d) Make a is the subject of the formula, ab + bc = ad
e) Define Pythagoras' Theorem.

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

Method 1

Use your calculator to find the decimal version of each fraction

We see that 0.20 is the smallest decimal of the list, so 1/5 is the smallest fraction of the list.

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

Method 2

To compare fractions, we need to get all of the denominators to the same value. A good target is the lowest common denominator (LCD)

In this case, the LCD is 100

The last fraction has the smallest denominator, so 1/5 is the smallest.

Answer:

x = 0.2

Step-by-step explanation:

-7.8x = -1.56

-1.56/-7.8 = 0.2

x = 0.2

Answer:

[tex]x =\frac{1}{5}[/tex] or [tex]0.2[/tex] (they're the same)

Step-by-step explanation:

Answer:

you do subtraction than the plus and you got your answer!

Hope this helps :)

Answer:

7h - 15h + 40 = -72

-8h + 40 = -72

take +40 on the other side of equation

-8h = -72-40

-8h = -112

h = -112/-8

h = 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](4,3)=(x_1,y_1)\\(-4,-4)=(x_2,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-3}{x-4}= \frac{-4-3}{-4-4}\\\\\frac{y-3}{x-4}=\frac{-7}{-8} \\-8(y-3) =-7(x-4)\\-8y +24=-7x +28\\-8y =-7x +28-24\\-8y = -7x +4\\Divde\:both\:sides\:of\:the\:equation\:by\: -8\\\\\frac{-8y}{-8} = \frac{-7x}{-8} +\frac{4}{-8}\\\\y = \frac{7}{8}x -\frac{1}{2}[/tex]

Answer:

p = -7/3

Step-by-step explanation:

-2 = 6/7p

multiply each side by (7/6)

-2(7/6) = 6/7p(7/6)

-7/3 = p

Answer:

[tex]-\frac{7}{3}[/tex]

Step-by-step explanation:

Answer:

A) 2

B) 13/16

A) If 1 3/8 = 1 scarf

7 1/2 = 7 1/2 ÷ 1 3/8

= 2.8125

so 7 1/2 can make 2 scarfs

B) remaining fabric is 0.8125

= 13/16

Answer:

p = [tex]\frac{q-5r}{2}[/tex]

Step-by-step explanation:

Given

2p + 5r = q ( subtract 5r from both sides )

2p = q - 5r ( divide both sides by 2 )

p = [tex]\frac{q-5r}{2}[/tex]

A= 0,-3

D= -4,-3

C= 0,4

B= 3,3

Step-by-step explanation:

,

Answer:

0 < x < 9

Step-by-step explanation:

Mary's age = x

Twice of Mary's age = 2x

Emily's age = (2x + 3) (we are told Emily is 3 years older than twice of Mary's age)

Given that the sum of their ages is > 30, we have the following expression:

[tex] (2x + 3) + x [/tex] > 30

Let's simply:

[tex] 2x + 3 + x [/tex] > 30

[tex] 3x + 3 [/tex] > 30

Subtract 3 from both sides

[tex] 3x + 3 - 3 [/tex] > [tex] 30 - 3 [/tex]

[tex] 3x [/tex] > [tex] 27 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} [/tex] > [tex] \frac{27}{3} [/tex]

[tex] x [/tex] > [tex] 9 [/tex]

Therefore, the inequality that represents Mary's possible age is: 0 < x < 9

Answer:

20

Step-by-step explanation:

1/3 = .3

6/.3  = 20

Answer:

18

Step-by-step explanation:

6 ÷ 1/3

changing the ÷ sign into × sign and taking reciprocal of the second term

6 × 3/1

putting 1 as the denominator of 6

6/1 × 3/1

now multiplying both terms

18/1

18

Answer:  A. w = x+y

Step-by-step explanation:

w is an exterior  angle so the two remote angles x and y has to equal it.

Answer:

w = x+y

Step-by-step explanation:

The exterior angle of the triangle is equal to the sum of the opposite interior angles of the triangle

w = x+y

Answer: 6

Step-by-step explanation:

Given: Gomez has 30 cans of regular soda and 18 cans of diet soda.

He wants to create some identical refreshment tables that will operate during the football game and doesn't want any sodas left over.

Then, the greatest number of refreshment tables that Gomez can stock = GCD (30,18).

Since, 30=  2 x 5 x x 3

18= 2 x 3 x 3

GCD (30,18) = 2 x 3 = 6

Hence, the greatest number of refreshment tables that Gomez can stock is 6.

Answer:

5.52 miles

Step-by-step explanation:

All you need to do in multiply 1.2 by 4.6 like this:

1.2 x 4.6 = 5.52 miles

I hope this helps

Step-by-step explanation:

The distributive property is as follows :

[tex]a(b+c)=ab+ac[/tex] ....(1)

We need to solve [tex]24(\dfrac{d}{4}-5)=156[/tex] using distributive property

Applying property (1) on the LHS of given equation

Taking a = 24, b = d/4 and c = -5

So,

[tex]24(\dfrac{d}{4}+(-5))=156\\\\24\times \dfrac{d}{4}+24\times (-5)=156\\\\6d-120=156\\\\6d=156+120\\\\6d=276\\\\d=\dfrac{276}{6}\\\\d=46[/tex]

So, we get the value of d as 6 using distributive property.

Answer:

Step-by-step explanation:

Let the height of their oldest sister isabella be z centimeters. Roger is x centimeters tall and Olivia is y centimeters tall.

If their oldest sister, Isabella, is 25 centimeters shorter than the double of the sum of Roger and Olivia's height, this can be expressed as shown;

First let us get the sum of Roger and Olivia's height;

The sum of Roger and Olivia's height = (x+y)cm

The double of the sum of their ages = 2* (x+y)cm = 2(x+y)cm

Now if Isabella, is 25 centimeters shorter than the double of the sum of their ages, the expression will be [2(x+y)-25]

Since the height of isabella is z, the expression that model isabella's height will be expressed as z =[2(x+y)-25]cm

Answer:

(2 (4 x + 5), -(3 x + 25))

Step-by-step explanation:

Simplify the following:

(12 x - 4 x + 3 + 7, 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

Grouping like terms, 12 x - 4 x + 3 + 7 = (12 x - 4 x) + (3 + 7):

((12 x - 4 x) + (3 + 7), 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

12 x - 4 x = 8 x:

(8 x + (3 + 7), 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

3 + 7 = 10:

(8 x + 10, 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

Factor 2 out of 8 x + 10:

(2 (4 x + 5), 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

Grouping like terms, 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8 = (-7 x + 2 x - 3 x + 5 x) + (8 - 13 - 18 - 2):

(2 (4 x + 5), (-7 x + 2 x - 3 x + 5 x) + (8 - 13 - 18 - 2))

-7 x + 2 x - 3 x + 5 x = -3 x:

(2 (4 x + 5), -3 x + (8 - 13 - 18 - 2))

8 - 13 - 18 - 2 = -25:

(2 (4 x + 5), -25 - 3 x)

Factor -1 out of -3 x - 25:

Answer: (2 (4 x + 5), -(3 x + 25))

Answer: ∠ABE=20°

Step-by-step explanation:

∵ AB=BC

∴ ΔABC is a isosceles triangle

∵ ∠A=30

∴ ∠C=30

∵ The interior angle sum of triangle is 180°

∵ ∠A+∠B+∠C=180

    30+∠B+30=180

           ∠B+60=180

                  ∠B=120 (∠ABC)

∵ ∠EBD+∠ABE+∠ABC=linear pair

∴∠EBD+∠ABE+∠ABC=180°

                  4x+2x+120=180

                        6x+120=180

                                6x=60

                                  x=10

∠ABE=2x=2(10)=20°

Hope this helps!! :)

Please let me know if you have any question

Answer:

Josephine

Step-by-step explanation:

2 criteria was given to pass an exam:

1. At least, a mean mark of 40% must be achieved in the exam consisting of 4 papers

2. Score at least, 33% in each paper.

From the table given, and considering these two criteria, James definitely didn't pass the examination. He scored below 33% in one of the 4 papers. James scored 30% in Maths

Calculated the mean score for John and Josephine to determine if they meet the first criteria of having at least a mean score of 40%.

Mean score of John = (35 + 36 + 42 + 44) ÷ 4 = 39.25%

Mean score for Josephine = (60 + 55 + 38 + 75) ÷ 4 = 57%

Josephine passed the examination because she had a mean score of 57%, and also scored 33% and above in each test.

Answer:

$4.161616 =

As a fraction

= $[(4 × 62500) + 10101]/62500

= $(260101/62500)

As a mixed number =

$[tex]4\frac{10101}{62500}[/tex]

Step-by-step explanation:

Cost of making a computer component = $4.161616

= $4 + $0.161616

6 numbers after the decimal , hence

0.161616 × 1000000/1000000

= 161616/1000000

= 10101/62500

We are told in the question to write the repetiting decimal cost as a fraction and as a mixed number

$4 + $0.161616 = $4 + 10101/62500

As a fraction

= $[(4 × 62500) + 10101]/62500

=$260101/62500

As a mixed number = [tex]$4\frac{10101}{62500}[/tex]

Answer:

[tex]f(x)=2x+3[/tex]

Step-by-step explanation:

So we know that:

[tex]f(1)=5 \text{ and } f(3)=9[/tex]

In other words, we have 2 coordinates: (1,5) and (3,9).

With this, we can figure out the slope. Let (1,5) be x₁ and y₁ and let (3,9) be x₂ and y₂. The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\frac{9-5}{3-1}\\m=4/2=2[/tex]

So, the slope is 2.

Now, use the point-slope form to figure out the y-intercept. The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

For consistency, let's continue to use (1,5) as x₁ and y₁. Now, we can use 2 as m. Thus:

[tex]y-(5)=2(x-1)[/tex]

Distribute:

[tex]y-5=2x-2[/tex]

Add 5 to both sides:

[tex]y=2x+3[/tex]

So:

[tex]f(x)=2x+3[/tex]

And that's our equation :)

Answer:

91

Step-by-step explanation:

the angle adjacent to x is corrsponding with angle 89 meaning it is the same:

180 - 89 = 91

Answer: Badwater is 282 feet below the sea level.

Step-by-step explanation:

Given: Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters.

To find the depth of Badwater we need to add depth of Death Valley headquarters from sea level to the depth of Badwater from Death valley headquarters.

i.e. The Depth of Badwater from sea-level = 190 feet +92 feet

= 282 feet

Hence, Badwater is 282 feet below the sea level.

Answer:

282

Step-by-step explanation:

190+(92)=282

Thank you! :)

Answer:

ABH and HBC ---- Complementary angles ( Sum of complementary anfges = 90 degrees )

ABE and FBG------Vertical angles (they are vertically opposite to each other and sum of the vertical angles =180

ABE and EBG-------Supplementary angles ( Sum of supplementary angles =180 degrees)

HBF and FBG----------Adjacent Angles(These two angles are next to each other/adjacent to each other )

Answer:

153 cm^2

Step-by-step explanation:

The area is given by

A = b*h

   = 17*9

    =153 cm^2

Answer:

Step-by-step explanation:

A=(b1+b2/2)h

The formula is area= base 1 plus base 2 over 2 times the height.

The two bases are 17 cm.  Let's add that in our formula.

A=(17+17/2)h

17+17= 34.  Since 34 is over 2 in the parentheses, let's simplify that first.

A=(34/2)h

A=(17)h, because 34 divided by 2 is 17

The height, h, is 9 cm.  Let's subsitute that into h.

A=(17)9

17 times 9 equals 153, so the area is 153² cm.  :)

Step-by-step explanation:

that's it!! pls mark me as Branliest..

Answer:

63

Step-by-step explanation:

-1,5,15,29,41,63

between the 2nd term and first term, we add 6

between the 3rd and 2nd, we add 10

between 4th and 3rd, we add 14

between 5th and 4th, we add 12

to get the next term, we add 22 to the fifth tern which is 63

this is how to get the 4th term 6 interval was added to 8 making 14 and to get the fifth, then add 2 to the difference of 10 making 12. 29+12=41..so to get the last term 14 was added to 8 making 22 and therefore 41+22=63

Answer:

is number one ka matalab hindi me janiye to the meeting ko join date puchhrahai hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to

Answer:

5 - 16i

Step-by-step explanation:

combine like terms:

3 - (-2) = 5

(-5i) - 11i = -16i

5 - 16i