Answer:
875 cubic feet
Step-by-step explanation:
A group of 6 hikers are preparing for a one week trip. All of the group's supplies will be carried by the hikers in
backpacks. The leader decides that each hiker will carry a backpack that is the same fraction of weight to all the other
hikers' weights. This means that the heaviest hiker would carry the heaviest load. The table below shows the weight of
each hiker and the weight of the backpack
Complete the table. Find the missing, amounts of weighit by applying the same value of the ratio as the first two rows.
Backpack Weight
Hiker's Weight
152 15.402
Total Weight (lb.)
14 1b, 802
107 lb, 10 oz
10 lb. 4 02
129 lb. 15 02
68 10.40
8 lb. 12 oz
10 lb
Answer:
Step-by-step explanation:
1 oz = 0.0625 lb
Ratio of the hiker an backpack in the first row = 152.25 lb : 14.5 lb
= 21 : 2
Hiker's weight Backpack weight Total weight (in lb)
1). 152 lb 4 oz 14 lb 8 oz (152+14) lb (4+8) oz = 164lb 12oz
= 16.75 lb
2). 107 lb 10 oz 10 lb 4 oz (107+10) lb (10+4) oz = 117 lb 14 oz
= 117.875 lb
3). 129 lb 15 oz [tex]\frac{129.9375}{x}=\frac{21}{2}[/tex] (129+12) lb (15+6)oz = 141 lb 21 oz
x = 12.375 lb = 142.3125lb
x = 12 lb 6 oz
4). [tex]\frac{x}{8.75}=\frac{21}{2}[/tex] 8 lb 12 oz (8 + 91) lb (14+12) oz = 99 lb 26 lb
x = 91.875 lb = 100.625 lb
x = 91 lb 14 oz
5). [tex]\frac{x}{10}=\frac{21}{2}[/tex] 10 lb (105 + 10) lb = 115 lb
x = 105 lb
Which rate describes a unit price?
$1.00 for 2 lemons
$3.00 for every pound
$4.00 for 3 slices of pizza
$6.00 for every 6 bottles
Answer:
$3 for every pound....
Answer:it would be b $3.00 for every pound
explanation:A unit price is something for each not multiple
Under a dilation, a square with side lengths 14 meters is transformed to a square with side lengths 2 meters. What is the scale factor of the dilation?
Answer:
1/7
Step-by-step explanation:
I got it right
Given the function f(x) = 3 (x - 9) + 6 which of the following represents f-1 (x)?
Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{3}[/tex] x + 7
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 3(x - 9) + 6 ← distribute and simplify right side
y = 3x - 27 + 6 = 3x - 21 ( add 21 to both sides )
y + 21 = 3x ( divide all terms by 3 )
[tex]\frac{1}{3}[/tex] y + 7 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{3}[/tex] x + 7
Please help with Algebra
Answer:
C) 6
Step-by-step explanation:
I converted the equation into slope-intercept form and then identified the y-intercept.
[tex]4x+2y=12\\\\4x-4x+2y=12-4x\\\\2y=12-4x\\\\\frac{2y=12-4x}{2}\\\\ y=6-2x\\\\y=-2x+6\\\\y=-2x+\boxed{6}[/tex]
C should be the correct answer.
Hope this helps.
Answer: 6
Step-by-step explanation: The y-intercept is a point where a line
crosses the y-axis and all y-intercepts have an x-coordinate of zero.
So to find the y-intercept of this line, we can plug a 0 in for x.
So we have 4(0) + 2y = 12.
So 2y = 12 which means that y = 6.
So the y-intercept of this line is 6.
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Train Station is located at (13,15) and the Bus Station is located at (5,1). The Tourist Information Center is located at point
x=___
y=___
Answer:
X = 9 and Y = 8
Step-by-step explanation:
We are to find the midpoint of the coordinates (13,15) and (5,1).
Using the midpoint formula;
M(X, Y) = [(x1+x2)/2, (y1+y2)/2]
X = (x1+x2)/2
Y = (y1+y2)/2
From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1
X = 13+5/2
X = 18/2
X = 9
Similarly;
Y = 15+1/2
Y = 16/2
Y = 8
Hence The Tourist Information Center is located at point X = 9 and Y = 8
27 divided by 3"2 please show working out
Answer:
3
Step-by-step explanation:
If the speech comma are suppose to represent 3 Squared then here are the steps:
3×3=9
27÷9=3
Hope this helps you :))
jsjsjsjjsjs i need help with hw once again. first person to answer gets brainliest ;)
Answer:
7 degrees Fahrenheit
Step-by-step explanation:
-3 + 11 = 7
It's the same as
11-3= 7
What is the standard position angle
Answer:
A would be 35
Step-by-step explanation:
if that area is at a 90 digre angle then do 90- 55 then you get your anwser.
Help please! sssssssssssssss
Answer:
UT=17 because both UT and RU are the same length, same with QU and US
Step-by-step explanation:
Ori needed at least $1.47 in postage to mail an envelope to his cousin overseas. If x represents the number of $0.44 cent stamps he has and y represents the number of $0.10 cent stamps he has, the inequality representing the number of stamps he can use to mail the envelope is 0.44x+0.10y≥1.47. If Ori uses all 3 of the $0.44 cent stamps he has, what is the minimum number of $0.10 stamps he needs to use?
The minimum number of $0.10 stamps he needs to use is 1 stamp.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
let x represents the number of $0.44 cent stamps
and, y represents the number of $0.10 cent stamps
Ori uses all 3 of the $0.44 cent
=0.44x3
= 1.32
Then, 1.47-1.32= 0.15
We have at least 2 dimes for the equation
=0.44(3)+0.10(2)≥1.47
= 1.32+0.20≥1.47
= 1.52≥1.47
Then, number of $0.10 stamps he needs to use
= 0.15/ 0.10
= 1.5
= 2 or 1 stamps
Learn more about inequality here:
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Answer:
2.
Step-by-step explanation:
BRAINLIEST WILL BE MARKED
Another name for the domain is:
output
input
dependent variable
relationship
Answer:
B. input
Step-by-step explanation:
what is an absolute value of an interger
Answer:
its the distance it has from 0 on the number line.
Step-by-step explanation:
What is the slope of a line that contains the points (5, -3) and (7, 3)? *
Slope formula: y2-y1/x-x1
We can use the given points to solve.
3-(-3)/7-5
6/2
3
Best of Luck!
Solve the system of linear equations by substitution. 11x – 7y = -14 x – 2y = -4
Answer:
x = 0 & y = 2. Hope this helped <3
The value of x and y from the equation is 1/6 and 5/6 respectively
x = 1/6
y = 5/6
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be A
11x - 7y = -4 be equation (1)
Let the second equation be B
-14x - 2y = -4 be equation (2)
On simplifying , we get
Multiply equation (2) by 7 , we get
-98x - 14y = -28 be equation (3)
Multiply equation (1) by 2 , we get
22x - 14y = -8 be equation (4)
Subtract equation (4) from equation (3) , we get
-120x = -20
Divide by 120 on both sides , we get
x = 1/6
Now , substituting the value of x in equation (1) , we get
11x - 7y = -4
11 ( 1/6 ) - 7y = -4
Adding 7y on both sides , we get
7y - 4 = 11/6
Adding 4 on both sides , we get
7y = 11/6 + 4
7y = 35/6
Multiply by 7 on both sides , we get
y = 5/6
Hence , the value of x is 1/6 and value of y is 5/6
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Help!! which expression is equivalent to (5^3)^-2?
A.1/5^3
B. -1/5•5•5•5•5•5
C. 5^3
D. 1/5•5•5•5•5•5
Answer:
D
Step-by-step explanation:
(5³)^-21/(5³)²1/5^61/5·5·5·5·5·5Answer:
1/ ( 5*5*5*5*5*5)
Step-by-step explanation:
(5^3)^-2
We know that a^b^c = a^ ( b*c)
5^(3*-2)
5^ -6
We know that a^ -b = 1/ a^b
1/5 ^6
1/ ( 5*5*5*5*5*5)
2. If the bill was $138, how far were you towed? Explain.
Answer:
It depends on how long the measurement is for each amount of money for example every 5 miles pay $12 so it would be which would be 11$.5 and the equation would be $12/5mi and if he had to pay $138 then it shows that he went 11.5 mi
Step-by-step explanation:
Explain how you get the answer to 7|8-3h|=21h-49
Awnser-H=5/2
Explantion- Absolute value equalitiy entered
7|-3h+8| = 21h-49 Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 7|-3h+8|
For the Negative case we'll use -7(-3h+8)
For the Positive case we'll use 7(-3h+8)
-7(-3h+8) = 21h-49
Multiply
21h-56 = 21h-49
Rearrange and Add up
0h = 7
False, No solution for the Negative Case 7(-3h+8) = 21h-49
Multiply
-21h+56 = 21h-49
Rearrange and Add up
-42h = -105
Divide both sides by 42
-h = -(5/2)
Multiply both sides by (-1)
h = (5/2)
Which is the solution for the Positive Case When an absolute value equation has just one solution, that solution has to be checked:
The equality is 7|-3h+8| = 21h-49
The solution is h = 5/2
We check the solution by plugging it for h
7|-3(5/2)+8| = 21(5/2)-49
The left hand side is equal to (7/2)
The right hand side is equal to (7/2)
The two sides are equal!
Solution checks!
h=5/2
PLZ HELP this doesnt make sense
Answer:
No.
If two rectangles are congruent, it means they are the exact same shape and size.
I have uploaded an image with this answer. In the image, you can see two rectangles with the same perimeter. However, they are not congruent because they are not of the same size (even though they are of the same shape - a rectangle).
Hence, two rectangles may not be congruent if they have the same perimeter.
Simplify (2/3)^1 Show your work!
Having 1 as an exponent does nothing to the original number.
2/3^1 = 2/3
Best of Luck!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Anything to the power of 1 is itself.
---------------------------------------------------
If a number is to the power of 2, it multiplies itself and there are two 8 terms.
[tex]8^2=8*8[/tex]
Thus, if a number is to the power of 1, it is just by itself.
[tex]8^1=8[/tex]
Plz help, I will give you brainlest! Thx!
Answer:
(0,-10)
Step-by-step explanation:
Answer:
your answer Is 3
Step-by-step explanation:
You do y2-y1 and x2-x1
that gives you -2-22/-4-4 which leaves you with
-24/-8
and that’s 3
the absolute value of negative eight
Answer:8
Step-by-step explanation:take off the negative symbol
It was a very freaky weather day. The temperature started out at 9°C in
the morning and went to -13°C at noon. It stayed at that temperature for six
hours and then rose 7°C. Which ADDITION expression shows the change in
temperature
9 + 13 + 7
9 + (-13) - 7
O 9-13 +7
9 + (-13) + 7
Answer:
9+-13+7 so the answer is the last one
Step-by-step explanation:
I've been staring at this for 15mins plz help
Answer:
answer is C because it is
m<1 = 4x + 15, and m<2 = 6x-5, what is m<1
Answer:
rvg g rtb rg gt ggw
Step-by-step explanation:
g wgrgr wrgf r
Show the work
20= n/4
Answer:
n = 80
Step-by-step explanation:
20= n/4
Multiply each side by 4
4 * 20 = n/4*4
80 = n
Answer:
n = 80
Step-by-step explanation:
Write it out: [tex]20 = \frac{n}{4}[/tex] Multiply each side by 4, so it now looks like this: 80 = nI hope this helps!
When might you need to measure an object’s radius?
Answer:
Finding the circumference?
Which of the following is a characteristic of Euclidean geometry?
A. No lines are straight.
B. The sum of the measures of the angles in a triangle is greater than 180 degrees.
C. The parallel postulate is true.
D. The sum of the measures of the angles in a triangle is less than 180 degrees.
Answer:
b
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
On a map the distance between Goffstown and Wilkstown is 5.5 cm.
The scale on the map is 1 cm
50 km.
Which is the actual distance between Goffstown and Wilkstown?
O A. 9.1 km
B. 10.5 km
O C. 55.5 km
D. 250.5 km
O E. 275 km
Answer:
275 km
Step-by-step explanation:
5.5 x 1 cm: 5.5 x 50 km
5.5 km : 275 km
If a leaf fell 140 meters in 4 minutes how many meters did it travel per minute?
Answer:
The leaf travels 35 meters per minute
Step-by-step explanation:
Given:
Distance = 140 meters
Time = 4 minutes
Speed = distance / time
Speed in meter per minute
Distance in meter
Time in minutes
Speed = distance / time
= 140 meters / 4 minutes
= 35 meters per minutes
Therefore,
The leaf travels 35 meters per minute