Write 5 600 000 in standard form.

The number of students in each bus are 54 students .

Given that, 331 students went on a field trip. Six buses were filled and 7 students traveled in cars.

Now you may get that only 7 students out of 331 are travelled in cars whereas others travelled by bus.

number of total students travelled by bus are 331-7 = 324 students

Therefore 324 students travelled in 6 buses.

Number of students travelled in each bus = 324/6 = 54 students.

Therefore number of students travelled in each bus is 54 students .

verification:

number of buses = 6

number of students in each bus = 54

Therefore total number of students in 6 buses = 6*54 = 324 students.

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Step-by-step explanation:

1. [tex] \frac{48}{8} +\frac{44}{8}= 11 \frac{1}{2} [/tex]

[tex]2.\frac{10}{10} + \frac{30}{10} = 4[/tex]

[tex]3.\frac{6}{4} + \frac{2}{3} = 2 \frac{1}{6}[/tex]

[tex]4.\frac{1}{8} + \frac{2}{16} = \frac{1}{4}[/tex]

[tex]5.\frac{4}{4} + \frac{14}{16} = 1 \frac{7}{8}[/tex]

[tex]6.\frac{4}{3} + \frac{2}{9} = 1 \frac{5}{9}[/tex]

[tex]7.\frac{2}{4} + \frac{4}{8} = 1[/tex]

[tex]8.\frac{20}{5} + \frac{15}{5} = 7[/tex]

[tex]9.\frac{2}{4} + \frac{4}{6} = 1 \frac{1}{6}[/tex]

[tex]10.\frac{4}{7} + \frac{6}{21} = \frac{6}{7}[/tex]

[tex]11.\frac{4}{2} + \frac{16}{18} = 2 \frac{8}{9}[/tex]

Answer: Simplify the expression.

Scientific Notation:

4 ⋅ 10^7

Expanded Form:

40000000

Step-by-step explanation:

by doing 2.7*10^(5) divided by 6.75*10^(3)

you get the answer or now saying its

4 ⋅ 10^7 miles away basically. hope this helped

Answer X=43 ,4X=172, (8X-3)=101

Step-by-step explanation:

Perimeter = addition of all sides ie;

556=X+4X+8X-3

556=13X-3

556+3=13X

559/13=13X/13

X=43

replace x with 43 to get their

The number of boxes of candy that Mariana sells is 3/10.

A fraction is a non integer that is made up of a numerator and a denominator. An example of a fraction is 3/10. 3 is the numerator and 10 is the denominator.

In order to determine the boxes of candy that Mariana sold, multiply the fraction of boxes that Mariana sold by the number of boxes of candy that Juan sold.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign used to represent multiplication is x.

Boxes that Mariana sells = fraction of boxes that Mariana sells x number of boxes that Juan sold

1/10 x 3 = 3/10

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Answer: 54

Step-by-step explanation:

2[(4+5)⋅3]

⇒2[9⋅3]

⇒2[27]

⇒54

By solving a system of equations, we can see that the chemist needs to use 375 mL of the 2% acid, and the other 225% of the 10% acid.

Let's define the variables that we will need to write our system of equations:

We know that the chemist wants to make 600mL of a 5% acid solution, so we can write the system of equations:

x + y = 600

x*0.02 + y*0.10 = 600*0.05

If we isolate y on the first equation, then we get:

y = 600 - x

Now we can replace that on the other equation so we get:

x*0.02 + (600 - x)*0.10 = 30

With this, we can get the value of x.

x*0.02 + 60 - x*0.10 = 30

-x*0.08 = 30 - 60 = -30

x = 30/0.08 = 375

So the chemist needs to use 375 mL of the 2% acid, and the other 225% of the 10% acid.

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Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given the function [tex]h(t)=\frac{1}{t+1}[/tex], we can find [tex]h(\frac{1}{2} )[/tex] by substituting [tex]\bf{t=\frac{1}{2}}[/tex].

When t= [tex]\frac{1}{2}[/tex],

[tex]h(\frac{1}{2})[/tex]

[tex]=\frac{1}{\frac{1}{2}+1 }[/tex]

[tex]=\frac{1}{(\frac{3}{2} )}[/tex]

[tex]=\bf{\frac{2}{3}}[/tex]

Additional:

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Answer:

0.2083

Step-by-step explanation:

3 chicken wings he buys after spending  $3.00

When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however, other symbols like the "*" sign are also occasionally used.

Tyshawn spent $23.00 on 23 chicken wings.

Therefore in $1 the chicken wings that can be brought will be
= 23 /23

= 1

As he spent $3.00 on the chicken wings then the quantity that he has brought will be

= $3 * 1

= 3

The number of chicken wings that were brought was 3.

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Using proportions, it is found that the Ruiz family is not getting the most accurate ratio and are losing money, thus the rounding should be realized after the conversion.

The Ruiz family is exchanging Euros for USD dollars, considering the following currency rate:

1 euro = 1.35261 USD.

Considering that the amounts in USD are rounded to the nearest hundredth, the use the following rule

1 euro - 1.35 USD.

It asks if the Ruiz family will be getting the most accurate answer.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we suppose a 1000 euros amount, them:

Hence the Ruiz family is not getting the most accurate ratio and are losing money, thus the rounding should be realized after the conversion.

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Answer:

see explanation

Step-by-step explanation:

the function is positive for values of y above the x- axis

the line goes on forever on the left side and terminates at x = 15 on the right side.

the interval where the function is positive is (- ∞, 15 ]

the x- intercept is where the line crosses the x- axis ( y = 0 )

x- intercept = 15

the y- intercept is where the line crosses the y- axis (x = 0 )

y- intercept = 3

The equations that will represent the reflected function are:

(c)  [tex]f(x)=5(\frac{1}{5})^{-x}[/tex] and;

(d) [tex]f(x)=5(5)^{x}[/tex]

If two functions share the same domain and codomain and have values that are consistent across all domain elements, they are said to be equivalent.

Consider the function,

[tex]f(x)=5(\frac{1}{5})^{x}[/tex]

Now,

Positive x-values and negative x-values are switched by a reflection over the y-axis, which also swaps the values of x and x.

So,

[tex]f(-x)=f(x)[/tex]

The reflection of the function f(x) across the y axis will be:

[tex]f(x)=5(\frac{1}{5})^{-x}[/tex]

Therefore, the equivalent function will be:

[tex]f(x)=5(\frac{1}{5})^{(-1)(x)}[/tex]

[tex]f(x)=5 \times ((\frac{1}{5})^{-1})^{x} \\f(x)=5(5)^{x}[/tex]

Therefore, the equations which represent the function are:

[tex]f(x)=5(\frac{1}{5})^{-x}[/tex] and;

[tex]f(x)=5(5)^{x}[/tex].

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The complete question is mentioned below:

The function [tex]f(x)=5(\frac{1}{5})^{x}[/tex] is reflected over the y-axis. Which equations represent the reflected function? Select two options.

(a) [tex]f(x)=\frac{1}{5}(5)^{-x}[/tex]

(b) [tex]f(x)=\frac{1}{5} \frac{1}{5} [\frac{1}{5} ]^{x}[/tex]

(c)  [tex]f(x)=5(\frac{1}{5})^{-x}[/tex]

(d) [tex]f(x)=5(5)^{x}[/tex]

(e) [tex]f(x)=5(5)^{-x}[/tex]

Answer: They are parallel

Step-by-step explanation:

Turn them both into slope-intercept form:

 y = -x + 8

y = -x - 1

Since the slope on both of them are the same (-1), they are parallel

Answer:

Solve for x: [tex]x = \frac{3y+1}{4y-2}[/tex]

Evaluate x for y = 1: [tex]x = 2[/tex]

Step-by-step explanation:

[tex]Original:y=\frac{2x+1}{4x-3}\\Multiply\ out\ the\ denominator:(4x-3)*y = 2x+1\\Distribute: 4xy - 3y = 2x+1\\Group\ Like\ Terms:4xy-2x = 3y+1\\Factor\ Out\ x: x(4y-2) = 3y+1\\Divide\ to\ get\ x\ alone:x = \frac{3y+1}{4y-2}\\\\Plug\ in\ the\ value\ for\ y:x = \frac{3(1)+1}{4(1)-2}\\Multiply:x = \frac{3+1}{4-2}\\Add:x = \frac{4}{2}\\Simplify/Divide:x=2[/tex]

Answer:

The answer to your question is 42

the answer is 42 because the parentheses around the -6 and the -7 mean to multiply them and that two negatives make a positive so -6 * -7 equals 42

Hope this helps!

Answer:

[tex]5\left(y+5z\right)\left(y-5z\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{The \;given \;equation \;is \; 5y^2-125z^2}[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}5:\quad 5\left(y^2-25z^2\right)\\\\= 5\left(y^2-25z^2\right)[/tex]

[tex]\left y^2-25z^2\right[/tex]
[tex]25z^2 = \left(5z\right)^2[/tex]
==> [tex]\left y^2-25z^2\right = y^2-\left(5z\right)^2[/tex]

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
[tex]y^2-\left(5z\right)^2=\left(y+5z\right)\left(y-5z\right)[/tex]

So the factored expression is
[tex]5\left(y+5z\right)\left(y-5z\right)[/tex]

Answer:

-1/3

Step-by-step explanation:

So we need to find the slope of a line that passes through (6, 1) and (-3, 4).

We know that the line passes through 2 points, and using this information, we can find the slope of this line using our slope formula which is [tex]\frac{y1-y2}{x1-x2}[/tex].

So we can do [tex]\frac{4-1}{-3-6}=-\frac{1}{3}[/tex].

That's your answer.

Let me know if you have any questions

Answer:

d = 510 km

Step-by-step explanation:

She travelled the final 4 hours at a constant speed of 60 km/h.

distance = speed × time

distance = 60 km/h × 4 hours

distance = 240 km for the last 4 hours

She already had travelled 270 km in the first 3 hours.

d = total distance = 270 km + 240 km = 510 km

Answer: d = 510 km

Answer:

Step-by-step explanation:

Time/mph

Answer:

Below

Step-by-step explanation:

b = 180 - 81° (because of the Z angle law)

b = 99°

Answer:

Step-by-step explanation:

We are to evaluate the expression:

[tex]6c + 5d - 4c - 3d + 3c - 6d[/tex]

Where:

[tex]c = 4[/tex], [tex]d = 2[/tex]

Here, we just have to replace the variables with their given values, as shown below:

[tex]6(4) + 5(2) - 4(4) - 3(2) + 3(4) - 6(2)[/tex]

Now, we calculate.

[tex]→24 + 10 - 16 - 6 + 12 - 12[/tex]

Final answer

[tex] = 12[/tex]

Answer:

520

Step-by-step explanation:

10 missed in 100 free throw ( because of 100%)
=> 1 missed in (100/10) free throw
=> 52 missed in (52*100/10) free throw
                             = 520 free throw


Hope it helps!
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The decay rate of a certain new cell phone is 0.333

For given question,

The average lifetime of a certain new cell phone is three years.

The manufacturer will replace any cell phone failing within two years of the date of purchase.

Also, the lifetime of these cell phones is known to follow an exponential distribution.

We need to find the decay rate.

We know that an exponential decay is the process of reducing an amount by a consistent percentage rate over a period of time.

since the average lifetime of a certain new cell phone is three years, the decay rate would be 1/3 = 0.333

Therefore, the decay rate of a certain new cell phone is 0.333

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Answer: h=V/r²

h=4 cm

Step-by-step explanation:

V = r²h solve for h

V/r² = r²h/r²     ==> divide the formula by r² to isolate h

h=V/r²

h=36/(3)²

h=36/9

h=4 cm

Her total commission was $560.

As 10% of the first $1,000, 15% of the next $2,000, and 20% of sales beyond $3,000 are commissions that she receives. She sold $3,400 worth of tires last week.

What does "total commission" mean?

The commission serves as a benefit or an inducement for the worker to close agreements so that the business can increase revenue and profits. The total commission is calculated by multiplying the total sales by the commission percentage.

After dividing the outcome by 100, multiply the sale price by the commission percentage. Perform the subsequent calculation: Each blue gadget costs $70. The salesman receives a 14% commission on each sale, or $9.80.

The percentage or fixed payment connected to a specific number of sales is referred to as a "commission rate." A commission, for instance, can be $30 or 6% of sales.

It is therefore $560.

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Answer:

Step-by-step explanation:

No. It has to be a whole number in order to be an integer, and 12/5 = 2.4, and therefore is not a whole number.