In a poll to pick the name of a new planet discovered in a distant solar system, a total of 963 scientists voted. There were four names to pick from. The winning name exceeded the other names by 53, 79, and 105 votes, respectively. How many scientists voted for the name which came fourth in the poll?​

Answers

Answer 1

Answer:

195

Step-by-step explanation:

Let wining name have, x votes

1st = x

2nd = x - 53

3rd = x - 79

4th = x - 105

x + (x - 53) + (x - 79) + (x - 105) = 963

x + x - 53 + x - 79 + x - 105 = 963

4x - 237 = 963

4x = 963 + 237

4x = 1200

x = 1200 / 4

x = 300

4th = x - 105

x - 105 = 300 - 105 = 195


Related Questions

Oliver deposits $1,000 in his Interest-bearing bank account. The balance increases by %15 each month

Answers

Step-by-step explanation:

Oliver deposits P= $1,000

Then total amount A after n months given that the balance increases by %15 each month can be calculated as

[tex]A= 1000(1+15/100)^n[/tex]

Assuming the increase in amount is compounded monthly.

The area of a rectangular parking lot is 8051 m ^2 . If the length of the parking lot is 97 m, what is its width?

Answers

Answer:

Width of rectangle = 83 meter

Step-by-step explanation:

Given:

Area of rectangle = 8,051 m²

Length of rectangle = 97 m

Find:

Width of rectangle

Computation:

Area of rectangle = Length of rectangle x Width of rectangle

97 x Width of rectangle = 8,051

Width of rectangle = 8,051 / 97

Width of rectangle = 83 meter

13. What is the y-intercept of the line that passes through (4, 1) and has a slope of
-2?

Answers

Answer:

The y-intercept of the line is 9.

Step-by-step explanation:

y-y1=m(x-x1)

y-1=-2(x-4)

y-1=-2x+8

y=-2x+8+1

y=-2x+9

y=mx+b where m=slope and b=y-intercept

2 One yoga mat covers 1/10 of the floor of a yoga room. Each of 8 students places a yoga mat on the floor. Which shaded part of the model shows the total fraction of the yoga room’s floor that is covered by the yoga mats?

Answers

Answer:

1 student =1 mat then 1×8=8 students floor =10 your answer is 8 over 10

You might need:
Calculator
What is the slope of the line through (-2,-6) and (2, 2)?
Choose 1 answer
2.
B В
1
2
-2
D
1
2

Answers

Answer:

The slope is 2

Step-by-step explanation:

HElPPPP PleaseeEeeeeeeeeeeeeeeeeeeee

Answers

Step-by-step explanation:

V = πr^2h

V = 3.14 x 3.4x 3.4 x 18.1=657.33

answer and explanation please.

Answers

y = 2x

Month    Height

1              2 ft

2             4 ft

3             6 ft

4             8 ft

and then, plot these points on the graph:

(1,2) ... (2,4) ... (3,6) ... (4,8) ...

divide 240 g in the ratio 5:3:4​

Answers

The answer is 90 if it’s wrong I’m sorry

john put 14,000 euros in an account at a simple interest rate of 1% per year. How much interest will he get after 12 years?

Answers

Answer:

16,800 Euros.is the answer

Step-by-step explanation:

The sum of 3 consecutive integers is 45. What is the product of the 1st and 3rd number.

Answers

Step-by-step explanation:

Let the required integers be x,x+1,x+2.

Therefore,

x+x+1+x+2=45

3x+3=45

3x=42

x=14

Hence, the required integers are 14,15,16.

Edith rides in an Oober that charges a flat rate of $6.75 plus $3.20 per mile. If the ride share service charges $40.03 in total for her trip, how many miles is her ride? Enter your NUMERICAL answer only in the box as a decimal to the nearest tenth of a mile.

Answers

Answer:

10.4 miles

Step-by-step explanation:

c(m) = trip cost

c(m) = 6.75 + 3.2m

40.03 = 6.75 = 3.2m

33.28 = 3.2m

m = 10.4

3x - 7y = -40

3x - 2y = -4

Answers

Answer:

What are you solving for?

Step-by-step explanation:

Answer:

(7.5,4.1)

Step-by-step explanation:

Given

3x_7y =_40

3x_2y=_4

sol

3x_7y=_40..... equation 1

3x_2y=_4 ..... eq 2

here

eq 2 multi 3 eq 1 multiply 3

9x_21y=_120

9x_6y=_12

_ + = +

__________

0x+ 15y =108

y=108÷15

y=7.5

the y value putting the eq 1

3x_7y=_40

3x_7×7.5=_40

3x_52.5=_40

3x=52.5_40

3x=12.5

x=12.5÷3

x=4.1

7. What is the value of y in the diagram shown to the right?
A 22.36068
B. 64
C. 84
D. 104

Answers

I think it’s A I could be wrong

HELP THIS IS VERY URGENT.
1. How would you eliminate "x" in the system below? *

Answers

Answer:

You could multiply the top or the bottom equation by a negative (-1) and then add the equation together/continue with the steps of elimination and you will have gotten rid of X. Answer to the problem is (2,4)

Step-by-step explanation:

the ratio of boys to girls in a class is 7:9
write down in simplest form:
the fraction of boys compared to girls
the fraction of girls out of the class total

Answers

Answer:

7/16

9/16

Step-by-step explanation:

boys =7+9 total ratio =16

ratio of boys=7/16

ratio of girls=9/16

HELP ASAP I GIVE BRAINLISET

Answers

Answer:

Step-by-step explanation:

             →    Scone   Muffin   Cookie

↓ Coffee

Tea

120 ÷ 500 × 100 = 24%

180 ÷ 500 × 100 = 36%

Jamal ate 2/4 of a large pizza from Nancy’s pizza .His sister khaliah ate 1/4 of the pizza .How much of the pizza did they eat in all ?How much of the pizza was left for their brother bilal

Answers

Answer:

They ate 3/4 of the pizza. 1/4 of it was left.

Step-by-step explanation:

Answer:

They ate 3/4 of the pizza.

Bilal had 1/4 of the pizza

Step-by-step explanation:

Ou are a manager at Jimmy John's and have timed how fast your employees make a sandwich. Their times in seconds are below. Create a histogramto represent the data. 21,22.4,23,24.8,25.3,27,27.6,28.8,29.4,29.9,30.1,30.1,30.4,31.2,32,32.9

Answers

Answer:

See attachment for histogram

Step-by-step explanation:

Given

[tex]Data: 21,22.4,23,24.8,25.3,27,27.6,28.8,29.4,29.9,30.1,30.1,30.4,31.2,32,32.9[/tex]

Required

Represent on histogram

Calculate the range of the data

[tex]Range = 32.9 - 21[/tex]

[tex]Range = 11.9[/tex]

Using a width of 5, we have:

[tex]Class = \frac{Range}{5}[/tex]

[tex]Class = \frac{11.9}{5}[/tex]

[tex]Class =2.38[/tex]

Round up

[tex]Class = 3[/tex]

This means that the class will have 3 classes which are:

21.0 - 24.9, 25.0 - 29.9  and 30.0 - 34.9

The frequency table is as follows:

[tex]\begin{array}{cc}{Interval} & {Frequency}&{21.0 - 24.9} & {4} & {25.0 - 29.9} & {6} & {30.0 - 34.9} & {6} \ \end{array}[/tex]

See attachment for histogram

Select all of the answer choices that show the sum of 3⅖ + 2⅕.

Answers

Answer:

5 3/5

Step-by-step explanation:

17/5+11/5=28/5=5 3/5

Answer:

5 3/5

Step-by-step explanation:

3+2

2/5 + 1/5

5+3/5

5 3/5

I REALLY NEED HELP ASAP PLEASE EXPLAIN WILL GIVE BRAINLIEST!

Answers

Answer:

(I attached an image of the graphed lines)

Step-by-step explanation:

First, we need to graph the original function:

The given equation is written in y=mx+b form, in which m is the slope and b is the y-intercept, or where the line crosses through the y axis. This means the slope is [tex]\frac{2}{1}[/tex] and the y-intercept is -4.

Next, we need to find the inverse of the function and graph that as well:

First, change f(x) in the given equation to y. These mean the same thing, it just makes it easier to work with.Swap the places of x and y. Then, the rest of the steps are essentially just isolating the variable y.Add 4 to both sides of the equation to cancel out the -4 (You will end up with -2y = x + 4)Divide both sides of the equation by -2 to isolate y (You will end up with y = (x/2) + 2)

Choose the amount of money that is equal to 9 dimes. 4 quarters 3 quarters 3 nickels 2 quarters 3 dimes 4 quarters

Answers

Answer:

$4.60 dollars

Write the number for four million forty thousand .

Answers

Answer:

4.040,000

Step-by-step explanation:

4040000 should be correct

Domino's is having a sale where everything has a 10% discount. The regular price of a 2 topping pizza is $8. What is the discount price?

Answers

Answer:

7.20

Step-by-step explanation:

Part A

What is the explicit formula the sequence 8,10,12.5,15.625...?

Answers

Given:

The sequence is 8, 10, 12.5, 15.625,...

To find:

The explicit formula for the given sequence.

Solution:

We have,

8, 10, 12.5, 15.625,...

Here, the first terms is 8.

[tex]\dfrac{10}{8}=1.25[/tex]

[tex]\dfrac{12.5}{10}=1.25[/tex]

[tex]\dfrac{15.625}{12.5}=1.25[/tex]

The common ratio is 1.25. So, the given sequence is a geometric sequence.

The explicit formula for a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

The explicit formula for the given geometric sequence is:

[tex]a_n=8(1.25)^{n-1}[/tex]

Therefore, the correct option is A.

A polygon with five sides is

Answers

Answer:

The answer is pentagon

The answer is Pentagon

What is the volume of the prism below?

Answers

Answer:

64 feet cubed

Step-by-step explanation:

4x4x4=64

Answer:

V=Volume

V = 64 ft³

4 x 4 x 4 = 64 or 64 ft³

Question 7 options:
A right triangle has a hypotenuse that is 15 centimeters. The length of one of the legs is 10 centimeters.

The length of the other leg, rounded to the nearest tenth, is ___ centimeters.

Answers

a^2 + b^2 = c^2

10^2 + b^2 = 15^2

100 + b^2 = 225

b^2 = 225 - 100

b^2 = 125

b = square root 125

b = 11.2cm

Which triangle is similar to triangle T

Answers

Answer:

2nd one from the left.

Step-by-step explanation:

it has the same angle measures.

5 1/3 is what percent

Answers

Answer:

5.33%

Step-by-step explanation:

Answer:

5.33%

if not it cpuod be 5.32% most likely to be the forst one

Step-by-step explanation:

hope this helps!

have a good day :)

18a³/-3a
reduse the equation to it's smallest form​

Answers

Step-by-step explanation:

= 18 a³/ - 3 a

= - 6 a²

plz mark my answer as brainlist plzzzz.hope this will be helpful to you ☺️.

if you find it useful.

Other Questions
What is another name for solar energy? Choose pair of words that completes each analogy. Dynamic:energetic::A disparage:compliment B library:bookstoreC etymology:originD novel:chaptersE worry:frown Which is a simple sentence?1. Why didn't you call me after you finished your chores?2. Can you help me with this, or should I as someone else?3. Did you know that we went to get ice cream after school yesterday?4. Are you going to the store with your mother or your sister afternoon? Propose TWO practical solutions that a learner can use to resolveconflict with their friends What is the value -5(-2) The university of Toronto has about 91,000 student registered. If this number is rounded to the nearest thousandth, which of the following is a possible number of students? Answer ASAP please!A. 92,392B. 90,439C. 91,142D. 91,984 Which of the following events occurred in theGulf of Tonkin in the 1960s?A. A Russian airplane was attacked by Japan.B. A U.S. warship was attacked by the Viet Cong.C. A French submarine was attacked by Afghanistan. The speed of sound through air at 20C is 343 meters per second. The speed of sound through fresh water at 20C is 1,482 meters per second.Which of the following could be the speed of sound through solid steel? A. 1,370 meters per second B. 353 meters per second C. 5,960 meters per second D. 145 meters per second The population of a school is 800 and is decreasing at a rateof 2% per year; 4 years In this arithmetic sequence 3, 8, 13, 18, ... which term has the the value 123?2524617613 The number pattern shows a skip-counting rule. 5,20,35,50,65. Which number pattern follows the same rule? two reasons why we should be obidient to our teachers The Coast Guard had been monitoring the strong winds and high waves. The Coast Guard Cutter Florida was headed toward the beach to warn swimmers about the danger. They were ready to post red flags warning of a strong undercurrent. Over the summer, many swimmers had been rescued. The coastal beachfront was especially prone to a strong undercurrent because of the Gulfstream. Several guard members on the boat watched the scene unfold as the cutter headed toward shore. They saw two surfboarders heading toward a small raft with a young child inside. The raft was close to flipping over.Several guard members on the boat watched the scene unfold as they headed toward the shore.What implicit idea is expressed in this sentence? What psychiatric disorders and/or symptoms is Lamictal indicated to treat? What phase of bipolar (manic, mixed, or depressed) is Lamictal most effective in managing? How does Lamictal work and what is the mechanism of action? What is the dosing titration schedule for Lamictal? In June 1941, the Nazi army invaded Russia, leading to the Battle of Stalingrad. The Germanswould eventually be defeated due to starvations, illness, and frostbite. During this invasion, theSoviets ended their nonaggression pact with Germany and joined:a. The Axis Powersb. Italy and Germanyc. The Allied Powersd. France and Switzerland According to the Roman Historian Livy, what is NOT an advantage of location of Rome as a city.O A central location in ItalyO Access to valuable metals such as goldO Access to the sea for commerce from abroadO Produce provided by the inland regions along the Tiber River can someone help me with this and show me the steps if you don't mind Nathan is going to invest in an account paying an interest rate of 4.8% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $1,310 in 13 years? Find the surface area of a cube with sides = 9 inches. Think about finding area of 1 face and then multiplying by 6. Are these ratios equivalent?6 men to 7 women 12 men to 14 women