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viktelen [127]
3 years ago
13

Last year, 400 signed up to take a virtual kickboxing class. This year, there was a 5% increase in registrations. How many peopl

e will take virtual kickboxing this year
Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

Answer:

420 people

Step-by-step explanation:

400*1.05=420

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When placed near a second charge, a 60-μC charge experiences a force of 0.30 N. What is the electric field strength at the locat
jeka57 [31]

Answer:

E=5000N/C

Step-by-step explanation:

From the question we are told that

Charge q= 60 \mu C

Force F_=0.30N

Generally the equation for electric field strength is mathematically given as

E=F/q

E=\frac{0.30}{60*10^-^6}

Therefore

E=5000N/C

4 0
3 years ago
The info is in the picture
Jet001 [13]

Answer:

no it isn't the inverse.

3 0
3 years ago
On a recent trip to the convenience​ store, you picked up 3 gallons of​ milk, 6 bottles of​ water, and 8 ​snack-size bags of chi
SVETLANKA909090 [29]

Answer:

The answers to the question are as follows

A bottle of water costs  $2.00

A gallon of mik cots $4.10 and

A bag of chips costs $1.00

Step-by-step explanation:

To solve the question, it is important to note that it is a word problem hence we read the question carefully to clearly understnd and be able to interprete the message from any perspective

We list out the variables as follows

Number of gallons of milk = 3

Number of bottles of water = 6

Number of chips bags = 8

Bill before tax = $32.30

Price of a bottle of water = twice the price of a bag of chips

Price of a gallon of mlk  = $ 2.10 + price of a bottle of water

Therefore in order to find out how much each item costs let us call the price of  bottle of water $x say

This means that the price of a bag of chips = x/2 and

The price of a gallon of milk = x + $2.10

Therefore  we have by multiplying the prices of the items to their respective quantities and summing up

$(6x + 3(x+2.1)+ 8 x/2) = $32.3

This gives by expanding the values 6x+3x+6.3+4x =32.3

13x+6.3 =32.3

13x = 32.3 - 6.3 = 26

Dividing both sides by 13 gives

x = $2.00

This means that a bottle of water costs  $2.00

A gallon of mik cots $2.00+$2.10 = $4.10

A bag of chips costs x/2 which is equal to $2.00/2 = $1.00

8 0
3 years ago
The cost of the Ferris wheel is 1/3 of the cost of the roller coaster. the roller coaster costs $6 how much does it cost to ride
Sedbober [7]

Answer:$2

Step-by-step explanation:

the ferris wheel costs $2

5 0
2 years ago
Read 2 more answers
Find the sum of the positive integers less than 200 which are not multiples of 4 and 7​
taurus [48]

Answer:

12942 is the sum of positive integers between 1 (inclusive) and 199 (inclusive) that are not multiples of 4 and not multiples 7.

Step-by-step explanation:

For an arithmetic series with:

  • a_1 as the first term,
  • a_n as the last term, and
  • d as the common difference,

there would be \displaystyle \left(\frac{a_n - a_1}{d} + 1\right) terms, where as the sum would be \displaystyle \frac{1}{2}\, \displaystyle \underbrace{\left(\frac{a_n - a_1}{d} + 1\right)}_\text{number of terms}\, (a_1 + a_n).

Positive integers between 1 (inclusive) and 199 (inclusive) include:

1,\, 2,\, \dots,\, 199.

The common difference of this arithmetic series is 1. There would be (199 - 1) + 1 = 199 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times ((199 - 1) + 1) \times (1 + 199) = 19900 \end{aligned}.

Similarly, positive integers between 1 (inclusive) and 199 (inclusive) that are multiples of 4 include:

4,\, 8,\, \dots,\, 196.

The common difference of this arithmetic series is 4. There would be (196 - 4) / 4 + 1 = 49 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times 49 \times (4 + 196) = 4900 \end{aligned}

Positive integers between 1 (inclusive) and 199 (inclusive) that are multiples of 7 include:

7,\, 14,\, \dots,\, 196.

The common difference of this arithmetic series is 7. There would be (196 - 7) / 7 + 1 = 28 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times 28 \times (7 + 196) = 2842 \end{aligned}

Positive integers between 1 (inclusive) and 199 (inclusive) that are multiples of 28 (integers that are both multiples of 4 and multiples of 7) include:

28,\, 56,\, \dots,\, 196.

The common difference of this arithmetic series is 28. There would be (196 - 28) / 28 + 1 = 7 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times 7 \times (28 + 196) = 784 \end{aligned}.

The requested sum will be equal to:

  • the sum of all integers from 1 to 199,
  • minus the sum of all integer multiples of 4 between 1\! and 199\!, and the sum integer multiples of 7 between 1 and 199,
  • plus the sum of all integer multiples of 28 between 1 and 199- these numbers were subtracted twice in the previous step and should be added back to the sum once.

That is:

19900 - 4900 - 2842 + 784 = 12942.

8 0
3 years ago
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