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3 years ago

A group of 140 tourists are going on a tour. The tour guide rents 15 vans. Each van holds 9 tourist

1 answer:

3 0

I'll assume the question is whether the tourists will all fit.
15 vans × 9 tourists each van = 135 tourists can fit so he needs another van or 5 of them have to hold on to the roof of the car

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Khi m=4 cho ma trận A= -3 -2m-2 2-2m

andreev551 [17]

Answer:

AM ONLI GR 4 SORI HEHEhehe

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3 years ago

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Integrate t sec^2 (2t) dt

Neporo4naja [7]

F = t ⇨ df = dt
dg = sec² 2t dt ⇨ g = (1/2) tan 2t
⇔
integral of t sec² 2t dt = (1/2) t tan 2t - (1/2) integral of tan 2t dt
u = 2t ⇨ du = 2 dt

As integral of tan u = - ln (cos (u)), you get :

integral of t sec² 2t dt = (1/4) ln (cos (u)) + (1/2) t tan 2t + constant
integral of t sec² 2t dt = (1/2) t tan 2t + (1/4) ln (cos (2t)) + constant
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3 years ago

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Write the standard equation of the circle below.

s344n2d4d5 [400]

Answer:

The first answer is correct.

(x + 1)^2 + (y - 2)^2 = 1

A circle with the midpoint M(Mx, My) and the radius r can be written as

(x - Mx)^2 + (y - My)^2 = r^2

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3 years ago

Translate the following into an algebraic expression: A number is 30% of 20% of the number x.

bezimeni [28]

Answer: 0.06x

Step-by-step explanation:

An algebraic expression is an expression consist of integer constants, variables, and algebraic operations.

The given statement: A number is 30% of 20% of the number x.

The required algebraic expression would be:

30% of 20% of x

$=\dfrac{30}{100}\times \dfrac{20}{100}\times x$ [we divide a percentage by 100 to convert it into decimal]

$=\dfrac{6}{100}\times x\\\\=0.06x$

Hence, the required algebraic expression would be :

0.06x

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3 years ago

A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag con

telo118 [61]

Answer:

50 yellow marbles.

Step-by-step explanation:

Information:

170 marbles

RED : BLUE : YELLOW

9 : 3 : 5

Solving:

To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.

Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.

The bag contains 170 marbles and the ratio adds up to 17 parts.

We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.

$\frac{170}{17}$ = 10.

1 part = 10

Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.

5 x 10 = 50.

Therefore we have 50 yellow marbles.

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3 years ago