38.50/7 = $5.50 for each cases of water Heather bought.
Answer:
$5.50 / case
Step-by-step explanation:
Here we're finding the 'unit cost' $38.50 / (7 cases) = $5.50 / case
Two trucks leave a warehouse at the same time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by 2 miles per hour. After 5 hours, they are 315 miles apart. What are the rates of the trucks?
Step-by-step explanation:
the slower truck travels x miles in 5 hours.
the faster truck travels x + 5×2 = x + 10 miles in 5 hours.
so,
x + x + 10 = 315 miles
2x = 305 miles
x = 152.5 miles (in 5 hours)
therefore, the slower truck's speed was 30.5 mph.
the faster truck's speed was 30.5 + 2 = 32.5 mph.
Solve.
−4.8x=−4
What is the solution to the equation?
Enter your answer as a simplified fraction in the box.
x =
-4.8x=-4
The simplified fraction is 5/6
How I solved it:
-4.8 = -24/5 in fraction form.
-24/5 × 5/6 = -120/30
-120/30= -4
Answer:
-4
Step-by-step explanation:
Please help
Is (6, 3) a solution to this system of inequalities?
x + 3y ≥ 15
10x + 3y > 3
Answer:
Graph both inequalities and see if the point lies in the overlapping shaded region.
Step-by-step explanation:
PLSSS HELP THIS IS HARD ANYONE
Answer:
270 degrees counterclockwise rotation/ the last answer
Step-by-step explanation:
reflection over the y axis wouldn't work bc the shape would still be a horizontal rectangle
dilation would change the size of the shape
and translation wouldn't map it correctly bc it would still be turned the wrong way
Answer:
270 degrees counterclockwise rotation
Step-by-step explanation:
you can use the formulas, but if you don't know them you can always draw
270 degrees counterclockwise = 90 degrees clockwise
(x,y) -> (y,-x)
A'(1,-2) -> A(-2,-1)
B'(3,-2) -> B(-2,-3)
C'(3,-5) -> C(-5,-3)
D'(1,-5) -> D(-5,-1)
What is the solution to the 2nd degree equation below?x² + 2x + 4 = 0
Answer:
x = (−2 ± √−12)/2
Step-by-step explanation:
Using the quadratic formula (search it up if you don't know what it is, but it's basically the first thing in the pic):
The 13th arithmetic sequence of whose common difference is d=7 and first term is A1=3
Answer:
87
Step-by-step explanation:
difference = 7
A1 = 3
so let's imagine this arithmetic sequence as
3, 10, 17, 24 etc....
mathematically the sequence can be described as
An = a1 + (n - 1) d
A13 = 3 + (13 - 1) 7 = 3 + 12*7 = 87
6. Is it possible to use the distributive
property to rewrite 85 + 99 as a product
of a whole number greater than 1 and a
sum of two whole numbers? Explain your
answer.
Answer:
No because they don't have any common factors.
Step-by-step explanation:
85 = 5 x 17
99 = 3 x 3 x 11
They don't have any common factors
6÷4(7+8)= 8-6(4+9)= 4÷8(9+3)=
Answer:
6÷4(7+8) = 22,58-6(4+9)= 264÷8(9+3)= 6Step-by-step explanation:
6÷4(7+8)= 6÷4(15)= 1,5 × 15= 22,58-6(4+9)= 8-6(13)= 2 × 13= 26 4÷8(9+3)= 4÷8(12)= 0,5 × 12= 6If f(x) = 4x − 1 and g(x) = −3x + 2 (a) Find ℎ(x) = f(x) + g(x)
Answer:
x+1
Step-by-step explanation:
4x - 1 + (-3x) + 2 = x + 1
Who can help me on this? NEED OF HELP!
Answer:
25+25 = 50
sum means +
Integers are positive and negative numbers, no decimals or fractions though
Write an equation of the line that is parallel to the y-axis and goes through the point (-2, 5)
Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?
Step-by-step explanation:
Pam and Erin want the gardens to be proportional.
proprtional- equal
Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.
16×12= 192
Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.
192÷21=9.14
Write an equation of the line that passes through (0, 6) and is parallel to y=5x-3
Y=
Answer:The answer should be y = 5x + 6
Step-by-step explanation:
what is 1/4+3/8+1/2+5/8+3/4+7/8+1+1 1/4
Answer:
5.625 which is 5 5/8.
Step-by-step explanation:
Robert graded his friend Sam's practice test and a him a 72% Sam checked it again in found that he really made a 80% Robert said relax i only made an error of 8%Is robert correct
Answer:
No
Step-by-step explanation:
Use the formula, difference/original. The difference is 8%. The original is 72%.
The equation would be: 8/72
Which is 1/9
1/9 = 11.1%
So he made a mistake of 11%
Since 2012, the price of a school lunch at Westown High School has risen at a constant rate. In 2014, the price of a school lunch was $2.25. The price rose to $3.20 by 2019.
Complete the equation that describes the relationship between the price of a school lunch in dollars, P, and the elapsed time in years since 2012,
Write your answer using whole numbers or decimals rounded to the nearest hundredth.
Please help I don’t understand
Answer:
P = 0.14t +2.25
Step-by-step explanation:
The statement that "the price of a school lunch ... has risen at a constant rate" is telling you that the price can be modeled by a linear equation. If P is the price, and t is years after 2012, you are given two points on the line:
(t, P) = (0, 2.25) and (7, 3.20)
You can use these points to find the equation of the line in the usual way.
m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line through (x1, y1) and (x2, y2)
m = (3.20 -2.25)/(7 -0) = 0.95/7 ≈ 0.14
The first point tells you the equation intercept, so the relationship between P and t is ...
y = mx +b . . . . . . . m = slope; b = y-intercept. We're using (t, P) for (x, y).
P = 0.14t +2.25
Your bill at a restaurant is $68 and you want to leave a %20 tip what is the total amount you will leave
Answer:
$81.6
Step-by-step explanation:
You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.
The points in the table lie on a line. Find the slope of the line.
what is 1/8 divided by 2 3/4?A 1/32B 2 1/3C 1/22D 2 1/2
Answer: It is letter C. 1/22
Step-by-step explanation:
Change 2 3/4 to an improper fraction to get 11/4, then multiply 1/8 by the reciprocal of 11/4 which is 4/11.
1/8 x 4/11= 4/88
4/88 simplified = 1/22
2(5 - 8x) -13 = 9(1 - x) -12
2 (5 - 8x) - 13 = 9 (1 - x) - 12
10 - 16x - 13 = 9 - 9x - 12
10 - 13 - 16x = 9 - 12 - 9x
- 3 - 16x = - 3 - 9x
- 3 + 3 = - 9x + 16x
0 = 7x
0/7 = x
0 = x
_____
Hope it helps ⚜
Answer:
x = 0Step-by-step explanation:
2(5 - 8x) - 13 = 9(1 - x) -12 => 10 - 16x - 13 = 9 - 9x - 12=> -3 - 16x = -3 - 9x=> 0 = 16x - 9x=> 0 = 7x => x = 0Conclusion:
Therefore, the answer is 'x = 0'
!! Hoped this helped !!
[tex]BrainiacUser1357[/tex]
Solve for x. *
40
15
50
10
[tex]\huge \bf༆ Answer ༄[/tex]
The Angles marked there forms linear pair, and therefore they add up to be equal to 180°
That is ~
[tex] \sf2x + 30 + x = 180[/tex][tex] \sf3x + 30 = 180[/tex][tex] \sf3x = 180 - 30[/tex][tex] \sf x = 150 \div 3[/tex][tex] \sf x = 50 \degree[/tex]Therefore, value of x is 50°
please help me i’m being timed!!!
Answer:
B
Step-by-step explanation:
The heaviest pig on the farm weighs 100 pounds
Solve the system with elimination:
5x - y =1
10x + 3y = 7
Answer:
X = 2/5
y = 1
Is this what your looking for?
Step-by-step explanation:
Which system of equations has no soulutions
Help me please!! I don’t understand
Answer:
Step-by-step explanation:
Select all expressions that show the distance between P and Q
DISCLAIMER THERE COULD BE MULTIPLE ANWSERS
A 5−(−8)
B 5+|−8|
C |−8+5|
D 5+(−8)
Answer:
A and B
Step-by-step explanation:
5-(-8) = 5+ 8= 13 (the distance between -8 and 5)
5+|-8| = 5 +8 = 13
A line has a slope of 7 and includes the points (-5, a) and ( -6, 1). What is the value of a?
Answer:
a = 8
Step-by-step explanation:
First find the equation of line using
y-y1=m(x-x1) --- m=slope = 7 and x1= -6 and y1= 1
y-1=7(x-(-6))
y-1=7x+42
y=7x+43
now let x be -5 to find y which is a
y=7(-5)+43
y=-35+43
y=8
so a = 8
4,268 ÷ 2 = n.
Find n.
A. 1,324
B. 1,234
C. 2,134
D. 2,314
Answer:
C.2,134
Step-by-step explanation:
4÷2=2
2÷2=1
6÷2=3
8÷2=4
Answer:
C
Step-by-step explanation:
Had that same question and I just guessed and got it right
The price,
P of tickets at a movie theater since it opened in 2001 can be modeled by the linear equation shown, where t is the number of years since 2001. P = 8.75 + 0.35t
What is the meaning of the P
-intercept in this scenario?
the price of a ticket in
2001
the price of a ticket in 2001
the increase in ticket price per year
the increase in ticket price per year
the total number of years the theater has been open
the total number of years the theater has been open
the difference in the price of a ticket in
2001
and the price in
2011
Answer:
B
Step-by-step explanation:
You have to look at the second term to be sure of the meaning of t - 15n
What the given term says is that the total number of tickets sold (p) will decrease by 15 times the number of increases that there are.
The other term says that the cost of 1 ticket will increase that each ticket will increase by 2 dollars for each change in the ticket prices providing that change is 2 dollars.
C is out of the question. The information talks about 2 dollars per increase which is the first term.
A is not quite correct. It implies there is exactly 1 ticket increase. The crorect answer is the ticket increases can be a number of times (n)
The answer is B
What is the distance between the points (5, 1) and (-3, -5)?
Answer: 10
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-3-5)^2+ (-5-1)^2 d = √(-8)^2 + (-6)^2 d = √64+36 d = √100 d = 10