a can is filled with milk at 3/5 of its volume. after adding 6 liters of milk, the can was full. How much milk does the bottle contain?​

Answer:

x = 49.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta  = opp /adj

tan x = 14/12

Taking the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (14/12)

x =49.39870535

x = 49.4

Answer:

x = 49.4

Step-by-step explanation:

It's right triangle , so we can use trigonometry functions

tan θ = opposite side / adjacent side

tan x = 14 / 12

Taking inverse tan of each side

[tex] \small \sf \leadsto \: tan { }^{ - 1} (tan \: x \: ) = tan \: {}^{ - 1} ( \frac{14}{12}) \\ [/tex]

x = 49.39870535

Round nearest tenth of degree = 49.4

Answer:

180 -110 = 70

c =70

Step-by-step explanation:

Answer:

2.82

Step-by-step explanation:

2 x 5 x 60

600 ÷ 3 = 300

Answer:68.27%

Step-by-step explanation:

TI84

2nd distr

normalcdf(89,97,93,4)

Answer:

3.33 hours

Step-by-step explanation:

Take the total bill minus the flat charge. ($300 - $50 = $250)

Then take that amount and divide by the charge per hour.

($250/$75) = 3.33 hours

Answer:

x = 3 1/3 so approximately 3 hrs

Step-by-step explanation:

50 + 75x = 300

75x = 250

x = 3 1/3

Answer:

1/10

Step-by-step explanation:

7 is one number in a 10 sided die

Step-by-step explanation:

Hey there!

The equation of line which passes through the point (1,2) is (y-2) = m1(x-1)............(i)

The another given equation is y= 2x + 3.........(ii)

Comparing the equation (ii) with y= mx+c we get;

Slope (m2)= 2.

As per the condition of perpendicular lines, m1*m2 = -1.

m1*2 = -1

Therefore, m1 = -1/2.

Keeping the value of m1 in equation (i) we get;

(y-2) = -1/2(x-1)

y - 2 = -1/2x +1/2

y = -1/2 X + 1/2 + 2

Therefore, the required equation is y = -1/2 X + 5/2.

Hope it helps!

Answer:

49a^7

Step-by-step explanation:

Combine like terms (30+19 = 49)

Answer:

[tex]{ \bf{30 {a}^{7} + {19a}^{7} }} \\ = (30 + 19) {a}^{7} \\ = 49 {a}^{7} [/tex]

Answer:

its 93.4

Step-by-step explanation:

just multiply 46.7 by 2

Answer:

Option (1)

Step-by-step explanation:

If a polynomial is given in the form of f(x) = ax³ + bx² + c

By rational root theorem rational roots of the given polynomial will be,

x = [tex]\frac{\pm \text{Factors of c}}{\pm \text{Factors of a}}[/tex]

Given polynomial in the question is,

f(x) = 66x⁴- 2x³ + 11x²+ 35

Possible rational roots will be,

x = [tex]\frac{\pm \text{factor of 35}}{\pm \text{Facors of 66}}[/tex]

Therefore, Option (1) will be the answer.

Answer:

312

Step-by-step explanation:

13 x 24 = 312

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be x.

Then since they are consecutive numbers, the second number will be (x + 1), the third (x + 2), the fourth (x + 3) and the fifth being (x + 4).

We are given that their sum is 700. Therefore:

[tex]x+(x+1)+(x+2)+(x+3)+(x+4)=700[/tex]

Solve for x. Combine like terms:

[tex]5x+10=700[/tex]

Subtract 10 from both sides:

[tex]5x=690[/tex]

Divide both sides by five. Therefore:

[tex]x=138[/tex]

The first number is 138.

Answer:

138

Step-by-step explanation:

(n) + (n+1) + (n+2) + (n+3) + (n+4) = 700

5n + 10 = 700

5n = 690

n = 138

Answer:

[tex](4+j)-3[/tex]

Step-by-step explanation:

Hope this helps

Answer:

8 / 17

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as acute, isosceles, obtuse, scalene, equilateral and right angled triangle.

Trigonometric identities are used in a right angled triangle to show the relationship between the sides and the angles. They are:

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite / adjacent

From the triangle attached:

sin(H) = opposite / hypotenuse

sin(H) = 8 / 17

Answer:

5

Step-by-step explanation:

seven has 5 letters

Answer:

Step-by-step explanation:

let the other angle be x

in complementary angle sum of two angle is 9 degree.so,

73.9+x=90 degree

x=90-73.9

x=16.1 degree

Answer:

20

h(x) = 2x - 20

Step-by-step explanation:

f(x) = ¹/₂ x + 10

First, isolate x, like so:

f(x) - 10 = ¹/₂ x

x = 2(f(x) - 10)

x = 2f(x) - 20

Now, simply switch f(x) with x and x with h(x), like so:

h(x) = 2x - 20

Answer:

the answer is 20

Step-by-step explanation:

took the test on edge

Answer:

Y = -1/4x + 5

Step-by-step explanation:

You need to redo the question and attach the images

it's D!

Answer:

16) r = C/(2·π)

17)  [tex]r^2 = \dfrac{3 \ \cdot V}{\pi \cdot h}[/tex]

18) x = (9 - 3·y)/2

19) Please find attached the required graph of the inequality x ≤ 4 created with MS Excel

20) z ≥ 1

Solve each inequality and graph the solution

21) n ≤ 1

22) p > -5

23) -3 ≤ q ≤ 2/5

24) x > 1/5

25) x < -11

26) 7

Step-by-step explanation:

Solving for the indicated variable

16) C = 2·π·r for r

Dividing both sides by 2·π gives;

C/(2·π)  = 2·π·r/(2·π)  = r

∴ r = C/(2·π)

17) [tex]V = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h \ for \ r^2[/tex]

Dividing both sides by [tex]\left( \dfrac{1}{3} \cdot \pi \cdot h \right)[/tex] gives;

[tex]\dfrac{V}{\left( \dfrac{1}{3} \cdot \pi \cdot h \right)} = \dfrac{ \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h}{\left( \dfrac{1}{3} \cdot \pi \cdot h \right)}[/tex]

[tex]\therefore r^2 = \dfrac{V}{\left( \dfrac{1}{3} \cdot \pi \cdot h \right)} = \dfrac{3 \ \cdot V}{\pi \cdot h}[/tex]

[tex]r^2 = \dfrac{3 \ \cdot V}{\pi \cdot h}[/tex]

18) 2·x + 3·y = 9 for x, gives;

x = (9 - 3·y)/2

19) Please find attached the required graph of the inequality x ≤ 4 created with MS Excel

20) Solve each inequality

z - 3 ≥ -2

z ≥ -2 + 3 = 1

∴ z ≥ 1

Solve each inequality and graph the solution

21) 3·n  + 5 ≤ 2·n + 6

n ≤ 1

22) 10·p + 20 - p > p + 3 - 23

9·p + 20  > p - 20

8·p > -40

p > -5

23) -1 ≤ 1 - 5·q ≤ 16

∴ 2/5 ≥ q ≥ -3

-3 ≤ q ≤ 2/5

Solve each word problem

24) Let x represent the number, we have;

2·x + 3·(x + 2) > 17

5·x + 6 > 7

∴ x > 1/5

The numbers are numbers larger than (1/5)

Solve each inequality

25) 2·(x - 5) + 3·x < 4·(x - 6) + 3

2·x - 10 + 3·x < 4·x - 24 + 3

x < -11

26) -2 - [-4 - (3 - 2)] = -2 + 4 + 3 - 2 = 7

Answer:

3x + 9

Step-by-step explanation:

1. combine like terms

x and 2x = 3x

4 + 5 = 9

2. put them together

3x + 9 is your answer.

Hope I helped! have a wonderful day!

Answer:

3x + 9

Step-by-step explanation:

Just add the both the x's together:

2x + x = 3x

Then add the regular numbers together:

4 + 5 = 9

then put the answers together:

3x + 9

Answer:

Step-by-step explanation:

4x^2+120x

4x^2+120x=0

4x^2=-120x

4x^2/x=-120

4x=-120

x=-120/4

x=-30

Answer: 4th week

Step-by-step explanation:

You just keep adding 150 to 250 for Sarah and subtract 200 from 1,650 for Felicia until they both have the same amount which would be 850.

At the end of 4th week Sarah and Felicia have same amount of money equals to $850.

"Amount is defined as representation of total of two or more quantities."

According to the question,

Amount with Sarah at the beginning of the week = $250

Amount save per week by Sarah = $150

Amount with Felicia at the beginning of the week = $1650

Amount save per week by Felicia = $200

As per the given conditions,

Sarah amount for different weeks:

At the end first week = $250 + $150

                                   = $400

At the end second week = $400 + $150

                                         = $550

At the end third week = $550 + $150

                                    = $700

At the end fourth week = $700 + $150

                                       = $850

Felicia amount for different weeks:

At the end first week = $1650 - $200

                                   = $1450

At the end second week = $1450- $200

                                         = $1250

At the end third week = $1250 - $200

                                    = $1050

At the end fourth week = $1050- $200

                                       = $850

Hence, at the end of 4th week Sarah and Felicia have same amount of money equals to $850.

Learn more about amount here

https://brainly.com/question/13024617

#SPJ2

Answer:

comment if u have questions

Step-by-step explanation:

a)

10x-6=24

10x=30

x=3

b.

10x+5=50

10x=45

x= 45/10 (9/2)

Answer:

this is the correct answer

Answer:

[tex]8\%[/tex]

Step-by-step explanation:

Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.

Because the total is $75 and Theresa is tipping $6, she is tipping [tex]\frac{6}{75}=0.08[/tex] of the total. To convert this to a percentage, multiply by 100: [tex]0.08\implies 0.08\cdot 100=\boxed{8\%}[/tex]

Answer:

x = -6

Step-by-step explanation:

8 + 4x = -16

4x = -16 - 8

4x = -24

x = -24/4

x = -6

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 6}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex]\:8 + 4x = - 16[/tex]

➺[tex] \: 4x = - 16 - 8[/tex]

➺[tex] \: 4x = - 24[/tex]

➺[tex] \: x = \frac{ - 24}{4} [/tex]

➺[tex] \: x = - 6[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]\:8 + 4x = - 16[/tex]

➼[tex] \: 8 + 4( - 6) = - 16[/tex]

➼[tex] \: 8 - 24 = - 16[/tex]

➼[tex] \: - 16 = - 16[/tex]

➼[tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

263(usually it would say cm or m)²

Step-by-step explanation:

area = l x w

l= 25

w= 19

25 x 19 = 551

thats the area without subtracting the missing area's.

missing area= 9 x 16

=144

since theres 2 areas missing, times it by two

144 x 2

=288

subtract the missing area from the total because its not there.

551 - 288

= 263