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Nuetrik [128]
3 years ago
7

four apples and one banana cost £1.40 seven apples and one banana cost £2.00 work out the cost of an apple and the cost of a ban

ana .
Mathematics
1 answer:
beks73 [17]3 years ago
8 0

Answer:

  • apple: £0.20
  • banana: £0.60

Step-by-step explanation:

Let "a" and "b" represent the costs of one apple and one banana, respectively. Then the purchases can be written ...

  4a +b = 1.40

  7a +b = 2.00

Subtracting the first equation from the second gives ...

  (7a +b) -(4a +b) = (2.00) -(1.40)

  3a = 0.60 . . . . simplify

  a = 0.20 . . . . . .divide by 3

Using this in the first equation, we have ...

  4(0.20) +b = 1.40

  b = 0.60 . . . . . subtract 0.80

The cost of an apple is £0.20; the cost of a banana is £0.60.

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7 0
2 years ago
IF CORRECT ILLL BIVE U BRAINLIEST NEED FAST PLS
Montano1993 [528]

Answer: The first one -4x-3<13

Step-by-step explanation: because they didn't really tell us what happened to the 3 just that the 3 disappeared and the 13 became 16

5 0
1 year ago
Find m∠1 and m∠3 in the kite. The diagram is not drawn to scale.
Alex_Xolod [135]

Answer:

m<1 = 39°

m<3 = 180-90-39= 51°

Step-by-step explanation:

Lines AC and DB are diagonals and always meet at right angles.

Kites have two sets of equivalent adjacent sides and one set up of congruent opposite angles.

3 0
2 years ago
Please help with the question in the picture!
Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

Given-

∠ A = 90°, sin C = 3 / 5

<u>METHOD - I</u>

<u><em>Sin² C + Cos² C = 1</em></u>

Cos² C = 1 - Sin² C

Cos² C = 1 - \frac{9}{25}

Cos² C = \frac{25 - 9}{25}

Cos² C = \frac{16}{25}

Cos C = \sqrt{\frac{16}{25} }

Cos C = \frac{4}{5}

As we know that

Tan C = \frac{Sin C}{Cos C }

<em>Tan C = \frac{\frac{3}{5} }{\frac{4}{5} }</em>

<em>Tan C = \frac{3}{4}</em>

<u>METHOD - II</u>

Given Sin C = \frac{3}{5} = \frac{Height}{Hypotenuse}

therefore,  

AB ( Height ) = 3; BC ( Hypotenuse) = 5

<em>∵ ΔABC is Right triangle.</em>

<em>∴ By Pythagorean Theorem-</em>

<em>AB² + AC² = BC²</em>

<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>

<em>AC² = 5² - 3²</em>

<em>AC² = 25 - 9</em>

<em>AC² = 16</em>

<em>AC  ( Base) = 4</em>

<em>Since, </em>

<em>Tan C = \frac{Height}{Base}</em>

<em>Tan C = \frac{AB}{AC}</em>

<em>Hence Tan C = \frac{3}{4}</em>

<em />

4 0
2 years ago
A cruise ship is 542 feet long. Susie is making a scale model of the boat to place in the front hall display case. The display c
s2008m [1.1K]

Answer:

the answer is c. 1 inch=27 feet

Step-by-step explanation:

32 is to big and 22 is to small but 27 will fit perfectly because its 20 inches

3 0
3 years ago
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