = -1 + 13

2x = 12

x = 6

Answer:

35 combinations

Step-by-step explanation:

The first digit cannot be 5 or 6 (Since the digits could not be in ascending order if that was the case).

If the first digit is 4, there is 1 possibility:

(4, 5, 6)

If the first digit is 3, there are 3 possibilities:

(3, 4, 5) (3, 4, 6) (3, 5, 6)

If the first digit is 2, there are 6 possibilities:

(2, 3, 4) (2, 3, 5) (2, 3, 6) (2, 4, 5) (2, 4, 6) (2, 5, 6)

If the first digit is 1, there are 10 possibilities :

(1, 2, 3) (1, 2, 4) (1, 2, 5) (1, 2, 6) (1, 3, 4) (1, 3, 5) (1, 3, 6) (1, 4, 5) (1, 4, 6) (1, 5, 6)

If the first digit is 0, there are 15 possibilities:

(0, 1, 2) (0, 1, 3) (0, 1, 4) (0, 1, 5) (0, 1, 6) (0, 2, 3) (0, 2, 4) (0, 2, 5) (0, 2, 6) (0, 3, 4) (0, 3, 5) (0, 3, 6) (0, 4, 5) (0, 4, 6) (0, 5, 6)

Therefore, he would need to try at most 35 combinations.

Answer:

The volume of air in the auditorium = 5832 cubic meter

Step-by-step explanation:

Length, breadth, and height of the auditorium = 18m

Therefore, the volume of air in the auditorium

[tex]=18 \times 18 \times 18\\=5832 $ cubic meter[/tex]

An average adult person requires approximately 0.3 cu.M air per hour.

Therefore:

6480 adult person will require: 0.3 X 6480 = 1944 cu.M air per hour.

For three hours:

6480 adult person will require: = 1944 X 3 =5832 cubic meter of air

We notice that the volume of air in the room will be exhausted exactly after 3 hours when 6480 persons attend.

Therefore, the owner has taken this decision to avoid suffocation as an increase in the number of tickets or hours will cause such.

Answer:

y = 4x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = [tex]\frac{1+3}{1-0}[/tex] = 4

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = 4x - 3 ← equation of line

Answer:

The correct options are;

To determine if it is a parallelogram use the converse of the parallelogram diagram diagonal theorem. This states that if the diagonals bisect each other, then the quadrilateral is a parallelogram

The midpoint of [tex]\overline {HJ}[/tex] is (2, 2) and the midpoint of  [tex]\overline {IK}[/tex] is (2, 2)

Therefore, HIJK is a parallelogram because the diagonals have the same (share a common) midpoint, which means they bisect each other

Step-by-step explanation:

The given coordinates are;

H(0, 5), I(3, 3), J(4, -1), K(1, 1)

The diagonals are;

HJ and IK

The equations of the diagonals are;

Slope of segment HJ = (5 - (-1))/(0 - 4) = -3/2

Therefore, y - 5 = -3/2(x - 0)

When x = 0, y = 5, therefore c = 0 which gives;

y = -3/2x + 5

The slope of segment IK = (3 - 1)/(3 - 1) = 1

Therefore, y - 3 = x - 3

y = x

To get the intersection point, we have;

-3/2x + 5 = x

5 = 5/2x

x = 5/(5/2) = 2

y = x = 2

The coordinate of the intersection point is (2, 2)

The coordinates of the mid point if gotten from ((x₁ + x₂)/2, (y₁ + y₂)/2)

For HJ, we have;

((0 + 4)/2, (5 + (-1))/2) = (2, 2)

The coordinate of the midpoint of IK is ((3 + 1)2, (3 + 1)/2) = (2, 2)

Therefore, the diagonals bisect each other

Therefore we have;

To determine if it is a parallelogram use the converse of the parallelogram diagram diagonal theorem . This states that if the diagonals bisect each other, then the quadrilateral is a parallelogram

The midpoint of [tex]\overline {HJ}[/tex] is (2, 2) and the midpoint of  [tex]\overline {IK}[/tex] is (2, 2)

Therefore, HIJK is a parallelogram because the diagonals have a common midpoint which means they bisect each other

Answer:

1 bisect each other

2 (2, 2)

3 have the same midpoint

Step-by-step explanation:

Answer:

-10x +25

Step-by-step explanation:

–5(2x – 5)

Distribute

-5 * 2x - (-5) * 5

-10x +25

Answer:

-10x + 25

Step-by-step explanation:

-5(2x - 5)

Distribute the expression

-5(2x) + 5(5)

Multiply

-10x + 25

The expression cannot be simplified further

Hope this helps :)

Answer:

2[tex]a^{7}[/tex] - 16[tex]a^{6}[/tex] + 18[tex]a^{5}[/tex]

Step-by-step explanation:

Given

(a²)(2a³)(a² - 8a + 9) ← multiply the first 2 factors

= 2[tex]a^{5}[/tex] (a² - 8a + 9) ← distribute the parenthesis by 2[tex]a^{5}[/tex]

= 2[tex]a^{7}[/tex] - 16[tex]a^{6}[/tex] + 18[tex]a^{5}[/tex]

Answer:

A. 2a^7-16a^6+18a^5

Step-by-step explanation:

on edge 2020

Answer:

0.4

Step-by-step explanation:

Answer: 0.4

Step-by-step explanation:

Answer: D) -4/3

Step-by-step explanation:

Slop can be represented as [tex]\frac{rise}{run}[/tex].  This equation rises -24 units then runs 18.  Thus, the slope is -24/18, or -4/3.

Hope it helps <3

Answer:

-4/3.

Step-by-step explanation:

To get the slope, you do the rise over the run.

In this case, the rise is going to be -24, since the track is falling. The run will be 18.

-24 / 18 = -12 / 9 = -4/3

Hope this helps!

Answer:

B (1)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the answer is c, hope this helped :)

Answer:

3. 16x^2+24xy+9y^2

Step-by-step explanation:

A perfect square trinomial has the form of:

a^2+2ab+b^2= (a+b)^2

Let's see which of the given is equivalent to perfect square

1. 50y^2-4x^2

No, this is not a trinomial

2. 100-36x^2y^2

No, this is not a trinomial

3. 16x^2+24xy+9y^2 = (4x)^2 + 2*4x*3y+ (3y)^2 = (4x+3y)^2

Yes, this is a perfect square

4. 49x^2-70xy+10y^2= (7x)^2- 2*7x*10y + 10y^2

No, this is a trinomial but not a perfect square because 10y^2 is not equal to (10y)^2

As per above, the answer is the 3rd choice

Answer:

Option D and E

Step-by-step explanation:

Time for guard passes = 5G

Time for kimura arm locks = 2K

Altogether:

=> 5G+2K

If he does 7 times:

=> 7(5G+2K)

Simplified form:

=> 14K+35G

Answer:

Option D and E

Step-by-step explanation:

Time for guard passes = 5G

Time for kimura arm locks = 2K

Altogether:

=> 5G+2K

If he does 7 times:

=> 7(5G+2K)

Simplified form:

=> 14K+35G

Answer:

45

Step-by-step explanation:

it only has 15 people as liking pears so if you already have a angle of 60 for apples that is you solution

Answer:

Second and last

Step-by-step explanation:

The vertex form of a quadratic function is written as: a(x-h)^2+k where (h,k) are the coordinates of the vertex

The equation y =-(x-0.5)^2+9

Then the vertex of this graph is (0.5,9)

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

The equation -(x-0.5)+9 has a negative leading factor so the parabola will open down then it will have a maximum

Answer:

There is no greatest perfect square that is a factor of 1290.

Step-by-step explanation:

The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290. There are no perfect squares as factors.

1 is the greatest perfect square that is a factor of 1290.

A perfect square is one that is derived by multiplying an integer by itself.

The following are perfect squares:

Looking at the factors of 1,290, the only perfect square appearing there is 1.

We can therefore conclusively state that 1 is the greatest perfect square that is also a factor of 1,290

Find out more at https://brainly.com/question/13521012.

Answer:

1/2 x^2 = 450

Step-by-step explanation:

x is the greater number.

The other number is 1/2x.

1/2x * x = 450

1/2 x^2 = 450

The equation that can be used to find x which is the greater number is 1/2(x²) = 450

Word problems involving algebraic expression require the use of variables to interpret the problems and the use of arithemtic operations in solving the variables.

From the given information:

Let say:

However, the first number is half the second number

i.e y = x/2

So, we have:

(x/2) × x = 450

1/2(x²) = 450

Learn more about solving word problems involving the use of algebraic expression here:

https://brainly.com/question/2569354

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Answer:

22.12feet

Step-by-step explanation:

the ladder becomes your hypotenuse,the wall is the height,this forms a right angled triangle and the angle of elevation forms at the base,use sine which is opposite over hypotenuse to get your answer

Answer:

[tex]\boxed{Area = 130 units^2}[/tex]

Step-by-step explanation:

Area of trapezoid = [tex]\frac{a+b}{2} h[/tex]

Where a = 7, b = 19 and h = 10

Area = [tex]\frac{7+19}{2} (10)[/tex]

Area = (26)(5)

Area = 130 units²

The statement - 'x is between –12 and 2.5' can be written in inequality form as -

[tex]-12 < x < 2.5[/tex]

We have a statement : x is between –12 and 2.5.

We have to write it as a mathematical inequality.

We can write the inequality as follows -

α < [tex]x[/tex] < β (Since α is less then 0, it will be less then β)

Similarly, we can write the statement - 'x is between –12 and 2.5' in the form of a mathematical inequality as :

- 12 < [tex]x[/tex] < 2.5

Hence, the statement - 'x is between –12 and 2.5' can be written as a mathematical inequality as -

- 12 < [tex]x[/tex] < 2.5

To solve more questions on expressing the statement as inequality, visit the following link -

https://brainly.com/question/16051258

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Answer:

Hello!

________________________

(A) f(x) = |x|.

(B) f(x) = |x| + 3.

(D) f(x) = |x| - 6.

Would be correct!

Hope this helped you!

The functions that have a vertex with a x-value of 0 are:

f(x) = |x|

f(x) = |x|+ 3

f(x) = |xl - 6

An absolute value function is of the form:

f(x) = a|x - h| + k

where (h, k) represents the vertex

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex

Comparing each of the options with f(x) = a|x - h| + k, the following absolute value functions have a vertex with x-value of 0.

f(x)  =  |x|

f(x) = |x|  +  3

f(x) = |x|  -  6

Learn more here: https://brainly.com/question/11212326

Answer:

Their headquarters contains 420000 employees.

Step-by-step explanation:

The company has two office buildings which hold 30,000 employees.

The headquarters contains 14 times as many employees as the overseas branch.

Therefore, the number of employees in the headquarters is:

14 * 30000 = 420000 employees

Their headquarters contains 420000 employees.

Answer:

Step-by-step explanation:

This is a binomial probability distribution because the outcome is either a randomly selected first-class mail within the same city is delivered within two days of the time of mailing or more days. The probability of success, p is that it is delivered within 2 days. Therefore,

p = 95/100 = 0.95

q(probability of success) = 1 - p = 1 - 0.95 = 0.05

n = number of samples = 6

1)The probability that all six arrive within two days, P(x = 6) would be determined from the binomial probability distribution calculator. Therefore,

P(x = 6) = 0.74

2) P(x = 5) = 0.23

3) mean = np = 6 × 0.95 = 5.7

4) Variance = npq = 6 × 0.95 × 0.05 = 0.285

Standard deviation = √0.285 = 0.53

Given :   E=3, B=7 AND A=4  BASE +  BALL = GAMES

To find :   Other Digits  S , L G M

Solution:

 BASE

 BALL

GAMES

  74S3

  74LL

G 4M3S

if L = 0  then S = 3  but E = 3 ( hence not possible)

=> only possible solution

 3 + L = S

 & S + L  = 13

=> S + S - 3 = 13

=> S = 8

=> L = 5

  7483

  7455

 14938

L = 5

S = 8

M = 9

G = 1

Answer:

136

Step-by-step explanation:

Answer:

136°

Step-by-step explanation:

The angle opposite of x and x are a pair of vertically opposite angles.

Vertically opposite angles are equal in size.

Answer:

The answer is A.

Step-by-step explanation:

Given that the formula for midpoint is :

[tex]m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

So you have to subtitute the coordinates into the formula :

[tex]let \: m = (0,4) \\ let \: (x1,y1) = (6, - 2)[/tex]

[tex](0,4) = ( \frac{6 + x2}{2} , \frac{ - 2 + y2}{2} )[/tex]

Next, you have to solve it by comparison :

[tex]x⇒ \\ \frac{6 + x}{2} = 0 \\ 6 + x = 0 \\ x = - 6[/tex]

[tex]y⇒ \\ \frac{ - 2 + y}{2} = 4 \\ - 2 + y = 8 \\ y = 10[/tex]

Answer:

2

Step-by-step explanation:

thanks! i will do it too!