Which choice correctly expresses the number below in scientific notation?

Answer:

[tex] \boxed{ \sf{length \: of \: a \: rectangle = 21 \: in.}}[/tex]

[tex] \boxed{ \sf{width \: of \: a \: rectangle = 10.5 \: in.}}[/tex]

Step-by-step explanation:

Let the length of a rectangle be ' l '

Width of a rectangle ( w ) = [tex] \sf{ \frac{1}{2} l}[/tex]

Perimeter of a rectangle ( P ) = 63 in.

First, finding the length of a rectangle ( l )

[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + b)}} \:[/tex]

[tex] \dashrightarrow{ \sf{63 = 2(l + \frac{1}{2} l}})[/tex]

Distribute 2 through the parentheses

[tex] \dashrightarrow{ \sf{63 = 2l + 2 \times \frac{1}{2} l}}[/tex]

[tex] \dashrightarrow{ \sf{63 = 2l + l}}[/tex]

Add the like terms : 2l and 3l

[tex] \dashrightarrow{ \sf{63 = 3l}}[/tex]

Swap the sides of the equation

[tex] \dashrightarrow {\sf{3l = 63}}[/tex]

Divide both sides by 3

[tex] \dashrightarrow{ \sf{ \frac{3l}{3} = \frac{63}{3}}} [/tex]

Calculate

[tex] \dashrightarrow{ \sf{l = 21 \: in.}}[/tex]

Length of a rectangle = 21 in.

Now, replacing / substituting the value of l in 1/2 l in order to find the width of a rectangle

[tex] \dashrightarrow{ \sf{width = \frac{1}{2} l}}[/tex]

[tex] \dashrightarrow{ \sf{width = \frac{1}{2} \times 21}}[/tex]

[tex] \dashrightarrow{ \sf{width = 10.5 \: in.}}[/tex]

Width of a rectangle = 10.5 in.

Hope I helped!

Best regards! :D

Answer:

y = 2x + 3; y = -1/3 x + 3

Step-by-step explanation:

Both lines have y-intercept 3.

The slopes are 2 and -1/3.

The equations are

y = 2x + 3; y = -1/3 x + 3

Answer:

A

y = 2x + 3; y = -1/3 x + 3

Answer: 1.3 percent increase (to the nearest 10th

Step-by-step explanation: to figure out the percent of increase, you have to take the $144 away from 649, which is $505, then divide so:

$649 - $144 = $505

$649 / $505 = 1.28...or ~1.3

Answer:

Step-by-step explanation:

x is the larger. The smaller is 4 less than the larger

x - 4 would be the smaller.

Answer:

x-4 is the smaller

Answer:

Step-by-step explanation:

A) x+9 =45

x=45 - 9

x=36 cost the tickets

B) 36 :3=12 $cost a ticket

Answer:

-8

Step-by-step explanation:

Since its going left I’m assuming it means negative. So you’re adding -7 to -1.

That gives you -8.

Answer:

2

Step-by-step explanation:

Answer:

To make 11 grape juice, you will need:

11 (1 * 11) frozen juice concentrate and

33 (3 * 11) water.

Step-by-step explanation:

Since you are making 11 grape juice containers and each container requires 1 frozen juice concentrate and 3 quantities of water, to get the maximum quantities of ingredients required, you will multiply each ingredient by 11.

With the sum of ratio as 4 (1:3), we can also say that 44 (4 * 11) units of both frozen juice concentrate and water are required to produce 11 units of the grape juice.  Dividing 44 by 4 also gives 11 units.  Similarly, dividing the total ingredients of the frozen juice of 11 units by 11 juice concentrate gives 1 unit each and dividing 33 units by 11 quantity of water gives 3 units each in every unit of the juice produced.

Answer:

KN = NM

Step-by-step explanation:

Given that:

In a triangle KNM

angle ∠ MKN = 25°

angle ∠ KNM = 130°

angle ∠ NMK = 25°

The objective is to determine what is true about the side of KNM.

The correct option is:

KN = NM

From the above, we will see that two angles are equal, which implies the triangle is likely to be an isosceles triangle. An isosceles triangle is a triangle that has two equal angles and sides.

Thus, the intersection of NK with KM is at an angle of 25°, so do NM and KM. We can thereby conclude that the two sides are equal in length provided that they possess the same angles and they intersect at the line at the same angle.

Answer: (A)

Step-by-step explanation: trust me!

Answer:

1:00 PM

Step-by-step explanation:

1500 hours is 3 PM. 3-2 = 1 So that would be 1 o'clock PM.

The perimeter of a rectangle = 2(l + w)

l = length

w = width

In this problem,

w = x

l = x + 30

the perimeter = 148

Let's plug our values into the perimeter formula above.

148ft = 2(x + x + 30ft)

Combine like terms.

148ft = 2(2x + 30ft)

Distribute the 2

148ft = 4x + 60

Subtract 60 from both sides

88ft = 4x

Divide both sides by 4

22ft = x

The width = x = 22ft

The length = x + 30 = 22 + 30 = 52ft

Answer:

The answer would be rational. Please mark brainliest.

Step-by-step explanation:

I know this because the number make up a difference of y=mx+b

Answer: -14

Step-by-step explanation:

literally just plug the numbers in the equation:

a= 2 b=5

4(2)^2-4(2)(5)+(5)2

4(4) -4(10) +10

16 - 40 + 10

-14

Hope this helps

The value of the expression 4a² - 4ab + b² is 1 if the value of a is 2, and the value of b is 5.

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

The expression:

= 4a² - 4ab + b²

Plug a = 2

b = 5

In the above expression:

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Applying arithmetic operation:

= 4(2)² - 4(2)(5) + (5)²

= 4x4 - 40 + 25

= 16 - 40 + 25

= 1

Thus, the value of the expression 4a² - 4ab + b² is 1 if the value of a is 2, and the value of b is 5.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

[tex]\frac{s-4u}{4}[/tex]

Step-by-step explanation:

[tex]s=4g+4u[/tex]

Switch sides:

[tex]4g+4u=s[/tex]

Subtract 4u from both sides:

[tex]4g+4u-4u=s-4u[/tex]

[tex]4g=s-4u[/tex]

Divide both sides by 4:

[tex]\frac{4g}{4}=\frac{s-4u}{4}[/tex]

[tex]g=\frac{s-4u}{4}[/tex]

Answer:

g= s/4-u

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

[tex]m=-\frac{53}{55} \\m=-0.963[/tex]

Step-by-step explanation:

Rewrite Equation.

[tex]7/4m+8/3m=-55/12[/tex]

Simplify.

[tex]\frac{53}{12m} =-55/12[/tex]

Simplify.

[tex]\frac{53}{12m} =-\frac{55}{12}[/tex]

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

[tex]53*12=12m*-55[/tex]

Simplify & Answer:

[tex]m=-\frac{53}{55}[/tex]

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Selected = 1000[/tex]

(a): Samples & Population

The samples are the selected data from an overall population.

In this case, the samples are the selected citizens in Seattle, Washington

Since 1000 citizens were selected

[tex]Samples = 1000[/tex]

Also, since the samples were selected from citizens in Seattle, Washington

Then the population are the citizens in Seattle, Washington

(b): Type of Statistics

From the question, we observe that the data was used to conclude that between 55% and 59% of the population would pay higher price.

This type of statistics is referred to as the inferential statistics.

Answer:

10

Step-by-step explanation:

Whenever we see "of" we know its multiplication

125% x a normal day

125% x 8

[tex]\frac{125}{100}[/tex] x 8

10

:)

Answer:

  -19.3%

Step-by-step explanation:

The percentage change in a value is computed from ...

  percent change = ((new value) -(old value))/(old value) × 100%

  = (2694 -3339)/3339 × 100% = -645/3339 × 100% ≈ -19.3%

The decrease in 50 years is about 19.3%.

Answer:

I think it's x3-x=0 but is not you can use a math app and take a picture

Answer:

-2

Step-by-step explanation:

(6,0)-(0,3)

It goes don -6 and over 3

-6/3=-2

Answer:

The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4, 6).

Because the rose garden is translated 2 yards east (2 units in the positive x-direction) and 4 yards south (4 yards in the negative y-direction), add 2 units to the x-coordinates and -4 units to the y-coordinates of all the original vertices.

A(3, 6) will become A'[(3 + 2), (6 + (-4))], or A′(5, 2).

B(3, 3) will become B'[(3 + 2), (3 + (-4))], or B′(5, -1).

C(4, 3) will become C'[(4 + 2), (3 + (-4))], or C′(6, -1).

D(4, 6) will become D'[(4 + 2), (6 + (-4))], or D′(6, 2).

Answer:

dlgSHJKAGDHFDKFKDK

Step-by-step explanation:

the least common multiple is...

(32,28,24) = 2^5 * 3 * 7 = 672

Answer:

70%

Step-by-step explanation:

49/70 = 0.7

0.7*100 = 70%

Answer:

27.43 meters in between each base, 109.72 around all the bases.

Step-by-step explanation:

There are 0.3 meters in one foot, so 0.3 x 90= 27.43. 27.43x4=109.72