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lubasha [3.4K]
3 years ago
15

Justin and his children went into a grocery store and he bought $18 worth of bananas and mangos. Each banana costs $0.60 and eac

h mango costs $1.50. He bought 2 more bananas than mangos. Graphically solve a system of equations to determine the number of bananas, x, and the number of mangos, y, that Justin bought.
Write an answer in y=mx+b form, please.
Two equations.
Mathematics
1 answer:
Igoryamba3 years ago
7 0

Answer:

x=10 and y= 8.

Step-by-step explanation:

Given that the cost of 1 banana = $0.60

Cost of 1 mango = $1.50.

Total cost= $ 18  

Here, x be the number of bananas and y be the numbers of mangos,

As the number of bananas is 2 more than the number of mangos,

So, x=y+2

\Rightarrow y=x-2 \cdots(i)

Cost of x bananas =\$ 0.60 \times x

Cost of y mangos =\$ 1.50 \times y

Total cost = 0.6x+1.5y

\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).

Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.

Both the graphs intersect at the point (10,8) as shown in the graph.

So, the solution of both the equations is, (x,y)=(10,8). i.e

The number of bananas = x= 10 and

the number of mangos = y = 8.

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In one basketball season, Susan threw the ball and it went in the basket 56 times. If 7/8 of the baskets Susan threw were worth
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Answer:

119

Step-by-step explanation:

Divide the number of baskets (56) by the denominator:

56 ÷ 8 = 7

Multiply by 7 to get the amount of 2 point baskets and multiply by 1 to get the amount of 3 point baskets. (they both add up to 56 baskets)

7 × 7 = 49

7 × 1 = 7

multiply the 49, 2 point baskets by 2 and the 7, 3 point baskets by 3 and add them together to get the total points.

49 × 2 = 98

7 × 3 = 21

98 + 21 = 119

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3 years ago
Triangle DEF is a right triangle. What is the measure of ZEFD?<br> D<br> 57°<br> F<br> E
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Answer:

<h3>                33°</h3>

Step-by-step explanation:

Sum of measures of angles in any triangle is 180°

The maesure of right angle is 90°

So:  m∠EFD = 180° - 90° - 57° = 33°

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at time t=0 particle is projected with a velocity of 2 i m/s from point with position vector ( 10i + 90j ) m/s . the position ve
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These nuts...........................

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Pls can someone help me. I m giving 10 pts . I may mark you as the braniliest
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100 notes were altogether

<em><u>Solution:</u></em>

Given that ratio of the number of $2 notes to the number of $5 notes was 4 : 1

number of $2 notes : number of $5 notes = 4 : 1

Let 4x be the number of $ 2 notes

Let 1x be the number of $ 5 notes

Given that total value of notes is $ 260

Therefore,

$ 2 (number of $ 2 notes ) + $ 5(number of $ 5 notes ) = $ 260

$ 2(4x) + $ 5(1x) = $ 260

8x + 5x = 260

13x = 260

x = 20

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4x + 1x = 4(20) + 1(20) = 80 + 20 = 100

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3 years ago
Margaret is folding paper flowers for an art project.The number of paper flowers she can make varies dicetly with the amount of
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Answer:

  • 168 in 7 hours.

Step-by-step explanation:

<u>We can't multiply.</u>

<u>We got to count up by 12's for each 1/2 hour.</u>

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168.

<u>Simplified:</u>

  • 24, 48, 72, 96, 120, 144, 168.

<u>Estimate:</u>

  • 12 = 1/2 hour
  • 24 = 1 hour
  • 36 = 1 1/2 hours
  • 48 = 2 hours
  • 60 = 2 1/2 hours
  • 72 = 3 hours
  • 84 = 3 1/2 hours
  • 96 = 4 hours
  • 108 = 4 1/2 hours
  • 120 = 5 hours.
  • 132 = 5 1/2 hours
  • 144 = 6 hours
  • 156 = 6 1/2 hours
  • 168 = 7 hours.

Answer is 168.

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2 years ago
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