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3 years ago

191,306 rounded to the nearest thousand

1 answer:

7 0

<span>The next larger thousand is 192,000 .
The next smaller thousand is 191,000 .

191,306 is closer to 191,000 than it is to 192,000 .

So the nearest thousand is 191,000 .

</span>

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A jar has 570 marbles of different colors.The ratio of red to blue marbles are 2:3 and red to green is 4:5.how many marbles of e

iVinArrow [24]

Answer:

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Step-by-step explanation:

Let x be the number of red marbles, y be the number of blue marbles and z be the number of green marbles.

It is given that the total marbles = 570.

Therefore, x + y + z = 570 --- (1)

It is also given that the ratio of red to blue marbles is 2 : 3.

Therefore, x : y = 2 : 3

or 3x = 2y --- (2)

It is also given that the ratio of red to green marbles is 4 : 5.

Therefore, x : z = 4 : 5

or 5x = 4z --- (3)

From (2), $y=\frac{3x}{2}$

From (3), $z=\frac{5x}{4}$

Substituting the above in (1), we get,

$x+\frac{3x}{2} +\frac{5x}{4} =570$

Multiply both sides by 4.

4x + 6x + 5x = 2280

15x = 2280

Divide both sides by 15.

x = 152

Hence,

y = $\frac{3(152)}{2}$

y = 228

z = $\frac{5(152)}{4}$

z = 190

Therefore,

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

<u>Check:</u>

Total number of marbles = 152 + 228 + 190 = 570

Ratio of red to blue marbles = 152 : 228 = 2 : 3

Ratio of red t green marbles = 152 : 190 = 4 : 5

8 0

3 years ago

If the function f(x) is defined by f(x)=3x+5 then which of the following is the solutions to f(x)=23

Tresset [83]

The answer is A) 6. You are trying to have f(x) be equal to 23 meaning you have to set them equal to eachother. 3x+5=23.

Hope that helps.

6 0

3 years ago

Read 2 more answers

Thereisalinethatincludesthepoint(10, 5)andhasaslopeof1 . What isitsequationin slope -intercept form?

Eva8 [605]

Answer:

Step-by-step explanation:

m=1, (10,5)

y=mx+b

5=1(10)+b

5=10+b

b=-5

y=x-5

3 0

3 years ago

автобус прошел 220 км за 27/7 часа.Сколько километров пройдет автобус за 54/7часа с той же скоростью?

egoroff_w [7]

Отвечать:

440 км

Пошаговое объяснение:

Учитывая, что :

Пройденное расстояние за 27/7 часов = 220 км

Расстояние, которое необходимо преодолеть за 54/7 часов, составит x

Следовательно, мы можем настроить перекрестное умножение:

27/7 = 220

54/7 = х

Крест умножить

27/7 х = 220 * 54/7

27x / 7 = 11880/7

3.8571428x = 1697.1428

х = 1697,1428 / 3,8571428

х = 439,99999

x = 440 км

Таким образом, за 54/7 часов будет преодолено расстояние 440 км.

4 0

3 years ago

Chose parameters h and k such that the system has a) a unique solution, b) many solutions, and c) no solution. X1 + 3x2 = 4 2x1

AysviL [449]

Answer:

a) The system has a unique solution for $k\neq 6$ and any value of $h$ , and we say the system is consisted

b) The system has infinite solutions for $k=6$ and $h=8$

c) The system has no solution for $k=6$ and $h\neq 8$

Step-by-step explanation:

Since we need to base the solutions of the system on one of the independent terms ( $h$ ), the determinant method is not suitable and therefore we use the Gauss elimination method.

The first step is to write our system in the augmented matrix form:

$\left[\begin{array}{cc|c}1&3&4\\2&k&h\end{array}\right]$

The we can use the transformation $r_0\rightarrow r_0 -2r_1$ , obtaining:

$\left[\begin{array}{cc|c}1&3&4\\0&k-6&h-8\end{array}\right]$ .

Now we can start the analysis:

If $k\neq 6$ then, the system has a unique solution for any value of $k$ , meaning that the last row will transform back to the equation as:

$(k-6)x_2=h-8\\x_2=h-8/(k-6)$

from where we can see that only in the case of $k=6$ the value of $x_2$ can not be determined.

if $k=6$ and $h=8$ the system has infinite solutions: this is very simple to see by substituting these values in the equation resulting from the last row:

$(k-6)x_2=h-8\\0=0$ which means that the second equation is a linear combination of the first one. Therefore, we can solve the first equation to get $x_1$ as a function of $x_2$ o viceversa. Thus, $x_2$ ( $x_1$ ) is called a parameter since there are no constraints on what values they can take on.

if $k=6$ and $h\neq 8$ the system has no solution. Again by substituting in the equation resulting from the last row:

$(k-6)x_2=h-8\\0=h-8$ which is false for all values of $h\neq 8$ and since we have something that is not possible $(0\neq h-8,\ \forall \ h\neq 8)$ the system has no solution

6 0

3 years ago