Divide $79 among three people so that the second one has three times more than the first, and the third will have two dollars more than the second.

Mary paid $3.80 per pound and Mark paid $4.00 per pound.

19 ÷ 5 = 3.80

16 ÷ 4 = 4

Mary's unit rate is less than Mark's unit rate.

To compare the unit rate of Mary and Mark, we need to find how much each of them paid per pound of grapes.

Mary paid $19 for 5 pounds of grapes, so her unit rate can be calculated as:

The unit rate of Mary = Total cost of grapes / Total amount of grapes purchased

= $19 / 5 pounds

= $3.80 per pound

Mark paid $16 for 4 pounds of grapes, so his unit rate can be calculated as:

The unit rate of Mark = Total cost of grapes / Total amount of grapes purchased

= $16 / 4 pounds

= $4.00 per pound

Comparing the unit rate of Mary and Mark, we can see that Mary paid less per pound of grapes than Mark did.

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Answer:

8.789120

(you have to include the zero, or else the answer would no longer be the nearest millionth! and you would be marked wrong)

The required answer would be 8.789120 which is round to the nearest millionth.

The numerical value that is rounded up to represent the supplied value's next value serves as its upper bound.

The numerical number that is rounded off for the previous value or the predicted value of the provided value is the lower bound for the supplied value.

We have been given number as

⇒ 8.78911981582

We have to round 8.78911981582 to the nearest millionth

⇒ 8.789120

The result would no longer be the nearest millionth if didn't add the zero.

Therefore, the required answer would be 8.789120.

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Problem 9

List any three points that are on the same straight line.

So for example, you could say A, P and B. Or you could say C, P, and D. A third one you could do is J, D and K.

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

Problem 10

Now we're listing any three points that aren't on the same straight line.

One example of such triple is A, P and D. Another example is K, D, and C. There are many others as well.

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

Problem 11

List any four points that are in the same plane. So you'll pick four points from the set {A, B, C, D, P} to answer this question as these five points are all in the shaded plane R.

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

Problem 12

Pick any four points such that they do not all exist in the same plane. It doesn't matter which points you pick as long as J or K are one of the points selected. This is because neither J nor K are in the plane R.

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

Problem 13

Line JK intersects CD at point D. The other line that crosses CD is line AB.

Line AB is in plane R, while line JK intersects the plane at point D only.

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

Problem 14

Intersecting line JK and plane R results in point D. This is where the line and plane meet, as mentioned in the previous problem.

If you were asked to intersect line AB and plane R, then you would get line AB as a result. All of line AB is inside the plane.

Answer:

C) (0,3)

Step-by-step explanation:

It would be that answer because I found the answer in a website. Its Math-way

Answer:

Step-by-step explanation:

Graph each line on the same plane and take the point of their intersection.

Given linear equations:

See the attached  to confirm the answer is the point (0, 3)

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.

Given the Annual Percentage Rate (APR) on credit card is 17.8%.

Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.

To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).

So, given APR = 17.8%

Now, daily percentage rate will be:

⇒ Daily percentage rate = Annual Percentage Rate ÷ 365

⇒ DPR = APR / 365

⇒ DPR = 17.8% ÷ 365

⇒ DPR = 0.048%

Therefore, daily percentage rate (DPR) is equal to 0.048%.

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Answer:

1 and 4

Step-by-step explanation:

ed 2020

Answer:

Option B. 1 and Option E. 4

Step-by-step explanation:

The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

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Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

Answer:

  61.03°

Step-by-step explanation:

You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.

The law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...

  c² = a² +b² -2ab·cos(C)

Solving for angle C, we have ...

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

In this triangle, that means ...

  C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)

  C ≈ 61.03°

The angle of interest is about 61.03°.

__

Additional comment

We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)

<95141404393>

Answer:

the number --4

Step-by-step explanation:

-7--4=-3

-3--4=1

1--4=5

5--4=9

Answer:

10*3

Step-by-step explanation:

10*3 = 30

Answer:

10x3.2=32

Step-by-step explanation:

that what you lookin for?

For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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Answer:

There is no difference in the number of sales between The Florida salespeople and Washington salespeople

Sp^2 = 39

Step-by-step explanation:

Given data :

Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54

Washington: 42, 43, 56, 50, 49, 52, 53, 56

number of sales persons in Florida = 9

number of sales persons in Washington = 8

variance = constant

a)Determine if there is difference between the Florida salespeople and Washington salespeople

we will carry out a two tailed test based on the given data

H0 : u1 = u2  

H1 : u1 ≠ u2

x ( mean ) = 46.77,  y ( mean ) = 50.13 ,

s1^2 = 39.69,  s2^2 = 28.41,   n1 = 9 ,   n2 = 8

therefore :

Sp^2 = \(\frac{n1s1^2 + n2s2^2}{n1 + n2-2}\) =  38.96  ≈ 39

performing test statistic

t = \(\frac{x- y }{sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }\)    = \(\frac{-3.36}{3.0330}\) = -1.1078

critical value is at t = 0.05 and for a two tailed test it is at 2.13  therefore e accept H0 at 5% .    This shows that there is no difference in sales

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer:

Check below for the answers and explanations to the questions.

Step-by-step explanation:

a) The explanatory variable is "the neighborhood" because it is the one that can be controlled/varied by the experimenter and also determines the outcome of the experiment.

The response variable is the "academic performance of the children" since it is the outcome of the experiment.

b) The subjects of the study are the children of the 1000 families that were given federal housing vouchers to relocate.

The factors of the study are:

1. the low income neighborhood

2. the federal housing estate

Treatment is the combination of various levels of the factor. In this case, it is the neighborhood of the families.

c) No significant difference means that the mean of the academic performance of the children while living the low-income neighborhood equals the mean of their academic performance while living in the federal housing estate. Which means that the null hypothesis is accepted.

d) The period of evaluation after relocation is very small compared to the time that has been spent in the low-income neighborhood. The observation has to take a longer time to discover the effect of the new neighbourhood on the academic performance of the children. Therefore the lack of improvement in academic performance after one year does not necessarily mean that neighborhood does not have effect on academic performance.

e) some other variables that are not considered in this study are:

The average Intelligence Quotient of the children

The parental training

The schools attended by the children

Average number of hours spent on study

Answer:

40,320

Step-by-step explanation:

The ! after the 8 is called a factorial.

You basically have to multiply that number by all the numbers that come before it.

For example: 4! = 4 x 3 x 2 x 1

In your case, 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320

Answer:

The correct answer is B, also may be Brain??

Step-by-step explanation:

The perimeter of a rectangle can be calculated using the formula P = 2l + 2w, where l is the length and w is the width. If the length of the rectangle is 25 cm and we want the perimeter to be greater than 90 cm, we can set up an inequality to solve for the width: 2l + 2w > 90.

Substituting the value for the length gives 2 * 25 + 2w > 90, which simplifies to 50 + 2w > 90. Subtracting 50 from both sides gives 2w > 40, and dividing by 2 gives w > 20.

So the width of the rectangle must be greater than 20 cm to make the perimeter greater than 90 cm. The correct answer is B: width > 20 cm.

Answer:

i'm guessing this but not 100% sure

Step-by-step explanation:

Let w = the width

P = 2l + 2w

2w + 2(25) > 90

2w + 50 > 90

2w > 40

w > 20 cm

Answer:

Step-by-step explaination:

=> ( -2 )^3*( -2 )^4

=> -8 * 16

=> -128...ans

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

Step-by-step explanation:

6)   Statement                      Reasons

      ∠W = ∠Q                      Given

      WX = QX                      Given

     ∠1 = ∠2                          Vertically opposite angles

    ΔPXW ≅ ΔMXQ             A S A  congruent  (Angle side Angle)

7)    ∠1 = ∠4                          Given

     FH = HF                         Reflexive property

     ∠2  = ∠3                        Given

   ΔFGH ≅ ΔHEF               A S A  congruent  (Angle side Angle)

the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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Answer:

the answer the other dude gave is right

Step-by-step explanation:

Answer:

the answer is 24192

Answer: 24192

Step-by-step explanation:

The period of the sound wave created by the tuba is approximately 0.0134 seconds.

The speed of sound in air is given as 343 meters per second. The formula relating the speed of sound, wavelength, and period of a wave is:

v = λ × f

Where:

v = speed of sound (343 m/s)

λ = wavelength (4.61 m)

f = frequency (unknown)

To find the period, we need to determine the frequency of the sound wave. The period (T) is the reciprocal of the frequency (f), so we can rewrite the formula as:

v = λ / T

Rearranging the equation to solve for the period (T), we get:

T = λ / v

Substituting the given values, we have:

T = 4.61 m / 343 m/s

Calculating the value, we find:

T ≈ 0.0134 seconds

Therefore, the period of the sound wave created by the tuba is approximately 0.0134 seconds.

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Answer:

What does S represent?

Step-by-step explanation:

Answer && Step-by-step explanation:

Know that when in scientific notation, is ^x positive, move decimal to the right

when ^-x move to the left

so

4.5 * 10^-6

==A. .0000045