Answer:
The constant of proportionality is 7.87.
Step-by-step explanation:
The relation between x and y is given by the equation :
y = 7.87x
y is directly proportional to x i.e.
y ∝ x
To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of proportionality is 7.87.
a discount of 15% is given on all t-shirt how much less is paid on such a T-shirt which ordinary cost $85
Answer:
$72.25
Step-by-step explanation:
85 x 15/100
85 x 0.15= 12.75
85- 12.75=
72.25
A new section of the freeway will be 6 3/5 miles long. So far 1/6 of the new section has been completed. How many more miles must be built to complete the project?
The difference of the squares of two positive consecutive even integers is 52. Find the integers. Use the fact that, if x represents an even integer, then x + 2 represents the next consecutive even integer
Answer:
12 and 14
Step-by-step explanation:
Let x represents an even integer. Another positive consecutive even integer will be (x+2).
According to question,
The difference of the squares of two positive consecutive even integers is 52 i.e.
[tex](x+2)^2-x^2=52\\\\x^2+4+4x-x^2=52\\\\4+4x=52\\\\4x=52-4\\\\4x=48\\\\x=12[/tex]
First integer = 12
Another integer = 12+2 = 14
In the fall, you charge people $8 for going to their house to
rake leaves, then $5 for every hour you rake. If you make $38
one day, how many hours did you spend raking?
hours
Answer:
24 hours
Step-by-step explanation:
24 hours is in a day You have to read the answer and comprehend it
12 is 3 more than 7
True or False?
Answer:
false
Step-by-step explanation:
It is 5 more 7+3 is 10 and 5+7 is 12
Answer:
false
Step-by-step explanation:
false coz 12 is 5 more than 7 not 3
PLZ HELP
x-5(x-1) = x- (2x-3)
Answer:
Step-by-step explanation:
x-5(x-1) = x- (2x-3)
x + x *(-5) + (-1) * (-5) = x + 2x*(-1) + (-3)*(-1) {use distributive property}
x - 5x + 5 = x - 2x +3 {Combine like terms}
-4x + 5 = - x +3 {Add 'x' to both sides}
-4x + 5 + x = -x + x + 3
-3x + 5 = 3 {subtract 5 from both sides}
-3x = 3 - 5
-3x = -2 {Divide both sides by (-3)}
x = -2/-3
x = 2/3
13/16 - 1/4.¿ using 5th grade work
Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
Answer:
9/16
Step-by-step explanation:
1/4x4=4/16 13/16-4/16=9/16
The graph of f(x) = |xl is transformed to g(x) = |x+1|- 7. On which interval is the function decreasing?
O (-infinite,-7)
0 (-infinite,-1)
0 (- infinite,1)
O (-infinite ,7)
Answer:c
Step-by-step explanation:
Need help on this please any one
Holly shipped a 5-pound package for $4. She shipped a 3-pound package for $3.60 and a l-pound l package for $3.20. A 10-pound package cost $5 to ship. The cost follows a pattern based on the
weight. Which expression could be used
to find the shipping cost for a package
of p pounds?
Answer:
the answer would be A
Step-by-step explanation:
The cost seems to start at 3 and increase by each pound times .20 cents. Ex: 1 x .20 =.20 + 3 =3.20
Here is some information about the goals scored in some hockey games.
I need to respond questions B and C
Answer:
c=10
Step-by-step explanation:
If a 60-page magazine cost $1.20 to print, find the cost per page to print?
Answer:
2 cents per page
Step-by-step explanation:
1.2/60 = 0.02 dollars
==> 2 cents
6. Y(3.5, 1), Z(-4, 2.5)
Please help
Answer:
Answer given below
Step-by-step explanation:
5. Root 104 = 10.1
10.1 x 0.5 = 5.05 miles
How does 17- (-15) compare to 17-0
It is due there is 5 minutes please complete this. I will give brainlest, and extra points just complete this please
Write an equation that relates the number of peppers, n, and the
cost, C.
Complete Question:
The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the cost, C.
Answer:
[tex]C = 0.45n[/tex]
Step-by-step explanation:
Given
[tex]5\ peppers = \$2.25[/tex]
Required
Determine the relationship between C and n
[tex]5\ peppers = \$2.25[/tex]
Divide both sides by 5, to get the cost of 1 pepper
[tex]\frac{5\ peppers}{5} = \frac{\$2.25}{5}[/tex]
[tex]1\ pepper = \frac{\$2.25}{5}[/tex]
[tex]1\ pepper = \$0.45[/tex]
Multiply both sides by n to get the cost of n pepper
[tex]n*1\ pepper = \$0.45*n[/tex]
[tex]n\ pepper = \$0.45n[/tex]
So, we have:
[tex]C = 0.45n[/tex]
find the equation of a straight line passing through the point (1,2) and making an intercept of 3 on the positive y-axis.
A company charges $60 per day plus $0.50
per mile for truck rentals. If Greg rents a
truck for 3 days and drives it a total of 150
miles, what will the company charge?
Answer:
$225
Step-by-step explanation:
$60 ×3=$180
150 ×$0.50 = $75
$180+ $75= $225
the company will charge $225
A town doubles its size every 70 years. If the population is currently 3,000, what will the population be in 140 years?
Answer:
12000
Step-by-step explanation:
3000x2^(140/70)
HELLPPP NEED TO DO THIS BEFORE 7:00
Answer:
7
Step-by-step explanation:
it's just 4 2/3 divided by 2/3, right?
-4x-2y=-10
3x+y=4
Using substitution
Let get x from the first equation
-4x=+2y-10
x=-1/2y + 5/2
Now substitute the x in the second equation
3(-1/2y+5/2)+y=4
-3/2y + 15/2 + y =4
Move the terms without the y to the other side
-3/2y + y = -15/2 +4
Now multiple both side by 2
-3y +2y = -15+8
-y = -7
Y = 7 (ANSWER)
Now we substitute the y in the first equation so we can get the x
x = -1/2 (7) + 5/2
x = -7/2 + 5/2
x = -2/2
X = -1 (SECOND ANSWER)
y + 1 = -4(x + 1)
Graph the equation
Answer:
-4x-5
Step-by-step explanation:
sorry I can't get the graph
Answer:
Step-by-step explanation:
y = -4x-5
Barbara needed 3 and 1/4 cups of flour for her recipe. If she measured 1/4 cup at a time, how many times did she have to fill the measuring cup?
Answer:
3/4
Step-by-step explanation:
Which investment would make you the most interest? Explain.
A: $450 at 7% for 10 years
B: $1,300 at 5% for 6 years
Rob is making a pizza the radius of the pizza is 21 inches what is the circumference of the pizza using 3.14 rounded to the nearest tenth
Answer:
131.9Step-by-step explanation:
C = 2πr
using 3.14 for π, we get C = 2(3.14)(21)
C = 2(65.94)
C = 131.88 or about 131.9
que es funcion.?????????¿
Answer:
es cuando una cosa esta trabajando como una computadora cuando esta encendida esta funcionando
Can someone help me? I'd appreciate it
a ant traveled 8 meters in 10 minutes. How many minutes did it take him to travel one meter?
Answer:
1 1/4 minutes of 75 seconds
Step-by-step explanation:
10/8 = 5/4 = 1 1/4
Which point(s) on the diagram show(s) the solution(s) to the equation x = x2 - 2x - 8?
solution 1
solution 2
Answer:here is the answer on yt
Step-by-step explanation:
https://youtu.be/dQw4w9WgXcQ
Factor by grouping 8y3–4y2–14y+7
Answer:
[tex](2y - 1)( {4y}^{2} - 7)[/tex]
Step-by-step explanation:
1) Factor out common terms in the first two terms, then in the last two terms.
[tex] {4y}^{2} (2y - 1) - 7(2y - 1)[/tex]
2) Factor out the common term 2y - 1.
[tex](2y - 1)( {4y}^{2} - 7)[/tex]
Therefor the answer is, ( 2y - 1 ) ( 4y² - 7 ).
Answer:
[tex] \huge \boxed{ \boxed{ \red{ \sf (4 {y}^{ {2} } - 7)(2x - 1)}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:factoringPEMDASgiven:[tex] \sf 8 {y}^{3} - 4 {y}^{2} - 14y + 7[/tex]to do:factoringtips and formulas:how to factor
factor out common constants and termsgrouplet's do:[tex] step - 1 : define \\ \sf{8y}^{3} - {4y}^{2} - 14y + 7[/tex]
[tex] step - 2 : solve[/tex]
[tex] \sf factor \: - 7 \: and \: 4 {y}^{2} \: from \: the \: expression : \\ \sf 4 {y}^{ {2} } (2y -1 ) - 7(2y - 1)[/tex][tex] \sf \: group : \\ \sf (4 {y}^{ {2} } - 7)(2x - 1)[/tex]Suppose that 60% of students live in AnyTown. Find the probability that:
Round to three decimals.
A) Exactly 5 out of 10 randomly chosen students live in AnyTown
B) More than 5 students out of 10 live in AnyTown
C) The first AnyTown resident you find is the 5th person you ask
Answer:
Step-by-step explanation:
A.
5 chose 10 = 10*9*8*7*6/1/2/3/4/5 = 252
252 * (0.6)^5 * (0.4)^5 = 0.201
B.
6C10 * (0.6)^6 * (0.4)^4 + ... 10C10(0.6)^10 = 0.633
C.
(0.4)^4*0.6 = 0.015
