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
Answers
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
Related Questions
Given f(x) = | – 5 – 4x| ,find the following:
f(- 10) =
f(-11) =
f(12) =
f(2)=
Answers
Answer:
[tex]f(10) = 35 \\ \\ f( - 11) = 39 \\ \\ f(12) = 53 \\ \\ f(2) = 13[/tex]
Step-by-step explanation:
[tex] f(x) = | - 5 - 4x| [/tex]
To solve for the following substitute the value of x in the brackets into the above formula and solve for the value of x
NB: Absolute value of a negative number is the same number but positive.
So we have
[tex]f( - 10) = | - 5 - 4( - 10)| \\ = | - 5 + 40| = 35 \\ \\ f( - 11) = | - 5 - 4( - 11)| \\ = | - 5 + 44| = 39 \\ \\ f(12) = | - 5 - 4(12)| \\ = | - 5 - 48| \\ = | - 53| = 53 \\ \\ f(2) = | - 5 - 4(2)| \\ = | - 5 - 8| = | - 13| \\ = 13[/tex]
Hope this helps you
Answer:
f(-10)=35
f(-11)=39
f(12)=53
f(2)=13
plz put brainliest
Solve 2(x + 1) + 4 = 8
Answers
Answer: X=1
Step-by-step explanation:
2( x+1) +4=8
2x+2+4=8
2x+6=8
2x=8-6
2x=2
Divide both sides by 2
x=1
~~~~Inuola1234
lmk if you need me to explain further
Answer:
x=1
Step-by-step explanation:
Simplify the expression.
3 +22= 2 + 3
Answers
Hey there!
ANSWER: [tex]25=5[/tex]EXPLANATION:[tex]3+22=2+3[/tex]
So let's first add 3 + 22.
[tex]3+22=25[/tex]
Now we have to add 2 + 3.
[tex]2+3=5[/tex]
So that means the answer to this is:
[tex]25=5[/tex]
This is false because [tex]25[/tex] is not equal to [tex]5[/tex].
Hope this helps!
[tex]-TestedHyperr[/tex]
How do you turn fractions into decimals
Answers
Answer:
you divide the numerator by the denominator
Step-by-step explanation:
how many solutions does 6(x + 2) = 5(x + 7) have
Answers
What is the the simplified form of the following expression? 5(t-1)
A t + (-5)
B 6t
C 5t + (-5)
D 5t + (-1)
Answers
5(t-1), we multiply 5 by t first to get 5t
then, multiply 5 by -1 to get -5.
hence, 5(t-1) = 5t-5, which is equal to 5t + (-5).
so your answer is C
Please help me! I don’t get these
Answers
Answer:
search it up
Step-by-step explanation:
Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan A according to the number of minutes used is shown in the table. Monthly Charge for Plan A Minutes used, x Monthly charge ($), y 0 14.45 3 14.84 6 15.23 9 15.62 12 16.01 Plan B has the same monthly base charge as plan A, but it charges a different amount per minute used. If the total monthly charge for plan B is $22.10 when 45 minutes are used, what is the slope of the linear function that represents the cost of plan B?
Answers
Answer:
B
Step-by-step explanation:
The slope of the linear function for plan B is of $0.17.
---------------------------
A linear function has an equation in the following format:
[tex]y = mx + b[/tex]
In which
m is the slope, which is the rate of change, measuring how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.---------------------------
Plan B has the same monthly base charge as plan A, that is, from the table, when [tex]x = 0, y = 14.45[/tex], and thus, (0, 14.45) is one of the points of the function.The monthly charge for 45 minutes is of $22.10, thus, another point is (45, 22.10).Given two points, the slope is given by the change in y divided by the change in x. Thus:[tex]m = \frac{22.1 - 14.45}{45 - 0} = 0.17[/tex]
The slope is of $0.17.
A similar problem is given at https://brainly.com/question/16302622
what is the first step of 2x - 6 = 10
Answers
Answer: you would add 6 to 10
Step-by-step explanation: you’re trying to isolate the x so you add 6 to the other side
Given Ax) = 5x^6what is the domain?
0 5
O XC0
O XC0
O all real numbers
Answers
Answer: a= 5o3x606 / 2.718282ginv
Step-by-step explanation:giv(2.718282)nax=5x605oxc0oxc0o
Step 1: Divide both sides by 2.718282ginvx.
2.718282aginvx
2.718282ginvx
=
5o3x607
2.718282ginvx
a=
5o3x606
2.718282ginv
Answer:
all real numbers
part two is y is greater than or equal to 0
Step-by-step explanation:
correct on edge
-3(1 + 6r) = 14-r
Solve for r
Answers
Answer:
1
Step-by-step explanation:
-3(1+6r)=14-r
use distributive property
-3(1)+(-3)(6r)=14-r
-3+18r=14-r
r+18r=14+3
19r=17
divide both sides by 19
0.89473684210526
round to the nearest whole #
1
what are the domain and range of the function f(x)=2^x+1?
Answers
Answer:
Step-by-step explanation:
R(9, 7) and S(3,9) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
M=
Answers
Answer:
MP=(6,8)
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{9+3}{2} )(\frac{7+9}{2})\\MP= (\frac{12}{2} )(\frac{16}{2} )\\MP= (6,8)[/tex]
An apartment building has a parking lot with 12 parking spaces for tenants. At 6 a.m., all 12 spaces were full. At 8 a.m., the number of cars in the lot had decreased by 4. By 9 a.m., there were no cars left in the lot. Use the number line to show each change in the number of cars in the parking lot. What integer represents the change in the number of cars between 8 a.m. and 9 a.m.?
Answers
Answer:
...80u9
Step-by-step explanation:
Find the value of x.
to
33°
38
Answers
This triangle is 180
So now you add together 33 and 38
Subtract 180 and the total you got from 33 and 38 (it’s 71)
Now you found the total of X- 109 degrees
Hope this helped love, Have a nice day or night! :)
Are vertical angles always complementary?
Answers
Answer:
1 Answer. Complementary angles are those that sum up to 90o . Vertical angles have equal measures. Therefore, if vertical angles measure 45o each, they are complementary
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Complementary angles are those that sum up to 90o . Vertical angles have equal measures. Therefore, if vertical angles measure 45o each, they are complementary.
can’t move on until this question is answered help :((
Function m is a transformation of the parent quadratic function f(x)=x^2
m(x)=x^2 +5
which statement is true?
A. Function F was translated 5 units down to create function M
B. Function F was translated 5 units left to create function M
C. Function F was translated 5 units up to create function M
D. Function F was translated 5 units right to create function M
Answers
Answer:
C. Function F was translated 5 units up to create function M
Answer:
its C.function f was translated 5 units up to create function m
x/42=15/7? proportion
Answers
Answer: x=90
Step-by-step explanation: Okay let's see! Let's solve your equation step-by-step.
x
42
=
15
7
Step 1: Cross-multiply.
x
42
=
15
7
x*(7)=(15)*(42)
7x=630
Step 2: Divide both sides by 7.
7x
7
=
630
7
x=90
Answer:
x = 90
Step-by-step explanation:
7x = 42 * 15 = 630
x = 630/7
x = 90
The perimeter of a regular pentagon is 41.5 cm. Write and solve an equation to determine the length of each side of the pentagon.
Answers
Answer:
41.5÷5= the answer 8.3 cm
Perform the indicated row operations:
-10r2 r2 3r3
[2 -1 -4|7] [0 3 -2|5] [0 10 8|2]
Answers
Answer:
Second one is -30, 20, -50
Third one is 30, 24, 6
Step-by-step explanation:
Answer:
-30,20,-50
30,24,6
R2+R3-R3
0,44,-44
Step-by-step explanation:
i just did it thats the answers to all of the question after the first question too
100+12+12+12+12+12+12=
Answers
Answer:
172
Step-by-step explanation:
100+12+12+12+12+12+12=
= 100 + 6(12)
= 172
Answer:
172
Step-by-step explanation:
The simple way to do this, would be to note that there are six pairs of twelve
this means that in those six pairs there are 72 ones
so what is 100+72?
172
If you wanted to check, you could do
100+12
112+12
124+12
136+12
148+12
160+12
172
f(x) = 10x - 7 what is f (0)
Answers
f(0)=10(0)-7
f(0)=(0)-7
f(0)=-7
I havvevee3 no idea what the answer isss HELP MEEEEEEEEEEEEEEEE
Answers
Good luck on the homework
Kirk finds a dog leash with a price tag of $24 at a pet store.
The leash is 10% off the original price. He must also pay 6%
sales tax. What is the total cost of the leash?
Select one:
00)
$22.90
O.
o
1)
$24.82
O
$21.60
$25,44
Answers
Solve using proportions.
Subtract when taking off money to the price.
And Add when adding more to the price
The total cost of the leash will be $22.90. The correct option is A.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Kirk finds a dog leash with a price tag of $24 at a pet store. The leash is 10% off the original price. He must also pay 6% sales tax.
The cost after 10% off is:-
Cost = 24 - 24 x ( 10 / 100 )
Cost = 24 - 2.4
Cost = 21.6
Total cost after 6% sales tax = 21.6 + ( 21.6 x 0.06)
Total cost after 6% sales tax = 21.6 + 1.296 = $22.9
Therefore, the total cost of the leash will be $22.90. The correct option is A.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
Find the coordinates of the midpoint of RS if R(-8,-3) and S(2,7) (-3,-2) (2,-3) (3,-2) (-3,2)
Answers
Answer:
Step-by-step explanation:
(-8+2)/2= -6/2 = -3
(-3+7)/2= 4/2 = 2
(-3, 2) midpoint
What is the value of x 2/3-1=11.
Answers
Answer:
18
Step-by-step explanation:
RS bisects TU at Q. If TQ=5k-9 and QU=15-x
Answers
Answer:
x = 4, TU = 22
Step-by-step explanation:
Given that TS bisects TU at Q , then
TQ = QU , substitute values
5x - 9 = 15 - x ( add x to both sides )
6x - 9 = 15 ( add 9 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
Thus
TU = 5x - 9 + 15 - x = 4x + 6 = 4(4) + 6 = 16 + 6 = 22
is this a right triangle?
Answers
The only way to really tell is to check it with the Pythagorean Theorem.
The Pythagorean Theorem describes every right triangle, and every triangle that fits the Pythagorean Theorem has a right angle in it. Guaranteed. This is incredibly handy.
If this IS a right triangle, then
(one leg squared) + (the other leg squared) = (the hypotenuse squared) .
Let's check it out:
-- One leg squared = (11 cm)² . That's 121 cm² .
-- The other leg squared = (√99 cm)² . That's 99 cm² .
-- Their sum is (121 + 99) cm² . That's 220 cm² .
-- The hypotenuse squared is (15 cm)² . That's 225 cm² .
Is 220 cm² equal to 225 cm² ?
NO ! They are not equal. They are different !
The sum of the squares of the legs is NOT equal to the square of the hippopotamus.
==> This triangle does NOT fit the Pythagorean Theorem.
==> It is NOT a right triangle.
(The angle in the bottom corner is slightly bigger than 90°. But you can't tell by looking at it. It's so close that you can only tell by checkoing the lengths againt the Pythagorean Theorem.)
Pls halp due today >_<. Thank you
Answers
Answer:
12 and 13
Step-by-step explanation:
12•12=144
And
13•13=169... but there is no whole number in between can equal 150
And btw is that big ideas bc I used to use that lol... Hope this helps!!
What is the slope of the line 4x – 2y = 5?
Answers
Answer:
y =2 x − 5/ 2
