350 people watched a beauty contest. Some paid GH¢20.00 each while others paid GH¢30.00 each. The total amount collected was GH¢8,800.00. Find how many paid the two different rates.
Answer: 170 people paid GH¢20 and 180 people paid GH¢30
Step-by-step explanation:
Let the number of people that paid GH¢20 be represented by x.
Let the number of people that paid GH¢30 be represented by y.
Based on the above information given, we can form an equation which will be:
x + y = 350 ....... i
20x + 30y = 8800 ....... ii
Multiply equation i by 20
20x + 20y = 7000 ...... iii
20x + 30y = 8800 ...... iv
Subtract iii from iv
10y = 1800
y = 1800/10
y = 180
Since x + y = 350
x = 350 - y.
x = 350 - 180
x = 170
Therefore, 170 people paid GH¢20 and 180 people paid GH¢30
which of with of the following would be the most appropriate unit to weigh a single medicinal pill
Answer:
hi, I need the weights provided in the question to answer this question
A letter is chose at random from the word PROGRESSIVENESS. Find the probability that the letter is an E, given it is a vowel.
2/5
4/15
1/5
3/5
Answer:
1/5
Step-by-step explanation:
there is 3 e's out of a 15 letter word
reduces down to 1/5
Solve the following equations mentally 1. 5 – x = 8 2. -1 = x – 2 3. -3x = 9 4. -10 = -5x
Answer:
1. 5 – x = 8 , x = -3
2. -1 = x – 2 , x = 1
3. -3x = 9 , x = -3
4. -10 = -5x , x= 2
Step-by-step explanation:
Answer:
1. x= -3 ,2. x=1 , 3.x= -3 ,4.x=2
Megan's age is three years more than four times her daughter's age. If Megan's daughter's age is $d$ , Megan's age is
Answer: 4d + 3
Step-by-step explanation:
Megan's daughter's age = d
Based on the information given, since Megan's age is three years more than four times her daughter's age, this can be written mathematically as:
= (4 × d) + 3
= 4d + 3
Therefore, Megan's age is 4d + 3.
For example, if the daughters age is 7 years, Megan's age will be:
= 4d + 3
= 4(7) + 3
= 28 + 3
= 31 years
What two numbers multiply to get 18 but add to get -12
Answer:
-6+3[tex]\sqrt{2}[/tex] and -6-3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
xy = 18
x+y = -12
y = -12-x
substitution method:
x(-12-x) = 18
-12x - x² - 18 = 0
-x² - 12x - 18 = 0
-(x² + 12x + 18) = 0
used quadratic formula:
(-12±√144 - 4(18)) ÷ 2
(-12 ± [tex]\sqrt{72}[/tex]) ÷ 2
(-12 ± 6[tex]\sqrt{2}[/tex]) ÷ 2
= -6 ± 3[tex]\sqrt{2}[/tex]
Hi! Answer this please!
Please help ASAP (pic) will give brainilest
Answer:
493,864$
Step-by-step explanation:
17,638x28$
do you need a pic (to show my work) or are you talking about your pic
Consider two functions: g(x)=−x^2−6x and the quadratic function f(x) shown in the table.
Which statements are true?
Answers:
f(x) is greater than g(x) on the interval (0,3)
g(3) is less than f(3)
The average rate of change of f(x) is greater than g(x) on the interval [0,3]
Answer:
The average rate of change of f(x) is greater than g(x) on the interval [0,3]
Step-by-step explanation:
:)) Hope it helps!!
Find measure of angle WZY.
Answer:
the answer is 4
Step-by-step explanation:
8x-1=5x+11
3x=12
x=4
PLZ HELP! QUESTIONS ARE BELOW! :D
Answer:
2) A = 12 in.²
5) A = 737 in.²
6) A = 48 in.²
9) A = 2400 in.²
Step-by-step explanation:
2)
Trapezoid
base1 = 4 in.
base2 = 2 in.
height = 4 in.
A = (b1 + b2)h/2 = (4 + 2)(4)/2 = 12
A = 12 in.²
5)
rectangle + semicircle
A = LW + ½πr²
A = 29 * 20 + ½(3.14)(10²)
A = 580 + 157
A = 737 in.²
6)
A = 8 * 8 - 4 * 4
A = 48 in.²
9)
A = 50 * 60 - 20 * 30
A = 2400 in.²
5. y=12
Point:
Slope:
What are or is the point. And what’s the slope
Answer:
Slope=0
Step-by-step explanation:
Point=Y
What do the signs need to be to multiply to get a positive and add to get a negative ?
HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I NEVER WAS PREPARED PLSSS HELP IM NEXT PLS DRAW IT FOR MEE :( EVEN IF ITS EDITED I WOULD APPRECIATE TYSM HAVE A GOOD DAY! (And if u don’t know 1 u don’t have to do both only one but pls try :(
Answer:
Hey I did a few for you :)
Step-by-step explanation:
Hope this helps!
Have a nice day<3
Derrick started a new job at McDonald's. He makes $10 per hour. Which
equation models his total weekly earnings y, in terms of the number of
hours he works x? *
Answer:
10x=y.
Step-by-step explanation:
10 represents the amount he earns an hour. X represents the number of hours so 10x. 10 times the amount of hours equals y (total amount of money)
Answer:
y = 10x
Step-by-step explanation:
The total earnings, y, is equal to the hourly rate, 10, times x, the hours worked.
y equals 10 times x, or, in equation form, y = 10x.
I hope this helps ^^
20 points!! Pls help me out!!
Answer: C. J=5
Step-by-step explanation: Hope this help :D
Find the image of D under the translation described by the translation rule T<-11, 8>
- E
- C
- A
- B
Answer:
B
Step-by-step explanation:
(x +(-11)) means that you move point D to the left by 11.
(y + 8) means that you move the point D up by 8
this will give you a point B
HELP!!! answer quickly pls
Answer:
The answer is the 2nd one.
Step-by-step explanation:
It is the only one that makes sense.
Hope this helps you.
In a congressional district, 55% of the registered voters are Democrats. Which of the following is closest to the probability of getting less than 50% Democrats in a random sample of size 100?
Is this an example of a sample proportion OR a sample mean?
Answer:
sample mean
Step-by-step explanation:
Using the normal distribution and the central limit theorem, considering that this is a sample proportion, as we are dealing with percentages, it is found that there is a 0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex].In this problem:
55% of the registered voters are Democrats, hence [tex]p = 0.55[/tex].A sample of size 100 is taken, hence [tex]n = 100[/tex]The mean and the standard deviation of the sampling distribution of sample proportions are given by:
[tex]\mu = p = 0.55[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.55(0.45)}{100}} = 0.04975[/tex]
The probability of getting less than 50% Democrats in a random sample of size 100 is the p-value of Z when X = 0.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.5 - 0.55}{0.04975}[/tex]
[tex]Z = -1.01[/tex]
[tex]Z = -1.01[/tex] has a p-value of 0.1562.
0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 26 inches, and the length of the base is 18 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
Answer:
if it was 29inches it would be 78.7
Step-by-step explanation:
The given altitude and the base length of the triangle can be used for
finding the lengths of the other two sides.
The perimeter of the triangle is approximately 73.0 inches
Reasons:
The altitude is the perpendicular bisector of the base of the triangle
Length of the altitude = 26 inches
Length of the base of the triangle, b = 18 inches
Required:
The perimeter of the triangle
Solution:
The base length of the two congruent triangles formed are [tex]\dfrac{18 \, cm}{2}[/tex] = 9 cm
each.
Therefore;
The length of the hypotenuse side, L, is given by Pythagoras's theorem as
follows;
L² = 9² + 26² = 757
The hypotenuse side, L = The length of the equal sides of the isosceles triangle
Therefore, the perimeter of the triangle, P = b + 2·L
Which gives;
To the nearest tenth, the perimeter of the triangle, P = 18 + 2·√(757) ≈ 73.0
The perimeter of the triangle, P ≈ 73.0 inches
Learn more here:
https://brainly.com/question/19267912
what is the answer to 26=179-9k
2. A jeweler bought an antique watch for $500. He then sold it in his store $850. What was the percent of change in the price of the watch? Show work here A. 41.2% decrease B. 41.2% increase C. 70% decrease D. 70% increase
Answer:
70% increase
Step-by-step explanation:
HELPPP W TRIANGLE ABC graph!!??
-3,4. i adding this cause this answer needs atleast 20 characters
solve for x and y x+y=a;x-y=b
Answer:
x = a + b - a/ 2
y = - b - a/ 2
Step-by-step explanation:
No Solutions
2x + 9 + 3x + x =
One Solution
2x + 9 + 3x + x =
x +
Infinitely Many Solutions
2x + 9 + 3x + x =
Answer:
.
Step-by-step explanation:
hii please help asap ill give brainliest thanks
Answer: A) Buddhism
Step-by-step explanation:
Answer:
Thee answer is A. Buddhism. Hope this helps!
Step-by-step explanation:
Dominick's class flew model airplanes. He recorded the flight distances in a line plot. What is the difference between the longest and shortest distances the model airplanes flew? *
A.3 FEET
B.3 1/2 FEET
C.3 3/4 FEET
D.4 FEET
PLS HELP MEEEE
173.59x10 3 . Please help me get this i have been working on it for 2 hrs
Brianna has a balance of $8,000 on her credit card. After talking to a financial advisor, Brianna decided to get a loan from the bank and discontinue using her credit card. The bank will charge Brianna 3.5% interest. Which of the following could be used to calculate the total repayment on Brianna’s loan after 4 years if she has a monthly payment of $178.85?
A. 4(178.85)
B. 4(12)(178.85)
C. 4(12)(178.85) − 8000
D. 4(8000)(0.035)
cuanto es la raiz cuadrada de 123
Answer:
11.0905365064
11.1 (rounded)
Step-by-step explanation:
[tex]\sqrt{123} =11.090[/tex]
Answer:
Step-by-step explanation:
11.0905365064