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3 years ago

Seb bought 2 apples and 3 pears.

1 answer:

5 0

2a + 3p = 1.59

a = 0.24

Plug it in our equation:

2(0.24) + 3p = 1.59

Multiply:

0.48 + 3p = 1.59

Subtract 0.48 to both sides:

3p = 1.11

Divide 3 to both sides:

p = 0.37

So one pair costs £0.37

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3 years ago

Write three expressions that are the equivalent of 5of 100, 000 , first as a numberthen in wordsfinally in scientific notation

disa [49]

Answer: 1) 500, 000

2) Five hundred thousand

3) $5\times10^5$

Step-by-step explanation:

To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )

5 of 100, 000 = 5 x 100, 000 = 500, 000

In word - Five hundred thousand [ as place value of 5 = hundred thousand]

In scientific notation, $500, 000=5\times10^5$

Hence, the required expressions:

1) 500, 000

2) Five hundred thousand

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4 years ago

In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AH=4 and HC=1, find BH.

Rudik [331]

Answer:

Length of BH is 2 units.

Step-by-step explanation:

We have, ΔABC with ∠ABC = 90° and an altitude BH.

Also, it is given that the length of sides AH is 4 units and HC is 1 units.

Since, the 'Altitude Rule' states that 'the length of the altitude is the geometric mean of the line segments it bisects'.

So, we get that,

$BH^{2}=AH\times HC$

i.e. $BH^{2}=4\times 1$

i.e. $BH^{2}=4$

i.e. $BH=\pm 2$

Since, the length of the side cannot be negative.

So, length of BH is 2 units.

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4 years ago

If you divided 48 objects into sets of 7, how many sets of 7 could you make, and how many are left over?

Klio2033 [76]

Answer:

Step-by-step explanation:

No. objects in one set = 7

Let there be n set

Then, No. objects in n set = 7*n = 7n

Given that total no of objects are 48

Thus,

7n = 48

n = 48/7 = (42+6)/7 = 42/7 + 6/7 = 6 + 6/7

n = 6 + 6/7

Thus, there will be 6 set which has 7 objects. fraction means one set is fraction 6/7 but set cannot be in fraction hence negating it.

Now, total objects in 6 sets = 6*7 = 42.

No. of objects left = 48 - 6 = 6

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4 years ago