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Daniel [21]
3 years ago
9

Sharif likes exersicing.He goes hill-climbing every 12 days anf goes swimming every 8 days.If je goes hill-climbing and swimming

today,how many days later will he go hill-climbing and swimming on the same day?
Mathematics
2 answers:
8_murik_8 [283]3 years ago
8 0
He wil goes to Hill-climbing and swimming on the same day, after 24 days.

We should find out the Least Common Factor (LCM) of 12 and 8, and you will get 24.
topjm [15]3 years ago
5 0
This is a lowest common multiple question.
to find the lowest common multiple, you need to find the prime factors of the two numbers:
8 = 2 , 2 , 2
12 = 2 , 2 , 3
Take out duplicates:
2,2,2,3
and multiply them together:
2*2*2*3 = 24
and that is your answer.
Easy peasy.
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Find the sum of the first 47 terms of the following series, to the nearest integer.
Leokris [45]

Answer:

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is  16 - 12 = 4

The difference between subsequent terms, 16, and 20 is  20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ]

(47/2)*(2*12+(47-1)*4)

The sum of the first 47 terms is therefore given as follows;

S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

5 0
2 years ago
URGENT I HAVE ALMOST 0 TIME LEFT I NEED LAST MINUTE HELP
jonny [76]

Answer:

The zeros are the points where the parabola intercepts the x-axis.

\sf x = 7 \implies x - 7 = 0

\sf x = 1 \implies x - 1 = 0

\sf \implies y = a(x - 7)(x - 1)  where a is some constant

If the parabola passes through point (3, 4) then:

\sf \implies a(3 - 7)(3 - 1) = 4

\sf \implies a(-4)(2) = 4

\sf \implies -8a = 4

\sf \implies a = -\dfrac12

So the equation of the parabola is:

\sf y = -\dfrac12(x - 7)(x - 1)

Or in standard form:

\sf y = -\dfrac12x^2+4x-\dfrac72

7 0
2 years ago
Anybody can help on anyone of these please quick !!!
malfutka [58]
19) B
20) D
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22) B
23) C
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8 0
3 years ago
Triangle P Q R is shown. The length of P Q is 17, the length of Q R is 15, and the length of P R is 14. Law of cosines: a2 = b2
Maksim231197 [3]

Answer:

P = 57°

Step-by-step explanation:

Given the following :

PQ = 17

QR = 15

PR = 14

Using the cosine formula since the length of the three sides are given:

a2 = b2 + c2 – 2bccos(A)

To find P:

QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)

15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)

225 = 289 + 196 - 476 cosP

476*CosP = 485 - 225

476*CosP = 260

CosP = 260/476

CosP = 0.5462184

P = Cos^-1(0.5462184)

P = 56.892029

P = 57°

8 0
3 years ago
A certain plant grows 1 3/4 inches every week how long will it take the plant to grow 9 1/4 inches. HELPPP I’m dumb
GREYUIT [131]
It only takes 13/4 days inn week
3 0
3 years ago
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