Owen's goal is to drink 6060 ounces of water each day for three days. On the first day, he met \frac{2}{3} 3 2 ​ of his daily goal, on the second day he met \frac{4}{5} 5 4 ​ of his daily goal, and on the third day he only met \frac{1}{4} 4 1 ​ of his daily goal. During the three-day period, how many ounces of water did he drink altogether? Use paper to show your work. ​

Answer:

13,500

Step-by-step explanation:

x + y = 750

750 x 18 = 13.500

The value of the number of tables will be 6 and the number of chairs will be 12.

When trying to set up or construct a linear equation to fit a real-world application, identify the known quantities and use the unknown quantity as a variable.

In other words, an equation is a set of variables that are constrained through a situation or case.

From the question constraint of a maximum of 18 pieces of furniture

x + y =18

From the question constraint of at least $5400 worth of chairs and tables

600x + 150y ≥ 5400

By equation first, y = 18 - x put this into second

600x + 150(18 - x) ≥ 5400

450x ≥ 2700

x ≥ 6 hence there is need to sell at least 6 tables.

Put x =6 into x + y =18 then

y = 12 hence at least 12 chairs need to be sold.

For more about the equation

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[tex]adjacnt {}^{2} = opposite {}^{2} + hypotenuse {}^{2} \\ adjacent {}^{2} = 8 {}^{2} + 12 {}^{2} \\ adj {}^{2} = 64 + 144 \\ adj {}^{2} = 208 \\ adjacent = \sqrt{208} \\ adjacent = 4 \sqrt{13} [/tex]

Answer:

5 is D

6 is C

Step-by-step explanation:

Define:

Equilateral - All sides and angles are congruent

Isosceles: Two congruent sides and two congruent angles

Scalene: No congruent sides or angles

Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )

obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )

Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )

Answer:

the triangle shown in # 5 has a right angle and 2 congruent sides and angles

Therefore the triangle in #5 is a right isosceles

The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.

Answer:

(46,56)

Step-by-step explanation:

Answer:

C.0

Step-by-step explanation:

THINK PEMDAS

1*6 multiply first. 1*6 is 6

2*-3 is -6

then when you add them, they cancel out

6-6=0

Answer:

2) =22

3)= k> 18

Step-by-step explanation:

Answer and Step-by-step explanation:

Assuming the room is a type of rectangle, we need to divide the area by the width to get the length.

So, do 400 divided by 20 to get the length, as length times width equals the area.

400 divided by 20 = 20.

The length of the room is 20 ft. (meaning the room is a perfect square.

#teamtrees #PAW (Plant And Water)

Answer:

106°

Step-by-step explanation:

isosceles triangle has two sides equal meaning two sides measure 37 so

37+37=74

180-74=106

(total measurement of a triangle is 180)

Answer:

A. 846 cm²

Step-by-step explanation:

1539 ÷ 19 = 81

√81 = 9

9 · 9 · 81 = 1539

A = 2(wl + hl + hw)

A = 2(19 · 9 + 9 · 9 + 9 · 19)

846 cm²

Answer:

let the length of GE be x,

[tex] \frac{9}{3} = \frac{x}{2} [/tex]

being similar triangle.

9×2=x×3

18 = 3x

x = 18/3

x = 6 cm

Answer:

This length is greater than the 12 cm side of the rectangle, so it confirms our initial guess, the longest line segment is 12.89 cm long.

Answer:

where is the question?

Step-by-step explanation:

the picture is all black.

Answer:

4840 yards squared!

Answer:

The line equation is x=3 because the line covers all of the possible y values within the coordinate x=3.

C is the point on the ground where the person is standing and which is making the angle of elevation of 60° AB (Height) = ? Example 2 :Height of tree is 8.65m, the angle of elevation of the top of tree is 60° find the distance at which the person is standing away from tree ? Solution : Let AB is the tree. B is the foot and A is the top of tree.

2 ft above

Now

Angle be x

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]

[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]

[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]

[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]

[tex]\\ \rm\Rrightarrow X=1.432°[/tex]

Answer:

11 2/9.

Step-by-step explanation:

1 8/9 + 9 1/3

= (1 + 9) + (8/9 + 1/3)

= 10 + (8/9 + 1/3)

8/9 + 1/3:

LCD of 3 and 9 is 9 so we have:

8/9 + 3/9 = 11/9

11/9 = 1 2/9

Answer = 10 + 1 2/9

= 11 2/9.

Answer:

[tex]11\frac{2}{9}[/tex]

Step-by-step explanation:

[tex]1\frac{8}{9} +9\frac{1}{3}=1\frac{24}{27} +9\frac{9}{27} =10\frac{33}{27} =11\frac{6}{27}=11\frac{2}{9}[/tex]

Answer:

87.2%

Step-by-step explanation:

move the decimal point 2 places to the right

Answer:

16 will be your answer

Step-by-step explanation:

hope it helps..

Thanks again for the points bro!!

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:So for this question, you need to find side KI and you can find it with the pythagorean theorem

[tex]5^2+\sqrt{21}^2 = c^2[/tex]

25+21=c^2

46=c^2

c=sqrt46

c=6.78

sin(opposite/hypotnuse)

sin(sqrt21/ sqrt46) =.0117

Answer:

Step-by-step explanation:

TAX CALCULATION: 260 x .06 = $15.6

Next, add the tax to the original price.

260 + 15.6 = $275.6

$275.6 is the final price including tax.

Answer:

D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

Answer:

7.57363849

Step-by-step explanation: square root of 57.36 = 7.57363849

Answer:

1434/25 is 57.36 the square root of 57.36 is 7.57

Answer:

The correct options are:

Option b) (1, 3 + 1/2)

Option d) (2,3)

Step-by-step explanation:

Suppose that we have a function:

y = f(x)

A ordered pair (a, b) satisfies this function if:

b = f(a).

In this case, the function is:

y = -(1/2)*x + 4

Let's try with each one of the options:

a) (-1, 3 + 1/2)

Replacing these values we get:

3 + 1/2 = -(1/2)*-1 + 4

3 + 1/2 = 1/2 + 4

3 + 1/2 = 4 + 1/2

This is false, then the point (-1, 3 + 1/2) does not satisfy the function.

b) (1, 3 + 1/2)

Replacing these values we get:

3 + 1/2 = -(1/2)*1 + 4

3 + 1/2 = 4 - 1/2 = (3 + 1) - 1/2 = 3 + (1 - 1/2) = 3 + 1/2

3 + 1/2 = 3 + 1/2

This ordered pair satisfies the function.

c) (2&1/2, 3)

Replacing these values we get:

3 = (-1/2)*(2 + 1/2) + 4

3 = -(1/2)*2 - (1/2)*(1/2) + 4

3 = -1 - 1/4 + 4

3 = 3 - 1/4

This is false, then the point (2 + 1/2, 3) does not satisfy the function.

d) (2, 3)

Replacing these values in the function we get:

3 = -(1/2)*2 + 4

3 = - 1 + 4

3 = 3

This is true, then (2, 3) satisfies the function.

Answer:

2x18=36

im not sure if that's what you meant but i can answer again if you want

Step-by-step explanation:

Answer:

sin ( 330 )

 csc  ( 60 )

cos  ( 390 )

Step-by-step explanation: