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saw5 [17]
3 years ago
6

Kathie spent $45 on a fruit salad. She bought bananas, mangoes, and apples. Bananas cost $1 per pound, mangoes cost $3 per pound

, and apples cost $2 per pound. Identify the linear equation in three variables that represent this situation.
Mathematics
2 answers:
Sphinxa [80]3 years ago
6 0

Answer:

X * 1 + Y * 3 + Z * 2 = 45

Step-by-step explanation:

we will use bananas, apples and mangoes as the unknowns of the equation.

The value that you multiply to the unknowns will be multiplied by the price that corresponds to it.

These 3 products must be added to result in the total value that is 45.

X * 1 + Y * 3 + Z * 2 = 45

Dennis_Churaev [7]3 years ago
4 0

Answer:

She bought 18 bananas, 23 mangoes and 2 apples.

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k0ka [10]
Answer is on the image

8 0
3 years ago
Look at the sequence in the table.
malfutka [58]

Answer:

A

Step-by-step explanation:

The consecutive values of a_{n} have a common difference d, that is

d = 8 - 3 = 13 - 8 = 18 - 13 = 23 - 18 = 5

This indicates that the sequence is arithmetic.

The recursive formula allows the next term in the sequence to be found from the previous term by adding 5, thus

a_{n} = a_{n-1} + 5 → A

7 0
3 years ago
8(3 – 2x)+ 4(3x – 2)=-16 <br>Can someone solve for x? please​
castortr0y [4]

Answer: x = 8

Step-by-step explanation:

8(3-2x) + 4(3x - 2) = -16

expanding the equation , we have

24 - 16x +12x - 8 = -16

16 - 4x = -16

collecting the like terms

4x = 32

x = 32/4

x = 8

4 0
3 years ago
I need to know how to solve this
dedylja [7]

Answer:

C

Step-by-step explanation:

I think you have to call a = 14/32 and b = 7/4

3a = 3 * 14/32 = 42/32

b = 1 3/4 = (4 + 3)/4 = 7/4

42/32 // 7/4                        Invert and multiply

42/32 * 4/7                         Cancel 4 into 32 and 7 into 42

6/8 = 3/4

I make the answer C

3 0
3 years ago
Read 2 more answers
A surveyor standing on top of a cliff found that the angle of depression of a boat as sea is 22°. if the top of the cliff is 15m
Alex73 [517]

Answer:

From the photo above i interpreted the question and drew a triangle to make it easier to solve

Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)

Tan θ =Opp/Adj

Tan 22°=15/a

Cross Multiply

aTanθ=15°

Divide both sides by Tan 22

aTan22/Tan22 = 15/Tan 22

a = 15/Tan 22°

a = 37.13 m

Therefore the distance between the foot of the cliff to the boat is 37.13 metres

5 0
3 years ago
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