Answer this answer correctly and you'll get 100 points + brainiest:
Marcellus is making a deposit that will leave him with a balance of $381. He noticed that if he added $54 to the amount he started with in his account and then tripled the sum, he would get the new amount. How much did Marcellus originally have in his account?
Part A: Which equation represents the situation?
A. 3m + 54 = 381, where m represents the amount originally in his account
B. 3(m + 54) = 381, where m represents the amount originally in his account
C. 3m − 54 = 381, where m represents the amount originally in his account
D.3(m − 54) = 381, where m represents the amount originally in his account
Part B: Complete the statement to represent the solution of the equation in context.
Marcellus originally had $___________ in his account.
Answer:
B
Step-by-step explanation:
Part A:
3(m+54) = 381 shows that 54 is being added to m, the initial sum. Then it shows the sum of 54 + m being multiplied by 3 to get to the new balance of $381. This equation most accurately matches with the question.
Part B:
3(m-54) = 381.
You would first divide both sides by 3.
m - 54 = 127
You would now add 54 to both sides.
You now know m = 181.
A researcher studying koi fish collected data on three variables, A, B, and C. The following residual plots show the residual for a model for predicting each variable from the age of the fish.
A conclusion that a linear model between the variable and age is appropriate is supported by which plot or plots?
1.)A Only
2.)B Only
3.)C Only
4.)A and C only
5.)B and C only
Answer: A Only
Step-by-step explanation:
To determine that a linear model is appropriate, the residual plot should be randomly dispersed.
Answer:
1
Step-by-step explanation:
Daniel earns a commission of 3% on every home he sells. Recently, Daniel
sold a home for $180,000. What was Daniel's commission?
Answer:
The answer in 180000 * 3 ÷ 100 = 5400$
Tony is spending money at a constant rate. Suppose he initially has $1000, and after 4 months, he has $760,
Which of these expresses the rate at which Tony's amount of money is changing?
Answer:
$60 monthlyStep-by-step explanation:
Step one:
The initial amount that Tony has= $1000
final amount =$760
amount spent= 1000-760= $240
time taken is 4 months
Step two:
Required:
the rate of spending
we know that rate= quantity/time
rate= 240/4
rate= $60 per month
Hence Tony's amount is changing at $60 monthly
Answer: -60
Step-by-step explanation:
I'm doing system of equations and I have to solve using substitution
the equations are y=5x and xy=45
Answer: +3, -3
Step-by-step explanation:
ok so all you need to do is plug in that first equation into the second one.
x(5x) = 45
5x^2 = 45
x^2 = 9
x = +3, -3
Please hurry. Please
Answer:
yes
Step-by-step explanation:
12p<=56
12*3<=56
36<=56
Correct.
Hope this helps :D
In the expression (44 - 4) ÷ 2 + 10, which operation should we start with?
Answer: the parenthesis: (44-4)
Step-by-step explanation: In order of operations parenthesis are always first. Then exponents, then multiplication and division, and then addition and subtraction. (PEMDAS)
How would you graph the solution to 3x ≤ -15?
Draw an open circle on -5 and shade to the left.
Draw an open circle on -5 and shade to the right.
Draw a closed circle on -5 and shade to the left.
Draw a closed circle on -5 and shade to the right.
Answer: C) Closed circle at -5; shading to the left
The given inequality [tex]3x \le -15[/tex] solves to [tex]x \le -5[/tex] when we divide both sides by 3. The inequality sign does not change because we didn't divide both sides by a negative number.
The graph has a closed circle at -5 to include this value as part of the solution set. Shading is to the left to indicate values smaller than -5. Overall, the graph says "x can be -5 or smaller". If you wanted to exclude -5, you would say [tex]x < -5[/tex] and use an open circle; but that's not the case here.
Answer:
C) Closed circle at -5; shading to the left
Step-by-step explanation:
A weighted coin has a 0.599 probability of landing on heads. What is the probability that it takes 5 flips for the first head to occur?
Answer:
0.411^5 times 0.599
Step-by-step explanation:
0.599 chance of landing on heads.
0.411 chance of not landing on heads.
0.411 times 0.411 times 0.411 times 0.411 times 0.411 (for the 5 flips that do not land on heads) times 0.599 (for the time that it does land on heads).
help pls
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
Answer:
Step-by-step explanation:
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Required:
Develop a confidence interval estimate of the population mean rating for Miami.
Answer: 6.8622 ; 8.1778
Step-by-step explanation:
Given the data:
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Assume a confidence interval of 95%
Using calculator :
The mean of the distribution (m) = 7.52
Standard deviation (s) = 2.314
Sample size),
Obtaining the t score ;
Degree of freedom (df) = (n-1) = 50 - 1 = 49
t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)
Margin of Error :
2.01 * s/√n = 2.01 * 2.314/7.0710678
Margin of Error (E) = 0.6578
Confidence interval:
(Mean - E) ≤μ≤ (mean + E)
(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)
6.8622 ≤μ≤ 8.1778
Whats the slope and how do i / where do i graph it
Answer:
The slope is 3. graph it every time the line hits an exact point
Step-by-step explanation:
Use absolute value to express the distance between 10 and −4.
Answer:14
Step-by-step explanation: absolute value will always be a positive number. 10 away from 0 is 10. -4 from 0 is still 4. Add them together and you have 14
The science center has 300 people in attendance on Tuesday. This is 150 percent of the attendance on Monday. Natasha is trying to figure out how many people were in attendance on Monday. Her work is shown below.
StartFraction part Over whole EndFraction = StartFraction 150 Over 100 EndFraction
StartFraction 150 times 2 Over 100 times 3 EndFraction = StartFraction 300 Over question mark EndFraction
Since 150 times 2 = 300, then 100 times 3 or 300 people were in attendance on Monday.
What mistake did Natasha make?
Natasha should have multiplied 100 by 2.
Natasha should have divided 150 by 3.
Natasha should have added 150 and 300.
Natasha should have multiplied 300 and 150 percent.
Answer:
Natasha should have multiplied 100 by 2.
Step-by-step explanation:
part/whole = 150/100
(150 * 2)/(100 * 2) = 300/? is correct.
Answer: Natasha should have multiplied 100 by 2.
What is the slope-intercept form of a line that contains the point (0,3) and a slope =-2?
PLZ HELPP MEEE!!
Answer:
C.
Step-by-step explanation:
-2 is in front of x so thats gonna be the slope
and +3 is the y-intercept
You are walking from home to music store. You stop for a rest after 2/3 miles. The music store is actually 3/4 miles from home. How much farther do you have to walk
The number of miles that farther you have to walk will be 1/12 miles.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
You are walking from home to the music store. You stop for a rest after 2/3 miles. The music store is actually 3/4 miles from home.
The number of miles that farther you have to walk will be
⇒ 3/4 - 2/3
⇒ (9 - 8) / 12
⇒ 1/12
The number of miles that farther you have to walk will be 1/12 miles.
More about the Algebra link is given below.
https://brainly.com/question/953809
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(-1, 4) and (0,-1) writing out linear equations giving two points
Answer:
The equation is y = -5x - 1.
Step-by-step explanation:
1. Find the slope using the formula. Slope = (4 + 1) / (-1 - 0) which is equal to 5 / -1 which is -5.
2. Use the slope-point formula to construct an equation. The equation is y - 4 = -5 * (x + 1)
3. Simplify. We would get y = -5x - 5 + 4, which is y = -5x - 1.
Answer: The equation is y = -5x - 1.
4) What are all the subsets of (3, 5, 7)?
ANSWER: 1 is a subset of 3,5,7
Answer:
X=(0,3) (3,0) Y=(0,5)(5,0) Z=(7,0) (0,7)
Step-by-step explanation:
suppose ,3=x ,5=y and 7=z
0 is the common number
Please help!Please help me
Answer:
The answer is Thousandths
Answer:
Thousandths
Hope this helps!
Can you pls give brainly
Which one are functions
Answer:
A
Step-by-step explanation:
PLEASE MARK BRAINLIEST IT WILL HELP SM
Answer:
its hard to see but I think all of them except the first and the last ones r
Step-by-step explanation:
an x can't repeat
6 x +4 + 10x - 9 + 8x - 7=
Answer:
24x - 12
Step-by-step explanation:
6x + 4 + 10x - 9 + 8x - 7
6x + 10x + 8x + 4 - 9 - 7
24x - 12
A quadratic equation is written as a system of two quadratic functions. Select the number of possible ways the graphs can intersect.
Answer:
can I see the opinions and I will come
Step-by-step explanation:
back and edit my question and answer it for you
Answer:
0, 1, 2, infinite
Step-by-step explanation:
I needs help with this question pls
Answer:
Is it A
Step-by-step explanation:
An equilateral triangle and a regular hexagon have the same area. The ratio of the side length of the regular hexagon to the side length of the equilateral triangle can be written as m/√n. What is m+n?
Help me plz!
Answer:
7
Step-by-step explanation:
Let a and b be the sides of the equilateral triangle and the regular hexagon respectively as shown in figures (1) and (2).
The area of the equilateral having side a is
[tex]A_T= \frac {\sqrt3}{2}a^2\cdots(i)[/tex]
Now, join all the 6 corner points of the regular hexagon to the center of the hexagon as shown in figure (3).
As there are 6 equal sides, so angle subtended by each side at the center is 360/6=60 degrees.
Considering the triangle POR:
[tex]\angle POR= 60[/tex] degree [angle at center]
As sides PO=RO, so [tex]\angle OPR = \angle ORP = 60[/tex] degree.
Hence, triangle POR is an equilateral triangle.
Similarly, all the remaining 5 triangles are equilateral triangles.
So, the area of hexagon = 6 x Area of triangle POR
As the length of sides of the triangle POR is b,
so the area of the triangle POR [tex]= \frac {\sqrt3}{2}b^2[/tex].
Hence, the area of the regular hexagon,
[tex]A_H = 6 \times \frac {\sqrt3}{2}b^2\cdots(ii)[/tex]
As the equilateral triangle and a regular hexagon have the same area, so from the equations (i)and (ii), we have
[tex]A_T=A_H\\\\\frac {\sqrt3}{2}a^2=6 \times \frac {\sqrt3}{2}b^2\\\\\Rightarrow a^2=6b^2\\\\\Rightarrow \frac {b^2}{a^2}=\frac 1 6\\\\\Rightarrow \frac {b}{a}=\frac {1}{\sqrt 6}\cdots(iii)[/tex]
Given that the ratio of the side length of the regular hexagon to the side length of the equilateral triangle, b/a= m/√n.
On comparing with the equation (iii), we have
m=1 and n=6
Hence, m+n=1+6=7.
x÷79 + 72 - 18 hellppppp
Answer:
1/5688x-18
I am not sure about my answer because I think the question is missing some information but my answer is 1/5688x-18. Thanks!
5(2y-3)-4y=8-2y-15
Justify each step with a property of algebra. Drag the property to the correct row.
The sum of two numbers is 12.
When three times the first number is added to 5 times the second number, the result is 44.
Find the two numbers.
A 9 and 3
B) 8 and 4
C) 10 and 2
D) 7 and 5
Answer:
b
Step-by-step explanation:
8*3
=24
4*5
=20
20+24
=44
Somebody please help me with this question
Answer:
c is the correct answer
Step-by-step explanation:
Raul Del Valle's gross weekly salary is S615. His weekly federal withholding is S55. The Social Security tax is
6,2% of the first $97.500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay.
Each week he pays $12.40 for medical insurance. How much is deducted from Raul's weekly wages for state tax
and Medicare tax?
Answer:
Step-by-step explanationjiuijkk8
u:
1.5 m =_____ cm
a 15
b 0.015
c 1.5
d 150
Answer:
150
Step-by-step explanation:
Answer:
D.)150
Step-by-step explanation:
Hope I helped