Calculate the perimeter and area of the following rectangles.
a. Length: 10 cm; Width: 8 cm
b. Length: 10 cm;
Perimeter
Area
Perimeter​

Answer:

Step-by-step explanation:

Credit card interest is what are you are charged when you don't pay your credit card bill in full each month. It works as a daily rate calculated by dividing your annual percentage rate by 365, and then multiplying your current balance by the daily rate. That amount is then added to your bill.

Answer:

Sum = 140

Step-by-step explanation:

We find all the terms, we know that every consecutive term, we add 2 until we reach 23:

Sum = 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Sum = 140

Answer:

x≥88

88

88≤x≤100

Step-by-step explanation:

83x3=249

249-73-88=88

x≥88

88

88≤x≤100

Answer:

13m²

Step-by-step explanation:

Area=6.5*4÷2=13

Answer:

13m

Step-by-step explanation:

1/2 × bas × perpendicular height

Answer:

$12 on Monday

$16 on Tuesday

$28 in total

Step-by-step explanation:

Multiply the number of pounds by the cost per pound on Monday:

3 * 4 = $12 on Monday

If you want to find the price on Tuesday as well (I know it doesn't ask for it) you can calculate 20% of 4 by multiplying:

4 * 0.2 = 0.80

Next, subtract the 20% from the normal price:

4 = 0.80 = 3.20

Finally, multiply the discounted price by the number of pounds she bought:

3.20 * 5 =  $16 on Tuesday

You can find the total of both Monday and Tuesday by adding the two together:

12 + 16 = $28.00 in total

Answer:

41

Step-by-step explanation

because this triangle is a right triangle , u know that u can use pythagorean theroem to solve this.

the pythogorean theroem is [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]. the hypotenuse is the longest side or the one that the right angle is pointing to. in the equation , the hypotenuse is represented by c.

so then u juss plug in the numbers that you have so 9 sqaured + 40 squared is equal to c sqaured.

then when you simplify that you end up with 81+1600=[tex]c^{2}[/tex]

then you add the two numbers and you get 1681=[tex]c^{2}[/tex]

u have to get the variable by itself so you find the sqaure root of each side which would look like [tex]\sqrt{1681}[/tex]=[tex]\sqrt{c}[/tex]

simplify that, and you get c=41

hopefully that helped ! :)

Answer:

If we assume 'x' an odd number let's say 1, then the other two consecutive odd integers are 1+2 and 1+4,

So assume the three consecutive odd integers be x, x+2 and x+4.

It's obvious that x is the smallest and x+4 is the largest.

Therefore 3x=9+2(x+4)

Solving for x: we get x = 17.

Hence, the three consecutive odd no. are 17, 19, 21

I hope it's helpful!

Answer:

g(x)=f(x)

f(x)=y

y+3=0

y=-3

the range of g(x) is y=-3

The range of g(x) is y=-3. The range of function is found  by equating the given function with the f(x);

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

The range of function is found  by equating the given function with the f(x);

[tex]\rm g(x)=f(x)[/tex]

The given function is represented as;

[tex]\rm y=f(x)\\\\y+3=0\\\\y=-3[/tex]

The range of g(x) is y=-3

Learn more about the function, refer;

https://brainly.com/question/5245372

#SPJ2

Answer:

[tex]Estimate = 5.0kg[/tex]

Step-by-step explanation:

Given

[tex]Weight = 1.656kg[/tex]

Required

Determine the estimated for 3 containers

Since the weight of all containers are the same, we simply multiply the given weight by the number of containers.

i.e.

[tex]Estimate = Number\ of\ containers * Weight\ of\ each[/tex]

[tex]Estimate = 3 * 1.656kg[/tex]

[tex]Estimate = 4.968kg[/tex]

[tex]Estimate = 5.0kg[/tex] --- approximated

So, the estimated weight is 5.0kg

Answer:

1.2 Cm.

Step-by-step explanation:

If you multiply these three fractions you get 1.2 Cm. Or in fraction from 6/5

Hope this helped. Please correct me if I am wrong

==========================================================

Explanation:

The jump from 30 miles to 150 miles is "times 5", meaning 30*5 = 150.

So we need to multiply both sides of the equation

30 miles = 1 cm

by 5 and we get

5*(30 miles) = 5*(1 cm)

150 miles = 5 cm

--------------------

Another way to solve:

This involves proportions

Let x be the distance on the paper map that corresponds to 150 miles

(150 miles)/(x cm) = (30 miles)/(1 cm)

150/x = 30/1

150*1 = x*30 .... cross multiply

150 = 30x

30x = 150

30x/30 = 150/30 ... divide both sides by 30

x = 5 cm is the distance on the paper map

Step-by-step explanation:

2(4x + 1) < 3(2x - 3)

8x + 2 < 6x - 9

8x - 6x < -9 -2

2x < -11

x < -11/2

Answer:

0.86

Step-by-step explanation:

You will get 0.85714.....

Then 0.86 is 2 dp

Answer:

2(5) + 3 = 13

Step-by-step explanation:

x=5

y=3

2x+y=13

2(5)+3=13

10 +3 =13

Answer:

Step 1

2x+y+-y = 13 +-y

2x=-y+13

Answer:

80 : n < 32

Step-by-step explanation:

100-20=80

Answer:

mean = 9

mode = 15

median = 8

Step-by-step explanation:

Make a circle with centre A and radius 3cm and make another circle with centre B and radius of 2.5cm. After that just mark the a cross where both circle intersects. Hope you understand

Answer:

Amanda buy first kind of pen = 3

Amanda buy second kind of pen = 2

Amanda buy third kind of pen = 15

Step-by-step explanation:

Given - Amanda went to the store to purchase ink pens. She found three    

            kinds of pens. The first cost $4 each; the price of the second kind

            was 4 for $1; and the cost for the third kind was 2 for $1. She bought

            20 pens and she bought at least one of each kind. (It is possible to

            buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was

            $20.

To find - When she got back to her office, Amanda decided to turn this into

              a math problem for me. She asked: how many of each kind did I

              buy?

Proof -

Let Amanda buy first kind of pen = x

                      second kind of pen = y

                           third kind of pen = z

As given,

She bought total pen = 20

⇒x + y + z = 20          ...............(1)

Now,

As given,

cost for first kind pen = $4 for 1 pen

As she bought x pens of first kind , so

Cost of x pens of first kind = $4x

Now,

The price of the second kind was 4 for $1

⇒Cost of second kind = $[tex]\frac{1}{4}[/tex] for 1 pen

As she bought y pens of send kind , so

Cost of y pens of second kind = $[tex]\frac{1}{4}y[/tex]

Now,

The price of the third kind was 2 for $1

⇒Cost of third kind = $[tex]\frac{1}{2}[/tex] for 1 pen

As she bought z pens of send kind , so

Cost of z pens of third kind = $[tex]\frac{1}{2}z[/tex]

Now,

As given, The cost was $20

⇒4x + [tex]\frac{1}{4}y[/tex] + [tex]\frac{1}{2}z[/tex] = 20

⇒16x + y + 2z = 80             .....................(2)

∴ we get 2 equations

x + y + z = 20                   .....................(1)

16x + y + 2z = 80             .....................(2)

Now,

Subtract equation (1) from equation (2) , we get

16x + y + 2z  - ( x+ y + z )= 80 - 20

⇒16x + y + 2z - x - y - z = 60

⇒15x + z = 60

⇒z = 60 - 15x

Now,

Put the value of z in equation (1) , we get

x + y + 60 - 15 x = 20

⇒ y - 14x = 20 - 60

⇒y - 14x = -40

⇒14x - y = 40

⇒y = 14x - 40

Now,

we get

z = 60 - 15x

y = 14x - 40

As given

she bought at least one of each kind

it means x > 1, y > 1, z > 1

Now,

If x = 1, then y = 14 - 40 = -26

Not possible

If x = 2 , then y = 14(2) - 40 = -12

Not possible

If x = 3, then y = 14(3) - 40 = 2 and z = 60 - 15(3) = 15

Possible.

If x = 4,  then y = 14(4) - 40 = 16 and z = 60 - 15(4) = 0

Not Possible.

If x = 5, then y = 14(5) - 40 = 30 and z = 60 - 15(5) = -15

Not Possible.

∴ we get

x = 3, y = 2, z = 15

Amanda buy first kind of pen = x = 3

Amanda buy second kind of pen = y = 2

Amanda buy third kind of pen = z = 15

Answer:

B.…….................

Answer:

[tex]468 {in}^{2} [/tex]

Step-by-step explanation:

see attached image, surface area is the area of each surface added together

Answer:

Step-by-step explanation:

work backwards to find the factors from the roots then multiply the factors together. y= x² - 24x + 140

Step-by-step explanation:

22

A thermally insulated vessel contains

150 g of water at 0°C. Then the air from the

vessel is pumped out adiabatically. A

fraction of water turns into ice and the rest

evaporates at 0°C itself. The mass of

evaporated water will be closest to:

(Latent heat of vaporization of

water = 2.10 x 106 Jkg - and Latent heat of

Fusion of water = 3.36 x 105J kg-1)

Answer:

What where I can't see it...

Answer:

there is nothing bro .

Algebraic expression for the given phrase is

[tex]-4+(3-1)[/tex]

Simplified answer is -2

Given :

The given phrase is  the sum of -4 and the difference of 3 and 1

To find the difference we subtract the numbers

difference of 3 and 1 is 3-1

for the sum we add it

the sum of -4 and the difference of 3 and 1

the sum of -4 and  (3-1)

Now we add it , [tex]-4+(3-1)[/tex]

Algebraic expression for the given phrase is

[tex]-4+(3-1)[/tex]

Now we simplify it

[tex]-4+(3-1)\\-4+(2)\\-2[/tex]

Learn more : brainly.com/question/24513204

Answer:

He used 2 gallons to paint the other room.

Step-by-step explanation:

g=2

Because 2+4=6

If you subtract 4 from 6 it equals 2.

Hopefully it helps.

Answer:

20

Step-by-step explanation:

Answer:

840

Step-by-step explanation:

120 is 40% of 300, and 840 is 40% of 2100 is 840.

Answer:

840

Step-by-step explanation: