Answer:
Fraction of composite numbers = 6/10
Fraction of prime numbers = 4/10
Step-by-step explanation:
A composite number can be defined as a positive integer that will be formed when we multiply two smaller positive integers. It can also be said to be a positive integer that has at least one divisor of which 1 and itself are not included.
Thus, it means that the set of numbers given to us which is;
(11, 12, 13, 14, 15, 16, 17, 18, 19, 20), the composite numbers are;
12, 14, 15, 16, 18, 20
This is because each of them have at least one divisor that is neither itself or 1.
Thus, we have 6 out of the 10 numbers as composite.
Fraction of composite numbers = 6/10
Now, a prime number is a number that are only divisible by itself and 1.
Thus,from the given set, the prime numbers are; 11, 13, 17 & 19
We have 4 out of 10 numbers as prime numbers.
Thus, fraction of prime numbers = 4/10
What are the solutions to the equation 3x2 + 10x = 8
Answer:
(3x-2)(X+4)
X=2/3,-4
Step-by-step explanation:
3x^2 + 10x = 8
3x^2+12x-2x-8=0
3x(X+4)-2(X+4)=0
(3x-2)(X+4)=0
X=2/3,-4
So the solution is 2/3,-4
Tarea resuelta de matemática semana 32 3ro de secundaria.
Answer:
Solved math homework week 32 3rd of secondary school.
Felicidades
Step-by-step explanation:
There are 4680 gym members in total. 3 8 are aged 25 - 59 years, 2 5 are over 60 years and the remainder are under 25 years.
I WILL GIVE BRAINLIEST PLEASE HELP
Answer:
15/19
Step-by-step explanation:
60/4 = 15
76/4 = 19
15/19
Answer:
76/60 i think
Step-by-step explanation:
1) Fairview and Abbots Rise are 5 in apart on a map that has a scale of 1 in : 18 mi. How far apart are the real cities? 2) A particular satellite is 12 ft wide. A model of it was built with a scale of 1 in :3 ft. How wide is the model? Please help me I have 4 more questoins
Answer:
1) 90 mi
2) 4 inch
Step-by-step explanation:
1)
Given that the distance between Fairview and Abbots Rise on the map = 5 in
Scale of the map = 1 in: 18 mi
i.e. 1 inch on map is equivalent to an actual distance equal to 18 mi between the cities.
Given that the map has a distance of 5 inches.
Therefore, the actual distance between the cities = 5 [tex]\times[/tex] 18 = 90 mi
2) A particular satellite is 12 ft wide.
Model's scale = 1 in : 3 ft
i.e. 1 inch on map is equivalent to actual distance of 3 ft.
OR
3 ft of actual distance = 1 in on map
1 ft of actual distance = [tex]\frac{1}{3}[/tex] in on map
12 ft of actual distance = [tex]\frac{1}{3}\times 12 = \bold{4\ inch}[/tex]
what is 4 divided by 0.576
4 divided by 0.576 is approximately equal to 6.9444.
To find the result of 4 divided by 0.576, we can perform the division by dividing the numerator ( 4 ) by the denominator ( 0.576 ).
When we divide 4 by 0.576, we get approximately 6.9444.
Therefore, 4 divided by 0.576 is approximately equal to 6.9444.
In decimal form, this indicates that 4 can be divided into 0.576 approximately 6.9444 times. The result is a decimal number that extends to multiple decimal places. To obtain a more precise or exact answer, additional decimal places may need to be considered in the calculation.
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Which expression represents the phrase below?
The product of 15 and the quantity 12 less than a number.
a. (15 x 12) - a
b. 15(a - 12)
c. 15+ (12-a)
d. 12a * 15
Answer:
Answer C
Step-by-step explanation:
the product of 15 and the quantity 12 less than a number
The cash price of a laptop is $1299. It can be bought at hire purchase by making a deposit of $350 and 10 monthly payments at $120 each.
(i) What is the TOTAL hire purchase
(ii) How much is saved by buying the laptop for cash
I) The TOTAL hire purchase of the laptop is; $1550
II) The amount saved by buying the laptop for cash is; $251
I) We are told that the laptop can be bought at hire purchase by making a deposit of $350 and 10 monthly payments at $120 each.
Thus;
Cost of laptop by hire purchase = 350 + 120(10)
>> 350 + 1200
>> $1550
II) Since the cash price is $1299, then amount saved = 1550 - 1299
>> $251
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With the equation 3x - 5 = x + 3,
Answer:
x = 4 :)
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
3x - 5 = x + 3
add 5 to both sides
3x = x + 8
subtract x from both sides
2x = 8
divide both sides by 2
x = 4
Write the slope- intercept form of the equation of the line described through (4,5) parallel to y= 1/4x-4
Answer:
y = 1/4 x + 4
Step-by-step explanation:
1. Because the new equation is parallel to y= 1/4x - 4 => the slope is still the same => New equation : y = 1/4x + b ( b is a number that we'll find now)
2. Put x = 4 and y = 5 in the new equation
=> 5 = (1/4)(4) + b
=> b = 4
3. So then we'll have the new equation that is parallel to y = 1/4x-4
A 12 inch board is cut into three pieces so that the second piece is as long as the first piece and the third piece is 3 times as long as the first piece of x represents the first piece find the lengths
Step-by-step explanation:
well that seems like a you problem lol
Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?
Number of Puzzles
(x)
Number of Pieces
(y)
4
420
6
630
8 puzzles and 800 pieces
8 puzzles and 840 pieces
10 puzzles and 1,000 pieces
10 puzzles and 1,200 pieces
Answer:
ANWSER A
Step-by-step explanation:
Answer:
Answers A
Step-by-step explanation:
Just took the test
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66+36 his work is shown below. Which statement best describes Gary's error?
A) Gary did not use correct factors for 66 in the equation
B) Gary did not use correct factors for 36 in the equation
C) Gary did not use two equivalent expressions in the equation.
D) Gary did not use the greatest common factor in the equation.
Answer:
A
Step-by-step explanation:
A because 1, 2, 3, 4, 6, 11, 22, 33, 66
The ratio x : y is equal to 2 : 5, and y is 80% of z. Write an equation to represent the proportional relationship between x and z.
Answer:
x : z = 8 : 25Step-by-step explanation:
Given
x : y = 2 : 5, y is 80% of zRearranging the ratios:
x/y = 2/5 ⇒ x/y = 0.4 ⇒ y = x/0.4 ⇒ y = 2.5xy is 80% of z ⇒ y = 0.8zComparing the values of y:
2.5x = 0.8zx/z = 0.8/2.5x/z = 0.32x/z = 32/100 x/z = 8/25x : z = 8 : 25DUE BY 3:30
For the following figure , the value of x is
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[tex]x = 8 \: \: in[/tex]
[tex]y = 8 \sqrt{2} \: \: \: in[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I need help on my math work.
Answer:
i believe it is the suburban apartment
Step-by-step explanation:
i believe this because if the area calculation. the sides are more the other.
Question 8 » Our galaxy, the Milky Way, has a diameter of about 1* 1021 meters. The largest galaxy known to man, the IC 1101, has a diameter of 5 * 1022 meters. The diameter of the IC 1101 is about how many times greater than the diameter of the Milky Way? Milky Way: 1x 1021 m IC 1101: 5 x 1022 m 5 50 5,000 500
Answer:
the Milky Way, has a diameter of about 1x10^21 meters. the largest galaxy known to man, the ic 1101, has a diameter of 5x10^22 meters.
Step-by-step explanation:
Complete the table by finding the balance A when P dollars is invested at rate r for t years and compounded n times per year. (Round your answers to the nearest cent.)
P = $2500, r = 3%, t = 10 years
n A
1 $
2 $
4 $
12 $
365 $
Continuous $
Answer:
I had this exact question on my test yesterday! That's so crazy!
Step-by-step explanation:
Shelley has a 1 1/2 pound supply of Cat Treats. Each day she gives her kitten 1/8 pound of the treats. How many days will the supply of treats last
Answer:
The treats will last 12 days.
What is the solution for y=2x+3, y=2x-3
Answer:.
Step-by-step explanation:
A bicycle is traveling at 21 miles per hour. How many feet will it cover in 35 second?
Use counters or a number line to find the sum.
-4 + (-6)
Answer:
the answer is -10
Step-by-step explanation:
3{[3(9 – 2)] + [7(8 – 1)]}
Bob paid $5.60 for 0.8 lb of fresh peaches.
How much would 3.25 lb of peaches cost?
Answer:
22.75
Step-by-step explanation:
5.6 divided by 0.8=Constant Variation=7
3.25*7=22.75
The price of the 3.25 lb peaches is $22.75.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Bob paid $5.60 for 0.8 lb of fresh peaches. The price of the 3.25 lb peaches will be calculated as,
0.8 lb of peaches ⇒ $5.60
1 lb of peach ⇒ $5.60 / 0.8
3.25 lb of peaches ⇒ (3.25 x $5.60 ) / 0.8
3.25 lb of peaches ⇒ $22.75
Therefore, the price of the 3.25 lb peaches is $22.75.
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What is the slope of the line?answer
Answer: -1/2
Step-by-step explanation:
Answer:
The slope is -1/2
Step-by-step explanation:
Go down then over to find the negative slope
rise/run or fall/run
Go down from the "pretty point" or perfect point and the over.
At least I tried!.....#DareCompleted
Answer:
Very nice Drawing. Your try is so nice
(5 marks)
b) Anthony plans to take up business and purchase a shop lot near his home. He saves
RM10,000 in an account that pays 6% compounded every four months. Four years
later, he withdrew all his money to pay for the down payment of the shop lot.
D)
Find the value of the down payment.
(3 marks)
I thought this right but sorry if it is wrong
first make the 6% in amount by 6×10,000÷100=3600
then, the convert 4 year into month by (4×12)=48month. after that divide 48months by 4 month.i.e.48÷4=12.at last multiply 12 by 3600.i.e. 12×3600=43200
A patio 44, feet wide is being constructed next to a house. To drain water off the patio and away from the house, a slope of 1/2 inch per foot is necessary. What total
difference in height is required from one edge of the patio to the other?
Answer:
the total difference in height will be 22 inches
Step-by-step explanation:
since the slope is 0.5 inch per foot, and the patio is 44 feet wide, the end of the patio will be 0.5 x 44 = 22 inches lower
the slope measures how much the height (Y axis) will change as the length (X axis) increases by 1 unit. In this case, since the height decreases as the length increases the slope is negative.
prove that 1/log (xy)² +1/log(xy²) + log(xy³) =1 there base are x,y and z respectively.
Answer:
[tex]1/log (xy)² +1/log(xy²) + log(xy³) =1[/tex]
Step-by-step explanation:
This is your equation, right? Just checking
True or false
If a prime number is greater than 2, it is odd
Answer:
true
Step-by-step explanation:
if a prime number were even, and greater than 2, they would be able to be divisible by 2 and therefore not a prime number
Answer:true
Step-by-step explanation:
A prime number is a number that can only be multiplied by 1 to get itself, an even number is a number that can be multiplied by 2. Thus it is true.