I set a goal to drink 64 ounces of water a day. If I drink 3 1/10 ounces in the morning, 2 1/15 ounces at noon, and 6 5/20 ounces at dinner, how many more ounces of water do I have to drink to reach my goal for the day?

Answer:

189.14 miles.

Step-by-step explanation:

This is a vector problem.

A boat sails on a bearing of 73°. This means it is going north, forming a 90° triangle.

The sum of angles in a triangle = 180°

We need to find the third angle.

180° = 90° + 73° + x°

x° = 180° - (90 + 73) °

x = 180° - 163°

x = 17°

The boat then turns and sails 209 miles on a bearing of 190 degrees.

Since it is sailing 190°, it is sailing more than 180°

= 190° - 180° = 10°

This would lead to the formation of another triangle let us call it ABC

Hence, we would have:

90° - ( 10 + 17)°

90° - 27° = 63°

To find the distance of the boat, we would use Cosine rule.

a² = b² + c² - 2bc × Cos A

a = √(b² + c² - 2bc × Cos A

b = 128 miles

c = 209 miles

A = 63°

a = √(128² + 209² -2 × 128 × 209 × Cos 63°)

a = 189.14199miles

Approximately 189.14 miles.

Therefore, the distance of the boat from it's starting point is 189.14 miles.

Answer:

[tex]\Large \boxed{\mathrm{12. \ 54}}[/tex]

[tex]\Large \boxed{\mathrm{13. \ -7.6}}[/tex]

Step-by-step explanation:

|54|

Solve for absolute value.

Apply rule : |a| = a

|54| = 54

-|-7.6|

Apply rule :  |-a| = a

-|-7.6| = -7.6

Answer:

12: 54 and 13: -7.6

Step-by-step explanation:

The absolute value of a number is basically the distance it is from 0. For example, |1| = 1. There is a "rule" for absolute value, if a number x ≥ 0, then |x| = x but if x < 0, then |x| = -x. This is because absolute value is always positive, and if a number is negative, all you have to do to make it positive is multiply it by -1. Therefore, the answer for 12 is 54 since x > 0 in this case. To find the answer to 13, we know that |-7.6| = -(-7.6) = 7.6. -(7.6) = -7.6.

Answer:

[tex]\Large \boxed{x=\frac{-9}{13} \ \ \mathrm{or} \ \ x = -1}}[/tex]

Step-by-step explanation:

[tex]13x^2 + 13x + 9x + 9 = 0[/tex]

Factor the expression.

[tex]13x(x+1)+9(x+1)=0[/tex]

Take (x + 1) as a common factor.

[tex](13x+9)(x+1)=0[/tex]

Set factors equal to 0.

First possibility:

[tex]13x + 9 = 0[/tex]

[tex]13x=-9[/tex]

[tex]\displaystyle x=\frac{-9}{13}[/tex]

Second possibility:

[tex]x+1=0[/tex]

[tex]x=-1[/tex]

Answer:

A

Step-by-step explanation:

measured angle CBE is equivalent to measured angle HBF

Answer:

right 3 up 4

Step-by-step explanation:

Answer:

x+3, y+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

First, we must find out how many perfect squares are between 1 and 10.

1, 2, 4, 9,

Now, we put that quantity over 10.

4              2

--      =      --

10            5

Answer:

y = x - 1

Step-by-step explanation:

Lines that are parallel have the same slope.  The slope of the given equation is 1.  This means that the new equation will also have a slope of 1.

Use the point-slope form to find the equation with the given point and slope.

y - y₁ = m(x - x₁)

y - 2 = 1(x - 3)

y - 2 = x - 3

(y - 2) + 2 = (x - 3) + 2

y = x - 1

Answer:

32/13

Step-by-step explanation:

Please include the instructions when you post a problem.

Let's assume you re to simplify this expression.

We get:

-4+2(-2+5)^2        -4 + 2(3)^2        -4 + 36

__________  = ------------------- = ----------------- = 32/13

5-(2-4)^3               5 - (-2)^3            5 + 8

Answer:

2x+8

Step-by-step explanation:

Answer:

$104

Step-by-step explanation:

10% = 160 ÷ 10 = $16

5% = $16 ÷ 2 = $8

30 % = 16 x 3 = $48

48 + 8 = $56

$160 - $56 = $104

Hope this helps!

Answer:

all real numbers

Step-by-step explanation:

simplify each side of the inequality

26 + 6b -- already fully simplified

2(3b + 4) → 6b + 8

26 + 6b ≥ 6b + 8

subtract 6b from both sides

26 ≥ 8

since this expression is true (26 is greater than 8), then the solution is all real numbers. any value could take the place of b because in the end, it will be canceled out by itself, resulting in 26 ≥ 8

Answer:

less than

Step-by-step explanation:

Answer:

Step-by-step explanation:

nth term means an expression which allows us to find the term that is in the nth position in the sequence.

Hope this helps

plz mark as brainliest!!!!!!!!!

Answer:

-6,2

Step-by-step explanation:

f(x) = (x + 2)^2 - 16

Set this equal to zero to find the solutions

0  = (x + 2)^2 - 16

Add 16 to each side

16  = (x + 2)^2

Take the square root of each side

±sqrt(16) = sqrt( (x + 2)^2)

±4 = x+2

Subtract 2 from each side

±4 -2 = x+2-2

±4 -2 = x

4-2 = x

-4-2 =x

2, -6

In order from least to greatest

-6,2

Answer:

Hey there!

When reflecting across both axis, we switch up the signs but keep the order of the coordinates.

Thus, (-2, 8) and (2, -8) are reflections and (4, -3) and (-3, 4) are also reflections.

Let me know if this helps :)

Answer:

Step-by-step explanation:

-4x - 8 + 6 = 5 -3x - 3

-4x - 2 = -3x + 2

-x - 2 = 2

-x = 4

x = -4

For the expression 2(-2x - 4) + 6 = 5 – 3(x + 1) the value of x is -4.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

The given expression is,

2(-2x - 4) + 6 = 5 - 3(x + 1)

To find the value of x, simplify the expression,

-4x - 8 + 6 = 5 - 3x - 3

-4x - 2 = 2 - 3x

-4 = 4x - 3x

x = -4

The required value of x is -4.

To know more about Algebra on:

https://brainly.com/question/24875240

#SPJ2

Answer:

P=(a+b)*2

P=(2x+8+5x-2)*2=(7x+6)*2=14x+12

Step-by-step explanation:

perimeter is the distance round. Add all the algebras

2x+8+5x-2+2x+8+5x-2

{combine the like terms}

P= 14x+12

Answer:

See Attachment for number line

Step-by-step explanation:

Given

Temperatures: 5°C, -1°C,- 3°C, 2°C, and 0°C

Required

Order from least to greatest using number line

First, we have to order the temperatures:

In order from least to greatest, we have: -3°C     -1°C     0°C    2°C    5°C

Next, we calculate the range;

Range = Highest - Least

Range = 5°C - 3°C

Range = 2°C

See Attachment for number line

Answer:

Step-by-step explanation:

Given the formula for the surface area of a cylinder as S = 2πr(r+h) where r is the radius of the cylinder's base and h is its height.

Given parameters

base radius of the cylindrical pole = 10 cm

Height of the cylindrical pole = 2 m

Since 100 cm = 1 m, then 2 m = 200 cm

Height of the cylindrical pole (in cm) = 200 cm

Required

Surface area of the pole (in cm²)

Using the formula for finding the surface area of a cylinder as shown above;

[tex]S = 2\pi r(r+h)\\\\S = 2\pi (10)(10+200)\\\\S = 2\pi 10(210)\\\\S = 2\pi * 2100\\\\S = 4200\pi cm^2[/tex]

Hence the  surface area of the pole in square centimetres is 4200πcm²

Answer:

Let's assume John gets p for each day so his total is 4p. He spends half of that on gas, (4p)/2 = 2p. He has 2p left. Now subtract 5 from 2p for the coffee, and there is 35 left. So 2p - 5 = 35. Right? Now you can solve for p, by simplifying that equation.

Step-by-step explanation:

Answer:

x = about 3 months and y = about $32.04

Step-by-step explanation:

x = month

y = when the two companies to charge the same amount

Company A

$19.20 + $4.24x = y

Company B

$10.57x = y

10.57x = 19.20 + 4.24x

10.57x-4.24x = 19.20

6.33x = 19.20

x=19.20/6.33

x= 3.03 rounded

So about 3 months

So now we plug in x to get y

10.57 * 3.03 = about $32.03

19.20 + 4.24 * 3.03 = about $32.05

I will average between the two costs which equals $32.04

Hope this helps! :)

Answer:

Almonds = 400grams

Cashew = 300 grams

Step-by-step explanation:

Let the grams of cashew be represented by = C

the grams of almonds be represented by = A

A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel

C + A = 700g ......Equation 1

C = 700 - A

If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg

Let's convert them to grams

1 kg = 1000grams

For almonds

= 288/1000 = 0.288g

For cashew

= 336/1000 = 0.336g

Hence,

0.288 × A + 0.336g × C = ₹216

0.288A + 0.336C = 216

From Equation 1, substitute 700 - A for C in Equation 2

0.288A + 0.336(700 - A) = 216

0.288A + 235.2 - 0.336A = 216

Collect like terms

0.288A - 0.336A = 216 - 235.2

- 0.048A = -19.2

A = -19.2/-0.048

A = 400 grams

Substitute 400g for a in Equation 1

C + A = 700g ......Equation 1

= C + 400g = 700g

C = 700g - 400g

C = 300g

Therefore, the number of grams of Almonds = 400grams

Cashew = 300 grams

Answer:

15

Step-by-step explanation:

you can approach this question with simple math

first you would divide 35 by 7 and you would get 5 then multiply by 3, you will get 15

Answer:

the answer is 15

Step-by-step explanation:

3/7 of 35 means 3/7 x 35

so 3/7 x 7x5

3x5 =15( deleting 7 from numerator and denominator)

ans : 15

Answer:

Rectangle 1 area: 53 units squared

Shape 2 area: 43.75 units squared

Step-by-step explanation:

Shape 1:

We need to find the area of the two triangles in this rectangle and subtract it from the total area of the rectangle.

Total area of the rectangle:

13 * 5 = 65

Area of triangles (they are congruent):

1/2 * 4 * 3 = 6

6 * 2 = 12

65 - 12 = 53

The area of the shaded part is 53 (I don't know what your unit of measurement is. Just say units.)

Shape 2:

First, let's find the area of the parallelogram at the top.

10 * 3 = 30

Now, let's find the area of the rest of the shape. Triangle first...

1/2 * 4 * 1.5 = 3

Now, the rectangle and the tiny triangle we can section out at the end:

7 * 1.5 = 10.5 + 1/4 (Triangle) or 0.25 = 10.75

Total area: 10.75 + 3 + 30 = 43.75

Answer:

8 roses and 12 carnations.

Step-by-step explanation:

For this question, we can use substitution.

r + c = 20, so r = 20 - c.

Substitute this into the second equation, and we get (0.75)(20 - c) + 0.5 c = 12

We can expand, getting 15 - 0.75c + 0.5c = 12.

Combine like terms, and we get 0.25c = 3.

We then solve for c: 12.

Plug this back into the first equation, and we get r = 8.

There are 8 roses and 12 carnations in Denny's bouquet.

Answer:

Denny's bouquet will hold both 16 roses and 16 carnations.

Step-by-step Explanation:

0.75x16= 12

0.5x16= 8

12+8=20

Answer:

y = 6

Step-by-step explanation:

Given a parallelogram ABCD with diagonals AC and BD.

Kindly refer to the diagram attached for the given parallelogram.

[tex]AE=2x\\BE=y+10\\CE=x+2\\DE=4y-8[/tex]

To find:

The value of y = ?

Solution:

First of all, let us consider a property of parallelogram and its diagonals.

The intersecting point of diagonals of a parallelogram bisect the diagonals in two equal parts.

Let us consider the given parallelogram ABCD which has its diagonals BD and AC intersecting at point E.

As per the property stated above:

AE = CE and

DE = BE

Putting the values of AE, CE, DE and BE as given in the question statement and solving for [tex]x[/tex] and [tex]y[/tex]:

[tex]2x = x+2\\\Rightarrow \bold{x = 2}[/tex]

and

[tex]y+10=4y-8\\\Rightarrow 4y-y = 10+8\\\Rightarrow 3y=18\\\Rightarrow y =\dfrac{18}{3}\\\Rightarrow \bold{y= 6}[/tex]

So, the answer is:

y = 6

Answer:

Smallest: XY

Second smallest: YZ

Biggest: XZ

Step-by-step explanation:

First, just observe the triangle,

see which one is the smallest,

if you just look, it would be XY

Next, the second smallest looks like YZ

Lastly, the last side is the largest if you just look at it

Answer:

60/11

Step-by-step explanation:

tan A = 60/11

Answer:

tan A = 60/11