I need help, I can't do this exercise

I Need Help, I Can't Do This Exercise

Answers

Answer 1

Answer:

149 Degrees

Step-by-step explanation:

The angle 31 is marked for you on the figure, there is also a secondary angle marked on the other line parallel to the first. Since they are marked the same, the value of both must be 31 degrees, you can also prove this in a longer method by calculating the exact angle measures of each line. Now we simply simplify our basic equation.

180-31=x

149=x


Related Questions

What are three ratios that are equivalent to 16:12.

Answers

Answer:

4:3 = 8:6 = 12:9 = 16:12 = 20:15 = 24:18 = 28:21 = 32:24 = 36:27 = 40:30

Step-by-step explanation:

Answer:

8:4, 32:24, 48:36

Step-by-step explanation:

16 ÷3=8

12÷3=4

8:4

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

16 ×2=32

12×2=24

32:24

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

16×3=48

12×3=36

48:36

Hope this helps! Have a good day! : )

equation of circle: mastery test HELPPPP PLS !!

Answers

PQ is the diameter so the midpoint of PQ is the center of the circle. if we suppose the center point of the circle called o then ;

[tex]o = \frac{pq}{2} \\ [/tex]

[tex]pq = \sqrt{ { (- 10 - 6})^{2} + ({10 - ( - 2)})^{2} } [/tex]

[tex]o = \frac{( -10 ,10) + (6 , - 2) }{2} \\ [/tex]

[tex]o = \frac{( - 10 +6 ,10 - 2)}{2} \\ [/tex]

[tex]o = ( \frac{ - 4}{2} , \frac{8}{2} ) \\ [/tex]

[tex]o = ( - 2,4)[/tex]

For the second step we need to find the radius of the circle which has the half the PQ distance measure, so we have to find the the PQ distance and divide it by 2 :

_____________________________________________

As u know the distance between 2 point is going to find by following formula :

[tex]pq = \sqrt{ {(x(p) - x(q)})^{2} + {(y(p) - y(q)})^{2} } \\ [/tex]

[tex]pq = \sqrt{ ({ - 10 - 6})^{2} + ({10 - ( - 2)})^{2} } [/tex]

[tex]pq = \sqrt{ ({ - 16})^{2} + ({12})^{2} } [/tex]

[tex]pq = \sqrt{256 + 144} [/tex]

[tex]pq = \sqrt{400} [/tex]

[tex]pq = 20[/tex]

Thus :

[tex]radius = \frac{pq}{2} \\ [/tex]

[tex]radius = \frac{20}{2} \\ [/tex]

[tex]radius = 10[/tex]

_____________________________________________

Ok we're almost done cuz we have what we needed:

If we suppose that the first coordinate of the center is a and the second coordinate of the center is b and the radius shown by r then :

[tex] ({x -a})^{2} + ( {y - b})^{2} = {r}^{2} [/tex]

Is the equation of the circle in the standar form thus :

[tex] ({x - ( - 2)})^{2} + ({y - 4})^{2} = {10}^{2} \\ [/tex]

[tex] ({x + 2})^{2} + ({y - 4})^{2} = 100[/tex]

As u can see option B is the correct answer.

And we're done ...

Have a great day ♡♡♡♡♡

Dividing by 1/2 means you are finding how many halves are in the dividend

Answers

to multiply it by 2 because two is the dividend and that is closest to 1

On Tuesday 27% of the customers who bought gas at a gas station made additional purchases. There were 300 customers who bought gas. How many of these 300 customers made additional purchases?

Answers

Answer:

81

Step-by-step explanation:

how to calculate procentage:
300(total) x 27(procentage) : 100 = 81

give brainliest

PLEASE HELP I WILL GIVE YOU 5 STARS​

Answers

Answer:

3/4 lbs.

Step-by-step explanation:

In order to find how much more the heavier boxes weigh than the lighter boxes, we have to subtract the lighter box weight from the largest box weight.

Lighter box weight = 4 1/2

Heavier box weight = 5 1/4

Now we can find their difference:

The heavier box weight - lighter box weight = 5 1/4 - 4 1/2 = 21/4 - 9/2 = 21/4 - 18/4 = 3/4.

The heavier boxes weigh 3/4 lbs. more than the lighter boxes.

Answer:

3/4 lbs

Step-by-step explanation:

The heavier box weight - lighter box weight = 5 1/4 - 4 1/2 = 21/4 - 9/2 = 21/4 - 18/4 = 3/4.

The difference is:

The heavier boxes weigh 3/4 lbs. more than the lighter boxes.

Please may I have brainliest

Omar thinks you should sell sundae cups and raspberry ripple cones. He recommends that the costs to you for frozen treats be no more than $450. Based on Omar's recommendation, enter an inequality that represents the
number of sundae cups, x, and the number of raspberry ripple cones, y, that will cost you no more than $450.

Answers

Considering that a sundae cone costs $5 and a raspberry ripple cone $7, the inequality is:

[tex]5x + 7y \leq 450[/tex]

What is the inequality that models this situation?

The total price can be no more than $450, hence:

[tex]T \leq 450[/tex]

To find the total price, we need the price of each a sundae cone and a raspberry ripple cone, which are not given. Hence, considering that a sundae cone costs $5 and a raspberry ripple cone $7, the total price is given by:

T = 5x + 7y

Hence, the inequality is:

[tex]5x + 7y \leq 450[/tex]

More can be learned about inequalities at https://brainly.com/question/25235995

Algebra II | Progressions

It’d be very much appreciated if someone could a.) solve this for me, and b.) kindfully explain how to get the correct answer in simple terms. It looks easy, but the lesson isn’t making it make sense. Thank you! :)

Answers

Answer:

Option 1

Step-by-step explanation:

Substiute the value of n with 1 to 6 and find each term.

When n = 1 ,

       [tex]\sf First \ term = \dfrac{1}{2*1+1}=\dfrac{1}{2+1}=\dfrac{1}{3}\\\\[/tex]

[tex]\sf When n = 2,\\\\Second \ term = \dfrac{2}{2*2+1}=\dfrac{2}{4+1}=\dfrac{2}{5}\\\\[/tex]

When n = 3 ,

      [tex]\sf Third \ term = \dfrac{3}{2*3+1}=\dfrac{3}{6+1}=\dfrac{3}{7}[/tex]

When n = 4,

    [tex]\sf Fourth \ term =\dfrac{4}{2*4+1}=\dfrac{4}{8+1}=\dfrac{4}{9}\\[/tex]

When n = 5 ,

   [tex]\sf Fifth \ term = \dfrac{5}{2*5+1}=\dfrac{5}{10+1}=\dfrac{5}{11}\\\\When \ n = 6,\\\\ \: Sixth \ term =\dfrac{6}{6*2+1}=\dfrac{6}{12+1}=\dfrac{6}{13}[/tex]

[tex]Answer: \dfrac{1}{3}+\dfrac{2}{5}+\dfrac{3}{7}+\dfrac{4}{9}+\dfrac{5}{11}+\dfrac{6}{13}[/tex]

A right cylinder with a diameter of 8 ft and a height of 15 ft. Help!!

Answers

Given :-

Diameter = 8ft , radius = 4ft.Height = 15ft

We can find Total Surface Area , Lateral Surface Area and Volume of Cylinder by given values.

Volume of Cylinder = πr²h

putting the known values ,

Volume = 3.14×4²×15 cubic feet

Volume = 753.6 cubic feet

Total Surface Area of Cylinder = 2πr(r+h)

TSA = 2×3.14×4(4+15) square feet

TSA = 477.28 square feet

Lateral Surface Area Of Cylinder = 2πrh

CSA = 2×3.14×4×15

CSA = 376.8 square feet

All the dimensions of a pentagon were multiplied by the same factor, and the area of the figure changed by a factor of 25. By what factor were the dimensions of the pentagon multiplied?


12. 5

625

5

50

Answers

Answer:

625

Step-by-step explanation:

I just did this question

everday at 9:15 am jessie takes his for a walk for 30 min he takes the next 2 hours to work on his computer before he eats lunch what time does he eat lunch

Answers

Answer:

11:45 AM

Step-by-step explanation:

9:15 +30 mins is 9:45

9:45 +2 hours is 11:45

Hope this helps!

The table of ordered pairs gives an exponential function.
Write an equation for the function. NEED ASAP!!!

Answers

Answer:

12+34+67+12

Step-by-step explanation:

im in 12th grade with straight as trust me

What is the value of χ2 for the two-way table?
A B C D
X 5 10 15 20
Y 7 13 17 21
(2 points)
0.5320
0.0801
1.08
0.2830
0.9632

Answers

Answer:

0.2830

Step-by-step explanation:

Observed Values

Add totals for the rows and columns to the two-way table (see attachment 1).

Expected Values

Create an "Expected Values" table by multiplying each row total by each column total and dividing by the overall total (see attachment 2).

Chi-square test statistic

[tex]\sf \dfrac{(observed-expected)^2}{expected}[/tex]

Create a third table by using the formula to calculate the chi-square test statistic for each cell of the table (see attachments 3 and 4)

Chi-square

Add the values from the table in attachment 4.

[tex]\sf X^2=0.05556+0.03945+0.002315+0.05465+0.04789+0.03401+0.001996+0.04711[/tex] [tex]\implies \sf X^2=0.2830 \:(4 \:sf)[/tex]

The function H(n) describes the total amount of money a movie theater receives for n ticket sold.
which domain is appropriate for this function.

all integers
all real numbers
all positive integers and zero
or
all positive real numbers and zero

Answers

The domain which is appropriate for the function, H(n) is; all positive integers and zero.

Domain of functions

From the task content;

We are required to identify the domain which is most appropriate for the function.

On this note, we are required to determine the possible values for the number of tickets bought, n.

Ultimately, since tickets are whole, it follows that the appropriate domain for this function is; all positive integers and zero.

Read more on domain of functions;

https://brainly.com/question/1369616

help i need help and this is due soon

Answers

Answer:

8π or 35.133 (3 d.p.)

Step-by-step explanation:

Volume of cone is [tex]V=\pi r^{2}\frac{h}{3}[/tex], where V is the volume, r is the radius, and h is the vertical heightSubstitute in the values[tex]V=\pi\times 2^{2}\times\frac{3}{3}[/tex][tex]V=4\pi\times 1[/tex][tex]V=4\pi[/tex]There are 2 cones, so times by 2This gives 8π

What is the exact circumference of a circle with a radius of 17 mm?

8.5T mm
O
177 mm
O 347 mm
O
687 mm

Answers

Answer:

[tex]34\pi[/tex]

Step-by-step explanation:

Given,

r = 17 mm

Circumference =

[tex]2\pi \: r[/tex]

→ 2x3.14x17

→ 34x3.14 =

[tex]34\pi[/tex]

c = 106.76 mm

can anyone solve this?​

Answers

Answer:

The answer is 14/50

Step-by-step explanation:

sin=opp/hyp

sin=14/50

4-5 practice proving right triangles congruent worksheet 1-7

Answers

Step-by-step explanation:

1. mzoGE = M2GOE

1. Given

2. GE = OE

2.

3. E is the midpoint of AT

3. Given

4. AE ET

4. Definition of the midpoint of a line segment.

5. AE = ET

5. Congruent segments have equal length.

6. MLAEG > MZTEO

6. Given

7. AG > TO

please teach me how to do this

Answers

Answer:

16.4

Step-by-step explanation:

x = radius

x = 8.7 + 7.7

x = 16.4

What is the value of the expression 16 + 56/n when n = 8?

Answers

Answer:

23

Step-by-step explanation:

[tex]16 + \frac{56}{n} [/tex]

[tex]where \: n = 8[/tex]

[tex]16 + \frac{56}{8} [/tex]

[tex]23[/tex]

23Remember pemdasparenthesesexponentsmultiplicationdivisionadditionsubtractionDivide first

[tex]56 / 8 = 7[/tex]

Add second

[tex]7 + 16 = 23[/tex]

With that information, your answer is twenty-three.

Find the area of the figure

Answers

Step-by-step explanation:

there is one central rectangle :

from (-4, 2) to (2, -2).

that means it dimensions are 6×4 (for x from -4 to +3, for y from +2 to -2).

and then there are 3 additional triangles

(2, -4) (2, 2) (6, 2)

(-4, -2) (2, -2) (2, -4)

(-6, 2) (-4, 2) (-4, -2)

with the leg lengths

(2, -4) to (2, 2) = 6, and (2, 2) to (6, 2) = 4

(-4, -2) to (2, -2) = 6, and (2, -2) to 2, -4) = 2

(-6, 2) to (-4, 2) = 2, and (-4, 2) to (-4, -2) = 4

the area of the rectangle is

6×4 = 24 square units

the area of the first triangle is

6×4/2 = 3×4 = 12 square units

the area of the second triangle is

6×2/2 = 6 square units

the area of the third triangle is

2×4 = 8 square units.

so, the total area is

24 + 12 + 6 + 8 = 50 square units.

Lane loads his stuck with 3 tons of bricks. How many pounds of bricks does he have

Answers

6000 pounds?

2000 pounds in a ton

amount if you decrese 35 by 20%​

Answers

Answer:

26.25

Step-by-step explanation:

So if you want to remove 25% from 35 you have to multiply the two you get 8.75 then minus that from 35 you get 26.25

find the absolute value of -5/8

Answers

Answer:

5/8

Step-by-step explanation:

To find the absolute value you simply remove the negative symbol

Solve it
x / 5 + (x - 1) / 3 = 1/5

Answers

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

[tex]\huge\pmb{\frak{\underline{Answer:}}}[/tex]

[tex]\sf{x = 1}[/tex]

[tex]\huge\pmb{\frak{\underline{Explanation:}}}[/tex]

[tex]\sf{\frac{x}{5} \: + \: \frac{(x \: - \: 1)}{3} = \frac{1}{5}[/tex]

[tex]\sf{\frac{x}{5} \: + \: \frac{x \: - \: 1}{3} = \frac{1}{5}[/tex]

Find The Least Common Multipler of [tex]\bold{^5^,^3^: \: ^1^5}[/tex]  

       Multiply by LCM = [tex]\bold{15}[/tex]

       [tex]\sf{\frac{x}{5} \: . \: 15 \: + \frac{x \: - \: 1}{3} \: . \: 15 = \frac{1}{5} \: . \: 15}[/tex]  

Simplify :

        [tex]\sf{3x \: + \: 5(x \: - \: 1) = 3[/tex]

Expand [tex]\sf{^5^(^x \: ^- \: ^1^)^: \: ^5^x \: ^- \: ^5}[/tex]

        [tex]\sf{3x \: + \: 5x \: - \: 5 = 3}[/tex]

Add similar elements: [tex]\sf{^3^x \: ^+ \: ^5^x \: ^= \: ^8}[/tex]

        [tex]\sf{8x \: - \: 5 \: + \: 5 \: = 3 \: + \: 5}[/tex]

Simplify :

        [tex]\sf{8x \: = \: 8[/tex]

Divide both sides by [tex]\bold{8}[/tex]

        [tex]\sf{\frac{8x}{8} = \frac{8}{8}[/tex]

Simplify :

       [tex]\sf{x = 1}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Answer:

x = 1

Step-by-step explanation:

In the question we have given an equation that is x / 5 + ( x - 1 ) / 3 = 1 / 5 . And we are asking to solve the equation that means we have to find the value of x.

Solution : -

[tex] \longmapsto \qquad \dfrac{x}{5} + \dfrac{(x - 1)}{3} = \dfrac{1}{5} [/tex]

Step 1 : Bye taking L.C.M solving left side :

[tex] \longmapsto \qquad \dfrac{3x + 5(x - 1)}{15} = \dfrac{1}{5} [/tex]

On further calculations, We get :

[tex] \longmapsto \qquad \dfrac{3x + 5x - 5}{15} = \dfrac{1}{5} [/tex]

[tex] \longmapsto \qquad \dfrac{8x - 5}{15} = \dfrac{1}{5} [/tex]

Step 2 : Multiplying 15 on both sides :

[tex] \longmapsto \qquad \dfrac{8x - 5}{ \cancel{15}} \times \cancel{15 } = \dfrac{1}{ \cancel{5}} \times \cancel{15}[/tex]

On further calculations, We get :

[tex] \longmapsto \qquad 8x - 5 = 3[/tex]

Step 3 : Adding 5 on both sides :

[tex] \longmapsto \qquad8x - \cancel{5} + \cancel{ 5} = 3 + 5[/tex]

On further calculations, We get :

[tex] \longmapsto \qquad8x = 8[/tex]

Step 4 : Dividing with 8 on both sides :

[tex] \longmapsto \qquad \dfrac{ \cancel{8}x}{ \cancel{8}} = \cancel{\dfrac{8}{8} }[/tex]

On further calculations, We get :

[tex] \longmapsto \qquad \blue{\underline{\blue{\boxed{ \frak{x = 1}}}}}[/tex]

Henceforth, value of x is 1 .

Verifying : -

We are verifying our answer by substituting value of x in the given equation . So ,

x / 5 + ( x - 1 ) / 3 = 1 / 5

1 / 5 + (1 - 1 ) / 3 = 1 / 5

1 / 5 + 0 / 3 = 1 / 5 (0 / 3 is equal to 0)

1 / 5 + 0 = 1 / 5

1 / 5 = 1 / 5

L.H.S = R.H.S

Hence , Verified .

Therefore, our solution is correct .

#Keep Learning

Solve the following equation using distribution. 1 2 (4x − 12) = 5 ( 1 2 ) (4x) − ( 1 2 ) (12) = 5 2x − 6 = 5 +6 +6 2x = 11 What is the value of x? 5.5 9 11.5 13

Answers

Answer:

5.5

Step-by-step explanation:

Answer: IT IS 5.5I DID THE TEST

Step-by-step explanation:

100 Points!! 0_0
Solve and check for extraneous solutions.

5(3x+1)^1/2=10

Please SHow Steps!!! WIll give the brainiest!!

Answers

[tex]5\sqrt{3x+1} = 10\\\\\implies \sqrt{3x+1} = \dfrac{10}5 \\\\\implies \sqrt{3x+1} = 2 \\\\\implies 3x +1 = 4\\\\\implies 3x = 4-1 \\\\\implies 3x = 3\\\\\implies x =1[/tex]

Answer:

x = 1

Step-by-step explanation:

Given equation:

[tex]\dfrac{5(3x+1)^1}{2} =10[/tex]

If a term has "1" as it's exponent, it means that it's the number itself. Therefore, we can remove the "exponent".

[tex]:\implies\dfrac{5(3x+1)}{2} =10[/tex]

Simplify the distributive property:

[tex]:\implies\dfrac{15x+5}{2} =10[/tex]

Using cross multiplication:

[tex]:\implies15x+5} =10 \times 2[/tex]

Simplify the R.H.S:

[tex]:\implies15x+5} =20[/tex]

Subtract 5 both sides:

[tex]:\implies15x+5 - 5} =20 - 5[/tex]

Simplify both sides:

[tex]:\implies15x} =15[/tex]

Divide 15 both sides:

[tex]:\implies\dfrac{15x}{15} } =\dfrac{15}{15}[/tex]

Simplify both sides:

[tex]:\implies x= 1[/tex]

check if 5/11 and 7/6 are rational numbers.

Answers

Answer:

  they are rational numbers

Step-by-step explanation:

Any fraction with integers in numerator and denominator is a rational number.

__

  5, 6, 7, 11 are integers, so the fractions 5/11 and 7/6 are rational numbers.

Can someone pleas help???????

Answers

Answer:

written all the angles below:

m<1 = 35°

m<2 = 77°

m<3 = 49°

m<4 = 77°

m <5 = 62°

m<6 = 28°

hope that helps...

For the function y = x -2, make a table of ordered pairs and graph the function on a coordinate plane.​

Answers

Answer:

Step-by-step explanation:

Start by plugging in the x values -2, -1, 0, 1, and 2 into the equation to receive the y values.

For example, the first point on the table would be y=(-2)-2, or (-2, -4). Continue plugging in the points for all the points on the table

100 Points!!! WILL MARK BRAINLIEST!!!
Daisy is a botanist who works for a garden that many tourists visit. The function f(s) = 3s + 35 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 15w represents the number of seeds she plants per week, where w represents the number of weeks.

Part A: Write a composite function that represents how many flowers Daisy can expect to bloom over a certain number of weeks. (4 points)

Part B: What are the units of measurement for the composite function in Part A? (2 points)

Part C: Evaluate the composite function in Part A for 36 weeks. (4 points)

Answers

Answer:

A)  [tex]f(w)=45w+35[/tex]

B)  f(w) is the total number of flowers that bloomed

     w is the number of weeks

C)  1655 flowers

Step-by-step explanation:

Part A

[tex]f(s) = 3s + 35[/tex]

[tex]s(w) = 15w[/tex]

To create the composite function, replace the variable [tex]s[/tex] in the function f(s) with function s(w):

[tex]\implies f(w)=3(15w)+35[/tex]

[tex]\implies f(w)=45w+35[/tex]

Part B

f(w) is the total number of flowers that bloomedw is the number of weeks

Part C

Substitute w = 36 into the compositie function and solve:

[tex]\implies f(36)=45(36)+35=1655[/tex]

Other Questions
In the antral phase of follicle development, the follicles are stimulated by LH and _______ to grow tremendously. What were the circumstances of the Cold War endinge Rowena used small wooden cubes to measure the length of her foot and her hand. Her foot was 22 cubes long and her had was 15 cubes long. Which number sentence should Rowena use to find the difference between these lengths?A. 22 + 15 B. 22-15C. 22 x 15D. 22 15 Which one has a greater quantity:The volume of a prism with a base area of 24.3 cm2 and height 14 cm orThe volume of a pyramid with a base area 24.3 cm2 and height 14 cm James bought a car for $17.528 which included a 4.5% taxa) How tax did he pav? b) He received a 15% discount off theoriginal price of the car. What was the original price? Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be? A) 0.96 inches BY) 9.6 inches X) 16 inches D) 48 inches no spammers please, giving brainliest. Scientists have been studying the size of three populations in a grassland. In this ecosystem, hawks (a type of large bird) eat sparrows (a type of small bird), and sparrows eat seeds from buckwheat. The data showed that all three populations were stable. Then the hawk population increased suddenly. What will likely happen to the size of the sparrow population as a result? The size of the sparrow population will What lasting impact has WWII had on Texas? Nico is having trouble sleeping. Which drug would the doctor MOST likely prescribe to treat this issue? A. benzodiazepines B. stimulants C. empathogens D. opioids how can you separate sand and water without filter paper Say that a company has treated you unfairly or dishonestly. which of the following options could help you resolve the issue? i. report them to the better business bureau. ii. speak to their corporate consumer department. iii. seek the help of the department of hhs. a. i and ii b. ii and iii c. i and iii d. ii only please select the best answer from the choices provided a b c d In recent decades, most major Latin American countries have turned to democracy,except...oVenezuela and CubaoCuba and ArgentinaoVenezuela and BraziloChile and Brazil What were the critical turning points in the realignment Calculate the interest rate for an account that wascompounded semi-annually, had an initial deposit of$9,000 and was worth $13,373.53 after 10 years. HELP ASAP!! Person A leaves a $16 tip for a meal that costs $123. Person B leaves a tip of $12 for a meal that costs $89. Who is the better tipper? Explain. are the phrases "Very Interesting" and "Very Exciting" the Same? how is sound produced What is the main theme in this story from Aesops Fables?The Fox and the CrowA Fox saw a Crow fly off with a piece of cheese in its beak and settle on a branch of a tree."That's for me, as I am a Fox," said Master Reynard, and he walked up to the foot of the tree."Good-day, Mistress Crow," he cried. "How well you are looking to-day: how glossy your feathers; how bright your eye. I feel sure your voice must surpass that of other birds, just as your figure does; let me hear but one song from you that I may greet you as the Queen of Birds."The Crow lifted up her head and began to caw her best, but the moment she opened her mouth the piece of cheese fell to the ground, only to be snapped up by Master Fox."That will do," said he. "That was all I wanted."A. Any excuse will serve a poor leader.B. Do not trust those who flatter you.C. Gratitude and greed go together.D. A good act deserves to be rewarded. The Gupta period also produced notable achievements in the sciences. Mathematicians worked out the concept of zero, which enabled them to handle large numbers much more easily; zero is closely associated with the decimal system, which was probably also an Indian invention. The Arabic numbers (ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9) that are used universally today also originated in Gupta India, so far as historians can determine. Source: World Civilizations, page 186. 5. Which of the three contributions by Gupta mathematicians has had the most long-lasting impact on modern mathematics?