Patrick, Evan, and Micheal all have M&M's. The ratio of Patrick's M&M's to Evan's is 2:1 and the ratio of Evan's to Micheal's M&M's is 4:5. Find the ratio of Patrick's M&M's to Micheal's

Answer:

Options A, B & D

Step-by-step explanation:

\(5-2\frac{3}{4} =\frac{20}{4} -\frac{11}{4} =\frac{9}{4} =2\frac{1}{4}\)

Hope tis helps

The vertical change is represented by the equations x = - 2y - 5, y = 10 - 2x and 2x + y = 4.

The equation is given as:

y = - 2 x - 1

For vertical change, there should be a change in the y axis coordinate.

A)

y = - 4 x - 2

y = 2 (- 2 x - 1)

No vertical change

B)

y = - 2x

No vertical change

C)

x = - 2y - 5

Vertical change is there.

D)

y = 10 - 2x

y = - 2 x - 1 + 11

y - 11 = - 2 x - 1

Vertical change is there.

E)

y = 2x + 1

y = - 1 ( - 2 x - 1)

No vertical change

F)

2x + y = 4

y = - 2 x + 4

y = - 2 x - 1 + 5

y - 5 = - 2 x - 1

Vertical change is there.

Therefore, we get that, the vertical change is represented by the equations x = - 2y - 5, y = 10 - 2x and 2x + y = 4.

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Answer:

69°

Step-by-step explanation:

180 - 21 -90 = 69

hope this helps...

Answer: The missing angle is 69°

Step-by-step explanation: When all the angles have their vertex on a straight line, they must add up to 180° They are "supplementary" angles.

The "box" in the corner of an angle is a symbol for "right angle" so that is a way to have a "given" 90°

Knowing that, you can add the "given" 90° + 21° to get 111°

Subtract 111° from 180° to find Angle a:

180 - 111 = 69

Answer: A

Step-by-step explanation: on Edge

Answer:

D

Step-by-step explanation:

If the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.

The mass of the object cannot be determined with the given information. Acceleration is related to force and mass through Newton's Second Law: F = ma. However, in this case, we are given the acceleration and force, but not the mass. To find the mass, we would need either the acceleration and the force, or the force and the mass.

However, if we assume that the force and acceleration are both in the same direction, we can use the formula F = ma to find the mass. Rearranging the formula, we get m = F/a.

Substituting the given values, we get:

m = 10 N / 12 m/s²

m = 0.83 kg

So, if the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.

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Complete Question:

A moving train accelerates at a rate of 12 meters per second. What would your mass be if the applied force were 10N?

Answer:

|-2| = 2

Step-by-step explanation:

The angular acceleration of the system times the system's radius, which is 40 cm, or 0.4 m, gives rise to the tangential acceleration at the system's farthest edge at time t = 0.5 s. Thus, 0.4 m/s2 is the tangential acceleration.

The radius of the system multiplied by the system's angular acceleration gives the tangential acceleration of a point at its furthest edge. The system's radius in this instance is 40 cm, or 0.4 metres, and the time is 0.5 seconds. As a result, the tangential acceleration at time t = 0.5 s is equal to the system's angular acceleration times its radius, which is 0.4 m. We multiply the angular acceleration by the system's radius, which is 0.4 m, to determine the tangential acceleration. Thus, 0.4 m/s2 is the tangential acceleration at time t = 0.5 s. This indicates that a point on the system's outermost edge accelerates by 0.4.

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Part A: Expression to represent the elevation of city D.

The elevation of city D is 1 over 4 of the elevation of city C. Therefore, the expression to represent the elevation, in feet, of city D is given by;D = 1/4C ------------------- (1)Part B: Solving the expression and determining the signThe elevation of city C is 24 feet below sea level. Therefore,C = -24Substitute the value of C into equation (1);D = 1/4C= 1/4 (-24)=-6Therefore, the elevation of city D is -6 feet, which is negative. This is because the elevation of city D is below sea level.

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Answer:

since 4y=12 and 4y=2x then 4y=12=2x or 12=2x

Answer:

2x+4=60

Step-by-step explanation:

let X represent Danny's age.

and X+4 represent Levar's age since he's 4 years older than Danny we add 4.

subtract 4 from both sides and then divide by 2 and Danny's age is 28 and Levar is 32

The difference between the compound interest and simple interest for 7 years is $3,944.72 or approximately $3,944.73.

We have to calculate the difference between the compound interest and simple interest for 7 years. The principal amount is $3,000, and the interest rate is 9%. The formula for simple interest can be represented as,

I = Prt

where I is the simple interest, P is the principal amount, r is the rate of interest, and t is the time taken.

The interest for one year using simple interest will be,

I = Prt = $3,000 × 0.09 × 1 = $270

So, the interest for 7 years using simple interest will be $270 × 7 = $1,890.

The formula for compound interest can be represented as,

A = P(1 + r/n)^nt

where A is the amount, P is the principal amount, r is the rate of interest, t is the time taken, and n is the number of compounding periods.

The interest for 7 years using compound interest will be,

A = $3,000(1 + 0.09/1)^(1 × 7) = $5,834.72

The interest Lori will receive in the 7th year with compound interest can be calculated as follows:

Amount for 6 years = $3,000(1 + 0.09/1)^(1 × 6) = $5,178.38

Amount for 7 years = $3,000(1 + 0.09/1)^(1 × 7) = $5,834.72

Interest for 7th year with compound interest = $5,834.72 - $5,178.38 = $656.34

The interest for 7 years using simple interest is $1,890.

The interest for 7 years using compound interest is $656.34 + interest for the first 6 years.

Interest for 6 years using compound interest,

A = $3,000(1 + 0.09/1)^(1 × 6) = $5,178.38

The total interest for 7 years using compound interest is $5,178.38 + $656.34 = $5,834.72.

The difference between the compound interest and simple interest for 7 years is $5,834.72 - $1,890 = $3,944.72, which is the answer.

However, it is not one of the options. So, we need to round it off to the nearest cent.

The difference rounded to the nearest cent is $3,944.73 - $3,944.72 = $0.01

Hence, the difference between the compound interest and simple interest for 7 years is $3,944.72 or approximately $3,944.73.

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Answer:

Step-by-step explanation:

20

Answer: KL IS 3 + 9 THEN 5 MINUS NINE

Step-by-step explanation: FIND KL

The answers will be :

a. The equation of perpendicular bisector of QR is y = \(\frac{-5}{3}\) x + 3.

b. The slope of median of triangle passing through point R is 1/4.

c. The slope of the altitude of the triangle that passes through point R doesn't exists.

What is slope of a line segment ?

Slope is the ratio of the difference in y-coordinates over the equivalent x-coordinates between two different locations on a line.

It is given that the vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).

a.

The midpoint (M) of QR will be equal to

( \(\frac{-2 + 8}{2} , \frac{-5 + 1}{2}\) )

or

M = (-3 , 2)

Now , slope of line QR will be ;

\(m_{QR}\) = \(\frac{1+5}{8+2}\)

\(m_{QR}\) = 6 / 10

We know that :

m × \(m_{QR}\) = -1

m = -10 / 6

or

m = -5 / 3

Equation of line will be given as :

y + 2 = \(\frac{-5}{3}\) ( x - 3 )

y = \(\frac{-5}{3}\) x + 3

b.

The midpoint of PQ will be :

= (\(\frac{-6 - 2}{2} , \frac{1 - 5}{2}\))

= ( -4 , -2)

The slope of median of triangle that passes through point R will be ;

m = \(\frac{-2 - 1}{-4-8}\)

m = -3 / -12

m = 1/4

or

m = 0.25

c.

Slope of altitude of triangle that passes through point Q will be :

m = \(\frac{1 - 1}{-6-8}\)

m = 0 / -14

m = 0

The slope in this case doesn't exist.

Therefore the answers will be :

a. The equation of perpendicular bisector of QR is y = \(\frac{-5}{3}\) x + 3.

b. The slope of median of triangle passing through point R is 1/4.

c. The slope of the altitude of the triangle that passes through point R doesn't exists.

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Step-by-step explanation:

I am always available to help, post your worry

To solve the system of equations using elimination, we'll eliminate one variable by manipulating the equations.

Let's follow the steps: Given equations: 3x + 2y = -3. 9x + 4y = 3. To eliminate the y variable, we can multiply equation (1) by 2 and equation (2) by -1, which will allow us to add the two equations together: 2(3x + 2y) = 2(-3). -1(9x + 4y) = -1(3). Simplifying the equations: 6x + 4y = -6. -9x - 4y = -3. Now, let's add the two equations together: (6x + 4y) + (-9x - 4y) = -6 + (-3). Simplifying the equation: -3x = -9. Dividing both sides by -3: x = 3. Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use equation (1): 3(3) + 2y = -3. 9 + 2y = -3. Subtracting 9 from both sides: 2y = -12.  Dividing both sides by 2: y = -6. Therefore, the solution to the system of equations is x = 3 and y = -6.

The solutions of system of equations can be represented as the ordered pair (x, y) = (3, -6).

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1. The test statistic falls outside the critical t-values therefore we reject the null hypothesis

2. The confidence interval is constructed as CI = x ± (t_(α/2, df) * (σ / √n))

3. The conclusion is there is sufficient evidence to suggest that the mean inside bearing diameter is different from 8.25 cm

1. Hypothesis Testing:

Null hypothesis (H₀): The mean inside bearing diameter is 8.25 cm.

Alternative hypothesis (H₁): The mean inside bearing diameter is not equal to 8.25 cm.

We will conduct a two-sided hypothesis test using a significance level (alpha) of 0.05.

Given:

Sample size (n) = 15

Sample mean (x) = 8.2535 cm

Standard deviation (σ) = 0.002 cm

To test the hypothesis, we will use a t-test since the population standard deviation is unknown and the sample size is small.

Calculate the test statistic (t-value):

t = (x - μ) / (σ / √n)

where μ is the hypothesized mean under the null hypothesis.

t = (8.2535 - 8.25) / (0.002 / √15)

t = 6.77

Calculate the critical t-values for a two-sided test at a 95% confidence level (alpha = 0.05):

Since the sample size is small (n = 15), we will use the t-distribution and degrees of freedom (df = n - 1 = 14) to find the critical t-values.

t_critical = ± t_(α/2, df)

If you look up the critical t-value for alpha/2 = 0.025 and df = 14 in the t-table or use a statistical calculator, we have 2.51

t_critical = 2.51

Compare the test statistic to the critical t-values:

Since the test statistic falls outside the critical t-values, we reject the null hypothesis.

2. Confidence Interval:

To construct a 95% confidence interval, we will use the formula:

CI = x ± (t_(α/2, df) * (σ / √n))

3. Conclusion:

Since the test statistic falls outside the critical t-values, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean inside bearing diameter is different from 8.25 cm.

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Answer:

acute

Step-by-step explanation:

5 is lower than a 90* angle

if this is wrong I'm very sorry.

======================================================

Explanation:

The ratio 3:5 is equivalent to 3x:5x after multiplying both parts by x.

Jess has 3x dollars and Marie has 5x dollars

3x+5x = 64

8x = 64

x = 64/8

x = 8

Therefore,

The ratio 24:40 reduces to 3:5 after dividing both parts by the GCF 8.

---------------------------

Another way to solve:

m = amount Marie has

64-m = amount Jess has

3/5 = (64-m)/m

3m = 5(64-m)

3m = 320-5m

3m+5m = 320

8m = 320

m = 320/8

m = 40 dollars is the amount Marie has

Answer:

i don't understand

Step-by-step explanation:

We need to know about speed, time and distance to solve the problem. Time taken by sound of thunder to travel 1500 m would be 4.54 seconds.

Speed is the measure of the amount of distance covered in a unit of time, it can be per hour, per minute or per second. Speed of a vehicle can be calculated by dividing the distance covered by the time taken to travel the distance. If we know any two of the variables among speed, time and distance we can find the third one. In this question we have been provided with the distance covered by sound and the speed with which it travels, we need to find the time it will take ,

S=D/T

330=1500/T

T=1500/330=4.54 s

Therefore the time taken by sound of thunder to travel 1500 m is 4.54 seconds.

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Answer:  see answers below

Step-by-step explanation:

(i) The first leaf of the tree is:  black = 5/9 and white = 4/9

   That means that there are 5 black marbles out of 9 total marbles and 4 white marbles out of 9 total marbles.

Total marbles = 9

Black marbles = 5

White marbles = 4

*******************************************************************************************

(ii)  

P(B₂/B₁)

The probability that the 2nd marble is black given that the 1st marble was black.

P(W₂/B₁)

The probability that the 2nd marble is white given that the 1st marble was black.

P(B₂/W₁)

The probability that the 2nd marble is black given that the 1st marble was white.

P(W₂/W₁)

The probability that the 2nd marble is white given that the 1st marble was white.

***********************************************************************************************

                (iii)  Outcomes            (iv)   Probability        

                         (B, B)                    (5/9) x (1/2) = 5/18

                         (B, W)                    (5/9) x (1/2) = 5/18

                         (W, B)                    (4/9) x (5/8) = 5/18

                         (W, W)                  (4/9) x (3/8) = 3/18

                                                    Check:  Total = 18/18 = 1  \(\checkmark\)

**********************************************************************************************

(iv)  Dependent

     Once the first ball is drawn, there is one less ball for the second draw.  Therefore, the second draw is dependent on the first draw.

To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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Answer:

$31.23

Step-by-step explanation:

4.1% = .041

30 * .041 = 1.23

--------------------

30 + 1.23 = 31.23

Answer:

$31.23

Step-by-step explanation:

Tax is 1.23

multiply .041 by 30 and add it to 30

The equation 5(2x – 3) = 5  has one solution.

The solution of the equation is x = 2.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Therefore, let's solve the equation as follows:

5(2x – 3) = 5

open the brackets

5(2x – 3) = 5

10x - 15 = 5

add 15 to both sides of the equation

10x - 15 = 5

10x - 15 + 15 = 5 + 15

10x  = 20

divide both sides by 10

x = 20 / 10

x = 2

Hence, the solution of the equation is x = 2.

The equation has only one solution.

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Answer:

Step-by-step explanation:

Answer:

Read below

Step-by-step explanation:

11. YX = 4.5

    RQ corresponds to ZY. If RQ is 4 and ZY is 3, then ΔQRP was dilated by  0.75 to form ΔYZX. (3/4 = 0.75). Using this knowledge, we can find the length of YX by multiplying 6 by 0.75. (YX corresponds to QP). 6 × 0.75 = 4.5.

12. 55°

    All of a triangle's angles must add up to 180°. ∠Q is 88°. ∠Z is 37°. ∠Z is congruent to ∠R because corresponding angles in similar triangles are congruent. So, 88° + 37° = 125°. We need to get to 180°, so 180° - 125° = 55°.

13. 4.2

    BC corresponds to DF. We need to find the scale factor, so divide 2.7 by 3.6. That equals 0.75. AC corresponds to EF. EF is 5.6, so multiply 5.6 by 0.75. That equals 4.2.

I hope this helps :))

If the temperature is -5 degrees in one city and it is four degrees less in another city, the temperature in the other city would be -9 degrees.

This is because subtracting four from -5 results in a decrease of four units, giving us -9 degrees.

In the given scenario, the temperature in the other city is four degrees less than the temperature in the first city. When we subtract four from the original temperature of -5 degrees, we obtain -9 degrees.

Thus, the temperature in the other city is -9 degrees, indicating that it is colder by four degrees compared to the first city.

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