Answer:
a) The Metra will go 90 miles in 6 hours
b) It will take Amtrak 8 hours to travel 160 miles.
Step-by-step explanation:
From the question,
Metra travels 30 miles in 2 hours
a) To determine how far the Metra will go in 6 hours,
Let how far the Metra will go in 6 hours be x
Then,
If Metra goes 30 miles in 2 hours
Then, Metra will go x miles in 6 hours
x = (30 × 6)/2 miles = 90 miles
Hence, the Metra will go 90 miles in 6 hours.
b) To determine how long it will take Amtrak to travel 160 miles,
Let how long it will take Amtrak to travel 160 miles be y
From the question,
Amtrak travels 80 miles in 4 hours
Now,
If Amtrak travels 80 miles in 4 hours
Then, Amtrak will travel 160 miles in y hours
y = (160 × 4)/80 hours = 8 hours
Hence, it will take Amtrak 8 hours to travel 160 miles.
Roger wants to make a deposit into his savings account. He is depositing 2 checks, one for 95.62 and the other for $432.50. He would like to receive $60.00 in cash after the deposit. Calculate the amount that he will be depositing into his savings account.
Answer:
$468.12
Step-by-step explanation:
Given that:
Amount to deposit:
Check 1: = $95.62
Check 2 = $432.50
Amount he'll like to receive or withdraw = $60
Total amount he'll be depositing :
Check 1 + Check 2 - withdrawal
$95.62 + $432.50 - $60
= $468.12
A one-year membership to a gym costs $725. The registration fee is $125, and the remaining amount is paid monthly. Define a variable. Then write and solve an equation to find how much new members pay each month. c = cost per month
Answer:
Step-by-step explanation:
725-125 is 600
y=600c+125
people pay 600 dollars a month
look at photo! he answer i got said it was wrong?
Answer:
I think thats right
Step-by-step explanation:
From what im reading it seems right
Answer: -.75 or -3/4 if you need it in fractions
Step-by-step explanation:
What’s the angle/angles for this figure?
Answer:
1 obtuse 2 acute 3 acute
Step-by-step explanation:
Whitney sells cars at a local dealership. She receives a monthly salary of $904.00 and a $159.00 commission on each car she sells. If Whitney receives her commission check at the end of the month along with her salary check, which of the following equations can be used to determine her total pay for the month?
(Let x represent the number of policies sold and y represent the total amount of pay for the month.)
A.
y = 904x + 159
B.
y = 159x
C.
y = 159x + 904
D.
y = 15.9x + 904
Answer:
The equation can be used to determine her total pay for the month is
y = 159x + 904 ⇒ C
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope ⇒ rate of changeb is the y-intercept ⇒ initial amount∵ Whitney receives a monthly salary of $904.00
→ It is a fixed amount
∴ The initial amount of her salary is $904.00
∴ b = 904
∵ She takes a $159.00 commission on each car she sells
→ That means the commission is changing with the number of cars sold
∴ The commission is the rat of change
∴ m = 159
→ Substitute the values of m, b in the form of the equation above
∴ y = 159x + 904
The equations can be used to determine her total pay for the month is
y = 159x + 904
y + 10x = 3
function form
Answer:
The function for is:
f(x) = 3 - 10x
What is the area of the rectangle? 4.10 unit test analytical geometry
Answer: 74 units^2
Step-by-step explanation: Took the test :)
Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy. Which is the first error that Tomas made? Tomas substituted the 3 for x when he should have substituted 6 for x. Tomas added 6 to both sides of the equation instead of subtracting 6. Tomas should have written the equation as . Tomas substituted 3 for x when he should have substituted 3 for y.
Correct question is;
Tomas is making trail mix using granola and walnuts. he can spend a total of $12 on the ingredients. he buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2x + 6y = 12 to represent the total cost,
Where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.
2x + 6y = 12
2(3) + 6y = 12
6 + 6y + 6 = 12 + 6
6y = 18
y = 3
which is the first error that tomas made?
A) tomas substituted the 3 for x when he should have substituted 6 for x.
B) tomas added 6 to both sides of the equation instead of subtracting 6.
C) tomas should have written the equation as 3x + 6y = 12.
D) tomas substituted 3 for x when he should have substituted 3 for y.
Answer:
Option B: tomas added 6 to both sides of the equation instead of subtracting 6.
Step-by-step explanation:
We are told that; x represents the number of pounds of granola while y represents the number of pounds of walnuts.
Now, we are told that He can spend a total of $12 on the ingredients. Also that he buys 3 pounds of granola that costs $2.00 per pound while the walnuts cost $6 per pound.
Thus;
2x + 6y = 12
He buys 3 pounds of granola. Thus;
2(3) + 6y = 12
6 + 6y = 12
The next step here is to subtract 6 from both sides but Tomas added 6 to both sides instead.
Thus, option B is the correct answer.
Answer:
its b
Step-by-step explanation:
2000-25x >400 I don’t get what to do on that question
Answer:
x < 64
Step-by-step explanation:
Solve for x
2000-25x > 400
-25x > 400-2000
-25x > -1600
25x < 1600
x < 64
What is 70 divisible by??
Answer:
70: 1, 2, 5, 7, 10, 14, 35, 70
Step-by-step explanation:
The graph of the following system of equations is (5 points)
2x + y = 6
6x + 3y = 18
Estimate 0.5% of 600, what is the answer?
Hopefully someone understands this
Answer:
hi
Step-by-step explanation:
Answer:
c but the dude who said hi is doing this for points so try to avoid him
Step-by-step explanation:
Two students Raymond and Shawna are trying to get city council members to vote for a new park along the river two six of the 24 council members say they already support the idea but that's not enough at least 13 council members must support the idea before the park is approved how many more City council Members must Raymond and Shawna convince
Answer:
At least 5 more council members need to support the idea.
Step-by-step explanation:
2/6 = 1/3
1/3 of 24 is 8
13-8 = 5
Nicole begins jogging for Mr. allergies class. on her first run, she runs one- half mile. she increases her work out by adding one-half mile a week to her run. she wrote the equation f(x) = 0.5 + 0.5x to model her progress. What does x represent?
A. Miles she runs.
B. Weeks she runs
C.miles she ran the first day
D. Calories she burns
BRAINLY INCLUDED
A repair bill for your car is $553. The parts cost $265. The labor cost is $48 perhour. Write and solve an equation to find the number of hours t of labor spent repairing your car.
Equation __ = 553
t= __ hours
Answer:
t = 6 hours
Step-by-step explanation:
553 = 265 + 48 t
t = 6
Explanation:
Let R be the repair bill . Let P be the cost of parts
Let L be the labor cost
R = P +L
R
=
553
P
=
265
553
=
265
+
L
Let
t
be the labor duration
Let
r
be the labor rate
L
=
r
t
r
=
48
⇒
L
=
48
t
553
=
265
+
L
⇒
553
=
265
+
48
t
⇒
288
=
48
t
⇒
t
=
6
camille stopped at the grocery store to buy milk.While at the store,she spotted cans of soup on sale for $2.25 each.if the milk cost $3.50 and she can spend no more than $35,how many cans of soup can she buy
Answer:
14 cans of soup
Step-by-step explanation:
I used my whiteboard and did it
55.25
c
Which linear equation has a slope of 3 and a y-intercept of -2?
O y = 3x + 2
O y = 3x - 2
O y=-2x + 3
O y = -2x-3
VX
Mark this and totum
Next
Submn
9514 1404 393
Answer:
y = 3x - 2
Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx +b . . . . . slope m, y-intercept b
You are told the slope is m=3, and the y-intercept is b=-2. Put these values in the form and you have ...
y = 3x -2 . . . matches the 2nd choice
4. Andy puts $4,000 into an account that offers 3% interest compounded annually. If no additional deposits or withdrawals are made, how much interest will he earn at the end of 6 years?
Answer:
A=$ 4,000(1+.03)∧6 will all equal $4776.209 if round $4,776.21.
Step-by-step explanation:
I use the formula A = P(1 + r)
∧t for annually.
if your looking for the interest rate then use formula interest formula I/Pt = r . I stands for Interest amount paid in a specific time period / p which stands for Principle amount (the money before interest) times T which is Time period involved which will equal r the interest rate.
Which equation represents a line that is parallel to y = -2x - 5?
A. -2x + y = -5
B. x - 2y = -5
c. 2x - y = 0
D. 2x + y = 7
Answer:
Step-by-step explanation:
B. X-2y=-5y
The x and (or) y value have to be equal
What is the slope of the line passing through the points (2,-5) and (4, 1)?
2
-4/5
3
5/4
Step-by-step explanation:
it would be 3 lol good luck
Answer:
3
Step-by-step explanation:
I took the quiz
What number is 0.867 more than 0.203?
Answer:
1.07 =)
Step-by-step explanation:
During one year the value of a diamond increased 25%. If the diamond was originally worth $3000 what was it worth one year later
Answer: $3750
Step-by-step explanation:
25% of 3000 is 750. So add 750 to 3000 you get 3750.
Answer:pues sube unos 740
Step-by-step explanation:
Ponle logica
The distance an electric car can travel on one full charge depends on the speed of the car. The table shows the approximate distances a certain model of electric car can travel on one full charge
when moving at various constant speeds.
The speed and the corresponding distance form an arithmetic sequence, where the speed represents the number of the term and the corresponding distance represents the value of the term.
What is the distance, in miles, that the car can travel on one full charge when moving at a constant speed of 75 miles per hour (mph)?
A) 220
B250
С270
D290
Answer:
Distance covered by the car = 220 miles
Step-by-step explanation:
Speed (mph) (s) Distance (miles) (d) Difference in distances
45 400 -
50 370 400 - 370 = 30
55 340 370 - 340 = 30
60 310 340 - 310 = 30
65 280 310 - 280 = 30
Since differences between each successive term of the distances are common,
Therefore, table represents a linear function.
Let the equation representing the relation between the speed and distance is,
d = ms + c
Where m = slope of the line
And c = y-intercept
For a point (45, 400) lying on the line,
400 = 45m + c ----- (1)
Similarly, for a point (60, 310),
310 = 60m + c -------(2)
Equation (1) - equation (2)
400 - 310 = 45m - 60m
90 = -15m
m = -6
By substituting m = -6 in equation (1),
400 = 45(-6) + c
c = 400 + 270
c = 670
Therefore, equation will be,
s = -6d + 670
Now we have to calculate the distance covered by the car when moving with a constant speed of 75 mph,
d = -6(75) + 670
d = 670 - 450
d = 220 miles
Write an equation in slope-intercept form for the line with slope 1/5 and y-intercept -8
Answer:
y= 1/5x + -8
Step-by-step explanation: slope-intercept form= y=mx+b
y= the number on the y-axis or the simple y
m=slope
x= the number on the x-axis or the simple x
b= y-intercept
The required slope-intercept form of the equation is given as y = 1/5x - 8.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope intercept of the equation is given as,
y = mx + c,
From the given, we have a slope of line m = 1/5 and y-intercept, c = -8.
Now,
y = mx + c
y = 1/5x - 8
Thus, the required slope-intercept form of the equation is given as y = 1/5x - 8.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
Ian’s hourly wage is $13.25. If he regularly works 40 hours per week, what is his regular weekly pay?
Answer:
$530 is his weekly pay
Step-by-step explanation:
Multiply 13.25 by 40 and you will get the answer.
Gorillas may look threatening, but they are peaceful and family-oriented animals. They are the largest of all primates, but as plant-eating animals, do not bother other creatures.
Which choice best paraphrases the information? (5 points)
Group of answer choices
Gorillas may appear scary, but they are nonviolent and family-centered creatures. They are the biggest of all primates, but as vegetarian creatures, they do not inconvenience other species.
As the largest primates, gorillas look imposing. In reality, they eat plants, protect their families, and keep to themselves.
Gorillas look threatening but are peaceful and family oriented. They are the largest primate. They are plant eaters and don't bother other creatures.
Gorillas are the largest of all primates. They may look threatening, but they are plant-eating animals. They are peaceful and family oriented and do not bother other creatures.
Answer:
Gorillas look threatening but are peaceful and family oriented. They are the largest primate. They are plant eaters and don't bother other creatures.
Step-by-step explanation:
Marcelo had $49.13 in his bank account. He paid two fees of $32.50 each, and then he made two deposits of $74.25 each. What is the balance in dollars in Marcelo’s account now?
Answer:
The answer is -164.37 dollars in there bank account.
Step-by-step explanation:
you subtract the two fees first and then you subtract the two deposits from the bank and then you have your answer. I hope that this helps you :)
Solve for w.
W-5= 10
What the answer
Answer:
15
Step-by-step explanation:
10+5 is 15
15-5=10
What is 7/3 divided by 2/3
When we divide two fractions, such as 7/3 ÷ 2/3, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.