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3 years ago

Write the ratio 6.5 : 3.25 in the form n : 1

Mathematics

1 answer:

PIT_PIT [208]3 years ago

8 0

Answer:2:1

Step-by-step explanation:

6.5:3.25

6.5/3.25=2/1

6.5:3.25=2:1

therefore n=2

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Tell whether –4 is a solution of the inequality.<br> —3x + 2 < 15. YES OR NO?

NikAS [45]

Answer:

YES

Step-by-step explanation:

-3 times -4 = 12

12 + 2 = 14

14 < 15

7 0

3 years ago

Boxes of cereal normally cost £2.89 each, but a supermarket has a special offer: Boxes of Cereal 3 for the price of 2

Agata [3.3K]

Answer:

9 boxes

Step-by-step explanation:

Boxes of Cereal 3 for the price of 2, the the price of the 3 boxes of cereals must be : 2 × £2.89 = £5.78

Boxes Megan can buy for the offer = £20 ÷ £5.78 = 3.46 (to 3 s.f.)≈ 3

3 × 3 =9 packs

But they actually only cost : 3 × £5.78 = £17.34

Therefore after buying the offer Megan has £20 - £17.34 = £ 2.66 left, which is not enough to buy a single pack, so the answer is 9.

5 0

3 years ago

Select all the ordered pairs that satisfy the function y = 3x + 5. A. (2, –1) A. , (2, –1) B. ( –3, –4) B. , ( –3, –4) C. ( 4, 1

Ne4ueva [31]

Answer:

B. ( –3, –4)

C. ( 4, 17 )

Step-by-step explanation:

Function: y = 3x + 5

Using method of elimination

A. (2, –1)

x = 2, y = -1

-1 = 3 (2) + 5

-1 ≠ 11

This option is incorrect!

B. ( –3, –4)

x = -3, y = -4

-4 = 3 (-3) + 5

-4 = - 9 + 5

-4 = -4

This option is correct!

C. ( 4, 17 )

x = 4, y = 17

17 = 3 (4) + 5

17 = 12 + 5

17 = 17

This option is correct!

D. ( 3, 8 )

x = 3, y = 8

8 = 3 (3) + 5

8 = 9 + 5

8 = 14

This option is incorrect!

5 0

3 years ago

Two particles travel along the space curves r1(t) = t, t2, t3 r2(t) = 1 + 2t, 1 + 6t, 1 + 14t . Find the points at which their p

GuDViN [60]

Answer:

A) points at which paths intersect : (1,1,1) ; (2,4,8)

B) DNE

Step-by-step explanation:

A) To find the points in which the particle paths intersect, it is necessary to find the values of t for which the three components of both vectors are equal:

$t_1=1+2t_2\\\\t_1^2=1+6t_2\\\\t_1^3=1+14t_2$

you replace t1 from the first equation in the second equation:

$(1+2t_2)^2=1+6t_2\\\\1+4t_2+4t_2^2=1+6t_2\\\\4t_2^2-2t_2=0\\\\t_2(2t_2-1)=0\\\\t_2=0\\\\t_2=\frac{1}{2}$

Then, for t2 = 0 and t2=1/2 you obtain for t1:

$t_1=1+2(0)=1\\\\t_1=1+2(\frac{1}{2})=2$

Hence, for t1=1 and t2=0 the paths intersect. Furthermore, for t1=2 and t2=1/2 the paths also intersect.

The points at which the paths intersect are:

$r_1(1)=(1,1,1)=r_2(0)=(1,1,1)\\\\r_1(2)=(2,4,8)=r_2(\frac{1}{2})=(2,4,8)$

B) You have the following two trajectories of two independent particles:

$r_1(t)=(t,t^2,t^3)\\\\r_2(t)=(1+2t,1+6t,1+14t)$

To find the time in which the particles collide, it is necessary that both particles are in the same position on the same time. That is, each component of the vectors must coincide:

$t=1+2t\\\\t^2=1+6t\\\\t^3=1+14t$

From the first equation you have:

$t=1+2t\\\\t=-1$

This values does not have a physical meaning, then, the particle do not collide

answer: DNE

5 0

3 years ago

The balance of an account earning compound interest is found using the formula A=p(1+r)t , where p is the principal (the amount

Nataly [62]

Hi there

A=1,000×(1+0.08)^(6)
A=1,586.87

5 0

3 years ago