A student in the Construction Trades program at the Cecil County School of Technology has 4 1/2gallons of paint. If he uses 2.75 gallons of the paint in one room, how many gallons of paint are left? Show your work on your paper and write your final equation and correct answer in the box below.
Answer:
1.75 gallons of paint
Step-by-step explanation:
A student in the construction trades program has 4 1/2 gallons of paint
If the student uses 2.75 gallons in one room then the gallons of paint that are left can be calculated as follows
= 4 1/2 - 2.75
= 9/2 - 2.75
= 4.5 - 2.75
= 1.75
Hence 1.75 gallons of paint are left
Determine the distance between (2,1) and (12,13)
Answer:
[tex]d = 15.620499[/tex]
Step-by-step explanation:
To solve this question, we must use the following distance equation:
[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
Plug your coordinates into the equation. Remember, a coordinate is denoted as (x, y).
[tex]\sqrt{(12-2)^{2} + (13-1)^{2}}[/tex]
[tex]\sqrt{(10)^{2} + (12)^{2}}[/tex]
[tex]\sqrt{100+144}[/tex]
[tex]\sqrt{244} = 15.620499[/tex]
c. Tara needs 6 batteries for her remote-control car. Brianna needs 5 times as many batteries for her science experiment. How many batteries does Brianna need?
Joe's equation: 5 cross times b equals 6
Answer: Brianna needs 30 batteries
Step-by-step explanation: 5x6=30
Answer:
frbjefhkjfehu shut up
Step-by-step explanation:
jfjewhjehjef haueofg
Each of the 17 guinea pigs needs its cage cleaned. If it takes 1 hour to clean 4 cages, how many hours will it take to clean all 17 cages?
It will take
6
hours to clean all the cages.
Answer: 4 1/4 hours
Step-by-step explanation:
Answer:
it will take 4 hours and 30 minutes
Step-by-step explanation:
first you have to divide 4 by 17 so you would get 4 with a remainder of one. Next, four will be the number of hours and the 1 is the 30 minutes.
(02.03 MC) The temperature at a mountain base camp was −2 degrees Celsius on Thursday. Friday morning, the temperature was 1 degree Celsius lower than it was on Thursday. By Friday evening, the temperature was 3 degrees Celsius lower than it was that morning. What was the temperature at the base camp Friday evening? (1 point) −9 degrees Celsius −8 degrees Celsius −7 degrees Celsius −6 degrees Celsius
Answer:
The temperature at the base camp Friday evening is - 6 degrees Celsius.
Step-by-step explanation:
To get the temperature at a mountain base camp on Friday evening, we must translate statement into a mathematical form:
(i) The temperature at a moutain base camp was - 2 degress Celsius on Thursday:
[tex]T_{o} = -2\,^{\circ}C[/tex]
(ii) Friday morning, the temperature was 1 degree Celsius lower than it was on Thursday:
[tex]\Delta T_{1} = -1\,^{\circ}C[/tex]
(iii) Friday evening, the temperature was 3 degrees Celsius lower that it was that morning:
[tex]\Delta T_{2} = -3\,^{\circ}C[/tex]
The temperature at the base camp Friday evening is:
[tex]T = T_{o}+\Delta T_{1}+\Delta T_{2}[/tex]
[tex]T = -2\,^{\circ}C-1\,^{\circ}C-3\,^{\circ}C[/tex]
[tex]T = -6\,^{\circ}C[/tex]
The temperature at the base camp Friday evening is - 6 degrees Celsius.
Answer:
D) -6 degrees Celsius
The diagonal lengths of three rectangles are shown . The rectangles are not drawn to scale . Which list shows the rectangles in order by their diagonal lengths from shortest to longest ?
Answer:
B. Rectangle T, Rectangle P, Rectangle S.
Step-by-step explanation:
To determine which list shows the correct order of the length of the diagonals of the rectangles from shortest to longest, let all the lengths be in decimal form:
Rectangle P = 6.7 cm
Rectangle S = [tex] \frac{34}{5} cm [/tex] = 6.8 cm
Rectangle T = [tex] \sqrt{36.5} cm [/tex] ≈ 6.04
Thus:
6.04 cm < 6.7 cm < 6.8 cm
Therefore, from the shortest to the longest, we have:
Rectangle T < Rectangle P < Rectangle S.
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PLEASE HELP I CANT GET THESE TYPE OF PROBLEMS
A racing car consumes a mean of 101 gallons of gas per race with a variance of 49.
If 43 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 2.4 gallons? Round your answer to four decimal place
Answer:
The probability that the sample mean would differ from the population mean by greater than 2.4 gallons is 0.86558
Step-by-step explanation:
The given parameters are;
The mean, [tex]\bar x[/tex] = 101 gallons
The population mean = μ
The variance, σ² = 49
The number of racing cars, n = 43
The probability that the sample mean would differ from the population mean by greater than 2.4 gallons is given as follows;
P([tex]\left | \bar x - \mu \right |[/tex]) >2.4 = P(2.4 > [tex]\left | \bar x - \mu \right |[/tex] >-2.4)
The formula for the test of the mean, Z₀, is given as follows;
[tex]Z_0 = \dfrac{\bar x - \mu}{\dfrac{\sigma}{\sqrt{n} } }[/tex]
Therefore, we have;
[tex]P \left (\dfrac{2.4}{\dfrac{\sqrt{49} }{\sqrt{43} } } >Z> \dfrac{-2.4}{\dfrac{\sqrt{49} } {\sqrt{43} } } \right) = P \left (\dfrac{2.4}{\dfrac{7 }{\sqrt{43} } } >Z> \dfrac{-2.4}{\dfrac{7} {\sqrt{43} } } \right)[/tex]
Which gives;
P([tex]\left | \bar x - \mu \right |[/tex]) >2.4 = P(2.25 > Z > -2.25)
(We round up to 2.25 because that is the accuracy of the z-table)
From which we have;
P(Z > -2.25) - P(Z > 2.25) = (1 - P(Z < -2.25)) - (1 - P(Z < 2.25))
P([tex]\left | \bar x - \mu \right |[/tex]) >2.4 = (1 - 0.1222) - (1 - 0.98778) = 0.86558
The probability that the sample mean would differ from the population mean by greater than 2.4 gallons = 0.86558.
What’s the solution to f
Answer:
65
Step-by-step explanation:
Answer:
f = 65
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
201.5 = f + 136.5
Step 2: Flip the equation.
f + 136.5 = 201.5
Step 3: Subtract 136.5 from both sides.
f + 136.5 − 136.5 = 201.5 − 136.5
f = 65
Find the value of the expression 3a - 2b + c, when
a = 4, b = 2, and c= 3
Answer:
12 - 4 + 3 = 11
Step-by-step explanation:
How do you write negative 4 tenths as a fraction?
Answer:
-4/10
Step-by-step explanation:
HELP ME I NEED THIS ONE RIGHT
Answer:
x=8
Step-by-step explanation:
Please, I really need it
Answer:
2 -1 -2
Step-by-step explanation:
Answer now get ur moneyy
Which number has a repeated decimal form
Answer:
2/6 has a repeating decimal
m23 is 6x +118)" and m 25 is 1x + 78).
1
2
4
5 6
78
What is m26?
Answer:78
Step-by-step explanation:
The sum of two numbers is 68. The difference is 12.
what is 3x=15? If anybody knows
Answer:
5
Step-by-step explanation:
3 times what equals 15
Answer:
3x means to multiply so this question means 3x=15 that x is five i believe
Step-by-step explanation:
Find the slope of the line that connects the points (0,4) and (-4,1).
Answer:
3/4
Step-by-step explanation:
We can use the formula [ y2-y1/x2-x1 ] to solve.
1-4/-4-0
-3/-4
3/4
Best of Luck!
Triangle XYZ and Triangle RST are similar
True
O False
Answer:
True!
Step-by-step explanation:
They both are the same shape just the scale size changed! They are the same because 6 ÷ 4 = 1.5 and 3 ÷ 2 = 1.5. Pls Brainliest! ;) It would mean a lot!
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
At first glance I would say that they are similar but when you look at the proportions of this triangle you could tell that they aren't at all proportional so that makes them not similar to each other at all.
Evaluate the expression.
10÷(
–
8–
–
7×1)
Answer: -⅔
...................
Alana bought some cans of paint and 1/2 of a liter of special paint additive formulated to reduce mildew. Before painting her house, she used all of the additive to put 1/8 of a liter of additive in each can. How many cans of paint did Alana buy?
Answer:
Alana bought 4 cans of paint additive
Step-by-step explanation:
Proportions
If a proportional amount of x is to be distributed between y elements, each one of them gets x/y portions.
For example, if we have 100 coins and distribute evenly between 20 boxes, each box will receive 100/20=5 coins.
Alana bought 1/2 of a liter of the special paint additive and evenly distributed it between an unknown number of cans, let's call it C. We also know each can received 1/8 of a liter of the additive. That is the proportion of the 1/2 liter of additive.
We can establish the following condition:
[tex]\displaystyle \frac{1/2}{x}=\frac{1}{8}[/tex]
Solving for x:
[tex]\displaystyle \frac{1/2}{\frac{1}{8}}=x[/tex]
Transform the division into a product:
[tex]\displaystyle x=\frac{1}{2}\cdot\frac{8}{1}=4[/tex]
Alana bought 4 cans of paint additive
Line PQ is located in the coordinate plane with point P at(-2,-2)
and point Q at (0,7). Point R is located at (3, 0). For what coordinates of point S will lines PQ and RS be parallel?
(5,9)
(9,5)
(5. – 1)
(1-1,5)
Answer:
The coordinates of point S are (5, 9) will make line PQ // line RS ⇒ A
Step-by-step explanation:
Parallel lines have the same slopes
The slope of a line = Δy/Δx, where
Δ y is the change of yΔ x the change of xLet us first find the slope of the line PQ.
∵ P = (-2, -2) and Q = (0, 7)
∴ Δx = 0 - (-2) = 0 + 2 = 2
∴ Δy = 7 - (-2) = 7 + 2 = 9
∴ The slope of PQ = 9/2
∵ Line PQ // line RS
∴ The slope of line PQ = the slope of line RS
∴ The slope of line RS =9/2
∵ Point R = (3, 0) and point S = (x, y)
∵ The slope of line RS = 9/2
∵ The slope = Δy/Δx
∴ Δy/Δx = 9/2
→ That means Δy = 9 and Δx = 2
∵ Δy = y - 0
∵ Δy = 9
∴ 9 = y
∵ Δx = x - 3
∵ Δx = 2
∴ 2 = x - 3
→ Add 3 to both sides
∴ 2 + 3 = x - 3 + 3
∴ 5 = x
∴ The coordinates of point S are (5, 9) will make line PQ // line RS
Are 35 and 36 relatively prime?
Answer:
No, because the don't have common factors.
Step-by-step explanation:
35 factors: 1,5,7,35
36 factors: 1,2,3,4,6,9,12,18
(5.8 × 105)(6.4 × 102)
what is 39/100 simplified
Answer:
0.39
Step-by-step explanation:
Answer:39/100
Step-by-step explanation: it can't be simplified
7. Find the equation of a line in slope intercept form that is parallel to the line below that goes through the point (6, 4). y = fx-5
Answer:
y=3/2x-5
when finding the equation of a line, we use this formula
y=mx+b
where Y= a point on the y-axis
M= ∆y/∆x
x= a point on the x-axis
and b = intercept
Step-by-step explanation:
so to in this case, we are given y= 4, x=6 and y-int = -5
substitute the value in the given equation,
therefore, 4=6m-5
4+5=6m
9/6=M
3/2=m
Answer y=3/2x-5 that is the equation of the line
A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of sugar weighs 12.5 grams. Write an equation to represent the relationship between the total weight of the bowl in grams, and the tablespoons of sugar,
Answer:Total Weight of Bowl W = 340 + (12.5T) grams
Step-by-step explanation:
help me for points please
Step-by-step explanation:
if x is real number then there are infinte numbers between 3 and 5.
if x is natural number then there is just one solution and that is number 4
Whats the estimated answer for 3,178 + 1,452 ?
Thank you!
Answer:
4,360
Step-by-step explanation:
3,178
+
1,452
=
4,360
a health club chargers a monthly fee of $99 plus $2 per visit. donny paid $121 for the month of october. how many times did he visit the gym