As table shows a proportional relationship between x and y then constant of proportionality are 20, 40, 0.2 and 20 respectively
In the first table, the constant of proportionality is 20 because each value of y is obtained by multiplying the corresponding value of x by 20.
In the second table, the constant of proportionality is 40 because each value of y is obtained by multiplying the corresponding value of x by 40.
In the third table, the constant of proportionality is 0.2 because each value of y is obtained by multiplying the corresponding value of x by 0.2.
In the fourth table, the constant of proportionality is 20 because each value of y is obtained by multiplying the corresponding value of x by 20.
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It is recommended that backpackers should carry no more than 20% of their body weight on long hikes and no more than 10% of their body weight on short hikes.
Part A
A hiker who weighs 160 pounds is planning a long hike. The weight of their backpack when packed with essential equipment is 15 pounds. Write an inequality to show how many pounds, p, the hiker can still add to their backpack and stay within the recommended weight.
Part B
A hiker who weighs 180 pounds is planning a day hike. The weight of their backpack when packed with essential equipment is 7.5 pounds. How much weight can the hiker still add to their backpack and stay within the recommended weight?
Place an X in the table to show whether each weight is within recommendation or not.
Within Recommendation Not Within Recommendation
9.25 pounds
15.75 pounds
29.5 pounds
Answer:
Step-by-step explanation:
9.25 pounds
Debbie is making a Halloween costume for her daughter and needs 4 3/8 yards of gold trim and 3 7/8 yards of pink trim. If the trim costs $2 a yard, how much will she spend?
Answer:17.5 $
Step-by-step explanation:
3 7/8+4 3/8 *2
Help me for 19 points please thank you
Answer:
Step-by-step explanation:
I hope you dont have to show your work because I am not showing how you do all of those aha.
part 1:
1. p=72, a= 612
2. p=194, a= 32.5
3. p=300, a= 1500
4. p=221, a= 35
and um... I dont know how to do part two. sorry
please help asappppp
Answer:
5 inches
Step-by-step explanation:
hypotenuse (h)=13
perpendicular (p)=12
base(b)=√h^2-b^2
=√169-144
=√25
=5
4 3/8 ÷ 1 3/8 = answer asap and correct
Answer:
3 2/11
Step-by-step explanation:
4 3/8 = 4 + 3/8 = 32/8 + 3/8 = 35/8
1 3/8 = 1 + 3/8 = 8/8 + 3/8 = 11/8
then:
4 3/8 ÷ 1 3/8 = (35/8) / (11/8) = 35/11
35/11 = 33/11 + 2/11 = 3 2/11
Answer:
[tex]4 \frac{3}{8} \div 1 \frac{3}{8} = \frac{35}{8} \div \frac{11}{8} = \frac{35}{8} \times \frac{8}{11} = \boxed{\frac{35}{11} }[/tex]
35/11 is the right answer.How do you solve fore x/3 - x/5 = 2
Solve for y:
-6+ 2y =12
Answer:
9
Step-by-step explanation:
-6+2y=12
+6 +6
2y=18
2 2
9
Simplify the expression
2y + y + gy.
Need hellllp plss
Answer:
3 y + g y
Step-by-step explanation:
You plan to purchase items for $4000 and will finance the cost with a fixed installment. The seller tells you that you will have to pay $100 per month for 48 months. (a) how much money will you pay for interest (ie the finance charge) (b) what is the interest percent rate? (c) If this loan is for 48 months, what should T be (in years)? Would you plug that into your equation
Answer:
800 ; 20% ; 4 years
Step-by-step explanation:
Actual price of item = $4000
Total amount paid in installment = ($100 * 48) = $4800
Finance charge = total amount paid in installment - actual price
Finance charge = $4800 - $4000 = $800
B) Interest percent rate, r :
r% of 4000 = 800
0.01r * 4000 = 800
40r = 800
r = 800/40
r = 20
r = 20%
C.)
Time in years ; for 48 months
T = 48/12 ; T = 4 years
Good morning can u help???
Answer:
Select the proportional relationship.
That is the only thing that is in the checkbox. It won't let you continue unless you get something.
The temperature changed from 8 degrees to 3 degrees. How much did the temperature change by?
Answer:
Step-by-step explanation:
5degrees
Simply please will give brainlist to first correct answer
Write and equati9n of a l8ne that passes through (1,-2) and is perpendicular to -4x+7y=21
Given:
A line passes through (1,-2) and is perpendicular to [tex]-4x+7y=21[/tex].
To find:
The equation of that line.
Solution:
We have, equation of perpendicular line.
[tex]-4x+7y=21[/tex]
Slope of this line is
[tex]m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}[/tex]
[tex]m_1=-\dfrac{-4}{7}[/tex]
[tex]m_1=\dfrac{4}{7}[/tex]
Product of slope of two perpendicular lines is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]\dfrac{4}{7}\times m_2=-1[/tex]
[tex]m_2=-\dfrac{7}{4}[/tex]
Now, slope of required line is [tex]-\dfrac{7}{4}[/tex] and it passes through (1,-2). So, the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
[tex]y-(-2)=-\dfrac{7}{4}(x-1)[/tex]
[tex]4(y+2)=-7(x-1)[/tex]
[tex]4y+8=-7x+7[/tex]
[tex]4y+7x=7-8[/tex]
[tex]7x+4y=-1[/tex]
Therefore, the equation of required line is [tex]7x+4y=-1[/tex].
What is y - 1 when y = 4?
A: 3
B: 2
C: 1
D: 0
PLZ HELP!
Answer:
A:3
Step-by-step explanation:
replace y by 4..so it would be 4-1=3
Given the parent function f(x) = 2x, which graph shows f(x) + 1?
exponential function going through point 0, 2 and ending up on the right
exponential function going through point 0, 0 and ending down on the right
exponential function going through point 0, 0 and ending up on the right
exponential function going through point 0, 1.5 and ending up on the right
Answer:
Step-by-step explanation:
Please give me the correct answer
Answer:
It's not a right triangle because [tex]16^{2} + 18^{2} > 24^{2}[/tex]
Step-by-step explanation:
[tex]16^{2} + 18^{2} > 24^{2}[/tex]
[tex]16^{2} = 256\\\\18^{2} = 324\\\\256 + 324 = 580\\\\580>24^{2} \\\\24^{2} = 576\\\\580>576[/tex]
Hope this helped!!!!!
Mama dbdjd d did f dbjdbf ddbdnd
Answer:
ah yes mama
Step-by-step explanation:
Answer:
honestly same
Step-by-step explanation:
help me asap please, very much appreciated :)
Answer:
155°
Step-by-step explanation:
x + 25° = 180° {Being linear pair }
x = 180° - 25°
Therefore x = 155°
Hope it will help :)
Answer:
155⁰
Step-by-step explanation:
Total angle on a straight line = 180⁰
: 25⁰ + x⁰ = 180⁰
x⁰ = 180⁰ - 25⁰
x⁰ = 155⁰
Find the slope of the line that passes through the following points. (-5, -2) (5, 2)
2/5
5/2
10/4
2 1/2
Answer:
The slope is 2/5
Step-by-step explanation:
Calculating the Slope of a Line
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-5, -2) (5, 2). Let's compute the slope:
[tex]\displaystyle m=\frac{2-(-2)}{5-(-5)}[/tex]
[tex]\displaystyle m=\frac{4}{10}[/tex]
Simplifying:
[tex]\displaystyle m=\frac{2}{5}[/tex]
The slope is 2/5
Time
5 veares
Find the simple interest when
i) Principal = 22000, Rate of interest = 5% time = 5years
Answer: Simple interest = $5,500
Step-by-step explanation:
Interest formula:
I = prt
Convert 5% to 0.05
I = 22,000 × 0.05 × 5 = 5,500
I = $5,500.00
Use the distributive property to write an equivalent expression 3(9h + 4)
The simplified version of 3(9h + 4) is 27h + 12 because you are multiplying 3 and 9h to get 27h, and 4 and 3 to get 12
Hope this helped! :D
Answer:
27h + 12
Step-by-step explanation:
The simplified version of 3(9h + 4) is 27h + 12 because you are multiplying 3 and 9h to get 27h, and 4 and 3 to get 12
Graph y=-2x+5y=−2x+5y, equals, minus, 2, x, plus, 5.
Answer:
Please check the graph of the function y=-2x+5 attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the function
[tex]y=-2x+5[/tex]
comparing with the slope-intercept form of the line equation
The slope m = -2
The y-intercept b = 5
The graph of y=-2x+5 is attached below.
Determining the y-intercept from the graph
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
Please check the graph of the function y=-2x+5 attached below.
A grocery store manger is ordering eggs. She orders a box of eggs with 5 trays. Each tray has 6 packs of y eggs each. How many eggs are in the box?
Answer:
30 eggs
Step-by-step explanation:
multiply 5 times 6
is my answer correct?
Answer:
not at all
Step-by-step explanation:
Find the sum by first finding the equivalent fractions so that both of the fractions have common denominators. Three eighths plus seven sixteenths equals blank thirteen sixteenths ten twenty fourths ten sixteenths four sixteenths
Answer:
thirteen sixteenths
Step-by-step explanation:
Three eighths plus seven sixteenths equals blank
3/8 + 7/16 = ?
= (2*3)+(1*7)/16
= (6+7)/16
= 13/16
13/16 is equivalent to thirteen sixteenths
is it an linear or exponential function
Answer:
a i think but im not sure
Step-by-step explanation:
I noticed there is only one answer for this question and the answer was..incorrect. Therefore can someone answer this for me?
y=2x+9
y=4x-3
..............................
x=-9/2
x=-3/4
x = 6
y = 21
Step-by-step explanation:y = 2x + 9
y = 4x - 3
2x + 9 = 4x - 3
• Get the like-terms together:
9 + 3 = 4x - 2x
12 = 2x
• Divide 2x and 12 by 2 (to get x by itself):
12 ÷ 2 = 2x ÷ 2
6 = x OR x = 6
• To find the value of y, we have to substitute x into one of the equations (it doesn't matter which equation you plug x into, if the value of x is correct, both will equal the same number):
y = 2(6) + 9
y = 12 + 9
y = 21
y = 4(6) - 3
y = 24 - 3
y = 21
Please mark me the Brainliest!?!
PLS PLS PLS HELP Honors 9th Grade Math!!!!
Answer:
21=x ( alternate angles are equal)
y= -3x+10 y= -2x+6 what is x and y
Answer:
(4,-2)
Step-by-step explanation:
you could use substitution and all that, but i use desmos
Consecutive/Same-Side Exterior Angles
Answer
Alternate Interior Angles
Answer
Alternate Exterior Angles
Answer
None of these
Answer
Consecutive/Same-Side Interior Angles
Answer
Corresponding Angles
Answer