A rectangle is 1 cm more than twice its width. Find the dimensions of the rectangle if it’s area is 45 cm.

Answer:

110

Step-by-step explanation:

lets assume y is the angle next to x which should complete to form a 360.

50 + 25 + 35 + y = 360

y = 250

x + y = 360

x + 250 = 360

x = 110

Answer:

110

Step-by-step explanation:

lets assume y is the angle next to x which should complete to from a 360.

50 + 25 + 35 + y = 360

y = 250

x + y = 360

x + 250 = 360

x = 110

Answer:

A

Step-by-step explanation:

For this specific question its B but If you get another order of answers its is the on that goes down to -4 then gets 8 units higher leaving it at 4.

Answer:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Step-by-step explanation:

Given that:

Roses come in a bunch of 12 flowers and

Lilies come in a bunch of 8 flowers

Number of roses ordered is equal to the number of lilies ordered.

Total number of flowers ordered are lesser than 100.

To find:

The possible number of combinations such that equal number of flowers are bought.

Solution:

Here, we need to find the Least Common Multiple.

[tex]12 = \underline{2 \times 2} \times 3[/tex]

[tex]8 = \underline{2 \times 2} \times 2[/tex]

LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]

Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.

i.e.

24, 48, 72, 96 ....

Here, two types of flowers are there.

Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.

48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.

Total possible combinations:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Answer:5x-17

Step-by-step explanation:

4x - 7 + x -10 = 0

4x + x - 7 - 10 = 0

5x - 17 = 0

5x = 17

x = 17/5

Answer:

b=−mx+y

Step-by-step explanation:

Set the two expressions equal to one another and solve for x

22x = 12x+9

22x-12x = 9

10x = 9

x = 9/10

x = 0.9

Assuming x is the number of items sold, then it is not possible to have the same amount earned for the two days. This is because we cannot sell 0.9 of an item. So it appears it is not possible to earn the same amount each day.

There is no equation, what is the equation?

Answer:

what is the equation

Step-by-step explanation:

Answer:

the first forth and fifth answers are correct.

Step-by-step explanation:

8 times 1.25 = 10

8 time 1.70 = 13.60

8 times 1.75 = 14

Answer:

2.47 feet

Step-by-step explanation:

Let l, b, and h be the length, width, and height of the box.

As the length is twice the width, so l=2b ...(i)

The volume of the box is 20 cubic feet, so

lbh=20

(2b)bh=20  [by using (i)]

[tex]h=\frac {20}{2b^2} \\\\h= \frac {10}{b^2} ...(ii)[/tex]

The material required= surface area, S, of the open box

S= lb+2bh+2lh

By using equation (i) and (ii), we have

[tex]S= 2b(b)+2b\times \frac {10}{b^2} +2(2b)\times \frac {10}{b^2}[/tex]

[tex]S= 2b^2+ \frac {20}{b} + \frac {40}{b} \\\\S= 2b^2+ \frac {60}{b} \cdots(i)[/tex]

Now, we have the surface area, S, as the function of width, b.

Differentiate S with respect to b then equate it to zero to get the extremum values, as

[tex]\frac {dS}{db}=0 \\\\\frac {d}{db}(2b^2 +60/b)=0 \\\\4b-\frac{-60}{b^2}=0 \\\\4b=\frac{60}{b^2} \\\\b^3=\frac{60}{4} \\\\b=(15)^{1/3}[/tex]

b=2.47 feet.

Now, by second differentiation, checking the nature of extremum value.

[tex]\frac {d^2S}{db^2}=4+\frac {120}{b^3}[/tex]

For [tex]b>0, \frac {d^2S}{db^2} >0[/tex]

So, the width of the box,  b=2.47,  is the minima for the area, S(b).

Hence, the width of the box that can be produced using the minimum amount of material is 2.47 feet.

Answer:

the vintage movie posters and the 2 rock posters could be priced the same, $8.

8 x 4 = 32.

the rap poster could be $6, but with the half-off coupon it comes to $3

32 + 3 = 35

assuming the gift card covers the total cost, this reasoning is correct.

Step-by-step explanation:

Answer:

True, True, False.

Step-by-step explanation:

A) Rise/Run is 8/1

B) 8 dollars are earned every hour

C) Correct equation is y=8x

Answer:

z = 33

Step-by-step explanation:

[tex]1 \frac{4}{11} \times z = 45 \\ \\ \frac{1 \times 11 + 4}{11} \times z = 45 \\ \\\frac{11 + 4}{11} \times z = 45 \\ \\\frac{15}{11} \times z = 45\\ \\z = \cancel{ 45} \: \: \red{ \bold{3}} \times \frac{11}{ \cancel{15}} \\ \\ z = 3 \times 11 \\ \\ z = 33[/tex]

Answer: x= 15

Step-by-step explanation: So to prove these two lines A and B are congruent the angles must line up which mean rules of complimentary, Supplementary and alternating angles apply. For angles 2 and 4 due to our alternating angles rule they add up to equal 180 so in math

2x+10+4x+80 = 180  or  6x+90=180  where x = 15

Answer:

96 ways

Step-by-step explanation:

Given

[tex]Day = 86400\ seconds[/tex]

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

[tex]86400/2 = 43200[/tex]

[tex]43200/2=21600[/tex]

[tex]21600/2=10800[/tex]

[tex]10800/2=5400[/tex]

[tex]5400/2= 2700[/tex]

[tex]2700/2 = 1350[/tex]

[tex]1350/2=675[/tex]

[tex]675/3=225[/tex]

[tex]225/3=75[/tex]

[tex]75/3=25[/tex]

[tex]25/5=5[/tex]

[tex]5/5 = 1[/tex]

This implies that:

[tex]86400 = 2^7 * 3^3 * 5^2[/tex]

The number of factors d is the solved by:

[tex]d = (a+1)*(b+1) *(c+1)[/tex]

Where

[tex]n = 2^a * 3^b * 5^c[/tex]

By comparison:

[tex]a = 7[/tex]

[tex]b = 3[/tex]

[tex]c=2[/tex]

So:

[tex]d = (7+1)*(3+1) *(2+1)[/tex]

[tex]d = 8*4 *3[/tex]

[tex]d = 96[/tex]

Hence, there are 96 total ways

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

To find x, we first have to solve the equation given in the question:

[tex]\frac{20}{12} = \frac{15}{x}[/tex]

[tex]20x = 15 \cdot 12[/tex]

[tex]x = \frac{180}{20}[/tex]

[tex]x = 9[/tex]

Therefore, x = 9.

Hope this helped!

Answer:

x=9

Step-by-step explanation:

We have: [tex]\frac{20}{12}[/tex]=[tex]\frac{15}{x}[/tex]

First, we can simplify 20/12 by 4

[tex]\frac{5}{3}[/tex]=[tex]\frac{15}{x}[/tex]

this is a proportion, so we can cross multiply (multiply 5 by x and 3 by 15)

5x=45

divide by 5

x=9

Hope this helps!

Answer:

The probability that the value of the second die is higher than the first

[tex]P(E) = \frac{15}{36} = \frac{5}{12}[/tex]

Step-by-step explanation:

Explanation:-

In a single throw with two dice total number of sums = 6 X 6 = 36

Let 'E' be the event of the second die is higher than the first

Total number of cases

= {( 1,1), (1,2 )( 1,3), (1,4) , (1,5) ,(1,6)

  ( 2,1), (2,2 )( 2,3), (2,4) , (2,5),(2,6)

   ( 3,1), (3,2 )( 3,3), (3,4) , (3,5),(3,6)

( 4,1), (4,2 )( 4,3), (4,4) , (4,5),(4,6)

( 5,1), (5,2 )( 5,3), (5,4) , (5,5),(5,6)

( 6,1), (6,2 )( 6,3), (6,4) , (6,5),(6,6)}

The favourable cases

      n(E) = {(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)} = 15

The probability that the value of the second die is higher than the first

[tex]P(E) = \frac{15}{36} = \frac{5}{12}[/tex]

Answer:

XAㅗYZ

XA is perpendicular to YZ

HOPE THIS WILL HELP YOU..!

Answer:

The answer is 6

Step-by-step explanation:

The highest common factor between the numbers is 6.

The greatest common factor is the largest positive number which can be divided into given numbers evenly.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two numbers are 90 and 48. The highest common factor will be calculated as,

90 = 2 x 3 x 3 x 5

48= 2x2x2x2x3

The common numbers are 2 x 3  = 6

Therefore, the highest common factor between the numbers is 6.

To know more about the greatest common factor follow

https://brainly.com/question/219464

#SPJ2

Answer: it 5 cuh

Step-by-step explanation:

Answer:

Please check the explanation and attached graph.

Step-by-step explanation:

Given the parent function

y = |x|

In order to translate the absolute function y = |x| vertically, we can use the function

g(x) = f(x) + h

when h > 0, the graph of g(x) translated h units up.

Given that the image function

y=|x|+4

It is clear that h = 4. Since 4 > 0, thus the graph y=|x|+4 translated '4' units up.

The graph of both parent and translated function is attache below.

In the graph,

The blue line represents the parent function y=|x|.

The red line represents the image function y=|x| + 4.

It is clear from the graph that the y=|x| + 4  translated '4' units up.

Please check the attached graph.

Answer:a

Step-by-step explanation:

Step-by-step explanation:

Triangle XYZ is isosceles.

Since Angle Y = 90°, Angle Z = (180° - 90°)/2 = 45°.

Answer: are there choices?

Step-by-step explanation:

Answer:

[tex] (\frac{( {4}^{2} )( {y}^{2} )}{( {2}^{3} )( {x}^{3} )( {x}^{4} )( {y}^{6} )}) ^{2} [/tex]

[tex]( \frac{({2}^{4} )( {y}^{2} )}{ ( {2}^{3} )( {x}^{7} ) ( {y}^{6} )} ) ^{2} [/tex]

So, you can do next by using basic of

Ex.

[tex] {a}^{2} {a}^{4} = {a}^{2 + 4} = {a}^{6} [/tex]

[tex] \frac{ {b}^{5} }{ {b}^{3} } = {b}^{5 - 3} = {b}^{2} [/tex]

Answer: if you see my picture that the answer for your question

Step-by-step explanation: hope this help

Answer:

10. y=-4x+3

12. y=[tex]\frac{1}{2}[/tex]x+3

Step-by-step explanation:

In order for a line to be perpendicular to another, their slopes must be opposite reciprocals.

1. Put the given equations into slope-intercept form. (y=mx+b)

2. Identify the opposite reciprocal of the original equations. (#10: -4 & #12: [tex]\frac{1}{2}[/tex])

3. Plug your given coords and opposite reciprocals into point-slope formula (y-y₁=m(x-x₁)) and simplify the expression to get your equation of the line.

Answer:

See below

Step-by-step explanation:

a). 3y-6x=48

soln

or, 3xy=48

or, xy=48÷3

or, xy=32,,

b). y=3x+11

soln

or, y=13x

or, xy=13,,

Answer:

Option (a)

Step-by-step explanation:

This question is incomplete without statements; find the statements as followed,

a). Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees.

b). Ricky's claim is incorrect since not all rotations that are multiples of 30 degrees carry a square onto itself.

c). Ricky's claim is correct since any rotation that carries a square onto itself is a multiple of 30 degrees.

d). Ricky's claim is correct since any rotation that is a multiple of 30 degrees carries a square onto itself.

Square ABCD will map onto itself when point A comes to B, C or D by a rotation about the center E with a multiple of measure of angle AEB.

m∠AEB = 90° [Diagonals of a square intersect each other at 90°]

In simpler words, if square ABCD is rotated 90° or it's multiple about the center E, square will overlap itself.

Therefore, Option (a) is correct.

Answer:

$10.11

Step-by-step explanation:

Answer:

10.11

Step-by-step explanation:

7% of 9.45 is 0.66, and 9.45 + 0.66 = 10.11, so the answer is 10.11