MATHEMATICS HIGH SCHOOL

Kyle has 125 marbles. Fifty of these marbles are red and the reat are other colors. What is the ratio of the nunber of red marbles to the total of marbles expressed in simplest terms?

Answers

Answer 1

Answer:

Answer:

The required simplest form is: $(2)/(5)$

Step-by-step explanation:

We have been given Kyle has 125 marbles.

And 50 out of total 125 are red and rest of them are other colours

that means other colour marble are 125-50=75

we need to find ratio of the number of red marbles to the total of marbles

The ratio is: $(50)/(125)=(2)/(5)$

The required simplest form is: $(2)/(5)$

Answer 2

Answer:

Answer:

Step-by-step explanation:

2/5

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What is the common factors of 96 and 144

Pls explain me how to solve this

Answers

|f(x)| is equivalent to 2 equations
f(x) when f(x) >= 0 OR -f(x) when f(x)< 0

so |x-11| > 4 is equivalent to
x-11 > 4 when x-11 >= 0 OR
-(x-11) > 4 when x-11 < 0

rearrange
x-11 > 4 when x-11 >= 0 we get
x > 15 when x >= 11 ... means x > 11

-(x-11) > 4 when x-11 < 0 we get
x < 7 when x < 11 ...means x < 7

so we have. x < 7 OR x > 11 for this inequality which is not the correct answer

... now... what is solution for |x-11| < 4
you can try to work as above and should come up with the solution just 'the opposite' which is x > 7 OR x < 11 [ 7 < x < 11 ]

then you work for c) and could work or guess for d)

The first four terms of a sequence are shown below:9, 5, 1, −3

Which of the following functions best defines this sequence? (5 points)

A f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
B f(1) = 9, f(n + 1) = f(n) + 4; for n ≥ 1
C f(1) = 9, f(n + 1) = f(n) − 5; for n ≥ 1
D f(1) = 9, f(n + 1) = f(n) + 5; for n ≥ 1

Answers

Answer:

Option A is correct.

Step-by-step explanation:

We have been given the sequence:

9,5,1,-3

We can clearly see that the next digit is four less than the previous digit.

Here first term that is a=9

So, the function would be:

$f(1)=9; f(n+1)=f(n)-4\text{for}n\geq1$

Therefore. option A is correct.

Option B and D are not correct because function is decreasing not increasing.

Option C is not correct because decreasing by 4 not 5.

Answer:

A f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1

Step-by-step explanation:

i took the test and got it right

What are the greatest Common factor of 28 and 32

Answers

The factors of 28: 1; 2; 4; 7; 14; 28
The factors of 32: 1; 2; 4; 8; 16; 32

GCF(28; 32) = 4

What is the compliment of a 45 degree angle

Answers

The complement of 45° is the angle that when added to 45° forms a right angle (90° ).

How to graph y=-4x+2

Answers

Since the graph is linear, just find 3 points
(0,2), (1,-2), (-1,6)
And graph the points than draw a line to connect them

Each week, you drive 150 miles. Your car gets 25 miles to the gallon, and gas prices are $3 per gallon. How much gas money will you spend on gas each week?

Answers

$18

Further explanation

Given:

Every week drive 150 miles.
The car gets 25 miles to the gallon.
Gas prices are $3 per gallon.

Question:

How much gas money will you spend on gas each week?

This is properly a simple multiplication problem that however has to pay attention to the units carefully.

Let's find out how many gallons we need to drive over 150 miles.

$\boxed{ \ = 150 \ miles * (1 \ gallon)/(25 \ miles) \ }$

Units of miles crossed out.

$\boxed{ \ = 150 * (1 \ gallon)/(25) \ }$

$\boxed{ \ = (150)/(25) \ gallon \ }$

Therefore, we need 6 gallons to drive over 150 miles.

And now let's calculate how much gas money will be spent each week.

$\boxed{ \ = 6 \ gallons * (\$ 3)/(1 \ gallon) \ }$

Units of gallon crossed out.

$\boxed{ \ = 6 * \$ 3 \ }$

$\boxed{ \ = $ 18 \ }$

Hence, we will spend $18 on gas each week.

If it's already straightforward in understanding, then we can arrange multiplication operations at once.

$\boxed{ \ = 150 \ miles * (1 \ gallon)/(25 \ miles) * (\$3)/(1 \ gallon) \ }$

$\boxed{ \ = (150)/(25) * \$3 \ }$

150 and 25 can be divided by 25.

$\boxed{ \ = 6 * \$3 \ }$

Once again, we will spend $18 on gas each week.

Learn more

A similar problem and associated with currency exchange rates brainly.com/question/3959122
About unit conversion factor brainly.com/question/5009365
About the simplification of polynomial operations brainly.com/question/1394854

Keywords: each week, you drive 150 miles, car, 25 miles to the gallon, gas prices are $3, per gallon, how much, money will you spend, multiplication, the units

The amount of money spent on gas each week is $\fbox{\begin\n\ \bf \$18\n\end{minispace}}$

Further explanation:

As given in the question $150$ miles of distance is covered by the car each week.

To cover a distance of $25$ miles, $1$ gallon of gas is required for the car and the price for the gas is $\$3$ per gallon.

The objective is to determine the amount of money spent on gas each week.

It is given that to travel $25$ miles, $1$ gallon of gas is required so, for $1$ mile of distance $\left((1)/(25)\right)^(th)$ gallon of gas is required.

This implies that in $\left((1)/(25)\right)^(th)$ gallon of gas the car runs for $1$ mile of distance.

Now if in $\left((1)/(25)\right)^(th)$ gallon of gas $1$ mile of distance is covered so, for $150$ miles of distance the amount of fuel required is calculated as follows:

$\fbox{\begin\n\ (1)/(25)* 150=6\n\end{minispace}}$

From the above calculation it is concluded that with $6]$ gallon of gas $150$ miles of distance is covered.

The price for the gas is $3 per gallon so, the price of 6 gallon of gas is calculated as follows:

$\fbox{\begin\n\ 6* 3=18\n\end{minispace}}$

From the above calculation it is concluded that the cost of $6$ gallon of gas is $\$18$ .

Therefore, the amount of money spent on the gas each week is $\fbox{\begin\n\ \bf \$18\n\end{minispace}}$ .

Summary:

$25\ \text{miles}\rightarrow1\ \text{gallon}\n1\ \text{mile}\rightarrow((1)/(25))^(th)\ \text{gallon}\n150\ \text{miles}\rightarrow((1)/(25)* 150)=6\ \text{gallons}\n1\ \text{gallon}\rightarrow\$3\n6\ \text{gallons}\rightarrow\fbox{\begin\n\ \bf \$18\n\end{minispace}}$

Learn more:

1. A problem on composite function brainly.com/question/2723982

2. A problem to find radius and center of circle brainly.com/question/9510228

3. A problem to determine intercepts of a line brainly.com/question/1332667

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Simplification

Keywords: Simplification, multiplication, miles, distance, price, gas, $3, each week, drives 150 miles, money spent each week, 25 miles per gallon.

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