The U.S Senate has 100 members. After a certain election, there were 14 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?

Answers

Answer 1

Answer:

There are 48 + 4 = 52 Democrats

Step-by-step explanation:

Let the number of Republicans be

x

.

There are

x

+

4

Democrats.

Thus,

x

+

(

x

+

4

)

=

100

2

x

=

100

4

x

=

96

2

=

48

There are 48 + 4 = 52 Democrats..

Answer 2

Answer:

there were 43 people in republicans and 57 democrats

Step-by-step explanation:

100-14=86

86/2=

43

43+14=57


Related Questions

How many tiles of 8cm^2 is needed to cover a floor of dimension 6cm by 24cm?​

Answers

Answer:

18 tiles

Step-by-step explanation:

24 x 6 = 144

144/8 = 18

glad i could help

hope you have a good day

Answer:18

Step-by-step explanation:24 x 6 = 144

144/8 = 18

if i drive 118.3 miles and my cars miles to gallon is 26.8 how many times would i have to fill up my tank?

Answers

You would have to fill up your tank 5 times because it would need 4.41 gal

Answer:

4.4.

Step-by-step explanation:

I rounded my answer to 4.4. You can divide 118.3 by 26.8 to get your answer. Hope this was helpful.

0.4.x -0.1=0.7 -0.3(6-2x)

Answers

Answer:

x=5

Step-by-step explanation:

Work out the percentage change to 2 decimal places when £78.98 is increased to £100​

Answers

Answer:

Percentage change = 26.61 %

Step-by-step explanation:

Given

Initial value = £78.98Final value = £100​

To determin

Percentage change = ?

Using the formula

Percentage change = (Final value - Initial value) / | Initial Vaue |  × 100%

                                  = (100​ - 78.98) / 78.98  × 100%

                                  = [21.02/78.98] × 100%

                                  = 0.266143 × 100%

                                  = 26.6143 %

Rounding off to 2 decimal places

                                   = 26.61 %

Therefore,    

Percentage change = 26.61 %

please help me asap!!!

Answers

Answer:

g=64.8 meters

Step-by-step explanation:

[tex]\frac{26.1}{24.3}[/tex] = [tex]\frac{69.6}{g}[/tex]

69.6×24.3= 26.1×g

1,691.28=26.1g

64.8=g

g=64.8

Hope this helps! :)

Oh, I got the order of the ratios wrong, I'm sorry.

I just corrected it.

Answer:

64.8

Step-by-step explanation:

Subtract. Write your answer in simplest form.

6 3/4 - 2 3/20

Answers

Answer:

(6-2) (3/4-3/20)

4 ((3×20-3×4)/80)

4 48/80

4 3/5

Test: Exam 1
Time Remaining: 02:32
This Question: 1 pt
15 of 20 (14 complete)
This Test
Goy Company has a break-even point of 88,000 units. The contribution margin per unit is $9.60. The desired target profit is $18,096. How many units must be sold to achieve the desired profit?
OA 1.885 units
OB. 106,096 units
O C. 88,000 units
OD. 89,885 units
Click to select your answer
o
c
-
CA
1
Type here to search

Answers

Answer:

The Answer is A

Step-by-step explanation:

Find the sum: (x + 3) + (4x - 1)

5x - 4

5x + 2

x - 4

9x
please answer fast i need help soon

Answers

Answer:

the answer is 5x + 2. I hoped that worked

What is 7 and three tenths minus 5 and seven tenths

Answers

Answer:

1.6

Step-by-step explanation:

7 and three tenths = 7 + 3/10 = 7.3

5 and seven tenths = 5 + 7/10 = 5.7

7.3-5.7 = 1.6 or can be written as 1 and six tenths, or 1 and three fifths.

7 3/10 - 5 7/10

Because the denominators are like we are gonna continue with the operation.

7 3/10 - 5 7/10
= 2 - 4/10

NB. The fraction is negative.

use multiplication to explain why 1/2 divided by 3 equals 1/6

Answers

Answer:

Imagine you have half of a cookie. You break it into three pieces to share with friends. You keep one piece, so you have 1/6 of the entire cookie. You can use multiplication to check your work. 1/6x3 =3/6 of 1/2  :D

Step-by-step explanation:

NEED ASAP !! HELP PLEASE 10 PTS

Answers

The correct answer for angle YVZ is 47 degrees

A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1, 140, write and solve an equation to find the number of couples attending the spring dance.

Please help me!! I have been stuck on this question for too long.

Answers

Answer: A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1,140, write and solve an equation to find the number of couples attending the spring dance. b. Solve the problem arithmetically. Show the steps you used. c. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.

Step-by-step explanation:

there ya go this was hard

52 Couples, (I’m new I don’t know if I’m doing this right) if we are talking about the total price then we have to subtract 100 because The $100 wasn’t a part of how much the couples had to pay. And then you’ll get 1040 and then you have to divide 1040 by 20 and then 52 will be left.(please don’t blame me if this is wrong lol just trying to help if I can)

please help me thank you in advance!

Answers

Answer:

x = √6/2

Step-by-step explanation:

Side a = 1.73205 --> √3

Side b = 1.22474 --> √6/2

Side c = 1.22474 --> √6/2

X + 14 = 56 What would I do to both sides to answer this equation? O Multiply both sides by 14 © Subtract both sides by 14 Subtract both sides by 14 Add both sides by 14​

Answers

To solve for X in this equation, you would subtract both sides by 14 because our goal is to get X on its own. If we write it out, we see that

X + 14 - 14 = 56 - 14

X=42

Because we have a positive 14, a negative 14 will average out to be 0, but what you do to one side, you must do to the other.

If you have any more questions, feel free to ask!

Sloving. Two step equation.

Answers

Answer:

w=18

Step-by-step explanation:

Answer:

W=18

Step-by-step explanation:

-6+2w=30

2w=30+6

2w=36

What is the 7.05 % of 1,051,50

Answers

Answer: 74130.75

Step-by-step explanation: plz mark brainliest

IN triangle ABC point D is the centroid and BD=4 Find BE

Answers

Answer:

2

Step-by-step explanation:

What is so special about the centroid? It is the distinct point that each of the three medians intersect. Therefore, from this definition we can figure out through some geometric proof (I'm not going to go into this) the following:

If you draw the medians, you will notice that they intersect at exactly one point. That is the centroid. You will also notice that the centroid splits the median into 2 parts: top and bottom. The proof suggests that the top part is 2 times the bottom part.

In this case, the centroid is D and the top point is B. Therefore, we can figure out that BD, the top part, must be 2 times the bottom part, which is BE. Thus, we determine that BE is 2 because 4/2 = 2.

I would encourage you to draw it out so you can understand. Unfortunately, typing may not work all the time

I need the work Plz help!​

Answers

Answer:

Yes

Step-by-step explanation:

In the first equation, sub in (-3x/2) for y:

3x+4y=12

3x+4(-3x/2)=12

3x-(12x/2)=12

3x-6x=12

-3x=12

x=-4

y=-3x/2

y=-3(-4)/2

y=12/2

y=6

Since x=-4 and y=6, (-4,6) is a solution.

A car traveling 118 miles uses 4 gallons of gas. At this rate, how many miles can it travel using 13 gallons of gas

Answers

Answer:

12 miles per gallon

Step-by-step explanation:

I hope this helps

383.5 miles

Step-by-step explanation:

118 miles = 4 gallons 118 ÷ 4 miles = 1 gallon29.5 miles = 1 gallon

so, therefore( 29.5 × 13 )miles = 13 gallons383.5 miles = 13 gallons

MARK ME BRAINLISTFOLLOW ME

10 x + 3 y=-5
-5 x - 4 y = 10 ​

Answers

Answer:

x=2/5, y=-3. (2/5, -3).

Step-by-step explanation:

10x+3y=-5

-5x-4y=10

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

10x+3y=-5

2(-5x-4y)=2(10)

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

10x+3y=-5

-10x-8y=20

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

-5y=15

y=15/-5

y=-3

10x+3(-3)=-5

10x-9=-5

10x=-5+9

10x=4

x=4/10=2/5

if ABCD is a square with 4 cm sides, find the length of JL.​

Answers

Answer:

There's supposed to be a picture to answer from because we don't know where are JL included in the square.

LAST QUESTION!!! HELP MATH EXPERTSSS

Answers

Answer:

Y=4

Step-by-step explanation:

8*0+4=4

Help Please 15 points!!!

Answers

The answer is -5(6x-1) /6
the answer is -5(6x-1)

The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents are provided. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independent samples of students follow. Two samples are contained in the Excel Online file below. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.
Student’s Parents
College
485
534
650
554
550
572
497
592
​Grads
487
533
526
410
515
578
448
469
​High School
442
580
479
486
528
524
​Grads
492
478
425
485
390
535
a. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. population mean math score parents college grads. population mean math score parents high school grads. _____ _____
b. What is the point estimate of the difference between the means for the two populations?
c. Compute the p-value for the hypothesis test.
d. At αα= .05, what is your conclusion?

Answers

Answer:

H0 is rejected and Ha is accepted that the students show a higher population mean math score on the SAT if their parents attained a higher level of education.

Step-by-step explanation:

Part a:

The null and alternate hypothesis can be formulated as

H0 : u1 ≤ u2 the two means ( of students whose parents did or did not attain a higher level of education) are equal .

against the claim

Ha: u1 > u2 the students show a higher population mean math score on the SAT if their parents attained a higher level of education.

Part b:

The point estimate of the difference between the means for the two populations is the difference of sample means

x1`- x2`

525- 487= 38

Student’s Parents

College Grads

x                                            x²

485      487               235,225         237,169

534      533                  285,156        284,089

650     526                 422,500         267,676

554       410                   306,916          168,100

550      515                   302,500        265,225

572      578                      327,184        334,084

497      448                     247,009        200,704

592     469                  350,464         219,961          

∑xi = 8400                      ∑xi ²= 4,462,962          

x1`= ∑ xi/n1= 8400/16= 525

Using statistic calculator Using formula :  σ(n-1)

s1= 59.4205

High School Grads

x                                          x²

442          492                   195,364            242,064

580          478                    336,400            228,484

479           425                      229,441             180,625

486            485                     236,196            235,225

528            390                     278,784           152,100

524             535                     274,576           286,225        

∑xi = 5844                                 ∑xi ²= 2,875,484                

x2`= ∑ xi/n2= 5844/12= 487

Using statistic calculator Using formula :  σ(n-1)

s2= 51.7476

x1`- x2`= 525- 487= 38

The test statistic is

t= (x1`- x2`) / √ s1²/n1+ s2²/n2

t= 38/ √(59.4205)²/16 + (51.7476)²/12

t=38 / √3530.7958/16 + 2677.8141/12

t= 1.804

and the degrees of freedom is

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= [3530.7958/16 + (2677.8141/12) ]²/ (3530.7958/16)²/15 +(2677.8141/12)²/11

≈ 25

The degrees of freedom is always rounded in this calculation

From the table t∝ = 1.708

Hence critical value is t ≥ t∝

Reject H0:

Part C.

The p-value is 0.041647.

The result is less than  0.05.

Result:

H0 is rejected and Ha is accepted that the students show a higher population mean math score on the SAT if their parents attained a higher level of education.

Pls help I’ll brainlest ASAP

Answers

Step-by-step explanation:

Given

-30 = - 0.4 k

30 = 0.4k

k = 30 / 0.4

k = 75

hope it helps :)

Answer:

Simplifying

-38 = -0.4k

Solving

-38 = -0.4k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '0.4k' to each side of the equation.

-38 + 0.4k = -0.4k + 0.4k

Combine like terms: -0.4k + 0.4k = 0.0

-38 + 0.4k = 0.0

Add '38' to each side of the equation.

-38 + 38 + 0.4k = 0.0 + 38

Combine like terms: -38 + 38 = 0

0 + 0.4k = 0.0 + 38

0.4k = 0.0 + 38

Combine like terms: 0.0 + 38 = 38

0.4k = 38

Divide each side by '0.4'.

k = 95

Simplifying

k = 95

What is the lowest common multiple of 24 and 84

Answers

Answer:

LCM (24,84) = 168

Step-by-step explanation:

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

Multiples of 24:

24, 48, 72, 96, 120, 144, 168, 192, 216

Multiples of 84:

84, 168, 252, 336

Therefore,

LCM(24, 84) = 168

A lawn seed mixture contains three types of seed: bluegrass, rye, and Bermuda. The costs per pound of the three types of seed are 12 cents, 14 cents, and 3 cents, respectively. In each batch there must be at least 25% bluegrass seed, and the amount of Bermuda must be no more than 2/3 the amount of rye. To fill current orders, the company must make at least 6000 pounds of the mixture. How much of each kind of seed should be used to minimize cost

Answers

Answer:

612 dollars

Step-by-step explanation:

From the given information:

Amount of the total mixture = 6000 pounds

Also, for each batch, there needs to be at least 25% bluegrass seed.

It implies that:

In 6000 pounds, there are (25×6000)/100 = 1500 pounds of bluegrass seed.

The remaining amount of (6000 - 1500 = 4500)pounds will be for rye and Bermuda.

Suppose the amount of rye seeds = x pounds

while that of Bermuda is (4500 - x) pounds

Then, since the amount of Bermuda contains no more than 2/3 of that of rye.

The equation can be written as:

[tex]( 4500 - x) = \dfrac{2x}{3}[/tex]

13500 - 3x = 2x

13500 = 5x

[tex]x = \dfrac{13500}{5}[/tex]

x = 2700

Now, the amount of rye seed = 2700 pounds

while that of Bermuda seed = 4500 - 2700 = 1800 pounds

However, For Bluegrass, we are told that the cost of 1 pound is 12 cents.

So, the cost of 1500 bluegrass seeds = 12 × 1500 = 18000 cents

For rye seed; cost of 1 pound = 14 cents

the cost of 2700 rye seeds = 14 × 2700 = 37800 cents

For Bermuda seed; cost of 1 pound = 3 cents

the cost of 1800 rye seeds = 3 × 1800 = 5400 cents

The total amount = (18000 + 37800 + 5400) = 61200 cents

Recall that:

100 cents = 1 dollars

61200 cents = x dollars

x = 61200 cents/100 cents

x = 612 dollars

Thus, the minimum cost is 612 dollars.

Each sundae counts as three , find the mean of the data in the pictograph below. Plsss :)

Answers

Answer:

12

Step-by-step explanation:

add the numbers to get the total then divide the total by the amount of columns/numbers.

12 + 12 + 18 + 6 = 48

48 / 4 = 12

Answer:

12 + 12 + 18 + 6 = 48

48/4 = 12

Agatha borrowed $4,500 from the bank. 4 years later, Agatha owes the bank $5,040. What was the percentage rate of simple interest in the loan?

Answers

Answer:

12%

Step-by-step explanation:

If we subtract both numbers we get 540.

[tex]\frac{540}{4500} = \frac{x}{100} \\[/tex]

540 x 100 = 54,000

54,000 / 4,500 = 12%

How do you create and solve equations in one variable given a real–world situation?

Answers

Step-by-step explanation:

1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)

ex: if   x+9=32

subtract 9 from both sides to get rid of it

x=23

2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it

you could multiply by 3 on both sides:

x+9=69

x=60

Answer:

1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)

ex: if   x+9=32

subtract 9 from both sides to get rid of it

x=23

2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it

you could multiply by 3 on both sides:

x+9=69

x=60

Hope this helps!

Step-by-step explanation:

Other Questions
While shopping for clothes, Daniel spent $26 less than 2 times what Jaclyn spent. Daniel spent $14. Write and solve an equation to find how much Jaclyn spent. Let x represent how much Jaclyn spent. The equation that can be used to determine how much Jaclyn has spent is 2 x 26 = 14 . Justin bought 12 souvenirsduring 6 days of vacation. Howmany days will Justin have tospend on vacation before he willhave bought a total of 20souvenirs? The expression below shows how to convert 12 gallons to cups with one part missing.Which value completes the expression? A. B. C. D. Find a solution to the linear equation y=x+7 by filling in the boxes with a valid value of x and y. A6 cm object is 8 cm from a convex lens that has a focal length of 2.7 cm. The image is 4 cm from the lens. The height of the image is ?? cm. an aircraft landing on an air craft carrier is brought to a complete stop from an inital velocity of 215km/hr in 2.7 seconds. what is iys acceleration in m/s2 1/34=...................................................................................... What is the name of the angle pair for Which of the following is the most efficient way nitrogen is transferred out the bodies of living human beings back into the environment?O A. decompositionO B. photosynthesisC. respirationD. excretion what percentage of the Cherokee population was lost due to the Trail of Tears? about a quarterabout a tenthabout one half 7. Si el permetro de un cuadrado es igual 48 m El rea del mismo es iguala) 134 m? b) 144 m2 C) 154 m2 d) 124 m2 naratibong ulat batay sa isang pangyayari Solve y = x + 6 for X.x= y + 6x= -y + 6x = y - 6x= -y - 6 Please help with number 16 Pls help Ill brainlest): What part of speech can usually be changed into an adverb by adding -ly?AnounBadjectiveCverbDinterjection find the value of s when u = 14, a = 8 and t = 4. s=ut+1/2at^2 In IJK, k = 7.2 cm, J=55 and K=67. Find the length of i, to the nearest 10th of a centimeter. Clara makes and sells paintings. The supplies needed to make each painting cost her $13.00. She earns $75.00 for each painting she sells.Which set of integers best represents these values? Can anyone Help me !?.