Which statement below is true about the

The population of California is approximately 38,040,000. The population of Texas is about 2.606 × 107. What is the approximate

liubo4ka [24]

Answer:

The total population of these two states is:

$3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41$

Therefore, option C is correct.

Step-by-step explanation:

The population of California is approximately 38,040,000.

The population of Texas is about 2.606 × 10⁷.

Writing the population of California i.e.38,040,000 in scientific notation by moving the decimal point 7 places to the left and dropping the 0's on the right side as they're after the decimal point now.

i.e.

38,040,000 = 3.804 x 10⁷

So adding 3.804 x 10⁷ and 2.606 × 10⁷

i.e.

$3.804\times \:10^7+2.606\times \:10^7$

$\mathrm{Add\:similar\:elements:}\:10^7\times \:3.804+10^7\times \:2.606=10^7\times \:6.41$

Thus, the total population of these two states is:

$3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41$

Therefore, option C is correct.

4 0

4 years ago

PLEASE HELPPPPPP!!!!!!Solve this system of linear equations separate the x-and y-values with a comma

GenaCL600 [577]

Answer:

$x=-6,\\y=6$

Step-by-step explanation:

Rewrite the system of equations as:

$\begin{cases}-13x+2y=90\\-6x+2y=48\end{cases}$

Subtract the second equation from the first to isolate $x$ :

$-13x+2y-(-6x+2y)=42,\\-7x=42, \\\fbox{$x=-6$}$

Plug in $x=-6$ into any of the equations above and solve for $y$ :

$-6(-6)+2y=48,\\2y=12,\\\fbox{$y=6$}$

Verify that the solution pair $(-6, 6)$ works $\checkmark$

Therefore, the solution to this system of equations is:

$x=-6,\\y=6$

8 0

3 years ago

Heather has 500 in your savings account Heather has 500 in your savings account. She draws $20 per week for gas Right an Equatio

vodka [1.7K]

The answer is fourteen/14 weeks

6 0

3 years ago

What is the common factors of 30 25 and 40

sattari [20]

5 and 1 are the common factor between them

7 0

3 years ago

A small radio transmitter broadcasts in a 53 mile radius. If you drive along a straight line from a city 70 miles north of the t

son4ous [18]

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

4 0

4 years ago