The number of weeks it will take both Sam and Marshall to have the same amount of savings in their accounts is 48 weeks
Given:
Amount with Sam = $2,500
Additional savings each week = $40
Amount with Marshal = $7,300
Amount spent each week = $60
let
x = number of weeks
Sam equation:
2500 + 40x
Marshall's equation:
7300 - 60x
Equate both
2500 + 40x = 7300 - 60x
collect like terms
2500 - 7300 = - 60x - 40x
-4800 = -100x
divide both sides by - 100
x = -4800 / -100
x = 48 weeks
Therefore, the number of weeks it will take both Sam and Marshall to have the same amount of savings in their accounts is 48 weeks
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https://brainly.com/question/8957185
Write an equation of the line that passes through the given points.
(-1,4) and (4, -1)
The equation is . (Type your answer in slope-intercept form.)
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{run}{\underset{x_2}{4}-\underset{x_1}{(-1)}}}\implies \cfrac{-5}{4+1}\implies \cfrac{-5}{5}\implies -1[/tex]
[tex]\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-1)}]\\\\\\y-4=-1(x+1)\implies y-4=-x-1\implies \blacktriangleright y = -x+3 \blacktriangleleft[/tex]
What expressions cannot be factored?
Answer:
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial .
Step-by-step explanation:
How do I show my work for solving the radius of a circle if the area is 78.5 cm^2
(I already know the answer is 5 cm)
9514 1404 393
Answer:
radius = 5 cm
Step-by-step explanation:
The point of "show your work" is to have to do exactly that. If you know the answer to the problem, you are being requested to show how you got it. If you got it by using a web calculator, then show your input and its result.
__
If you worked the problem yourself, you probably did it by filling in numbers in the equation for the area of a circle:
A = πr²
78.5 = 3.14×r²
Dividing both sides by 3.14 gives the square of the radius:
78.4/3.14 = r² = 25
Taking the positive square root gives the radius:
r = √25 = 5
The area is in square centimeters, so the radius is in centimeters:
radius = 5 cm
given f ( x ) = x 3 − 6 x 2 − 11 x + 6 f(x)=x3−6x2−11x+6 find f(2)
Answer:
Step-by-step explanation:
f
(
x
)
=
x
3
−
6
x
2
+
11
x
−
6
Reemplace
f
(
x
)
con
y
.
y
=
x
3
−
6
x
2
+
11
x
−
6
Para hallar las raíces de la ecuación, remplazar
y
por
0
y resolver.
0
=
x
3
−
6
x
2
+
11
x
−
6
Reescriba la ecuación como
x
3
−
6
x
2
+
11
x
−
6
=
0
.
x
3
−
6
x
2
+
11
x
−
6
=
0
Factorizar el lado izquierdo de la ecuación.
Toca para ver más pasos...
(
x
−
3
)
(
x
−
2
)
(
x
−
1
)
=
0
Establezca la
x
−
3
igual a
0
y resuelva para
x
.
Toca para ver más pasos...
x
=
3
Establezca la
x
−
2
igual a
0
y resuelva para
x
.
Toca para ver más pasos...
x
=
2Reemplace
f
(
x
)
con
y
.
y
=
x
3
−
6
x
2
+
11
x
−
6
Para hallar las raíces de la ecuación, remplazar
y
por
0
y resolver.
0
=
x
3
−
6
x
2
+
11
x
−
6
Reescriba la ecuación como
x
3
−
6
x
2
+
11
x
−
6
=
0
.
x
3
−
6
x
2
+
11
x
−
6
=
0
Factorizar el lado izquierdo de la ecuación.
Toca para ver más pasos...
(
x
−
3
)
(
x
−
2
)
(
x
−
1
)
=
0
Establezca la
x
−
3
igual a
0
y resuelva para
x
.
Toca para ver más pasos...
x
=
3
Establezca la
x
−
2
igual a
0
y resuelva para
x
.
Toca para ver más pasos...
x
=
2
Write the following expression as a constant, a single trigonometric function, or a power of a trigonometric function.
sec x cos x
Answer:
1.
Step-by-step explanation:
sec x cos x
= 1/cos x * cos x
= cos x / cos x
= 1.
pls help i need it done in 40 mins
Plz help Ive hurt my brain trying to do this lol.will mark brainliest.
Answer: Graph A & B
Step-by-step explanation:
Both A & B have x values that stretch from 1-6. The others are different
Jeri received thirty more votes than Max. Lee
received forty-five fewer votes than Max.
(a) Define variable expressions for the votes received
by Jeri, Max, and Lee.
Answer:
J = M + 30
M = L - 45
L = M + 45
Step-by-step explanation:
Dan has three dogs. He feeds them these amounts of food each day. 1 1/2 cups, 2 1/3 cups, and 3 1/2 cups. Ben has two dogs. He feed them 3 1/4 cups and 4 1/2 cups of dog food per day. Who uses more dog food? How much more?
Answer:
ben
5/12
Step-by-step explanation:
1 1/2+2 1/3+3 1/4 = 22/3 -dan
3 1/4+4 1/2 = 31/4 -ben
ben - dan
31/4-22/3
=5/12
At a real estate agency, an agent sold a house for $369,000. The commission rate is 4.5% for the
real estate agency and the commission rate for the agent is 25% of the amount the real estate
agency gets. How much did the agency make on the house? How much did the agent earn in
commission?
$29,700 on the hours, and $79,200 in commission.
I hope i helped! :)
Morwenna rents a truck she pays $20 plus .50 per mile. Let t represent the relationship between the factor. Write an equation that represent the situation.!!!!!
Answer:
50x+20=ur mom
Step-by-step explanation:
Answer:
t = 20 + .50m
m = number of miles travelled
t = total cost
Step-by-step explanation:
t represents the total cost and m represents the number of miles travelled. Since it costs .50 per mile, you would do .50m so that you could calculate the cost based on the number of miles and since the truck at first cost 20 dollars, you would add that to the equation to. This gives you t = 20 + .50m.
Explain how to compare decimals. Use the numbers 6.75 and 6.732 to
help you explain this process.
Answer:
6.75>6.732
Step-by-step explanation:
We are given that
6.75 and 6.732
We have to compare two given decimal numbers.
First we convert like decimal number
In 6.75 there are two digits after decimal point.
In 6.732 , there are three digits after decimal point
Therefore, we put zero in 6.75 to convert like decimal number
Now, we get
6.750
Unit place of both decimal numbers are same and tenth place of both decimal number are same.
Now, hundredth place of 6.750 is 5 and hundredth place of 6.732 is 3
5 >3
Therefore, 6.750 is greater than 6.732
6.75>6.732
hrome
e: Stella Hamilton
Ratio Practice 11/8
Name:
Solve Each Problem
1) At summer camp the ratio of boys to girls was 8: 5. If there were 32 boys, how many girls were
there?
21. Determine if the values in the table are
Answer:
20 girls.
Step-by-step explanation:
If 32 divided by 8 is 4, then 4x8= 32.
We use this equation to find out how many girls there are. 5x4 equals 20, so there are 20 girls at summer camp.
3. There were 155 people at the basketball game. Tickets for the
game are $2.50 for students and $4 for adults. If the total money
received for admission was $492.50, how many students and adults
attended the game?
Answer:
85 students and 70 adults attended the game.
How many students and adults attended the game?
Step-by-step explanation:
Problema Solution
There were 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game?
Answer provided by our tutors
let
s = the number of student tickets sold
a = the number of adult tickets sold
there were 155 people at the basketball game
s + a = 155
the total money received for admission was $492.50
2.50s + 4a = 492.50
by solving the system of equations
s + a = 155
2.50s + 4a = 492.50
we find
s = 85 students
a = 70 adults
Find the value of the constant term in the expansion of x^4 (x+3/2x^2)^5
5 is the answer ok I'll explain
HELP 7= -10s-3 solve for s!
7= -10s-3
7+3 = -10s
10 = -10s
-10s = 10
s = 10/-10
s = -1
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!
Add.
18512+81017+23712+28717
Answer: Here you go buddy, the answer is 151958.
Happy to help!
Step-by-step explanation:
Answer:
18512 + 81017 + 23712 + 28717 = 151958
Step-by-step explanation:
I used a calculator to help
Complete the chart!! :)
Answer:
1 foot is 12 inches so 6 feet would be 72 inches
Step-by-step explanation:
12x6=72
A plant measures 10 cm and increases in height by .02 percent each day, upon conclusion it measures 11.04 cm. What is a reasonable domain to plot the growth function?
Answer:
the correct answer should be: the rate of change is 1 cm per 2 weeks, or 1/2.
Step-by-step explanation:
I found a graph with the same problem, so I guess this is the graph to be based on. To find the rate, just determine the slope between any two points along the line. Suppose these points are: (30,10) and (50,20).
Slope = (20 - 10)/(50 - 30) = 1/2
1/7 to the 2nd power
find the coordinates of the point 7/10 of the way from A to B
A=(-4,-7)
B=(12,5)p
Answer:
a=(-3,-6) and b=(12,4)
from -3 to 12 is 15 units
7/10 * 15=10.5
add 10.5 to -3 to get 7.5 for the x-coordinate
from -6 to 4 is 10 units
7/10 * 10=7
add 7 to -6 to get 1 for the y-coordinate
the point 7/10 of the way from a to b is (7.5,1) ANSWER
graph these points to check your answer (the point (7.5,1) is on the line segment AB))
also, the distance from a to b is 18.0277
7/10 of this is 12.62
the distance from (-3,-6) to (7.5,1) is also 12.62
Step-by-step explanation:
What are the like terms in this equation?
8n+5b-2n+16=50
Answer:
8n and -2n
Step-by-step explanation:
Which sign makes this number sentence true?
|866| __ |-866|
A. >
B. <
C. =
D. +
i've tried a it didn't work please help
Answer:
its D
Step-by-step explanation:
Given the zeros of the function f (x) = x4 + 3x3 – 28x², identify whether the zero is a bounce or
cross.
PLEASE HELP I'LL GIVE BRAINLIEST!!!! AND I'M GIVING 100 POINTS!!!
When Max was a puppy, he weighed 5 1/2 pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.
How much weight did Max gain between the time he was a puppy and his 1-year check-up?
Enter your answer as a decimal or simplified mixed number in the box.
Answer:
10.3 pounds
Step-by-step explanation:
Answer:
10.3 pounds
Step-by-step explanation:
15.8-5 1/2 is 10.3
i inserted a picture of the question
by using the completing the square method pls with the full procedure by solving it
Answer:
[tex]1.10 {x}^{2} - 13x - 3 = 0 \\ product \: = 10 \times - 3 \\ = - 30 \\ sum \: = 13 \\ factors \: = ( - 15 \: \: 2) \\ 10 {x}^{2} - 15x + 2x - 3 = 0 \\ 5x(2x - 3) + 1(2x - 3) = 0 \\ (5x + 1)(2x - 3) = 0 \\ either \: 5x + 1 = 0 \\ 5x = - 1 \\ x = - \frac{1}{5} \\ or \: 2x - 3 = 0 \\ 2x = 3 \\ x = \frac{3}{2} \\ x = 1.5 \\ 2. {x}^{2} - 2x + 1 = 0 \\ product \: = 1 \\ sum \: = - 2 \\ factors \: ( - 1 \: - 1) \\ {x}^{2} - x - x + 1 = 0 \\ x(x - 1) - 1(x - 1) = 0 \\ (x - 1)(x - 1) = 0[/tex]
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE A GREAT DAY.
Question Help
Writing lan's car can go 245 miles on 7 gallons of gas. During a drive last weekend, lan used
4 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you
were given the distance lan drove last weekend instead of how much gas he used.
He drove _miles.
First to type something random in the answer box gets 100 points!
Answer: am not the first but ty :D
Step-by-step explanation: I appreciated it!
What is the distance between points A(2, 9) and B(−2, 6)?
Answer: 5
Step-by-step explanation:
