what is 3:5 as a fraction?

Answer:

This is most definately an impulse purchase because Ronnie had not planned to buy the stereo speaker, but had a impulse to buy it even when he didn't have the money. Had he already decided he wanted the stereo and went to the store to buy it that would not be an impulse purchase it would be a planned purchase.

Answer:

D

Step-by-step explanation:

The standard form of a linear equation is expressed as

Ax + By = C

The given points that the line passed through are (6, 4) and (- 4, 9)

The first step is to find the slope of the equation. The formula for finding slope is expressed as

slope, m = (y2 - y1)/(x2 - x1)

From the points given,

x1 = 6, y1 = 4

x2 = - 4, y2 = 9

m = (9 - 4)/(- 4 - 6) = 5/- 10

m = - 1/2

The eqyation of a line in the slope intercept form is expressed as

y = mx + c

m = slope

c = y intercept

To find c, we would substitute m = - 1/2, x = 1 and y = 4 into the slope intercept equation. It becomes

4 = - 1/2 * 1 + c

4 = - 1/2 + c

c = 4 + 1/2 = 9/2

Thus, we have

y = - x/2 + 9/2

Converting it to standard form, the standard form is

x/2 + y = 9/2

- x + 2y = 9

where

A = - 1, B = 2 and C = 9

Answer:

the missing blank for forks is 0 and the missing blank for spoons is 20

Step-by-step explanation:

Part i) Simple interest = $600,000.00.

Part ii) Selling price = $2,900,000.00.

Part i) The formula for simple interest is;

SI = PRT/ 100

P = principal amount = $2,000,000.00.

R = rate of interest  = 15%

T = time in years = 2 years.

Put the value in the formula;

SI = ( $2,000,000 × 2 × 15)/100

On simplification;

SI = 600,000

Thus, the simple interest at the end of 2 years is $600,000.oo

Part ii) the selling price

Selling price = cost price + profit

Selling price = cost price + 45%of cost price

Cost price = $2,000,000.00

45%of cost price = 45× $2,000,000.00/100

45%of cost price = 900,000.00

Selling price = $2,000,000.00 + 900,000.00

Selling price = $2,900,000.00.

The the selling price of the fridge is found as $2,900,000.00.

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Answer:

cscu – cotu = sinu/1 + cosu

1/sinu – cosu/sinu= sinu/1 + cosu

1 – cosu/sinu= (sinu)(1 – cosu) ÷ (1 + cosu)(1 – cosu)

1 – cosu/sinu= 1 – cosu/sinu

Hence Proved!!

-TheUnknownScientist 72

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

Answer:

x = 30°

Step-by-step explanation:

l₁ // l₂ and t is transversal. So, corresponding angles are congruent.

         3x - 10 = 2x + 20

Add 10 to both sides,

              3x  = 2x + 20 + 10

             3x  = 2x + 30

Subtract 2x from both sides,

       3x - 2x = 30

               x = 30°

Answer:

Step-by-step explanation:

First look at the tangent function f(x) = tan x.  Its domain is restricted:  (-pi/2, pi/2).  There are no restrictions on the function value, so the range is (-infinity, +infinity).  The primary interval on which tan x is defined is (-pi/2, +pi/2, which has length pi.

In comparison, the domain of f(x) = tan 2x is only half as long as that of f(x) = tan x:  (-pi/4, +pi/4), with length pi/2.

Now, focusing on f(x) = 3cot(2x):  the range is the same:  (-infinity, +infinity).  The period is half that of tan x:  pi/2 instead of pi.  Remember that the cotangent function repeats itself every pi/2 radians.

Domain:  (-pi/4, +pi/4) (centered on the origin), (-3pi/4. 3pi/4), and so on, continuing to both the left and the right.

Range:  (-infinity, infinity)

Answer:

-2

Step-by-step explanation:

Opening bracket,

6x+15 +4=7

6x=7-19    (I took 15 and 4 to other side and thus they became negative)          

x=-12/6

x=-2

Pls mark me brainliest

Answer:

The answer is x = -2

Step-by-step explanation:

FOIL

3*2x + 3*5 + 4 = 7

6x + 15 + 4 = 7

6x + 19 = 7

Subtract 19 from both sides.

6x =  -12

Divide both by 6.

x = -2

The correct values of a and b to rewrite the expression as (x + a)(x + b) are:

a = 9

b = -8

So, (x + 9)(x - 8) is the correct form of the given expression.

Here, we have to rewrite the expression x² + x - 72 in the form (x + a)(x + b), we need to find two numbers a and b such that when multiplied,

it give us the constant term -72 and when added, it give us the coefficient of the x term, which is 1.

The expression x² + x - 72 can be factored as follows:

x² + x - 72

= x² + 9x - 8x - 72

=x(x+9) -8(x+9)

= (x + 9)(x - 8)

Therefore, the correct values of a and b to rewrite the expression as (x + a)(x + b) are:

a = 9

b = -8

So, (x + 9)(x - 8) is the correct form of the given expression.

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The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

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Answer:

3.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+y=50 Because x and y represent the number of coins

25x+10y=980 Because there are x quarters and y dimes

-10x-10y=-500 Multiply the first equation by -10 to cancel out y (using the

addition method: equation 1 + equation 2)

15x=480 Solve for x

x=32

(32)+y=50 Substitute x

-32       -32

y=18 Solve

Answer:  The correct answers are dimes = 18 and quarters = 32

Step-by-step explanation:

q = quarters

d = dimes

What we know:

What we need to find out:

Using a system of equations, we can solve this:

q + d = 50  (the total number of coins = 50)

25q + 10d = 9.80  (the number of each time their value totals $9.80)

Multiply the first equation by 25:

(25)*q + (25)*d = (25)*50

25q + 25d = 1250

Subtract the first equation from this equation to solve for quarters:

25q-25q + 25d-10d = 1250 - 980

15d = 270

15d/15 = 270/15

d = 18   (18 dimes)

Now plug-in the dimes into the original equation to find quarters:

q + d = 50

q + 18 = 50

q = 50 - 18

q = 32    (32 quarters)

Check our math:

(18 * .10) + (32 * .25) = 9.80

1.80 + 8.00 = 9.80

9.80 = 9.80  (correct!)

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Answer:

57   mean

Step-by-step explanation:

x = mean

(x - 49 )  = 2 ( 61 -x)

x = 57

Answer:

3×0+1=1

Step-by-step explanation:

i hope that helps

Answer:

25 minutes

Step-by-step explanation: 20 divided by 8 equals 2.5 so she take 2 and a half minutes per question. 2.5 plus 2.5 equals 5 so just add five minutes on her original time. 25 minutes

Answer:

25 minutes

Step-by-step explanation:

→You can set this problem up as a proportion, like so:

\(\frac{8}{10} =\frac{20}{x}\)

→Cross multiply:

\(\frac{8x}{200}\)

→Divide 200 by 8:

x = 25

Sabella flew at a rate of 7 miles per minute.

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The table below provides the speed formula:

s = d/f

To find the miles per minute, we can divide the total distance by the total time:

Miles per minute = Total distance / Total time

Miles per minute = 840 miles / 120 minutes

Miles per minute = 7 miles/minute

Therefore, Sabella was moving at a speed of 7 miles per hour.

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The equation of the line is y = -5/2x + 5.

1. We know that the equation of a straight line is given by y = mx + c, where m is the slope of the line and c is the y-intercept.

2. We need to find the slope of line l. To find the slope, we can use the formula: m = (y2-y1)/(x2-x1). In this case, we have y2 = 1, y1 = 5, x2 = 2, and x1 = 0. Therefore, m = (1-5)/(2-0) = -4/2 = -2.

3. We now have the slope of line l, so we can find the equation of the line which is parallel to l and which passes through the point (3,0). To do this, we can use the formula y = mx + c, where m is the slope of the line and c is the y-intercept.

4. In this case, m = -2 and c is the y-intercept, which is the point at which the line intersects the y-axis.

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Answer:

5

Step-by-step explanation:

Salma and Jared each threw 5 darts at the target shown. Salma scored 19 points by landing 2 darts in A and 3 in B. Jared scored 17 points by landing 1 dart in A and 4 in B. How many points are given for a dart landing in A?

this can be solved using simultaneous equation. Two equations can be formed from the question

2a + 3b = 19  equation 1

1a + 4b = 17    equation 2

Multiply equation 2 by 2

2a + 8b = 34  equation 3

Subtract equation 1 from 3

5b = 15

divide both sides of the equation by 5

b = 3

Substitute for b in equation 1

2a + 3(3) = 19

2a = 9 = 19

collect like terms

2a = 10

divide both sides of the equation by 2

a = 5

Answer:

Step-by-step explanation:

Let's start with the angle 116. The angle next to it, inside the triangle with the 38 is supplementary to 116; therefore, 180 - 116 = 64. By the triangle angle-sum theorem, the angles inside that triangle have to add up to equal 180; therefore, 180 - 38 - 64 = 78. That's the measure of the angle in the bottom left of the triangle on the right. If that's 78, then the angle next to it, inside the other triangle is supplementary to 78; therefore, 180 - 78 = 102. That triangle's angles have to add up to equal 180 too so 180 - 102 - 43 = 35. That angle, the 35-degree angle, is vertical to x. Therefore, since vertical angles are congruent, x also equals 35 degrees.

To find (fg)(3), we need to evaluate the functions f(x) and g(x) at x = 3, multiply the results, and simplify the expression. The simplified value of (fg)(3) is 35. Therefore, (fg)(3) evaluates to 10.

To calculate (fg)(3), we first need to evaluate f(x) and g(x) separately at x = 3. Let's begin with f(x):

\(f(x) = x^2 - x + 4\)

Substituting x = 3 into the function, we have:

\(f(3) = (3)^2 - (3) + 4\)

= 9 - 3 + 4

= 10

Next, let's evaluate g(x):

g(x) = -x + 4

Substituting x = 3 into the function, we get:

g(3) = -(3) + 4

= 1

Now, we can calculate (fg)(3) by multiplying the values of f(3) and g(3):

(fg)(3) = f(3) * g(3)

= 10 * 1

= 10

Therefore, (fg)(3) evaluates to 10.

Nevertheless, based on the given functions f(x) and g(x), the result of (fg)(3) is 10.

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Given the following functions, find and simplify (fg)(3).

f(x)g(x)=x2=−x+4

Answer:

the first number is the x axis and the second is the y axis so first find the x axis and plot the first number on there then do the same to the y.

Step-by-step explanation:

The steps for using a compass and straightedge to construct a square is:

Given:

Let AB the length of one side given.

Steps:

a. Using your straightedge, draw a reference line, if one is not provided.

b. Copy the side of the square onto the reference line, starting at a point labeled A'.

c. Construct a perpendicular at point B' to the line through \(AB\).

d. Place your compass point at B', and copy the side of the square onto the perpendicular B'G. Label the end of the segment copy as point C.

e. With your compass still set at a span representing AB, place the compass point at C and swing an arc to the left.

f. Holding this same span, place the compass point at A' and swing an arc intersecting with the previous arc. Label the point of intersection as D.

g. Connect points A' to D, D to C, and C to B' to form a square.

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Answer:

\(\left[\begin{array}{ccc} -10 & -9 \\ -8 & -2 \\ -11 & 67 \end{array}\right]\)

Step-by-step explanation:

This is a matrices. Since they are both the same in format, we can add them together. But first we must multiply each value by the given values.

1.

\(\left[\begin{array}{ccc}-30 & -5 \\ 20 & 30 \\ -35 & 35 \end{array}\right]\)    +   \(\left[\begin{array}{ccc} 20 & -4 \\ -12 & -32 \\ 24 & 32 \end{array}\right]\)     =  \(\left[\begin{array}{ccc} -10 & -9 \\ -8 & -2 \\ -11 & 67 \end{array}\right]\)

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The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

z = (x-μ)/σ/n, where

x is the raw score = 20 mpg

μ is the population mean = 21 mpg

σ is the population standard deviation = 2.9

n = random number of samples \(x < 20\)

\(= z = 20 - 21/2.9/\sqrt{25} \\= z = -1/2.9/5\\= z = -1.72414\\\)

P-value from Z-Table:

\(P(x < 20) = 0.042341\)

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Answer:

60°

Step-by-step explanation:

π/3Since π is denoted as 180°,

To convert π/3 radians to the nearest degree will

be:π/3 =

=180/3

= 60°

Answer:

it would be helpful if you provided some answers to know what questions your doing but 60

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

6 + 5 + 4 = 15

There are 15 marbles to start with.

p(event) = (number of desired outcomes)/(total number of outcomes)

First pick (there are 6 desired outcomes out of a total of 15 possible outcomes):

p(r) = 6/15

Now there are 5 red marbles left and a total of 14 marbles left.

Second pick (there are 5 desired outcomes out of a total of 14 possible outcomes):

p(r) = 5/14

These events are independent, so we multiply the two probabilities.

p(r, r) = 6/15 × 5/14

p(r, r) = 3/7 × 1/3

p(r, r) = 1/7

In the given proof, we are provided with a series of statements and axioms. We need to use the results from page 36 of the cheat sheet (excluding Theorem 11, which is the goal of the proof) to complete the proof. Let's analyze the steps and apply the appropriate results to complete the proof:

Proof:

1. (-a) -((a+b) (a-(ab)))

2. b-a-b

3. a-a (Axiom 6, Axiom 1, Theorem 1)

We start with the first statement: (-a) -((a+b) (a-(ab))). To simplify this expression, we can use one of the results from page 36 of the cheat sheet. Let's consider Result 5, which states: "(-a)-(b-(a-(ab))) = a-ab." By comparing the given expression with Result 5, we can see that we need to make a few adjustments to match the pattern.

We have (-a) -((a+b) (a-(ab))), and we can rewrite it as (-a) - ((a+b) - (a - (ab))). Now, we can apply Result 5, which gives us (-a) - ((a+b) - (a - (ab))) = a - (ab).

So, our first statement simplifies to a - (ab).

Moving on to the second statement: b-a-b. To prove this statement, we can utilize another result from page 36. Let's consider Result 2, which states: "a - (b - a) = 2a - b." By comparing the given expression with Result 2, we see that we need to rearrange the terms.

We have b - a - b, and we can rewrite it as b - (a - b). Now, we can apply Result 2, which gives us b - (a - b) = 2b - a.

So, our second statement simplifies to 2b - a.

Finally, we have the third statement: a - a. This statement is directly derived from Axiom 6, which states: "a - a = 0."

Combining the simplified forms of the first and second statements, we have a - (ab) = 0 and 2b - a = 0. Now, we can use these two equations along with Axiom 1, which states: "a - (ab) = (a - b)a," to derive the conclusion.

From a - (ab) = 0, we can multiply both sides by a to get a^2 - a(ab) = 0. Rearranging this equation, we have a^2 = a(ab).

Next, we substitute 2b - a = 0 into the equation a^2 = a(ab). This yields a^2 = (2b)(ab), which simplifies to a^2 = 2(ab)^2.

Using Theorem 1, which states: "If a^2 = b^2, then a = b or a = -b," we can conclude that a = √(2(ab)^2) or a = -√(2(ab)^2).

Therefore, by applying the results from page 36 of the cheat sheet and the given axioms, we have derived the conclusion that a = √(2(ab)^2) or a = -√(2(ab)^2) in the given proof.

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Answer:

Yes it is

Step-by-step explanation:

You know it is equal because 2/10 is equal to .20 or .2

Answer:

I’m sure they are both equivalent to 1/5

Step-by-step explanation: