Area of a rectangle is 540 sq m. If the length was reduced by 5m and the width was increased by 5m, the are of the rectangle will be increased 35 sq m. Calculate the length and the width of the first rectangle

Answer:

C. 2 1/8 ounces

Step-by-step explanation:

The kitten gained 2 1/8 ounces, and you can prove it through the following reasoning.

Kitten at birth was 3 3/8 ounces

Gained Weight (WG) was (unknown)

The kitten was 5 1/2 after being sold.

5 1/2 - 3 3/8 = GW (please note that 1/2 is also 4/8, therefore the equation can be represented by 5 4/8 - 3 3/8 = GW

2 1/8 = GW

Answer: The kitten gained 2 1/8 ounces

Step-by-step explanation:

We have to find the difference between the weights of kitten.

5 1/2 - 3 3/8 = weight gained

We solve the compound fraction like this.

5 1/2

2*5+1 = 11

This goes to 11/2

While

3 3/8

8*3+3 = 27

This goes to 27/8

So we subtract 11/2 - 27/8

44 - 27/8

17 / 8

This comes to 2 1/8 ounces.

Answer:

Step-by-step explanation:

If the lines are parallel, then angles 1, 7, 3, and 5 are congruent because they are vertical/corresponding angles.

Therefore, they are all 113 degrees. For the rest of them, you just subtract from 180 to get 67. Therefore,

2 = 67 degrees

3 = 113 degrees

4 = 67 degrees

5 = 113 degrees

6 = 67 degrees

7 = 113 degrees

8 = 67 degrees

Arpita's present age is found using the information about Shilpa's age three years ago and the fact that Arpita's age is three times Shilpa's age.

To find Arpita's present age, we need to solve the equation involving their ages. Let's assume Shilpa's age three years ago was x. According to the problem, Arpita's age is three times Shilpa's age, so Arpita's age three years ago was 3x. Now, let's find Arpita's present age.

Therefore, Arpita's present age is 3x + 3.

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Answer:

Step-by-step explanation: I would say the 43 which is 2005.The reason for my answer is because you first write down the years. Then write down the price beside the years. Then you put them in order from greatest to least or least to greatest.Once you find out the least value then find the year that price was in. Hope this helps!!!

Please amrk brainliest

Answer:

$67.20

Step-by-step explanation:

We need to find out how much 1% costs so we can multiply that cost by 12 because it goes up 12%.

60/100=0.6

0.6*12=7.2

Now that we have the markup amount we add it to the actual price of $60 so

60+7.2=$60.20

Answer:

66°

Step-by-step explanation:

the base angles of an isosceles triangle are equal

the sum of the 3 angles in a triangle = 180°

subtract the vertex angle from 180 and divide the result by 2

base angles = 180° - 48° = 132°

base angle = [tex]\frac{132}{2}[/tex] = 66°

Answer:

x = 57.22754579  

Step-by-step explanation:

We know cos 63 = adjacent/ hypotenuse

                  cos 63 =  15 sqrt(3)/x

Multiply each side by x

x cos 63 =15 sqrt( 3 )

Divide each side by cos 63

x cos (63)/ cos (63) = 15 sqrt(3)/cos (63)

  x = 15 sqrt(3)/ cos 63

x = 57.22754579  

Answer:

expression for total cost is given by

[tex]0.80(3.95x+4.25y+5.99z)[/tex]

Step-by-step explanation:

Here we need to find the expression for the total cost

Let us find the cost for x pounds of peanut , y pounds of cashews and z pounds of almonds

cost of 1 pound of peanut = $3.95

cost of x pounds of peanut = $3.95x

cost of 1 pound of cashews = $4.25

cost of y pounds of cashews = $4.25y

cost of 1 pounds of almonds = $5.99

cost of z pounds of almonds = $5.99z

total cost = [tex]3.95x+4.25y+5.99z[/tex]

cost after 20% off = total cost - 20% of total cost

                                         = 80% of total cost  

cost after 20% off =80%[tex](3.95x+4.25y+5.99z)[/tex]

cost after 20% off =[tex]0.80(3.95x+4.25y+5.99z)[/tex]

now we can plug x= 2 , y= 3 and z=1

so we have

cost after 20% off =[tex]0.80(3.95(2)+4.25(3)+5.99(1))[/tex]  =$ 21.31          

The expression is ((2 x $3.95) + (3 x $4.25) + (1 x $5.99)) x (1 - 0.20) which equals to $21.31.

To find the total cost of 2 pounds of peanuts, 3 pounds of cashews, and 1 pound of almonds with a 20% discount, we need to first calculate the original total cost of the nuts without the discount.

We do this by multiplying each type of nut's price per pound by the number of pounds purchased and summing these amounts up.

The cost for the peanuts is 2 pounds x $3.95 per pound = $7.90.

For the cashews, it is 3 pounds x $4.25 per pound = $12.75.

For the almonds, it is 1 pound x $5.99 per pound = $5.99.

The sum of these costs will give us the total original cost.

The total original cost is therefore $7.90 (peanuts) + $12.75 (cashews) + $5.99 (almonds) = $26.64.

Next, we apply the 20% discount by multiplying the total original cost by 20% (or 0.20) to find the discount amount, and then subtract this discount amount from the total original cost to find the discounted total cost:

Discount amount = $26.64  imes 0.20 = $5.33. Discounted total cost = $26.64 - $5.33 = $21.31.

Therefore, the expression that can be used to find the total cost is: ((2 x $3.95) + (3 x $4.25) + (1 x $5.99)) x (1 - 0.20)

Answer:

Last choice

Step-by-step explanation:

Let's assume m is the "y" (dependent variable) and d is the "x" (independent variable) because the number of minutes is larger, and that would make more sense.

5760/4=1440

10080/7=1440

...

Slope is 1440, and it is direct variation

m=1440d

It COULD also be the third choice, but mathematical convention would have us put the coefficient first.

Answer: 18%

There are 1879 people who are in the "graduate" row and "receiving aid" column. This is out of 10730 people total (bottom right corner)

The probability is 1879/10730 = 0.175 approximately which converts to 17.5% which rounds to 18%

The coefficients and constants of the equations are proportional to each other because the graphs of the two equations overlap each other.

The correct option is C.

When Henry multiplied the first equation by -3 and added the two equations together, resulting in the equation 0 = 0, it indicated that the two original equations were dependent and represented the same line. This means that the system of equations has infinitely many solutions. Each point on the line represented by the equations satisfies both equations simultaneously.

When Henry graphed the equations on his graphing calculator and saw only one line, it further confirmed that the two equations are identical or overlapping. The lack of a visible second line indicates that the graphs coincide with each other, overlapping perfectly. This occurs because the coefficients and constants of the equations are proportional to each other, resulting in the same line when graphed.

Hence, option C is the correct choice, as the overlapping of the graphs confirms that the system of equations has infinitely many solutions.

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Answer:

6.6 stone

Step-by-step explanation:

We will use conversions to change kilograms to stones

1 kilogram= 2.2 pounds,

1 stone= 14 pounds

42 kilogram          2.2 lbs           1 stone

---------------       * -------------   * ---------------

                           1 kg                 14 lbs

All the units cancel except stone

(42*2.2)/14  stone

6.6 stone

Answer:

42 kilograms is equal to 6.6 stones.

Step-by-step explanation:

Given :

1 kilogram = 2.2 pounds

1 stone = 14 pounds

42 kilograms into stones  =  ? stones

Solution:

42 kilograms = [tex]42\times 2.2 pounds=92.4 pounds[/tex]

And , 1 stone = 14 pounds

[tex]1 pound = \frac{1}{14} stones[/tex]

[tex]92.4 pounds=92.4\times \frac{1}{14} stones=6.6 stones[/tex]

So, 42 kilograms is equal to 6.6 stones.

The number of points scored by the Giants is 17 points

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of points scored by the Cowboys = C

Let the number of points scored by the Giants = G

The number of points scored by Cowboys C = 41 points

Now , the equation is

The Cowboys scored 10 less than three times the number of points that the Giants scored

So ,

C = 3G - 10

Substituting the values of C and G in the equation , we get

41 = 3G - 10

3G - 10 = 41

Adding 10 on both sides of the equation , we get

3G = 51

Divide by 3 on both sides of the equation , we get

G = 17

Therefore , the value of G is 17 points

Hence , The number of points scored by the Giants is 17 points

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Final answer:

The Giants scored 17 points in the last game.

Explanation:

To find the number of points the Giants scored, we need to set up an equation using the given information. Let's represent the number of points scored by the Giants as 'G'.

According to the problem, the Cowboys scored 10 less than three times the number of points the Giants scored, which can be written as: 3G - 10 = 41. To solve this equation, we can add 10 to both sides: 3G = 51.

Finally, divide both sides by 3 to find the value of G: G = 17.

Answer:

r=201

d = 77 1/2

Step-by-step explanation:

6) First multiply left and right by 16, to get rid of the fraction:

r - 25 = 11*16

Now add 25 left and right:

r = 11*16 + 25 = 201

7) Add 5 left and right

2/5 d = 31

multiply by 5/2

d = 31 * 5/2 = 77 1/2

Answer:

2√5 + 9√7

Step-by-step explanation:

The given expression is

2√20 - 3√7 - 2√5 + 4√63

√20 = √4√5 = 2√5

√63 = √9√7= 3 √7

Now replace the above value with the given expression

2*2√5 - 3√7 -2√5+4*3√7

= 4√5 - 3√7-2√5+12√7

= 4√5 -2√5 - 3√7 +12√7

Simplifying the like terms, we get

= 2√5 + 9√7

Thank you.

The expression 2 sqrt(20) - 3 sqrt(7) - 2 sqrt(5) + 4 sqrt(63) simplifies to 2 sqrt(5) + 9 sqrt(7) after breaking down and combining like radicals.

We start by simplifying each radical. Notice that sqrt(20) can be written as sqrt(4*5), which simplifies to 2sqrt(5). Similarly, sqrt(63) can be written as sqrt(9*7), which simplifies to 3sqrt(7). Therefore, our expression becomes:
2(2sqrt(5)) - 3sqrt(7) - 2sqrt(5) + 4(3sqrt(7)) = 4sqrt(5) - 2sqrt(5) - 3sqrt(7) + 12sqrt(7) = 2sqrt(5) + 9sqrt(7). This gives us the simplified form of the original expression.

i would use cymath or photo math

ps im not a bot lol

Answer:

f(1) = -3

f(8) =3

f^-1 (5) =2

f^-1 (2) =4

Step-by-step explanation:

f(1) = is the value when x=1  which is -3

f(8) = is the value when x=8 which is 3

f^-1(5) is x value when   y=5  so find y=5 in the table and read the x value  x=2

f^-1 (2) is the x value when y=2 so find y=2 in the table and read the x value  x=4

Answer:

87 is the prime number

Step-by-step explanation:

the only factor of 87 is 1 and 87 which makes it prime

BRAINIEST PLZZZZZZ.

Answer:

Your answer should be point (7,3)

Step-by-step explanation:

Answer:

7,3

Step-by-step explanation:

Answer:

[tex]\frac{170}{100}m[/tex]

[tex]1.7m[/tex]

Step-by-step explanation:

Here,

Before the outbreak, the average wait time at the hospital was m minutes,

Also, after outbreak it is increased by 70 %,

So, the average wait time at the hospital after the outbreak = The average wait time before outbreak + 70 % of the average wait time before outbreak

= m + 70 % of m

[tex]=m+\frac{70m}{100}[/tex]

[tex]=\frac{100m+70m}{100}[/tex]

[tex]=\frac{170m}{100}[/tex]

[tex]=1.7m[/tex]

Hence, the expressions could represent the average time at the hospital after the outbreak would be,

[tex]\frac{170}{100}m[/tex]

[tex]1.7m[/tex]

Answer:

x=7

Step-by-step explanation:

The two triangles are similar .

We can use the ratio's of the side to figure out x

2                3.5

-------- = --------------

4               x

Using cross products

2x = 4*3.5

2x=14

Divide each side by 2.

2x/2 = 14/2

x=7

the length of x = 7.

To solve for x using the given ratios of the sides of the two similar triangles, we can follow these steps:

Set up the proportion using the given ratios:

[tex]\[ \frac{2}{4} = \frac{3.5}{x} \][/tex]

Cross multiply:

[tex]\[ 2x = 4 \times 3.5 \][/tex]

Perform the multiplication on the right side:

2x = 14

To solve for x, divide both sides of the equation by 2:

[tex]\[ \frac{2x}{2} = \frac{14}{2} \][/tex]

Simplify both sides:

[tex]\[ x = \frac{14}{2} \][/tex]

Calculate the value:

x = 7

So, x = 7.

Find the length of x.

Answer: white = $13, double = $14

Step-by-step explanation:

Let white chocolate chip dough = x

Let double chocolate chip dough = y

Mary:      3x + 2y = 67

Darryl:   -(3x + 4y = 95)

                     -2y = -28

                  ÷-2    ÷-2  

                        y = 14

3x + 2y = 67

3x + 2(14) = 67

3x + 28 = 67

      -28  -28

3x         = 39  

÷3           ÷3  

 x         = 13

You just add the amount she spent and the amount she had left over to find out how much she had before she went into the game store. So 9.72+34.79 is $44.51. Hopefully this helped her out.

Answer:

Add the amount that is left over to them game money

Step-by-step explanation:

34.79 + 9.72 = 44.51 dollars

She had 44.51 before she went to the game store

The actual measurements are 12 feet by 24 feet.

The ratio between a distance on a map and its corresponding distance on the ground is referred to as the "map scale."

The scale of a map is the proportion between the distance shown on paper and the actual distance on the ground.

Given:

1 inch = 16 feet.

Dimension of bedroom on blue print is 0.75 inches x 1.5 inches.

so, the actual dimension of bedroom is

= 0.75 x 16 by 1.5 x 16

= 12 feet by 24 feet.

Hence, the actual measurements are 12 feet by 24 feet.

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Answer: 6

Step-by-step explanation:

NOTE: log₆6 = 1

log₆6 + log₆(x - 5) = log₆6

  1      + log₆(x - 5) =    1

            log₆(x - 5) =    0

                    x - 5  =  6⁰

                    x - 5  =  1

                    x       = 6

Answer:

16%

Step-by-step explanation:

The mean is $15 and the standar deviation is $3.

mean = 15  and SD = 3

We need to find percentage less than 12 per hour

P(x<12)= P(x=12)

to find P(x=12) we find z-score

[tex]z= \frac{x-mean}{SD} =\frac{12-15}{3} =-1[/tex]

Now use z-score table . z-score = 0.1587

P(x=12)=0.1587

To get percentage we multiply by 100

0.1587 * 100 = 15.87 = 16%

Each can is 4.5 inches tall, multiply that by 3 cans to get the total height of the cans:

4.5 * 3 = 13.5 inches ( total height of the three cans)

It snowed for 7 hours.

The first 3 hours it snowed 2 inches per hour:

2 inches  x 3 hours = 6 total inches.

7 hours - 3 hours = 4 hours left.

2 hours it snowed 1.5 inches per hour:

2 * 1.5 = 3 total inches.

4 hours - 2 hours = 2 hours left

2 hours x 1 inch per hour = 2 total inches.

Total snow fall = 6 + 3 + 2 = 11 inches.

11 inches is less than the height of the three cans.

2. 11 inches / 12 inches per foot = 0.9167 feet.

Volume of snow = 2 x 8 x 0.9167 14.67 cubic feet of snow needs to be removed.

Answer:

5(5+6)

Step-by-step explanation:

25+30

Lets factor each expression

25 = 5*5

30 = 5*6

We can factor out a 5

5(5+6)

Answer:

25.22

Step-by-step explanation:

7.76/4 and then after the unit rate you multipy it by 13

Answer:

13 glue sticks cost $25.22

Step-by-step explanation:

We can use ratio's to solve this problem.  We put price over number of sticks.

$7.76            x dollars

------------- = ---------------

4 sticks          13 sticks

Using cross products

7.76 * 13 = 4 * x

100.88 =4x

Divide each side by 4

100.88 /4 = 4x/4

$25.22 =x

Answer:

The answer is 84

hope this helps :)

Answer:

$84

Step-by-step explanation:

I did it on edg. 2020