Word choice refers to the

A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 12 pounds of chocolate chips, the total cos

gladu [14]

The total cost of pound of walnut and a pound of chocolate together is $4

Step-by-step explanation:

Let us assume the cost of walnut as $w per pound

Similarly, let us assume the cost of chocolate at $c per pound

Putting the above assumptions in the given conditions mentioned in the question-

Condition 1- the cost of 2-pound walnut and 12-pound chocolate is $ 33

The 2-pound walnut cost can be written as 2w (since we have assumed that walnut cost $w/pound)

Similarly, 12-pound chocolate would cost 12c

2w+12c=33 Equation 1

Condition 2- the cost of 5-pound walnut and 3-pound chocolate is $15

5-pound walnut cost 5w and 3-pound chocolate cost 3c which equals $15

5w+3c=15 Equation 2

Comparing Equation 1 and Equation 2

We multiply Equation 2 with a factor of 4

Hence the equation 2 becomes- 20w+12c=60 (this was done to make either of the variable’s coefficient equal)

Now subtracting Equation 1 from Equation 2

20w+12c=60 -(2w+ 12c=33)

We get 20w-2w=60-33 (12c gets cancelled out)

18w=27

w=$ 1.5 (cost of walnut is $1.5/pound)

putting the value of w in either of the equation we get c as 2.5$

Hence the total cost of one pound each of walnut and chocolate is $2.5+$1.5= $4

8 0

3 years ago

Hailey is scuba diving in the ocean. Her boat is anchored 300 feet away at a 30° angle of depression. If her diving partner is 2

victus00 [196]

Answer:

B)313 ft

Step-by-step explanation:

Hello,I think I can help you with this

to solve this you need to find all the measures of the rigth triangle formed by Hailey, the boat, and the point on the surface of the sea just above the head of Hailey

Step 1

define

triangle

Hypotenuse=300 feet

opposite side=y

adjacent side=x

angle of depression =30°

Step 2

find the distances

$cos\alpha =\frac{adjancent\ side}{hypotenuse}\\\\hypotenuse*cos\alpha =adjancent\ side\\ so\\x=adjancent\ side=hypotenuse*cos\alpha\\\\x=300\ft*cos 30 \\\\x=259.8076$

so, the point on the surface of the sea just above hailey is 259.8076 ft from the boat

$sin\alpha =\frac{opposite\ side}{hypotenuse}\\\\hypotenuse*sin\alpha \\y=opposite\ side\\ so\\y=opposite\ side=hypotenuse*sin\alpha\\\\y=300\ft*sin 30 \\\\y=150$

hailey is at a depth of 150 feet

Step 3

now,her partner is 25 feet directly below her,it is

partner's depth is =hailey is at a depth of 150 feet+25

Y=175

he is at the same distance from de boat ( horizontal),because it is the same point in the sea surface.

X=259.80

Step 4

to find the distance between the partner and the boat we can use

Pythagoras theorem

$adjacentside^{2} +opposite side^{2} =hypotenuse^{2} \\\sqrt[2]{adjacentside^{2} +opposite side^{2}} =Hypotenuse\\Hypotenuse=\sqrt[2]{175^{2} +259.8076^{2}} \\\\Hypotenuse=313.24 ft$

so, Hailey's diving partner is 313 ft away from the boat(B)

Have a great day.

3 0

3 years ago

Please help right now please

const2013 [10]

Answer:

A or 24

Step-by-step explanation:

In PEMDAS you do the steps from left to right in the name.

So first, you do 3 * x and x = 6 so 3 * 6 which is 18.

then 18 + y and y = 8 so 26

26 minus 2 is 24.

Hope this helped~ ^-^

4 0

3 years ago

Solve the system of equations below by graphing them please

nikklg [1K]

Answer: (2, 1)

_____
It is, of course, much easier to let a graphing utility do the work.

3 0

4 years ago

Which set of shapes appear to be similar?<br><br><br><br> (Answers in picture)

12345 [234]

Answer: D

Step-by-step explanation: The Right Shape On D Is Just Smaller Than The Left One

8 0

3 years ago