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3 years ago

Europe has about 730 million people. This is about 207

Mathematics

1 answer:

Vaselesa [24]3 years ago

4 0

Answer:

730 - 207 = n

Step-by-step explanation:

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Identify which values are solutions of 4x-7>=-1

Mrrafil [7]

Answer:

x=1.5

x=1 1/2

Step-by-step explanation:

4x-7>-1

add 7 to both sides

4x=6

divide by 4 on both sides

x=1.5

x=1 1/2

5 0

2 years ago

Given AC with A(3, 4) and C(-9, -2), if B

babymother [125]

Answer:

B = (- 4, $\frac{1}{2}$ )

Step-by-step explanation:

Using the Section formula

$x_{B}$ = $\frac{7(-9)+5(3)}{7+5}$ = $\frac{-63+15}{12}$ = $\frac{-48}{12}$ = - 4

$y_{B}$ = $\frac{7(-2)+5(4)}{7+5}$ = $\frac{-14+20}{12}$ = $\frac{6}{12}$ = $\frac{1}{2}$

Thus coordinates of B = (- 4, $\frac{1}{2}$ )

6 0

2 years ago

A bus with kids and a truck with their bags started moving from the school to the camp at the same time. The speed of the bus wa

lyudmila [28]

The kids have to wait for 1 hour to get their bags.

Step-by-step explanation:

Given that,

A bus with kids and a truck with their bags started moving from the school to the camp at the same time.

The speed of the bus was 60 mph.
It took kids 3 hours to reach the camp.

To find the distance traveled by the bus :

⇒ Distance = Speed × Time

⇒ 60 × 3

⇒ 180 m

∴ The distance is 180 m.

To find the time taken by the truck to reach the camp :

The speed of the truck was 45 mph.
We found the distance as 180 m.

Time taken = distance / speed.

⇒ 180 / 45

⇒ 4 hours.

∴ The time taken by the truck to reach the camp is 4 hours.

To find how long the kids have to wait for their bags :

The time taken by the truck to reach the camp - the time it took for the kids to arrive.

⇒ 4 hours - 3 hours

⇒ 1 hour.

∴ The kids have to wait for 1 hour to get their bags.

7 0

2 years ago

Over the interval [0,2pi), what are the solutions to cos(2x) = cos(x)? check all that apply

kykrilka [37]

$\cos(2x) = \cos(x)$

Solution (1)

$2x = x + 2k\pi$

$2x - x = 2k\pi$

$x = 2k\pi$

for k=0 / for k=1 / for k=-1

x=0 / x=2π / x=-2π

acc / acc / rej

solution (2)

$2x = - x + 2k\pi$

$2x + x = 2k\pi$

$3x = 2k\pi$

$x = \frac{2k\pi}{3}$

for k=0 / for k=1 / for k=-1

x=0 / x=2π/3 / x=-2π/3

acc / acc / rej

Note that i'm trying values of K which make the answer belong to our interval;

So our solution which i will represent as a set is;

S € {0,2π/3,2π}

6 0

2 years ago

A rectangle with length n and height m. A right triangle with hypotenuse n + 1, length n, and height m.

Oksana_A [137]

9514 1404 393

Answer:

C. 12cm

Step-by-step explanation:

The equation for the perimeter of the rectangle is ...

P = 2(L+W)

34 = 2(n +m)

Solving for m, we get

m = 17 -n . . . . . . . divide by 2, subtract n

The Pythagorean theorem gives the relationship between the sides and the hypotenuse

m^2 +n^2 = (n+1)^2

(17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m

289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses

n^2 -36n +288 = 0 . . . . . . . put in standard form

(n -12)(n -24) = 0 . . . . . . . . . factor

n = 12 . . . . . . . . . . n=24 is an extraneous solution here

The value of n is 12 cm.

8 0

2 years ago