If 35% of a number is 98 and 80% of the same number is 224, find 45% of that number.
9514 1404 393
Answer:
126
Step-by-step explanation:
If n represents the original number, we have
(35%)n = 98
(80%)n = 224
We want to find (45%)n.
(45%)n = (80% -35%)n = (80%)n -(35%)n
(45%)n = 224 -98 = 126
45% of the number is 126.
13. A certain town with a population of 100,000 has 3 newspapers: I, II, and III. The proportions of townspeople who read these papers are as follows: I: 10 percent I and II: 8 percent I and II and III: 1 percent II: 30 percent I and III: 2 percent III: 5 percent II and III: 4 percent (The list tells us, for instance, that 8000 people read newspapers I and II.) Find the number of people who read only one newspaper. How many people read at least two newspapers
Answer:
a) the number of people who read only one newspaper is 20,000
b) number of people read at least two newspapers is 12,000
Step-by-step explanation:
Given the data in the question;
A certain town with a population of 100,000 has 3 newspapers
a)Find the number of people who read only one newspaper
From the Venn-diagram illustrating the data in the question;
Number of that read only one paper will be;
=[ ([tex]I^{}[/tex]∩ [tex]II^{c}[/tex] ∩ [tex]III^{c}[/tex]) + ( [tex]I^{c}[/tex] ∩ [tex]II^{c}[/tex] ∩ [tex]III^{c}[/tex]) + ( [tex]I^{c}[/tex] ∩ [tex]II^{c}[/tex] ∩ [tex]III^{}[/tex]) ] × 100,000
= [ 1% + 19% + 0% ] × 100,00
= 20% × 100,000
= 20,000
Therefore, the number of people who read only one newspaper is 20,000
b) How many people read at least two newspapers;
Number of people read at least two newspapers will be;
= [ ([tex]I^{}[/tex]∩ [tex]II^{}[/tex] ∩ [tex]III^{c}[/tex]) + ( [tex]I^{}[/tex] ∩ [tex]II^{c}[/tex] ∩ [tex]III^{}[/tex]) + ( [tex]I^{c}[/tex] ∩ [tex]II^{}[/tex] ∩ [tex]III^{}[/tex]) + ( [tex]I^{}[/tex] ∩ [tex]II^{}[/tex] ∩ [tex]III^{}[/tex]) ] × 100,000
= ( 7% + 1 % + 3% + 1% ) 100,000
= 12% × 100,000
= 12,000
Therefore, number of people read at least two newspapers is 12,000
9. 5(6р -3) -2 = 2(15р – 11) - 5
An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars were removed, the ratio of horseshoe crabs to sea stars was 5:3. How many horseshoe crabs and sea stars were there at first? Solve this problem and explain your reasoning.
Answer:
45 horseshoe crabs and 45 sea stars
Step-by-step explanation:
The aquarium initially contained x crabs and x sea stars.
"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"
(x-15):(x-27) = 5:3
(x-15)/(x-27) = 5/3
3(x-15) = 5(x-27)
3x-45 = 5x-135
90 = 2x
x = 45
Jasmine ran 5 miles in 42 minutes.
Part A
At what rate did Jasmine run?
Jasmine ran at a rate of
minutes per mile.
Question 2
Part B
Katie ran 4 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer.
HELPPPPPPPP.
A 5-pound bag of red onions costs $3.90. What is the unit price?
per pound
Answer:
OK, I love these questions. The way to get the answer is always remember this formula- (PRICE DIVIDED BY QUANTITY). In this case, the price for a 5 pound bag of onions costs 3.99. So, to find the unit price per pound, all you need to do is divide 3.99 by 5. If you do the math (3.99/5), you'll get the answer of 79 cents per pound. If your asked to round, the answer would be 80 cents per pound.
help please! look at question
Determine whether line c is a transversal of lines a and b. Explain your reasoning.
I WILL AWARD DA BRILLIANT AWORD THINGY
Answer:
Yes
Step-by-step explanation:
A transversal line is a line that intersects two or more lines. Since line C is intersecting two lines, it is transversal.
The required line C is a transversal of lines a and b.
What is a line?A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
The line which intersects two or more lines is said to be a transversal line.
So as of the given figure, line C intersects line a and line b so Line C is a transversal line.
Thus, the required line C is a transversal of lines a and b.
Learn more about lines here:
brainly.com/question/2696693
#SPJ2
Solve each inequality, and then drag the correct solution graph to the inequality.
Answer:
Step-by-step explanation:
[tex]2 \sqrt{2} [/tex]
Jerry has two same size circles divided into same number of equal parts. One circle has has 3/4 of the parts shaded and the other has 2/3 of the parts shaded. His sister says the least number of pieces could be divided into 7,
Answer:
Step-by-step explanation:
An equation of a line through (-1, 1) which is parallel to the line y = 5x + 1 has slope:
and y-intercept at:
Answer:
The slope is 5 and the y-intercept is at (0, 6)
Step-by-step explanation:
Parallel lines have the same slope, so the slope of the equation is 5. The equation is y = 5x + 6, so the y-intercept is 6.
Select all the fractions that are
equivalent to a whole number.
9/3 -16/8 7/0 -5/3 0/5
2/5+ 1/2 simplified
Answer:
9/10
Step-by-step explanation:
combine the fractions yk?
HELP! DUE IN 5 MINS TvT
Could the table of (x,y) pairs
Have been generated by a linear function?
O. Yes
O. No
Estimate the quotient of
1,483 ÷ 4.
5 × ( 1 / 3 + 2 / 5 ) =
write your answer as a mixed number
Answer: the answer is 2 and 1/15
Step-by-step explanation:
You can rent a car for $45 per day plus $0.75 per mile. (This includes taxes.) If you have $120 to spend, find the number of miles you can drive.
PLS HELP ONLY 1 question
375 is 60% of what number
Answer:
625
Step-by-step explanation:
60% x x = 375
you would multiply both sides by 100 and divide both sides by 60 so
×=625
Hope this helps!
resolver las siguientes multiplicaciones de fraciones
Answer:
Which one?
Step-by-step explanation:
n-10 +9n -3= ggggggggggggggggggggggggggggggggggg
Answer:
1.428571428571429
Step-by-step explanation:
Answer:
n-10 +9n -3= ggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
n-10 +9n -3= ggggggggggggggggggggggggggggggggggg
write an expression for the phase the difference of twice a number (n) and 3
Answer:
2n - 3
Step-by-step explanation:
twice a number means to multiply it by 2
difference of a number and 3 is a number being reduced by 3 so the 3 comes after the subtraction sign
What is the value of X?
100°
60°
X
A.60
B.20
C.100
D.40
20
Step-by-step explanation:
X+100+60=180(due to stright angle) =X+160=180 =X=180-160 =X=20A gallon of milk cost $2.79 in 2000. In 2015, it cost $ 3.98.
Does this show an increase or decrease?
What is the percent change in price?
Answer:
increase, about a 143% increase from milk in 2000
Emergency!!! Please I need help!!!!!!!
Ryan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he
makes. The equation P = 17.50x + 65 represents Ryan's total pay on a day on
which he sells x computers. What is the y-intercept of the equation and what is its
interpretation in the context of the problem?
What is the Y intercepts of the function?
Answer:
i cant really tell what the question is asking but:
Step-by-step explanation:
65 is the y intercept and i think it stands for the minimum pay that he recieves each day no matter how many computers he sells.
PLS HELP IM BEING TIMED
Answer:
c- 44
180-136
Step-by-step explanation:
pls mark brainliest :)
Answer:
c.44
Step-by-step explanation:
∠D+136=180(properties of trapezium)
∠D=44
Tyler has 30 marbles 40% of his marbles are blue how many of his marbles are blue
Answer:
12 marbles are blue.
Step-by-step explanation:
3 x 4 = 12, so 40 % of 30 is 12.
A ladder is leaned against a wall with its base 6m from the wall. The ladder makes a 50 degree angle with the ground. How long is the ladder?
Answer:
b
Step-by-step explanation:
6+3×(13−2)−5^2
whoever answers first will get branliest and will get 50 points
Answer:
14
Step-by-step explanation:
