What is the place value of the 3 in the number 6,370,524,891?​

Step-by-step explanation:

Note that t = d/r where t is time, d is distance, and r is rate/speed.

We can come up with two equations with the information given and the equation:

t_1 hr = (10 km)/(x km/hr)

t_2 hr = (12 km)/(x - 1 km/hr)

where t_1 is the time taken to run the 10km the first day and t_2 is the time taken to run the 12km the second day.

We know that 30 minutes is 1/2 of an hour and that t_1 is 30 minutes less than t_2 (as stated in the question). Therefore, we can write:

t_1 = t_2 - 1/2

Substituting the values we derived:

(10 km)/(x km/hr) = (12 km)/(x - 1 km/hr) -1/2

Then we can evaluate by multiplying by 2x(x-1) on both sides:

20(x-1) = 24x - (x)(x-1)

20x - 20 = 24x - x^2 + x

x^2 -5x -20 = 0

And we are done.

I hope this helps! :)

An equation is formed when two equal expressions. The equation for the time can be written as (12/x-1)-(10/x)=0.5. The value of x is 7.623.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) Given Alfonso runs 10 km at an average speed of x km/h. Therefore, the time taken by Alfonso to rum 10km is 10/x hour.

Also, The next day he runs 12 km at an average speed of (x - 1) km/h. Therefore, the time taken by Alsonso to run 12km is 12/(x-1) hour.

Now, the time taken for the 10km run in 30minutes(0.5 hours) is less than the time taken for the 12 km run. Therefore, we can write,

[tex]\dfrac{12}{(x-1)}-\dfrac{10}{x} =0.5[/tex]

The equation for the time can be written as (12/x-1)-(10/x)=0.5.

B.) The value of x can be written as,

[tex]\dfrac{12}{(x-1)}-\dfrac{10}{x} =0.5\\\\12x-10(x-1)=0.5 \times x \times (x-1)\\\\12x - 10x +10 = 0.5x^2-0.5x\\\\2x+10 = 0.5x^2-0.5x\\\\0=0.5x^2 - 2.5x -10\\\\x = -2.623, 7.623[/tex]

Since the time can not be negative. Hence, the value of x is 7.623.

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Based on the information presented, it can be inferred that Mia made 8 baskets last Saturday.

To calculate the number of baskets Mia made last Saturday we must take into account the following information:

To calculate the number of baskets Mia made, we must divide 24 by 3 to find the number of baskets she made last Saturday.

So, it can be inferred that Mia made 8 baskets last Saturday.

Learn more about division in: https://brainly.com/question/369266

Answer:

the solution is (3,-5)

Step-by-step explanation:

Graph the points then get the solution

Answer:

the answer(2, -5)

Step-by-step explanation:

hope i helped u

Answer:

it is d 100%

Step-by-step explanation:

Answer:

its D i would show work but ion have my phone i did this before

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer: 17/24

Step-by-step explanation:

let x be the fertilizer used in the flower bed

to find how much he has left

1 3/8 - x = 2/3

the fraction 1 3/8 we can write as 11/8

11/8 - x = 2/3

11/8 -2/3= x

we need the common denominator between 8 and 3, which is 24

33/24-16/24=17/24

Answer:

The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].

Step-by-step explanation:

Let [tex]\vec u = (x,y)[/tex]. From Trigonometry, we remember the following definitions for the trigonometric ratios, dimensionless:

[tex]\sin t = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)

[tex]\cos t = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

[tex]\tan t = \frac{y}{x}[/tex] (3)

If we know that [tex]x = -5[/tex] and [tex]y = -4[/tex], then the trigonometric ratios are, respectively:

[tex]\sin t = \frac{-4}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]

[tex]\sin t \approx -0.625[/tex]

[tex]\cos t = \frac{-5}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]

[tex]\cos t \approx -0.781[/tex]

[tex]\tan t = \frac{-4}{-5}[/tex]

[tex]\tan t = 0.8[/tex]

The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].

Answer:

????????

well the unitrate is 4.20 sculpture in a day

So maybe just find the ones that is not equal to this :)

Step-by-step explanation:

57+90+x=180

147+x=180

x=33

<4= 33°

Answer:

0.15

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

Answer: 8 8/9

Step-by-step explanation:

From the question, we are informed that Mark was remodeling his house and that he took 26 2/3 square feet from 3 different rooms.

The average change in square footage per room will be calculated as:

= 26 2/3 ÷ 3

= 80/3 × 1/3

= 80/9

= 8 8/9

Therefore, the answer is D.

Answer:

2

Step-by-step explanation:

the number right next to the x is the slope, if there is no number, then the slope is 1

your equation in a y = mx + b format"

Answer:

at -6

Step-by-step explanation:

hope that help

Answer:

x=-3

Step-by-step explanation:

[tex]\sqrt{x+7}-x=5\\\sqrt{x+7}=5+x\\x+7=x^2+10x+25\\x^2+9x-18=0\\(x+3)(x+6)=0\\x=-3, x=-6\\\sqrt{-3+7}-(-3)=5\\\sqrt{-6+7}-(-6)=7=5[/tex]

x=-6 is extraneous because 7 does not equal to 5

x=-3 is the answer because 5=5

Answer:

A

Step-by-step explanation:

Answer:

∞

Step-by-step explanation:

Answer:

0.08, %10, 0.12 and 340

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

And you didnt give the equation for FDE but substitute 11 in for X

Answer:

x is less than 8

Answer:

ED is congruent to IH

ED is congruent to IH

Answer:

Bet

Step-by-step explanation:

Answer:

Your on

Step-by-step explanation:

Does someone have a fennec in rocket league and someone who can trade it on switch?

Answer:

3x-4y=-9

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{4}x+\frac{9}{4}[/tex]

Step-by-step explanation:

[tex]y-6=\frac{3}{4}(x - 5)[/tex] to y = mx  + b

[tex]y-6=\frac{3}{4}(x-5)\\\\Distribute;\\\\y-6=\frac{3}{4}x-\frac{15}{4} \\[/tex]

Add 6 to both sides;

[tex]-\frac{15}{4}+6 =-\frac{15}{4}+\frac{6}{1} \\\\\frac{-15+24}{4} =\frac{9}{4}[/tex]

Answer:

1/8 + 1/8 + 3/8 + 3/8 = 2/8 + 6/8 = 8/8 = 1

So the answer would be 1.

Answer:

It is 4

Step-by-step explanation:

Answer:

Work shown below!

Step-by-step explanation:

[tex]\sqrt{-18}=\sqrt{18i^{2} } =\sqrt{2*9i^{2} }=3i\sqrt{2}[/tex]

[tex]2\sqrt{-16} =2\sqrt{16i^{2} } =4i*2=8i[/tex]

Answer:

12+20=32

32/2=16

20-16=4

Vertex x-int is 4.

Step-by-step explanation:

Answer:

Draw the perpendicular bisector of each line of each line.

Step-by-step explanation:

Because this is a right triangle, the circumcenter will always be located at the midpoint of the hgypotenuse.   Locate those coordinates and you have the circumcenter.