Answer:
In these types of algebra problems where we are given numbers that are "unknown" and asked to find them, it is a good idea to give them names.
Let the larger number be X.
Let the smaller number be Y.
If the larger number is three times the smaller number, we can use this information to write an equation, using our labels for the two unknown numbers. See how I translate this sentence into an equation:
The larger number is three times the smaller number.
X = 3 * Y
X = 3*Y
We've got one equation down. Since we have two variables, we're going to need two equations to solve for both of them.
The sum of two numbers is twenty-four.
X + Y = 24
X+Y = 24
But, from our previous equation, we know that X is the same as 3*Y. This allows us to substitute "X" with "3*Y" in our second equation since the two are equal according to the first equation.
(3*Y) + Y = 24.
3Y + Y = 24
4Y = 24
4Y / 4 = 24/4
Y = 6
Now we've got the value of the smaller number. Let's plug it into our first equation,
X = 3*Y.
X = 3*(6)
X = 18
We can check our work by plugging both values into both equations and seeing if they work out:
6+18 = 24
6*3 = 18
So our bigger number is 18, and our smaller number is 6.
Hope it helps!
what is one and nine thousandths. in standard form
Answer:
1 9/1000
Step-by-step explanation:
Answer:
1.009
Step-by-step explanation:
please help i will give brainliest
There are 7 girls and 13 boys in a class at a Private
School. Of these students, 5 girls and 3 boys are in
the Running Club. What percentage of the students
at this Private School are in the Running Club?
Answer:
40%
Step-by-step explanation:
the total amount of students are 20
the people in running club are 8
8/20 = .40
.40 as a % is 40%
Answer:
40%
Step-by-step explanation:
Harvard University accepts 6 students for every 100 applicants. How many students will be accepted if 850 applicants apply for admission?Immersive Reader (1 Point)
Answer:
51 students will be accepted if 850 applicants apply for admission.
Step-by-step explanation:
With the information provided, you can use a rule of three to find the amount of students that will be accepted if 850 applicants apply for admission given that you know that Harvard University accepts 6 students for every 100 applicants:
100 → 6
850 → x
x=(850*6)/100= 51
According to this, the answer is that 51 students will be accepted if 850 applicants apply for admission.
answer the question for n
Answer:
el pepe
Step-by-step explanation:
I need help with the question below
Answer:
27
Step-by-step explanation:
Can someone help Eri? ^w^" circumference --- 25 points
Answer: same thing for me
Step-by-step explanation:
Answer these correctly for me please...
troll and get reported
Answer:
on the left: y = -4x - 2 and y = 1/3x - 2
on the right: 3s + 1c = 3 and 3s + 2c = 52
Find the value of h(-67) for the function below.
h(x) = -49x − 125
A. 3,283
B. 3,158
C. -3,408
D. -1.18
Answer:
B. 3158Step-by-step explanation:
Given function:
h(x) = -49x − 125Finding h(-67)
h(-67) = -49(-67) - 125 = 3283 - 125 = 3158Correct option is B.
Concepts:
FunctionsAnswer: B. 3158
We know:
h(x) = -49x − 125
Finding h(-67)
h(-67) = -49(-67) - 125 = 3283 - 125 = 3158
ANSWER = 3158/B
The number of responses to a survey are shown in the Pareto chart. The survey asked 1052 adults how they would grade the quality of their public schools. Each person gave one response,
Find each probability
(a) Randomly selecting a person from the sample who did not give the public schools an A
(1) Randomly selecting a person from the sample who gave the public schools a grade better than a D
(c) Randomly selecting a person from the sample who gave the public schools a Dor an F
(d) Randomly selecting a person from the sample who gave the public schools an A or B
(a) The probability that a randomly selected person did not give the public schools an Als
(Round to three decimal places as needed)
Answer: (a) P(no A) = 0.935
(b) P(A and B and C) = 0.0005
(c) P(D or F) = 0.379
(d) P(A or B) = 0.31
Step-by-step explanation: Pareto Chart demonstrates a relationship between two quantities, in a way that a relative change in one results in a change in the other.
The Pareto chart below shows the number of people and which category they qualified each public school.
(a) The probability of a person not giving an A is the difference between total probability (1) and probability of giving an A:
P(no A) = [tex]1-\frac{68}{1052}[/tex]
P(no A) = 1 - 0.065
P(no A) = 0.935
b) Probability of a grade better than D, is the product of the probabilities of an A, an B and an C:
P(A and B and C) = [tex](\frac{68}{1052})(\frac{258}{1052})(\frac{327}{1052})[/tex]
P(A and B and C) = [tex]\frac{5736888}{1164252608}[/tex]
P(A and B and C) = 0.0005
c) Probability of an D or an F is the sum of probabilities of an D and of an F:
P(D or F) = [tex]\frac{269}{1052} +\frac{130}{1052}[/tex]
P(D or F) = [tex]\frac{399}{1052}[/tex]
P(D or F) = 0.379
d) Probability of an A or B is also the sum of probabilities of an A and of an B:
P(A or B) = [tex]\frac{68}{1052} +\frac{258}{1052}[/tex]
P(A or B) = [tex]\frac{326}{1052}[/tex]
P(A or B) = 0.31
I Need help for this question is kinda confusing
Answer:
6
Step-by-step explanation:
Coefficient term are the numbers that multiply the variables or letters.
In the given expression:
13a means 13 times a , and a is the variable,
so 13 is the coefficient .
6b means 6 times b , and b is the variable ,
so 6 is the coeffi.
Answer:
13
Step-by-step explanation:
Someone can help???
A ladder is leaning against a house. The distance to the house's edge from the bottom step is 3 ft. and the distance from the edge to the top step is 4 ft. What is the slant of the ladder?
Answer:
The slant of the ladder is 5 ft
Step-by-step explanation:
Look at the attached figure to understand this situation
∵ a represents the distance from the edge to the top step
∵ The distance from the edge to the top step is 4 ft
∴ a = 4 ft
∵ b represents the distance to the house's edge from the bottom step
∵ The distance to the house's edge from the bottom step is 3 ft
∴ b = 3 ft
∵ c represents the slant of the ladder
∴ We need to find c
→ By using the Pythagoras Theorem
∵ c = [tex]\sqrt{a^{2}+b^{2}}[/tex]
∴ c = [tex]\sqrt{(4)^{2}+(3)^{2}}=\sqrt{16+9}=\sqrt{25}[/tex]
∵ [tex]\sqrt{25}[/tex] = 5
∴ c = 5 ft
∴ The slant of the ladder is 5 ft
A scale drawing of a mural uses the scale 2 centimeters (cm):10 meters (m). Another scale drawing of the same mural uses the scale 2 cm:4 m. In the first scale drawing, the mural is 7 cm long. What is the length of the mural in the second scale drawing?
Answer:
The answer that you are going to get is 23.56
Step-by-step explanation:
You solve that by multiplying all the numbers and then you divide by 2.
how can i solve this?
Answer:
About $804.70
Step-by-step explanation:
So, for this you will need the formula: "A = B(1 + r)^t" It is + 1 since it is an increase.
B = Initial Value
r = rate
t = time
A = B(1 + r)^t
A = 523(1 + 0.09)^5
A = 523(1.09)^5
A = 523(1.5386239549)
A = 804.700328413
A ≈ 804.70
An angle measures 54.4 less than the measure of it's complementary angle
Answer:
4th of August is the murderer of our
Step-by-step explanation:
6th 5th of the books is the murderer murderer
I will give brainliest just help please come on:)
Answer:
have watch a video yet if you have not it will help you on it
Step-by-step explanation:
Can somebody help mee plzzzzzzzz
Answer:
lines a and b are parallel. The slopes are -1/3
None of the lines are perpendicular to each other.
Step-by-step explanation:
To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:
line a: This line goes down one every time it goes over 3, which can be represented by -1/3
line b: This lines goes down one every time it goes over 3, which can also be written as -1/3
line c: This line goes up 5 every time it goes over 2, which makes the slope 5/2
When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.
When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.
Hope this helps :)
determine if the sequence is arithmetic. if it is find the common difference. -34,-64,-94,-124
Generally speaking, arithmetic sequences have the form:
an=a1+(n-1)*d
Where:
an=the nth term in the sequence
a1=the 1st term in the sequence
n=the number of terms in the sequence
d=the difference between consecutive terms (i.e. d=an-an-1=a2-a1=a3-a2, etc.)
The SUM of the terms of an arithmetic sequence, notated Sn, is given by:
Sn=[n/2]*[2a1+(n-1)*d]
So if n=8 then:
a8=a1+7d=63
And if there are 94 terms in the sequence then:
S94=[94/2]*[2a1+93d]=47*(2a1+93d)=94a1+4371d=1000
So this is a system of equations where:
{ a1 + 7d = 63 (Multiply this first equation by -94 on both sides and add to second equation)
{ 94a1 + 4371d = 1000
-94a1 - 658d = -5922 (Add this new equation to second equation)
Therefore:
3713d = -4922
So:
d = -4922/3713
Answer: arithmetic / -30
Step-by-step explanation: This is an arithmetic sequence.
The reason I know that is because the same number is being
added each time to get the next term in the sequence.
In this case, we are adding -30 each time to reach the next term.
So the common difference is -30.
Are they parallel? Please answer like the one on the top, I’m trying to get my geography hw in Bc it’s missing
Answer:yes they are
Step-by-step explanation:
1+(2)(3)(4)=
HELP ME PLEASE
Answer:
25
Step-by-step explanation:
1+(2)(3)(4)
=1+(6)(4)
=1+24
=25
Hope this helps!
Answer: The answer would be 25
Step-by-step explanation: So the first thing you do, is multiply each number in parentheses first. So 2 mulitplied by 3 is 6. Then multiply 6 by 4 to get 25. Then add 1 to 24, to get 25. Hoped this helped
Vinnie Testerverte is standing on the 40 yard line of the Washington Redskins when he throws a pass towards his end zone. The
equation that represents the path of the ball is y = -0.0975x2 + 3.9x + 6 where x represents the number of yards from 40 yard line and y
represents the number of feet the ball is above the ground.
1. How high is the ball when it crosses the
a) 30 yd line?
b) 15 yd line?
C) 5 yd line?
Answer:
a.35.25
b. 42.56
c.23.06
Step-by-step explantion
Just subsitute 30, 15, and 5 for x each time for each question
ex:
y=-0.0975(5)^(2)+3.9(5)+6
what is 690 multiplied by 1/4?
Answer: Your answer would be 172 1/2
Step-by-step explanation: Hoped this helped you!!!
Are 3/2 and 7/4 proportional ratios?
Answer:
No
Step-by-step explanation:
3/2 = 1 1/2 = 1.50
7/4 = 1 3/4 = 1.75
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
What is the value of x in the figure?
need a correct answer please
Answer:
$239.02 and $10177
Step-by-step explanation:
Ann:
2868.32/6= 478.05
478.05/2= 239.02
Ann's sister:
3562.28/7= 508.89
508.89/5= 101.77
dont know if i did this right to be completely honest. but i feel like it's right. sorry if it's not.
Find the slope between these two points: (2,-1) and (10,-13)
Answer:
-3/2
Step-by-step explanation:
Answer:
-3/2
Step-by-step explanation:
(y2-y1) / (x2-x1)
(-13-(-1)) / (10-2)
=-12/8
simplify
= -3/2
There are 20 students in a drama class. The mean age of 12 students is 18 years. The mean age of the remaining 8 students of the drama class is 23 years. What is the mean age of all the students in the drama class?
Answer:
Step-by-step explanation:
Total sum of age of 12 students = 12*18 = 216;
Total sum of age of 8 students = 8*23 = 184;
Total sum of age of 20 students = 216+184 = 400;
Mean age of all the students = total age / number of students;
= 400/20 = 20 year
Step-by-step explanation:
Rewrite the fraction as a decimal. 19/50
Answer:
0.38
Step-by-step explanation:
0.38 is a decimal and 38/100 or 38% is the percentage for 19/50.
Factor each of the following expressions into two binomials.
1.x^2-10x+24
2.x^2-12x+27
3.x^2-13x+36
4.x^2-5x-14
5.x^2+x-20
6.x^2-3x-40
7.x^2+2x-48
8.x^2+10x-24
9.x^2-7x-44
10.x^2+x-2
11.x^2+2x+1
12.x^2-x-6
How is the concavity of the parabola related to the orientation of the parabola?
Answer:
When it yields a negative constant, the original function is everywhere concave down. In other words, when the second derivative of the equation of our parabola is positive, the parabola opens upward; when it is negative the parabola opens downward. Example 2: If y = -2(x-1)² + 3, determine the parabola's orientation.
Step-by-step explanation:
I hope this helps and can you give me a Brainliest plz plz plz.