Answer:
30
Step-by-step explanation:
You can use prime factorization to find the HCF of both numbers.
First, list out the prime factors of both numbers.
120: 2³ × 3 × 5
150: 2 × 3 × 5²
Next, find the common prime factors of both numbers and multiply them together.
common prime factors: 2 × 3 × 5 = 30
Answer:
30Step-by-step explanation:
Find the prime factorization of 120120 = 2 × 2 × 2 × 3 × 5Find the prime factorization of 150150 = 2 × 3 × 5 × 5To find the HCF, multiply all the prime factors common to both numbers:Therefore, HCF = 2 × 3 × 5HCF = 30The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).A milky way candy bar has a height of 2.4 cm, a width of 3 cm, and is 6 cm long.
What is the volume of the candy bar?
Answer:
V=lbh=2.4×3×6=43.2cm^3
We are given a candy batband we are given its dimensions
height = 2.4cmwidth= 3cmlength= 6cmTO FINDWe need to find it's volume
Volume of a cuboid is given by l×b×h
SOLUTIONVolume = length × breadth × height
Volume = 2.4 × 3 ×6
Volume = 43.2 cm^3A truck uses 1 gallon of diesel for every 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveling s miles is give by s= 120-12r.
The question has missing details. However, general questions that could be asked is as follows:
(1) The number of miles traveled after using (say) 5 gallons
(2) The number of gallons used after traveling for (say) 36 miles
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]s = 120 - 12r[/tex]
A linear equation is represented as:
[tex]y = c + mx[/tex]
Where
[tex]c =y\ intercept[/tex] and
[tex]m = slope.[/tex]
c, in this question represents the initial capacity of the tank.
So, the initial capacity is 120 liters
Solving (a): r = 5
[tex]s = 120 - 12r[/tex]
[tex]s = 120 - 12 * 5[/tex]
[tex]s = 120 - 60[/tex]
[tex]s = 60[/tex]
60 miles traveled
Solving (b): s = 36
[tex]s = 120 - 12r[/tex]
[tex]36 = 120 - 2r[/tex]
Collect like terms
[tex]2r =120 -36[/tex]
[tex]2r =84[/tex]
Solve for r
[tex]r = 42[/tex]
42 gallons used
PLEASE PLEASE HELP ME
Use a graph to make a conjecture about the coordinates of the intersection point of the lines y = - 7/9x + 3 and y = 1/3x - 2
Answer:
(4.5, -0.5)
Step-by-step explanation:
dude just use desmos its so much easier :)
Answer:
Not Perpendicular
Step-by-step explanation:
In a servey of 80 people ,it was found that 60 liked oranges only and 10 liked both oranges and apples.The nuber of people who liked oranges is five times the number of people who liked apples.By using a venn diagram ,find the number of people who liked apples only and who didn't like any of thses fruits.
Answer:
10 people didn't answer the servey
Step-by-step explanation:
servey=80 people
70= answered the servey
so we should take the difference:-
80–70= 10
Hope I got the right answer!
the radius of circle A is 12units. the radius of circle B is 2 times the radius of circle A
what is the circumference of circle B? leave your awnser in terms of pi
Answer:
The answer is 48pi
Step-by-step explanation:
Circumference: C=2*pi*radius
The radius of Circle B is 2*12=24
Thus, the circumference of Circle B is: 2*pi*24=48pi
Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2
Given:
[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
[tex]a_n=a_{n-1}+d[/tex]
Where, d is the common difference.
We have,
[tex]a_n=a_{n-1}+9[/tex]
Here, d=9.
The first term of the AP is [tex]a_1=-4[/tex].
The explicit formula for an AP is:
[tex]a_n=a_1+(n-1)d[/tex]
Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get
[tex]a_n=-4+(n-1)9[/tex]
[tex]a_n=-4+9n-9[/tex]
[tex]a_n=-13+9n[/tex]
Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].
A closet is 2 feet deep, 5 feet wide, and 7 feet tall. What is the volume of the closet in cubic feet, rounded to the nearest hundredth? *
Answer:
Hi how are you doing today Jasmine
How do you get the answer x=2.05, 2.05 from this equation?
x = cos (47) = Pi/3, cos 47 = X/3
Step-by-step explanation:
x = 2.05, 2.05 (2.05)²
What number is obtained by increasing by 36 50%
Answer:
54
Step-by-step explanation:
The given number to be increased = 36
The percentage by which the number is increased = 50%
In increasing a number by a percentage, we find the value of the percentage increase of the number and add to the number as follows;
50% of 36 + 36 = 50/100 × 36 + 36 = 54
Second method
The find the number obtained by increasing a number by a given percentage 'x', we add 100 to the give percentage and multiply the result by the number and hen divide the final result by 100 as follows;
36 increased by 50% = (100 + 50) × 36/100 = 54
GEOMETRY HELP WILL MARK BRAINLIEST!!!
Q1-Research -CMR method and accordingly find total population
Answer:
The population size is relatively small In total population sampling, researchers choose to study the entire population because the size of the population that has the particular set of characteristics that we are interest in is typically very small. Therefore, if you failed to include a small number of units (e.g., people) in your research, a significant piece of the puzzle that you are trying to understand may be missing.
The population shares an uncommon characteristic(s) The characteristic shared by the population is considered to be uncommon because this tends to explain why the population that can be studied is very small. In this example above, the population consisted of people with a rare disease, but there are many types of uncommon characteristic. For example, if you were performing case study research in a single firm of 400 employees, examining the effect of senior manager mentorship on employee motivation, there may only be 5-10 senior managers. In this example, the uncommon characteristic is the fact that the people (i.e., units) of interest are all senior managers. Since the total number of senior managers is very small, it makes sense to include all of them in your research; in other words, it makes sense to create a total population sample.trigonometry please help! work need to be shown please
Given:
A figure of a right angle triangle.
To find:
The value of x to the nearest hundredth.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]
In the given triangle,
[tex]\tan 62^\circ=\dfrac{x}{35}[/tex]
[tex]1.8807=\dfrac{x}{35}[/tex]
[tex]1.88073\times 35=x[/tex]
[tex]65.82555=x[/tex]
Approx the value to the nearest hundredth (two decimal place).
[tex]x\approx 65.83[/tex]
Therefore, the value of x is 65.83 units.
hellllllp how do you do this?
6a-4b when a=5 and b=3
Answer:
18
Step-by-step explanation:
Answer:
Use substitution to receive: 18
Step-by-step explanation:
6a - 4b when a = 5 and b = 3
6(5) - 4(3)
30 - 12 = 18
The average mother's, father's, and son's age is 28 years. The average mother's and son's age is 23 years. The average father's and son's age is 25 years. What is the son's age?
Answer: son is 12 years old
Step-by-step explanation:
Let m be the age of mother, f be the age of father, and s be the age of son.
m + f + s = 28 x 3 = 84
m + son = 23 x 2 = 46
f + s = 25 x 2 = 50
m = 46 - s
f = 50 - s
we plug in m and f to the functions.
we get 46 - s + 50 - s + s = 84
96 - s = 84
-s = -12
s = 12 years old
2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain what you can earn if you invest with him. Does this graph represent simple or compound interest? How can you tell? What is the interest rate? Write an equation to represent how much money you would have as time passes. Let x represent time in years.
Answer:
replace x with number then multiply or divide
Step-by-step explanation:
hii please help i’ll give brainliest!!
Answer:
10 Newtons to the left
Step-by-step explanation:
The overpowering force is the pull that is 30 Newton's left. We subtract this from the smaller force of 20!
[tex]30N-20N=10N[/tex]
Have a Happy April Fool's XD
Can I get help again w Khan Academy:(
Answer:
49
Step-by-step explanation:
x=180-131=49
how to write an essay about citisenship
Essay Definition of Citizenship:
In the literal sense a person who lives in a city is said to be a citizen. But in political science we use this terminal different sense. To find the real meaning of the term we are to go back to ancient Greece. Aristotle, the father of political science, called a person a citizen who would take a direct and active part in the administration of the state.
Since the states in ancient Greece were as small as the cities of Greece it was possible for the residents of the city-state to make law, to adjudicate and even enforce the law. These citizens did not include the slaves, women and manual workers. In such a case the number of the citizens was just half of the entire population. The position was not very different in the medieval Europe. There were serfs in the place of the slaves.
The position is quite different in modern nation-states, where all adult people are citizens who need not take an active part in the administration of the country, because it is not possible for the entire population of a vast country to meet together and make law and interpret it or enforce it.
What is the length of the line segment that has endpoints at (-5,7) and (7,2)
A 13
B 10.9
C 5.4
D 15
Answer:
A
Step-by-step explanation:
sqrt of (x_2 - x_1)^2 + (y_2 - y_1)^2
sqrt of (7 - -5)^2 + (2 - 7)^2
sqrt of (12)^2 + (-5)^2
sqrt of (144 + 25)
sqrt of (169)
13
any luck with this answer ??
Answer:
Step-by-step explanation:
A line can be expressed as
y=mx+b, where m=slope and b=y intercept
We are given m=6 and b=-5 so we can just use them in the equation.
y=6x-5
So C is the correct answer.
On the local swim team, 6 members each swam 1,685 meters during the season. How many total kilometers did the 6 members swim during the season?
10.08 km
10.11 km
100.8 km
101.1 km
Answer: B, 10.11km
Step-by-step explanation:
If All 6 members swam 1685 meters... you would have 10110 meters in total...
since 1000 meters is one kilometer.., it would be b... 10.11km
Exam scores in a large class are normally distributed with a mean of 60
and standard deviation of 10. The teacher decides to boost the scores by
multiplying everyone's score by 1.2
The model for the new scores will be:
Answer:
our mama
Step-by-step explanation:
Which phrases can be used to represent the inequality? Check all that apply. One-half + k greater-than 18
Answer:
Here we don't have the options, so i will answer in a general way.
Every sentence that has the general structure like:
"something is greater than something"
"something is smaller than something"
"Something is no greater than something"
"something is no smaller than something"
There are a lot of other sentences, for example the ones like:
"N is at least equal to M" written as: N ≥ M
"N is at most equal to M" written as: N ≤ M
And there may be other ways to represent inequalities in sentences, but this is the most general way
Then the given sentence:
"One-half + k greater than 18"
This is written as:
1/2 + k > 18
Which is an inequality.
Answer:
ABD
Step-by-step explanation:
took one for the team
PLEASE HELP URGENTLY! ASAP RIGHT ANSWERS WILL BE MARKED BRAINLIEST!!!
Answer:
Step-by-step explanation:
the formula for the circumference of a circle is 2rπ
the formula for the area of a circle is (r^2)π
the formula for the diameter of a circle is 2r
π=3.14
---------------------------------------------------------------
1. diameter =2r. since diameter=24, r=12
2. circumference=2rπ. since circumference = 314. 314=2rπ r=49.9746
3. circumference=2rπ area=(r^2)π
since r=7, circumference=14π=43.98229 since r=7, area is 49π=153.9380
4. Since the diameter is 20 the radius is 10. so just insert it into the formulas as before: circumference=20π=62.8318 and area=100π=314.15926
5. the formula for the diameter is 2r=d 2(18)=d, 36=d
6. 2rπ=circumference = 2(5)π=10π=31.415926
Hope that helps :)
Is 3\11 and 17/6 proportional
Answer:
no
Step-by-step explanation:
The given ratios 3/11 and 17/6 are not proportional.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The given ratios are 3/11 and 17/6.
In order to check the proportionality cross multiplication is done as follows,
3/11 and 17/6
Cross multiply the numerators and denominators as follows,
3 × 6 and 17 × 11
=> 18 and 187
Since the cross multiplication of the numerators and denominators are not equal, the given ratios are not proportional.
Hence, the given ratios are not proportional.
To know more about ratio and proportion click on,
brainly.com/question/14279414
#SPJ5
What is the value of y in the equation below?
4y + 8 = 6y + 2
3/5
1
3
5
Answer:
y=3
Step-by-step explanation:
good luck
please help me do not put random answers
Answer:
1) 5x = 25
x = 5
2) y/4 = 7
y = 28
3) n/2 = 19
n = 38
4) 6g = 54
g = 9
5) 8b = 64
b = 8
6) h/6 = 11
h = 66
7) f/4 = 9
f = 36
8) 7s = 49
s = 7
the product of 700 and 4000 expressed in scientific notation is
Answer:
caca
Step-by-step explanation:
caca
Marvin braude chocolate and vanilla cakes to school for his birthday 16 students vanilla cake and 64 students pick the chocolate cake what percentage of students picked a vanilla cake
Answer:
20% of students picked the vanilla cake.
Step-by-step explanation:
Total number of students: 16 + 64 = 80
Proportion that chose vanilla cake: 16/80 (simplify by dividing by 16) = 1/5 = 0.2 * 100 = 20%