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

divide 240 g in the ratio 5:3:4​

Answers

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

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

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 :)

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.

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

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) ...

HELP ASAP I GIVE BRAINLISET

Answers

Answer:

Step-by-step explanation:

             →    Scone   Muffin   Cookie

↓ Coffee

Tea

120 ÷ 500 × 100 = 24%

180 ÷ 500 × 100 = 36%

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

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.

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

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.

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

A polygon with five sides is

Answers

Answer:

The answer is pentagon

The answer is Pentagon

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

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

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

HElPPPP PleaseeEeeeeeeeeeeeeeeeeeeee

Answers

Step-by-step explanation:

V = πr^2h

V = 3.14 x 3.4x 3.4 x 18.1=657.33

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:

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:

Write the number for four million forty thousand .

Answers

Answer:

4.040,000

Step-by-step explanation:

4040000 should be correct

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:

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)

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.

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:

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:

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

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

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

Which triangle is similar to triangle T

Answers

Answer:

2nd one from the left.

Step-by-step explanation:

it has the same angle measures.

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

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