The sum of five consecutive positive integers is 2020. Find the largest of these numbers.

Answer: 1/11

Step-by-step explanation:

Let x be no. of yellow cubes.

Blue = 2x

Green = 4 x 2x = 8x

Total cubes = x + 2x + 8x = 11x

P(yellow) = x / 11x = 1/11

Answer:

36°.

Step-by-step explanation:

According to the question, m∠ABD is a straight angle. This means that it is a 180 degree angle.

m∠CBD and m∠ABC add up to make the straight angle, so the two measures add to be 180 degrees.

(8x + 16) + (6x - 60) = 180

8x + 6x + 16 - 60 = 180

14x - 44 = 180

14x = 224

x = 16

m∠ABC = 6x - 60

6 * 16 - 60 = 96 - 60 = 36

So, m∠ABC = 36°

Hope this helps!

Answer:

36 degrees

Step-by-step explanation:

8x + 16 + 6x - 60 = 180

14x = 224

x = 16

m<ABC = 6x-60

m<ABC = 96-60

m<ABC = 36

Answer: domain is all real numbers and range is all real numbers greater than or equal to -2

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

hello,

as this is a parallelogram we can write that BE = DE so

15x + 4 = 9x + 6

<=> 15x - 9x + 4 = 6

<=> 6x = 6 - 4 = 2

<=> x = 2/6 = 1/3

so BE = DE = 15/3+4=5+4=9

so BD = BE + DE = 9 + 9 = 18

the correct answer is 18

hope this helps

Answer:

x = 31

Step-by-step explanation:

[tex]3x+43=4x+2(4+2)\\\\\rightarrow 2*4=8\\\rightarrow 2*2=4\\\\3x+43=4x+8+4\\\\3x+43=4x+12\\\\3x+43-43=4x+12-43\\\\3x=4x-31\\\\3x-4x=4x-31-4x\\\\-x=-31\\\\\frac{-x}{-1}=\frac{-31}{-1}\\\\\boxed{x=31}[/tex]

Answer:

x=31

Step-by-step explanation:

first we simlify to get the simplist equation. 3x + 43 = 4x + 12. then 4x - 3x equalls and 43 - 12 equals 31.    

Answer:

4028.5

Step-by-step explanation:

V=4000+4.75 (6)

V= 4000+28.5

V=4028.5

Please Vote Brainliest!

Answer: Hope this helps <3

Step-by-step explanation:

[tex]V=4000+4.75n\\\\Substitute\\V = 4000 + 4.75(6)\\\\Multiply\\\\V = 4000+28.5\\\\Add\\\\V = 4028.5[/tex]

Answer:

p = 3

Step-by-step explanation:

We have a right triangle with both legs equal, whose hypotenuse is 3 times the root of 2.

We know both legs are equal because we have identical opposite angles in this right rectangle.

If we apply the Pythagorean theorem, we obtain:

[tex]p^2+p^2=(3\sqrt{2})^2=9\cdot 2=18\\\\2p^2=18\\\\p^2=18/2=9\\\\p=\sqrt{9}\\\\p=3[/tex]

Answer:

B

the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd

Answer:

its B

Step-by-step explanation:

Answer:

C is the right answer for me. But im like 80% sure on that tho. Hope this helps so much! :)

Step-by-step explanation:

Answer:  Insert a 6.  The number divisible by 12 is  1464    

Step-by-step explanation:  Start by dividing 12 into the first two digits.

I am using old-fashioned long division.

       1  2

12 ) 14 6

     -12

         26.           this is the remainder, The next digit has to be a number that when divided by 12 will leave a remainder, that when paired with 4, will be evenly divisible by 12.

6 is that number . When you "bring down" the 6, you will be dividing 26÷12.  a  2 goes into the quotient, and in the next step 24 is subtracted from 26; the remainder is 2.

Bring down the 4 and divide 12 into 24.  The result is 2 as the quotient.  2 ×12 =24 .  24- 24 is 0

1464 ÷ 12 = 122

Answer:

(B)72 fluid ounces

Step-by-step explanation:

To convert cups to fluid ounces, Sari wrote the equivalent ratios.

[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}[/tex]

Let the question mark be represented by x.

We then have:

[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$Cross multiply\\x \times 1 = 8 \times 9\\x=72$ fluid ounces[/tex]

We conclude that there are 72 fluid ounces in 9 cups.

Answer:

B

Step-by-step explanation:

Answer:

Range of the function → (-∞, 1)∪(1, ∞)

Step-by-step explanation:

Two function has been given as,

f(x) = (x + 1)

and g(x) = [tex]\frac{1}{x}[/tex]

Then (fog)(x) = f[g(x)]

Now f[g(x)] = [tex]\frac{1}{x}+1[/tex]

As shown in the graph,

Domain of the graph is (-∞, 0) ∪ (0, ∞) [Since vertical asymptote of the function is x = 0, so x = 0 will not be included in the domain]

And the range is (-∞, 1) ∪ (1, ∞) [Since horizontal asymptote is y = 1, so y = 1 will not be included in the range]

Answer:

(-5, 8)

Step-by-step explanation:

Step 1: Multiply 2nd equation by -1

x + y = 3

-y = -8

Step 2: Elimination

x = -5

Step 3: Find y

y = 8

Answer:

36 = 6(6)

[tex]x^{2} -(6)^2[/tex]

(x+6)(x-6)

(x+6)(x-6)

Answer:

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

Step-by-step explanation:

Carlos graphed the set of points that are equidistant from both point A and point B.

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

Answer:

A rational number is a number that can be written in the form  

p

q

, where  

p

and  

q

are integers and  

q

≠

o

.

Answer:HL

Step-by-step explanation:

By B. HL (hypotenuse and one of the leg) theorem we can conclude that DHF = EHG

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

We know the longest side of a right-angled triangle, known as the hypotenuse is always in opposition to the right angle.

According to the hypotenuse leg(HL) theorem, two right triangles are congruent if the hypotenuse and one leg of one right triangle coincide with the hypotenuse and leg side of the second right triangle.

In the given diagram DF ≅ EG and DH ≅ EH then according to HL congruency theorem DHF = EHG

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ6

Answer:

Vertically opposite angles are equal

So

x = 75°

Vertically opposite angles are equal

So

5y = 135°

Divide both sides by 5

y = 27

Hope this helps you

Answer:

x = -4

Step-by-step explanation:

Step 1: Subtract 1/2x on both sides

-1/4x - 1/8 = 7/8

Step 2: Add 1/8 on both sides

-1/4x = 1

Step 3: Divide both sides by -1/4

x = -4

Answer:

x = -4

Step-by-step explanation:

1/4x-1/8=7/8+1/2x

Add 1/8 to each side

1/4x-1/8+1/8=7/8+1/8+1/2x

1/4 x = 1 + 1/2x

Subtract 1/2x from each side

1/4x -1/2x = 1 + 1/2x -1/2x

Getting a common denominator for the x terms

1/4x -2/4x =1

-1/4x = 1

Multiply by -4

-4 * -1/4x = 1* -4

x = -4

Answer:

<ART

Step-by-step explanation:

A chord in a circle is a straight line segment whose endpoints both lie on the circle.

Some chords are TN, EI, AT, and FG (diameter, special type of chord).

EI and TN intersect at in angles <ART and <NRS (the top angles don't have a specific name for the point of intersection).

An angle formed by two chords is ∠TRI which is formed due to the intersection of chord TN and EI at point R.

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. If the chord passes through the center it is the diameter of the circle.

The chords in the circle are AT, TN, and EI.

Therefore, the angles that are formed due to the intersection of two chords are ∠ANT, ∠TRI, and ∠ERN.

Thus, An angle formed by two chords is ∠TRI which is formed due to the intersection of chord TN and EI at point R.

Learn more about Chord:

https://brainly.com/question/1654080

Answer:

The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.

Step-by-step explanation:

2n^2 sequence:

2,8,18,32,50,72

Step-by-step explanation:

would you please attach the drawing?????

Answer:

Chord is 13

Step-by-step explanation:

Calculating the length of chords QS and TR:

QS = 9 + 4x = 9 + 4 = 13

TR = 12 + (x+2) = 12 + 3 = 15

Answer: 4 pounds

Step-by-step explanation:

Mark has $9.10 to buy fruits.

6 pounds of apple at $0.99 will cost $5.94

Balance 9.10 - 5.94 = 3.16

Bananas are $0.79 a pound

For $3.16, he will get

3.16 / 0.79 = 4 pounds of bananas

Answer: 19t +100

Step-by-step explanation:

19t +100  where t is the number of hours she worked and the extra 100 dollars is the money she got from her friend.

Answer:

19t+100

Step-by-step explanation:

it is the amount of hours (T)*19 +100 so it is the paycheck +100 which she got from the photoshoot

Answer:

2d

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference, thus

a₃ - a₁

= a₁ + 2d - a₁

= 2d

Answer:

B. $36.25+$3.89x≤$58.50

Step-by-step explanation:

It has to be less than or equal to $58.50

Answer:

$36.25+$3.89x≤$58.50

Step-by-step explanation:

Let x be the number of folders with paper Jessica buys. If Jessica buys x folders for $3.89 each, then she pays $3.89x for all x folders.

She wants to buy one backpack for $36.25, so her total buying costs

$36.25 + $3.89x

Jessica saved a total of $58.50 to spend on school supplies, then her total buying cannot exceed this sum, so  the answer would be $58.50.

Answer:

2/3

Step-by-step explanation:

You arrived at 1:00 and longer than 10 minutes would be at 1:20 and 1:30

that is 2 chances of you waiting longer than 10 minute

Answer:

The discriminant equals to 0

Step-by-step explanation:

We have to remember our discriminant rules;

d > 0, we have 2 real roots

d = 0, we have 1 real root

d < 0, we have 2 complex roots

Answer:

715.1153

Step-by-step explanation:

write

seven hundred fifteen = 715

and

one thousand one hundred fifty- three = 1,153

ten-thousandths  = 1/10,000 = 0.000 1

 together = 0.1153

as a decimal number

So when added together

the number is

715.115 3

Answer:

715.1153

Step-by-step explanation:

Answer:

The speed/rate to her parent's house is x = 75 mph

The speed/rate from her parent's house is y = 50 mph

Step-by-step explanation:

Given;

Distance to her parent's house = 240 miles

Total distance travelled (to and fro) = 240×2 = 480 miles

Total time taken t = 8 hours

On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather)

Let x and y represent her speed to and from her parent's house respectively.

x = y+25 ......1

The time taken to her parent's house is;

time = distance/velocity

t1 = 240/x = 240/(y+25)

The time taken from her parent's house is;

time = distance/velocity

t2 = 240/y

Total time taken t = t1 +t2

t = 240/(y+25) + 240/y = 8

Solving for y ;

(240y + 240(y+25))/(y^2 +25y) = 8

Cross multiply;

240y + 240y+6000 = 8y^2 + 200y

480y +6000 = 8y^2 + 200y

8y^2 + 200y -480y -6000 = 0

8y^2 - 280y - 6000 = 0

Divide through by 8;

y^2 - 35y - 750 = 0

Solving the quadratic equation;

y = 50

or

y = -15

Velocity cannot be negative, so y = 50mph

From equation 1;

x = y+25

Substituting y =50

x = 50 + 25

x = 75 mph

The speed/rate to her parent's house is x = 75 mph

The speed/rate from her parent's house is y = 50 mph