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DanielleElmas [232]
3 years ago
5

In the equation 5x - 4 = 71, what is the constant

Mathematics
2 answers:
Dovator [93]3 years ago
8 0

Answer:

I believe the Constant is 4, because the constant is supposed to be a stand alone number.

Step-by-step explanation:

ohaa [14]3 years ago
3 0

Answer:

4

Step-by-step explanation:

a constant is a number that doesn't change

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The store has put up a robotics kit on sale for 25% off the original price of $250, AND you have a coupon for an additional 20%
Ganezh [65]

A. If you use only the coupon you will have to pay $137.50.

B. Using the Coupon during the sale, the kit is discounted by $112.50

C. The total percent discount is 45% after both discounts.

Step-by-step explanation:

Step 1; The store has the robotics kit for a sale of 25% off $250. So we need to find how much 25% is in terms of $250. To do that we convert 25% into a fraction by dividing it by 100 and multiplying it with $250.

25% of  $250 = \frac{25}{100} × $250 = 0.25 × $250 = $62.50

So we find the cost of the kit due to the store's discount. To do that we subtract the discounted price from the original price.

Robotics kit price after 25% discount = $250 - $62.50 = $187.50.

Step 2; A coupon you have gives you an additional 20% discount. So the robotics kit can be brought for 25% off due to the sale at the store, due to this coupon you get an additional 20%. So you get a 45% discount off $250.

45% of  $250 = \frac{45}{100} × $250 = 0.45 × $250 = $112.50.

So to find the total discount we subtract this $112.50 from the non-discounted cost of $250.

Total discounted price = $250 - $112.50 = $137.50.

6 0
3 years ago
For a party in kindergarten balloons of three colors were bought: red, green, and yellow. There were 40 red balloons, the number
marta [7]

Answer: Total number of balloons are 100

and part of balloon is blown up is \frac{1}{20}.

Step-by-step explanation:

Since we have given that

Number of red balloons = 40

Number of green balloons is given by

\frac{3}{5}\times 40\\\\=3\times 8\\\\=24

Number of yellow balloons is given by

24\times \frac{3}{2}\\\\=12\times 3\\\\=36

So, Total number of balloons were brought to the kindergarten is given by

40+24+36=100

Number of red balloons are popped is given by

\frac{1}{20}\times 40\\\\=2

Number of green balloons are popped is given by

\frac{1}{12}\times 24\\\\=2

Number of yellow balloons are popped is given by

\frac{1}{36}\times 36\\\\=1

total number of balloons are blown up is given by

2+2+1=5

Therefore, Part of balloon is blown up is given by

\frac{5}{100}=\frac{1}{20}

Hence, Total number of balloons are 100

and part of balloon is blown up is \frac{1}{20}.

3 0
3 years ago
How do I convert 82.1, 7.3, 9.3 in a fraction form
nalin [4]

Answer:

Step-by-step explanation:

82.1 = 82 1/10 (thats 82 and 1/10) or 821/10 (if you dont want a mixed number)

7.3 = 7 3/10 or 73/10

9.3 = 9 3/10 or 93/10

if there is 1 number to the right of the decimal, put that number over 10....not the whole number, just the number to the right of the decimal. Leave the number to the left of the decimal alone.

if there were 2 numbers to the right of the decimal, then put those two numbers over 100.

example :

3.43 = 3 43/100

2.76 = 2 76/100

if there were 3 numbers to the right of the decimal, put those 3 numbers over 1000

example :

2.347 = 2 347/1000

3.679 = 3 679/1000

you understand ?

5 0
3 years ago
Match the function in the left column with its period in the right column.
kiruha [24]

The results for the matching between function and its period are:

  • Option 1 - Letter D
  • Option 2 - Letter A
  • Option 3 - Letter C
  • Option 4 - Letter B

<h3>What is a Period of a Function?</h3>

If a given function presents repetitions, you can define the period as the smallest part of this repetition. As an example of periodic functions, you have: sin(x) and cos(x).

\mathrm{Period\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}

\mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\sin \left(x\right)}{|b|}

The period of sin(x) and cos(x) is 2π.

For solving this question, you should analyze each option to find its period.

1) Option 1

\mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}\\ \\ \mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{2\pi }{\frac{1}{2} }=4\pi

Thus, the option 1 matches with the letter D.

2) Option 2

\mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\sin \left(x\right)}{|b|}\\ \\ \mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{2\pi}{4} =\frac{\pi }{2}

Thus, the option 2 matches with the letter A.

3) Option 3

\mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}\\ \\ \mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{2\pi}{2} =\pi

Thus, the option 3 matches with the letter C.

4) Option 4

\mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\sin \left(x\right)}{|b|}\\ \\ \mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{2\pi}{8} =\frac{\pi }{4}

Thus, the option 4 matches with the letter B.

Read more about the period of a trigonometric function here:

brainly.com/question/9718162

#SPJ1

6 0
2 years ago
 In The Diagram, P, Q, R, Are Points On The Circle With Centre 0 And Diameter 14cm. Angle PQR=35 Degree. Find, Correct To One De
patriot [66]

Answer:

a

Step-by-step explanation:

because the diagram the length decimal place degree

8 0
3 years ago
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