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laiz [17]
3 years ago
14

the sides of a square are each multiplied by 3 to firm a new square. If the area of the original was K, then the area of the squ

are is what? PLEASE EXPLAIN THE ANSWER :(

Mathematics
1 answer:
Keith_Richards [23]3 years ago
5 0
The area of the new square is 9k. For example if in the original square, each side was 2, then k=4. 2*3=6 so each side would be 6 long. 6*6 is 36 so the new square's area is 9 times the original.
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A gasoline pump delivers 4 2/5 gallons of gas per minute. How many minutes will it take to fill a gas tank that holds 17 1/4 gal
Liono4ka [1.6K]
Well if it pumps 4 2/5 per minute that is equal to 4 4/10 in a minute or 4.4 because you multiply the top and bottom of the fraction by two. it’s still the same fraction but it is easy to convert to a decimal now. you could use this fraction but it’s much easier to use decimals. Because the first number is a decimal you should make the second one a decimal too. To do this you need to know that 1/4 of 100 is 25. so now we have these numbers and all you do now is divide 17.25 by 4.4 which could be rounded to 4 because it’s a long decimal
8 0
3 years ago
I need help with this problem.<br>please help<br><br>Directions: Solve each system by substitution.​
artcher [175]

Answer:

(-1,-6)

Step-by-step explanation:

Plug 6x for y into the bottom equation:

2x+3(6x)= -20

2x+18x= -20

20= -20

x= -1

Substitute -1 for x in the equation for y:

y=6(-1)

y=-6

I hope I could help :)

3 0
3 years ago
Read 2 more answers
In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : <img src="https://tex.z-dn.net/?f=
just olya [345]

Answer:

See Below.

Step-by-step explanation:

Statements:                                                           Reasons:

\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}      Given

\displaystyle 2) \text{ } m \angle PAB = 60                                                     Definition of equilateral.

3)\text{ } m \angle QAC = 60                                                     Definition of equilateral.

4)\text{ } m\angle PAB = m\angle QAC                                          Substitution

5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC                       Angle Addition

\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC                       Angle Addition

7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC                       Substitution

\displaystyle 8)\text{ } m\angle PAC=m\angle QAB                                         Substitution

9)\text{ } PA=BA                                                          Definition of equilateral

10)\text{ } AC=AQ                                                        Definition of equilateral

\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ                                            Side-Angle-Side Congruence*

\displaystyle 12)\text{ } PC=BQ                                                        CPCTC

* SAS Congruence:

PA = BA

∠PAC = ∠QAB

AC = AQ

6 0
2 years ago
Read 2 more answers
Mr.Johnson is planning what to wear tomorrow. He has a white shirt, a plaid shirt, and a blue shirt. He has four pairs of pants
const2013 [10]

Answer:

Mr. Johnson has 12 possibilities.

Step-by-step explanation:

The information provided are:

  • Mr. Johnson has a white shirt, a plaid shirt, and a blue shirt.
  • Mr. Johnson  has four pairs of pants, black, brown, gray, and white.
  • He chooses one shirt and one pair of pants.

Compute the number of ways to select a shirt and a pair of pants as follows:

Total number of ways = Number of Shirts × Number of pair of pants

                                     =3\times 4\\\\=12

Thus, Mr. Johnson has 12 possibilities.

8 0
3 years ago
In the annual examination, Rashmi scored 480 marks out of 600. Rajan scored 560
Kryger [21]

Answer:

They performed the same, with 80% for both of their marks.

Step-by-step explanation:

Rashmi's mark in percentage : (480/600) x 100  = 80%

Rajan's Mark in percentage : (560/700) x 100 = 80%

To find anyone's marks in percentage, you can use :

(marks scored/full marks) x 100.

3 0
3 years ago
Read 2 more answers
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