if its total was $490 for the week, what was its average daily change?
Answer:
$70/day
Step-by-step explanation:
7 days = 490
1 day = X
Cross multiply
7X = 490
Divide both sides by 7
X=70
Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620. Part A: Create an equation that will determine the number of days on the trip. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Donna spend on this trip? (1 point)
Answer:
See below
Step-by-step explanation:
Part ALet number of days be d, then the equation is:
50d + 200*0.6 = 1620Part BSolution of the equation
50d + 120 = 162050d + 120 - 120 = 1620 - 120 ⇒ subtraction property of equality50d = 150050d / 50 = 1500/50 ⇒ division property of equalityd = 30Part C30 days as aboveWhat is an equation of the line that passes through the points (4,−1) and (8, 5)? Put your answer in fully reduced form.
HELP PLS
Answer:
y=2/3x-7
Step-by-step explanation:
The slope intercept formula is
y=mx+b
(m) is the slope (rate of change)
(b) is the y intercept (where the line crosses the y axis [vertical])
We need to find the slope and the y intercept. First we will find the slope.
The formula for slope is y1-y2/x1-x2
In and ordered pair the first value is the (x) and the second is the (y).
(x, y)
We take the (y) of one of the given points and subtract the (y) of the second given point, then divide it by the (x) of one of the given points and the (x) of the other given point.
5-(-1)/8-4
Simplify.
5-(-1) =5+1= 6
8-4=4
6/4 Simplify
3/2 is our slope.
Now we apply out new slope into our y=mx+b
y=3/2x+b
Now we need to find the (b) which is the y intercept.
To do this we need to use one of our given points, you can choose either but for this I'll use (4, -1).
In this ordered pair 4 is the (x) and -1 is the (y)
So replace (y) with -1 and (x) with 4
-1=3/2(4)+b
Now solve as usual.
-1=6+b
subtract 6 from each side
-7=b
b=-7
Put our (m) and (b) into our formula.
y=2/3x-7 is our equation.
Donna purchases 10 tickets to a state fair.
• She purchases 4 adult tickets for $48.
• The remaining tickets are child tickets, for which she pays a total of $42.
What is the ratio of the price of one adult ticket to the price of one child ticket?
A.
2 to 3
B.
4 to 3
C.
8 to 7
D.
12 to 7
12 to 7
Step-by-step explanation:
The ratio of the price of one adult ticket to the price of one child ticket is 12 to 7. The correct option is D.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Donna purchases 10 tickets to a state fair.
• She purchases 4 adult tickets for $48.
One ticket is 48/4 = 12
• The remaining tickets are child tickets, for which she pays a total of $42.
One ticket is 42/6 = 7
To find the ratio:
one adult ticket / one child ticket
= 12 / 7
or, 12 to 7.
Therefore, 12 to 7 is the required ratio.
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Kevin bought twelve 8-ounce bottles of water. How many milliliters of water did Kevin buy? (Note: 1 ounce ≈ 30 ml) Thank you for any help I may get! <3
Given:
Kevin bought twelve 8-ounce bottles of water.
1 ounce ≈ 30 ml
To find:
The quantity of water in milliliters
Solution:
We have,
1 ounce ≈ 30 ml
8 ounce ≈ 8×30 ml
8 ounce ≈ 240 ml
It means, one 8 ounce bottle can hold about 240 milliliters of water.
Total number of bottles = 12
So, the quantity of water Kevin buy in milliliters is
[tex]12\times 240=2880[/tex]
Therefore, Kevin buys 2880 milliliters of water in twelve 8-ounce bottles.
3400 people attended a football game. 2312 of the people attending supported the home team, while 1088 supported the visiting team. What percentage of people attending supported the home team?
Answer:
68%
Step-by-step explanation:
SLOPE AND PARALLELISM
COMMON CORE GEOMETRY PRACTICE
MEASUREMENT AND CONSTRUCTION
1. Graphically determine the slopes of the line segments that create shown below. Write your final
slopes in simplest form.
(a) AD
(b) CD
(c) AC
the equation p = 3s represents the perimeter p of an equilateral triangle with side length s. what is the perimeter of an equilateral triangle with side length 4 km?
Answer: 12
Step-by-step explanation:
p=3s
s=4
p=3(4)
P=12
what is the vertex of h(x)=3x^2+6x-2?
its -1 and -5
thank u for letting me helps u
FIRST ANSWER GETS BRAINLY
What are two ways to start solving the equation 4(c - 3)=8? Choose BOTH ways
1. Add 3 to both sides to get 4c = 11
2. Divide both sides by 4 to get c - 3 = 2
3. Use the distributive property to get 4c - 3 = 8
4. Use the distributive property to get 4c - 3 = 8
5. Subtract 4 from both sides to get c - 3 = 4
Answer
2, i can't find any other solution
Step-by-step explanation:
you divided both sides by 4 you get x - 3 = 2/2 plus 3 = 5 = x
To solve an equation 4(c - 3) = 8 the correct ways are
1. Use the distributive property to get 4c - 12 = 8
2. 2. Divide both sides by 4 to get c - 3 = 2
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
The two ways to start solving the equation 4(c - 3) = 8 are:
Use the distributive property to get 4c - 12 = 8, then add 12 to both sides to get 4c = 20, and finally divide both sides by 4 to get c = 5.
This method uses the distributive property to simplify the left-hand side of the equation before solving for c.
Divide both sides by 4, and we get,
4(c - 3)/4 = 8/4
c - 3 = 2
c = 5.
Therefore, the two ways are given above.
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The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *
Answer:
You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.
If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.
If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.
this pattern keeps repeating.
In 1995 the town of Springdale had a population of 2,378. Over the next 20 years the town's population decreased by 12.5%. What was the population of the town in 2015?
Answer: 165
Step-by-step explanation:
Exponential equation for decay :[tex]A= P(1-r)^t[/tex] , where A is the value after t year, P = initial value.
As per given ,
P= 2378
t= 20 years
r = 12.5% = 0.125
Now ,
[tex]A=2378(1-0.125)^{20}\\\\=2378(0.875)^{20}\\\\= 2378(0.0692087587)\\\\=164.57842\approx 165[/tex]
Hence, the population of the town in 2015 = 165
HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?
what does each letter of pe = mgh mean?
Answer:
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity and h is the height in meters.
Hope this helps
Answer:
physical education
Step-by-step explanation:
p: physical
E: education
HELP ME ASAP PLEASEEEEEEEE
Answer:
y= 3/2x+ 360
Step-by-step explanation:
3/2 is the slope
360 is the b (y intercept)
Answer:
slope m = -60
equation y = -60x + 360
Step-by-step explanation:
to find slope use two points given
(x1, y1) = (6, 0)
(x2, y2) = (0, 360)
m = (360-0) / (0-6) = -60
equation y = mx + b
b is the y intercept at (0,360), b= 360
y = -60x + 360
20 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER
Answer:
-5.7
Step-by-step explanation:
Answer:
-5.4 LOL
Step-by-step explanation:
In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.
Answer:
x = 14
m∠A = 38°
m∠C = 71°
m∠D = 71°
Step-by-step explanation:
By the property of a triangle,
"Sum of interior angles of a triangle is 180°"
m∠A + m∠C + m∠D = 180°
By substituting the values of the angles given in the question,
(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°
(3x + 5x + 7x) + (-4 + 1 - 27) = 180
15x - 30 = 180
15x = 210
x = 14
Therefore, m∠A = 3x - 4
= 3(14) - 4
= 38°
m∠C = 5x + 1
= 5(14) + 1
= 71°
m∠D = 7x - 27
= 7(14) - 27
= 98 - 27
= 71°
a car is traveling at a constant speed. it travels 3 2/1 miles in 5 1/4 minutes. how many minutes will it take the car to go 70miles
Answer:
105 minutes
Step-by-step explanation:
I need help!!!!! Jdjshekosixjsjjejfixis
Pls we only need part B to pass this subject
Answer: Weird
Step-by-step explanation: Maybe calculate all the numbers I guess.
What is the equation of the line in slope-intercept form
Answer:
y=1/3x+45
Step-by-step explanation:
What is the equation of a line that passes through (0, 7) and has a slope of -2?
Answer:
y = -2x + 7
Step-by-step explanation:
We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]
y = -2x + b
7 = -2(0) + b
7 = 0 + b
7 = b
Put everything we know/solved for into the original formula.
y = -2x + 7
Best of Luck!
Find the area of the circle. Round your answer to the nearest hundredth.
Answer:
oh i thought i knew this sorry man
Step-by-step explanation:
Answer:
7.10
Step-by-step explanation:
Sorry if this is wrong, just a guess:)
Find the distance of each pair of points. Round your answer to the nearest tenth, if necessary
Answer:
6.4
Step-by-step explanation:
Please help I need to finish this
What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)?
40
77
4,096
9,317
plus brainlyest and im being timed
12 points? Please ASAP NEED HELPPPPP
Answer:
she is correct because if you reflect that over the Y axis
Question...Sleep is known to affect student grades. Kirsten is conducting a study in a local high school using two treatments on two groups of students. One group will nap one hour in an eight-hour school day and another will nap 30 minutes in an eight-hour school day. What group would be the best control for the study?
Options...
A third group that takes a one-hour nap or a 30-minute nap randomly each day
A third group that shortens the school day to six hours
A third group in which no naps occur
A third group that splits the day with a 30-minute nap in the morning and a 30-minute nap in the afternoon
A third group in which each student chooses either a 30-minute nap or a one-hour nap
Answer:
c
Step-by-step explanation:
a third party group in which no naps occur
e-intercept form.
2. (2, 4); slope
1
2
write the linear equation in slope-intercept form
to work this out you need to solve for your y-intercept. by using what you have.
once you do so you get the answer y=1/2x+3
Which of the following does not show the Commutative Property of Addition or Multiplication?
a. xy – 9 = xy
b. x + y = y + x
c. yx = xy
d. 3 + y = y + 3
Answer:
XY - 9 = XY
Step-by-step explanation:
You need to be careful when you are driving so 3+y is not the answer because 3 means dead in the language of god and y means yo so Its not the answer. Hope it helps