A trampoline was originally priced at $100 but went on sale for 60% off. If Emmett bought the trampoline and paid 5% sales tax, how much did he pay in total?

Answer:

76.

Step-by-step explanation:

It is given that N is a 2-digit number.

Last two digits of N^2 is the same as N.

We know that, a number is even if it ends with 0,2,4,6,8.

\(2^2=4,4^2=16,6^2=36,8^2=64\)

If 0 is in end then we get two zeros in the square of that number.

It is clear that, number should ends with 6 to get the same number at the end.

\(16^2=256\)

\(26^2=676\)

\(36^2=1296\)

\(46^2=2116\)

\(56^2=3136\)

\(66^2=4356\)

\(76^2=5776\)

\(86^2=7396\)

\(96^2=9216\)

It is clear that last two digits of (76)^2 is the same as 76.

Therefore, the required number is 76.

Answer:

the number is 20

Step-by-step explanation:

let 'n' represent the number

2n + 9 = 49

2n = 40

n = 40/2 = 20

Answer:

cp is rupees 5000

Step-by-step explanation:

11x/10 -21x-/20= 250

then do lcm and answer will come x= 5000

Answer:

625=63 to the nearest whole number

Step-by-step explanation:

= 4/100×25%

= 625

= 63 to the nearest whole number

Answer:

16

Explanation:

Reasoning:

You know that 4 students = 25% of the class,

and that ? students = 100% of the class,

So you would want to plan it out like this:

4 ----- 25%

? ----- 100%

This is how you would solve it:

            4 x 100

               25

Multiply 100 x 4 = 400

Divide  400/ 25 = 16

Hope this helped ya!

Answer:

3

Step-by-step explanation:

Any number and variable combined is a term.

So 8 (#1 - Constant), + 19y (#2 -Coefficient + Variable), - 4z (#3 -Coefficient + Variable)

3 terms - B

Answer:

1.   a) HD = PW

     b)  TP = GH

     c) TW = GD

2.     Angles            Sides

    < A = < M          AB = MN

     < B = < N          BE = NP

     < E = < P           AE = MP

Another Valid statement:   < EB = < PN  OR  < EBA = < PNM

3.         Angles          Sides

      < Q = < J           QR = JL

        < R = < L           RY = LS

        < Y = < S           QY = JS

Another Valid statement:   < YR = < SL  OR  < YRQ = < SLJ

4.  a) TU = MK       d) < M = < U      g) UST = MKL

    b) KM = TU       e) < T = < K        h) TUS = KML

    c) LK = TS        f) < UST = MLK

5.   a) CM = 11          d) m < B = 45

      b) BM  =  15       e) m < M = 32

      c) YZ  =  8           f) m < Y = 103

6)    a) XL = 13          d) m < L = 29

      b) AC  =  21        e) m < C = 29

      c) PC  = 13          f) m < X = 122

* hope this helps

The painting is a square, which means all its sides are equal.

If x is the length of one side, then, all the remaining 3 sides also have the same length: x.

The area of a square is the square if its side, then, for a square with sides x:

We know that the area of the painting will be 400 square inches, then:

a. The equation that can be set up to find the length of a side is:

b. We can solve the equation by finding a number that multiplied by itself gives 400. For this case, we have two solutions. 20 and -20, since:

And:

-20 is also a solution because as a negative number, when multiplied by itself, gives a positive one. (A product between negative numbers gives always a positive number).

c. We have two solutions, however, only one of them makes sense: the 20. A negative length makes no sense, so we can discard the second solution (-20).

d. The length of the wood trim needed to go around the painting is then 20 inches. (we should not forget the units.)

Lenny's total wage is $7000

In this question, Lenny works a basic week of 32 hours. His basic rate of pay is $1,750. During a certain week he worked 9 hours overtime for which he was paid triple time.

32 hours of work = $1750

In a certain week, we work 9 hours as over time

For this overtime which he was paid triple time.

1750 * 3 = $5250

So, Lenny's total wage would be,

$1,750 +  $5250 = $7000

Therefore,  Lenny's total wage is $7000

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When the person is 42 feet away from the jetski, the sound intensity is approximately 87.1 decibels.

To answer this question, we need to use the inverse square law of sound intensity, which states that the intensity of a sound decreases with the square of the distance from the source.
1. Identify the initial distance (D1) and initial decibel level (L1): In this case, D1 = 12 feet and L1 = 100 decibels.
2. Identify the final distance (D2): In this case, D2 = 42 feet.
3. Calculate the ratio of the initial distance to the final distance: \(R = (D1 / D2)^2\)

\(= (12 / 42)^2\)

\(= (2 / 7)^2\)

\(= 4 / 49.\)
4. Convert the initial decibel level to intensity (I1): The intensity of a sound is proportional to \(10^(L1/10).\)

\(So, I1 = 10^(100/10) = 10^10.\)
5. Calculate the final intensity (I2) using the ratio of distances: I2 = I1 * R

\(= 10^10 * (4 / 49).\)
6. Convert the final intensity back to decibels (L2): L2 = 10 * log10(I2) = \(10 * log10(10^10 * 4 / 49).\)
7. Calculate the final decibel level: L2 ≈ 10 * (10 - log10(49/4)) = 10 * (10 - 1.29)

= 87.1 decibels.

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Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.

To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.

A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.

Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.

Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.

Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy. 

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Answer:

A, 19:95

Step-by-step explanation:

there are 19 Spanish students and 95 total students

Answer:

A

Step-by-step explanation:

i got it right (: on edg

Answer:

-2w - 14

Step-by-step explanation:

2w + -4w = 2w

AND

-9 + -5 = -14

so the sum is -2w - 14

The two vectors that are equivalent are AB and JK

Given data ,

AB with A(-8, 8) and B(-5, 6)

To check if two vectors are equivalent, we need to compare their components. In this case, we compare the differences in x-coordinates and y-coordinates between the initial and terminal points of each vector.

For vector AB:

x-component: Difference between x-coordinates of B and A: -5 - (-8) = 3

y-component: Difference between y-coordinates of B and A: 6 - 8 = -2

Similarly, for vector JK:

x-component: Difference between x-coordinates of K and J: 13 - 16 = -3

y-component: Difference between y-coordinates of K and J: -2 - (-4) = 2

Comparing the components of AB and JK, we can see that they have the same differences in both x and y coordinates:

AB: x-component = 3, y-component = -2

JK: x-component = -3, y-component = 2

Hence , vector AB and vector JK are equivalent

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It is given that, ABC BC =6.5cm CA=6.3cm AB=4.8cm Steps involved in construction Step 1: First draw a line segment AB = 4.8cm using pencil and ruler And mark one end A and other end B Step 2: From the point A draw an cm Step 3: From the point B draw an arc of length 6.5 cm Step point of intersection of these arc as C. Step 5: Join A and C & B and C. Now the triangle ABC is ready with BC =6.5cm CA=6.3cm AB=4.8cm

Answer:

1. -3

Step-by-step explanation:

-3*-3=9

9+8=17

17≥14

Hence, -3 is the solution to the equation.

Answer:

x = -3

Step-by-step explanation:

-3x + 8 ≥ 14   (subtract 8 from both sides)

-3x  ≥ 14  - 8

-3x  ≥ 6   (divide both sides by 3)

-x ≥ 2    (multiply both sides by  -1, remember to flip the sign when multiplying both sides by negative number)

x ≤ 2 (-1)

x ≤ -2

hence the solution must be a value that is less than -2. From the choices available, the only choice which satisfies this is x = -3

The value of the bullwhip measure that would indicate that the bullwhip effect exists is a value that is greater than 1.

Therefore, the answer is d) greater than 1.

The bullwhip effect is a phenomenon in the supply chain used to describe how minute fluctuations in demand at the retail level can lead to progressively larger changes in demand at the higher levels of the supply chain - wholesale, distributor, manufacturer and raw material supplier levels.

The bullwhip effect can be caused by four instances. It can be demand forecast updating, order batching, price fluctuation or rationing and gaming.

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Based on the number of miles to Anchorage from Mary's home in Zionsville, PA, the miles when rounded to the nearest ten is 4,380 miles.

When rounding off to the nearest ten, you look at the number in the ones position. If this number is 4 or below 4 then you round the number in the tens position to the nearest lower whole number.

If the number in the ones position is 5 or more than 5 on the other hand, you round the tens number to the nearest highest whole number.

The miles from Zionsville, PA, to Anchorage in this scenario is 4,377 miles so this number in the ones position, "7," is larger than 5 so you round the number in the tens position to the nearest highest whole number.

This rounds the number to "8"

The miles rounded to the nearest ten is:

= 4,380 miles

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Step-by-step explanation:

S = v/t

(x+2)km/h

((x+2)×1000)/(60×60) = (15×1000)/(60×60)

(5(x+2)/18) = 25/6

30(x+2) = 18×25

x+2 = 15

x = 13m/s

The distance between the centers of the two wheels is approximately 11.86 feet.

The length of the conveyor belt is equal to the circumference of the circle formed by each wheel plus the distance between the centers of the two wheels.

Let's call the distance between the centers of the two wheels "d". The circumference of each wheel can be calculated using the formula

C = πd

Since each wheel has a diameter of 1 foot, its radius is 0.5 feet. Therefore, the circumference of each wheel is:

C = πd = π(0.5) = 1.57 feet (approx.)

The length of the conveyor belt is given as 15 feet. So we can write

2C + d = 15

Substituting the value of C, we get

2(1.57) + d = 15

3.14 + d = 15

d = 11.86 feet

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The smallest ratio of the cake mix is the Ratio of sugar to flour which is 1/3

An equation is an expression that shows the relationship between two or more variables and numbers.

Ratio of milk to flour = 3/6 = 1/2

Ratio of sugar to milk = 2/3 = 2/3

Ratio of oil to sugar = 1/2

Ratio of sugar to flour = 2/6 = 1/3

The smallest ratio of the cake mix is the Ratio of sugar to flour which is 1/3

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Answer: SUGAR/FLOUR

Step-by-step explanation: proof / Edge 2022

Answer:

19/8

Step-by-step explanation:

To find the mixed number

Take the denominator times the whole number

8*2 = 16

Add the numerator

16+3 = 19

Put this over the denominator

19/8

Answer:

5485/45

Step-by-step explanation:

Answer:

x≤21

Step-by-step explanation:

x/3≤7

Multiply both sides by 3

3x/3≤7×3

Simplify

x≤21

Hope this helped!!!

First do 7/100 to convert the percent to a decimal, you will get 0.07, now to get 7% of $5136 multiply .07 and 5136 to get 359.52. So she had to pay $359.52 in GST

Solution :

a). \($P(0)$\) is true

Then ,\($P(0+2)=P(2)$\) is true.

         \($P(2+2)=P(4)$\) is true

          \($P(4+2)=P(6)$\) is true.

Therefore, we see that \($P(n)$\) is true for all the even integers : \($\{0, 2,4,6,...\}$\)

b). \($P(0)$\) is true

Then ,\($P(0+3)=P(3)$\) is true.

         \($P(3+3)=P(6)$\) is true

          \($P(6+3)=P(9)$\) is true.

Therefore, we see that \($P(n)$\) is true for all the multiples of 3 : \($\{0, 3,6,9,12,...\}$\)

c). \($P(0)$\) and \($P(1)$\) is true, then \($P(0+2)=P(2)$\) is true

\($P(1)$\) and \($P(2)$\) is true, then \($P(1+2)=P(3)$\) is true.

\($P(2)$\) and \($P(3)$\) is true, then \($P(2+2)=P(4)$\) is true.

So, we observe that  \($P(n)$\) is true for all the non- negative integers : \($\{0, 1,2,3,4,5,6,...\}$\).

d). \($P(0)$\) is true,

   So, \($P(0+2)$\) and \($P(0+3)$\) is true or \($P(2)$\) and \($P(3)$\) is true.

   Now,   \($P(2)$\) is true.

Again, \($P(2+2)$\) and \($P(2+3)$\) is true or \($P(4)$\) and \($P(5)$\) is true.

   Now, \($P(3)$\) is true.

Again, \($P(3+2)$\) and \($P(3+3)$\) is true or \($P(5)$\) and \($P(6)$\) is true.

Thus,

\($P(n)$\) is true for all the non- negative integers except 1 : \($\{0, 2,3,4,5,6,...\}$\).

Answer:

76

Step-by-step explanation:

(88+72+44+x)/4=70

88+72+44+x=280

204+x=280

x=76

Therefore, Tammy needs to score a 76 on her last test to get at least an average of 70.