Dion bought 3 pounds of oranges and 2 pounds of grapefruit. Write an expression to represent the amount of money Dion spent on the fruit. Then evaluate the expression. How much did Dion spend?

Given:

f(g)=(-10*g^2+17*g-6) / (-15*g^2-2*g+24)

Factor both numerator and denominator:

f(g)=-(2g-1)(5g-6)/(-(3g+4)(5g-6))

if 5g-6≠0, we can cancel out the factor (5g-6).

We can also cancel the negative signs to simplify to

f(g)=(2g-1)/(3g+4)   on condition that g≠6/5

Mrs. Chauke balance at 25th of march is  ninety six thousand, one hundred and twenty.

Data;

Assuming that Mrs. Chauke has received monthly income and didn't touch it till march 25th, we can easily calculate what her balance would be by knowing how many months interval are there from January to March which is 3 and then we multiply her monthly income by 3 to know her balance at that day.

This is calculated as

[tex]32040 * 3 = 96120[/tex]

Mrs. Chauke balance at 25th of march is ninety six thousand, one hundred and twenty.

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Answer:

d. A line of credit backed by collateral.

Step-by-step explanation:

i just took the test

Answer:

well this is just 3 1/4 - 1 3/4

Step-by-step explanation:

1 2/4 (or just 1 1/2)

Ari will be a teenager in 1 3/4 years His little sister anna will be one in 3 1/4. The longer anna has to wait than ari is 1 2/4.

We have given that,

Ari will be a teenager 1 3/4 years His little sister anna will be one in 3 1/4 years

We have to determine the how long does anna have to wait than ari

well , this is just 3 1/4 - 1 3/4.

The process of taking a matrix, vector, or other quantity away from another under specific rules to obtain the difference.

Therefore we get the

3 1/4 - 1 3/4=1 2/4 (or just 1 1/2).

Therefore the longer anna has to wait than ari is 1 2/4.

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Answer: $752

Step-by-step explanation:

Last week: 23

This week: 23 + 18 = 41

Total = 41 + 23 = 64

64 x 11.75 = $752

Answer:

The multiplier for 3 inches to get to 24 is 8.

If you multiply 3 x 8 to get 24, you need to multiply 4 ft x 8 to keep proportion and this will give you 32ft.

Answer:

A) The sequence is geometric because the sequence is increasing by a factor of 2 being multiplied to each term, when ascending from left to right.

B) [tex]a_{n} = 5(2)^{n-1}[/tex]

C) [tex]a_{n} = a_{n-1} *(2) ;a_{1}= 5[/tex]

Step-by-step explanation:

The sequence is multiplying each term by a factor of 2.

5*2=10

10*2=20

20*2=40

Call the number : x

(1/3)x + 5 = x-6

=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6

=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.

Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2

33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)

If she gave 15 cookies to her neighbor, 50 cookies had aunt sue bake altogether.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, Aunt sue baked a batch of cookies and shared 3/10 of them with her neighbor and she gave 15 cookies to her neighbor.

We have to solve the following problem by applying the arithmetic operation in the following fractions.

Suppose there is x number of cookies aunt sue bake altogether,

3/10 of x = 15

3x/10=15

x=(10×15)/3

x=150/3

x=50

Thus, if she gave 15 cookies to her neighbor, 50 cookies had aunt sue bake altogether.

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Answer:

1.B 2.B and C

Step-by-step explanation:

because equations are equal on both sides of the equal sign

Answer:

[tex]\sf y = -\frac{2}{3}x +490[/tex]

Explanation:

[tex]\sf 2x + 3y = 1470[/tex]

[tex]\sf 3y = 1470 - 2x[/tex]

[tex]\sf y = \frac{1470 - 2x}{3}[/tex]

[tex]\sf y = -\frac{ 2x}{3} +\frac{1470}{3}[/tex]

[tex]\sf y = -\frac{2x}{3} +490[/tex]

[tex]\sf y = -\frac{2}{3}x +490[/tex]

slope intercept form: y = mx + b

where m is slope and b is y-intercept.

Slope intercept form of a line

Lets do

[tex]\\ \rm\Rrightarrow 2x+3y=1470[/tex]

[tex]\\ \rm\Rrightarrow 3y=-2x+1470[/tex]

[tex]\\ \rm\Rrightarrow y=\dfrac{-2}{3}x+490[/tex]

Based on the given data, the center of measure that should be used is the Median because the data distribution is skewed.

First order the dataset:

0, 0, 2, 2, 2, 2, 3, 3, 4, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8

We can see that the data is skewed.

When dealing with skewed data, the median is the best measure because it would not be influenced by the skew in the data set.

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Answer:

Step-by-step explanation:

median

skewed

Answer:

HTML Formatting basically refers to the enhancing of text in order to increase the visual appeal. HTML provides a range of formatting tags that can be used to make the text attractive to the users. There are many options available that can be used for formatting, just like any other text editor.

Step-by-step explanation:

Answer:

they will travel about 131.18 yards.

Step-by-step explanation:

Answer:

131.18 yards

Step-by-step explanation:

Answer:

24 miles

Step-by-step explanation:

Since 4.5 divided by 0.75 is 6, 6 times 4 is 24.

Answer:  (1) (2) (4)

Step-by-step explanation:

Answer:

150°

Step-by-step explanation:

To find the sum of all the interior angles in a regular polygon, us this formula, where n is the number of sides: (n-2)*180

(12-2)=10

10*180=1800

Now we have the sum of all the angles. But we aren't done yet! We have to divide this value by the number of sides to find the measure of one angle.

So,

1800/12=

150

Hope this helps!

Answer:

150 degrees.

Step-by-step explanation:

So every polygon's interior angles will always add up to a multiple of 180 degrees depending on the amount of sides, if it's a regular polygon all interior angles will be the same.

(3 sides = 180 degrees, 4 sides = 360 degrees, 5 sides = 540 degrees etc.)

12 sides will always add up to 1800 degrees.

1800 / 12 = 150

Therefore, each interior angle is 150 degrees.

Answer:

(0, - 7 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (- 2, - 4 ) and (x₂, y₂ ) = (2, - 10 ) , then

midpoint = ( [tex]\frac{-2+2}{2}[/tex], [tex]\frac{-4-10}{2}[/tex] ) = ( [tex]\frac{0}{2}[/tex] , [tex]\frac{-14}{2}[/tex] ) = (0, - 7 )

Step-by-step explanation:

Break down the word problem.

1 over 3 multiplied by n equals 6.

[tex] \frac{1}{3} \times n = 6[/tex]

Multiply each side by 3 to eliminate the fraction:

[tex]n = 18[/tex]

Answer:

0-25=1

25-50=3

50-75=4

Step-by-step explanation:

To create a histogram, we need to group the data into intervals or bins and count the number of data points that fall into each bin. We can then plot the counts as bars on a graph.

A histogram is a graphical representation of the distribution of a dataset. It consists of a set of contiguous rectangles, where the width of each rectangle represents a range of the values, and the height of each rectangle represents the frequency or count of the number of data points that fall within that range.

One way to choose the bin size is to divide the range of the data (the difference between the maximum and minimum values) by the desired number of bins. For this example, we'll choose a bin size of 10 and create bins from 20 to 70.

Using this bin size, we can group the data into the following bins:

20-29: 2

30-39: 0

40-49: 3

50-59: 3

60-69: 1

To create the histogram, we can plot these counts as bars on a graph, with the bins on the x-axis and the counts on the y-axis.

The histogram shows that the most common diagonal length for televisions at Electronic Emporium is between 40 and 59 centimeters, with fewer televisions having diagonal lengths outside of this range.

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The constant term which is necessary to complete the perfect square trinomial pictured in the algebra tiles is 16.

A trinomial which is expressed as the square of the binomial equation is a perfect square trinomial.

Let the constant term which is necessary to complete the perfect square trinomial pictured in the algebra tiles is P. Thus the trinomial can be given as,

[tex]x^2+8x+P[/tex]

Now, the algebra tiles used to represent the algebraic expression in the table form. The shape of algebra tile is square and rectangle, in which the variables represented.

The two equal factor with the middle terms being 8x can be for a trinomial (x+4). Thus,

[tex]x^2+8x+P=(x+4)^2\\x^2+8x+P=x^2+8x+4^2\\x^2+8x+P=x^2+8x+16[/tex]

Comparing both sides, we get,

[tex]P=16[/tex]

Thus, the constant term which is necessary to complete the perfect square trinomial pictured in the algebra tiles is 16.

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But the correct usage is that 1:2 means a ratio of 1 to 2, meaning 1 part of something and 2 parts of something else (not out of 2 parts total) ...

Answer:

the correct usage is that 1:2 means a ratio of 1 to 2, meaning 1 part of something and 2 parts of something else (not out of 2 parts total)

Step-by-step explanation:

Answer:

You would take 27.50, and whats 5% of that?

Answer would be about 1.4.

Times that by 4 and there is your answer :)

Answer:

Let m and r represent the maximum speeds of Malcolm and Ravi in km/h, respectively.

... (m + r)/2 = 260 . . . . . the average of their speeds was 260 kph

... 2m = r + 80 . . . . . . . . double Malcolm's speed is 80 kph more than Ravi's

The second equation can be solved for r and that expression substituted into the first equation.

... 2m - 80 = r . . . . . . . . . . . an expression for r from the second equation

... (m + 2m - 80)/2 = 260 . . . the result of substituting that into the first

... 3m - 80 = 520 . . . . . . . . multiply by 2

... m = 200 . . . . . . . . . . . . . add 80 and divide by 3

... 2·200 - 80 = r = 320 . . .substitute the value of m into the expression for r

Malcolm's maximum speed was 200 km/h.

Ravi's maximum speed was 320 km/h.

Step-by-step explanation:

Answer:

It is also called Archimedes constant which was named after the Greek mathematician, Archimedes, who created an algorithm to approximate the pi value. The value of pi is irrational, which means that the count of digits after the decimal point is infinite.

I hope this helped (;

Answer:

of a Circle. The circumference divided by the diameter of a circle is always π, no matter how large or small the circle is! To help you remember what π is ... just draw this diagram.

...

Step-by-step explanation:

The approximate diameter of this circle is equal to 6.4 cm.

Given the following data:

To determine the approximate diameter of this circle:

Mathematically, the circumference of a circle is given by the formula:

[tex]Circumference = \pi D[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]20\frac{4}{35}=\frac{22}{7} D\\\\\frac{704}{35} =\frac{22D}{7} \\\\704\times 7=22D \times 35\\\\4928=770D\\\\D=\frac{4928}{770}[/tex]

D = 6.4 cm.

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Answer:

6.4 =  6 2/5

Step-by-step explanation:

i took the test

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The solution of 0.0973 when rounded to 1 significant figure is 0.1.

Rounding off numbers means adjusting a number simpler by adjusting it to its nearest place according to certain rules.

In rounding off number, the place value starts from tens place.

Rounding to the nearest whole number: Look at the digit immediately to the right of the decimal point. If it is 5 or greater, round the number up. If it is less than 5, round the number down. For example, rounding 3.25 to the nearest whole number gives 3, while rounding 3.75 gives 4.

When 0.0973 is rounded to 1 significant figure, the digit at the hundredth place is observed.

Since the digit at the hundredth place is greater, than 5. So, the number is rounded up which results to 0.1

Thus, the round off of 0.0973 to 1 significant figure is 0.1

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Answer:

The two numbers are 36 (62) and 49 (72).

Step-by-step explanation:

Answer:

6 and 7

Step-by-step explanation:

consider perfect squares either side of 42, that is 36 and 49 , then

36 < 42 < 49 , so

[tex]\sqrt{36}[/tex] < [tex]\sqrt{42}[/tex] < [tex]\sqrt{49}[/tex] , that is

6 < [tex]\sqrt{42}[/tex] < 7

Answer:

Explain in your own words how knowledge of algebra is important when solving trigonometric equations.

Step-by-step explanation: