Answers
Answer:
Sergio will buy the kayak first in 33.33 weeks.
Step-by-step explanation:
Sergio's per week savings = $24
Let the period of the savings = x
Then total savings of Sergio in x weeks = $24x
If y represents the total amount,
y = 24x ------(1)
Table given in the picture represents the savings of Lia.
If the points given in the table are plotted on graph, a straight line is formed.
Let the equation of the line is,
y = mx + b
m = Slope of line
b = y-intercept
Slope of the line = Savings per week
= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
For two points (4, 72) and (8, 144) lying on the straight line,
Slope 'm' = [tex]\frac{144-72}{8-4}[/tex]
= [tex]\frac{72}{4}[/tex]
= 18
Equation of the line will be,
y = 18x + b
Since, (12, 216) also lies on the line,
216 = 18(12) + b
b = 216 - 216
b = 0
Therefore, equation of the line will be,
y = 18x -----(2)
Cost of kayak = $800
For Lia's savings,
800 = 18x
18x = 800
x = 44.44 weeks
For Sergio,
800 = 24x
x = 33.33 weeks
Therefore, Sergio will be able to buy the kayak first and it will take 33.33 weeks to purchase.
Related Questions
What is 3.45 divided by 1.5
Answers
Answer:
2.3
Step-by-step explanation:
<3
Answer:
The answer is 2.3.
6 to the 2 power −2(5+1+3)
Answers
Answer:
18
Step-by-step explanation:
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of people 13 took the trip. She was able to purchase coach tickets for $390 and first class tickets for $1000. She used her total budget for airfare for the trip, which was $8120. How many first class tickets did she buy? How many coach tickets did she buy?
Answers
Answer:
x = 6
Step-by-step explanation:
Coach ticket = $180
first class ticket = $1020
people = 8
Let x be number of coach tickets
Then number of first class tickets = (8 - x)
x * 180 + (8 - x) * 1020 = 3120
180 X + 8 * 1020 - 1020 x = 3120
180 x + 8160 - 1020 x = 3120
180 x - 1020 x = 3120 -8160
- 840 x = - 5040
840 x = 5040
x = 6
So 6 coach class tickets and 2 first class tickets
Answer:
She bought 8 coach tickets
And 5 first class tickets
Step-by-step explanation:
390 x 8 = 3,120
1000 x 5 = 5,000
3,120 + 5,000 = 8,120
B. Noah writes the equation 3 (x+7)=57 to represent the situation. DO YOU agree with him? Explain your answer.
Answers
Answer:
Yes , i agree with Noah that the equation would be 3(x + 7) = 57
Step-by-step explanation:
P.S - The exact question is -
To find - Noah writes the equation 3 (x+7)=57 to represent the situation.
DO YOU agree with him? Explain your answer.
Proof -
Yes , i agree with Noah
Because in the figure we can see that there is x written 3 times and 7 written 3 time and whole the values is equal to 57 .
Because 57 is divided into x 7 x 7 x 7
∴ we can write it as
3 times x + 3 times 7 = 57
⇒3(x) + 3(7) = 57
⇒3(x+7) = 57
Ans Noah give the same equation 3 (x+7)=57
So, I agree with Noah.
how to isolate the variable in the equation -2/3n + 7 = 15 lesson 6-2
Answers
Answer:
n=-4/3
Step-by-step explanation:
So the equation is -2/3n+7=15
First you subtract 7 from both sides: -2/3n+7-7=15-7 : -2/3n=8
Next multiply by 1/-2 on both sides, canceling out the -2 on the left and dividing 8 by -2 on the right: 3n=-4
Next divide by 3 on both sides
Answer: n=-4/3
si para lavar un inodoro de 6 litros de capacidad, se utilizan 20 litros de agua.¿Como representarías el consumo total de de agua(descargas elevado)del inodoro, asumiendo que es lavado solamente en una ocasión?
Answers
Responder:
26 litros
Explicación paso a paso:
Dado lo siguiente
Litros totales de agua utilizados = 20 litros
El inodoro en sí contiene 6 litros de agua.
Agua total consumida = litro de agua utilizada + agua contenida en el inodoro
Agua total consumida = 20 litros + 6 litros
Agua total consumida = 26 litros
Por lo tanto, el consumo total de agua del inodoro, asumiendo que se descarga una sola vez, es de 26 litros
A man intends to withdraw $ 24,000.00 from his savings at the end of 5 years. The man deposits $ 1,500.00 in savings annually and today has a balance of $ 8,000.00. What should be the savings interest rate for Nobuki to achieve his goals?
Answers
Answer:
3%
Step-by-step explanation:
Given data
FInal amount A= $24,000
Time= 5 years
Principal= $1,500
Say we the savings is on simple interest
A= P(1+rt)
substitute
24000=1500(1+r*5)
24000= 1500+ 7500r
24000-1500= 7500r
22500= 7500r
r= 22500/7500
r= 3%
Hence, on a simple interest account, the rate is 3%
Help! please show some sort of proof! thanks xo
ive asked this question 3 times please someone help its already late.
Answers
Answer:
I think it is B I am sorry if wrong
Please answer this
will mark brianlest
Answers
Answer:
t = 3s
Step-by-step explanation:
The equation t = 3s can be used to calculate the total cost.
Reflect (-3,-8) across the y-axis. Explain.....
Answers
Answer:
(3, - 8 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
(- 3, - 8 ) → (3, - 8 )
What is the answer??
Answers
Answer:
multiply both sides of the equation by 3
Step-by-step explanation:
When your trying to solve for a variable, do steps where you are isolating that variable.
In the equation given, to isolate b, get rid of the division first and we can do that through multiplication.
Out of the 4,500 people who attend the rock concert, forty-six percent purchase a T-shirt. How many people buy T-shirts?
Answers
The number of people that bought T-shirt is 2070 people
What is percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"
To find the percentage of those that bought the T-shirt
We find 45% of 4,500
45/100 * 4500
2070
Hence, 2070 people out of the 4,500 people who attend the rock concert bought the T-shirt
Learn more about percentage at:https://brainly.com/question/24304697
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35 POINTS!! ANSWER THIS FOR ME PLS
Answers
Answer:
A. Graphs 1 and 2Step-by-step explanation:
The first graph has domain x = 0 to 5The second graph has domain x = 0 to 5The third graph has domain x = 0 to 7As we see graphs 1 and 2 have same domain.
Correct choice is A
what is the minimum value of y=3x^2−18x+15
Answers
The quadratic [tex]y=3x^2-18x+15[/tex] has a minimum value and The minimum value is at (3, 2) that is -12.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given the quadratic function:
[tex]y=3x^2-18x+15[/tex]
In this case, a = 3, b = -18, and c = 15.
Thus, the x-coordinate of the vertex is:
[tex]x =-\dfrac{-18}{2(3)} \\\\x =-\dfrac{-18}{6} \\\\x = 3[/tex]
The minimum is the vertex of the quadratic.
The vertex is given by:
[tex](\dfrac{-b}{2a} ,f(\dfrac{-b}{2a}))[/tex]
And the minimum value is:
[tex]y=3(3)^2-18(3)+15\\\\y = -12[/tex]
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HELP!!! i need an answer quick
Answers
Answer:
14 that's the answer I think so hope its it
jason goes to the sandwich shop for lunch the prices for sandwiches are listed below
peanut butter and jelly $1.75
meatball $2.50
ham and cheese $2.25
what number completes the sentence 3m = ?
Answers
Can someone plz help me with this one problem plz!!!
Answers
Answer:
the y values in order are: 2,7,12,17
Step-by-step explanation:
Answer: They are 2, 7, 12, and 17
Step-by-step explanation:
5x2-8= 2
5x3-8= 7
5x4-8= 12
5x5-8= 17
The sum of the squares of two consecutive even integers is 1684. What are the integers?
Answers
Answer:
Step-by-step explanation:
Let the 2 consecutive integers be x and x+1.
x²+(x+1)²=1684
x²+(x+1)(x+1)=1684
x²+x²+x+x+1=1684
2x²+2x-1683=0
Using quadratic formular
HELP ME PLZZZ ASAP!
Factor to create an equivalent expression: 36a-16 .
Answers
Answer:
4(9a - 4)
Step-by-step explanation:
Answer:
4(9a - 4)
Step-by-step explanation:
Given
36a - 16 ← factor out 4 from each term
= 4(9a - 4)
shhshshshwhswhhshshsshh
Answers
Answer:
(4x+1)(x+3)
Step-by-step explanation:
brainliest please!!
Please show all work, Hurry. Thank you
What is the solution of the equation? 1 + √ 3 x + 3 = √ 7 x + 2
Answers
Answer:
x equals 2 so two is the right anwer
Answer:
X equal to 2 your answer is ready
Which of these choices show a pair of equivalent expressions? Check all that
apply.
A. 89/2 and ( 18 )
B. 121/7 and (172)
C. (2/125) and 1253/7
D. 45/2 and (1)
Answers
Step-by-step explanation:
I think it's B, if you are missing a decimal point and the second term is 17.2 and not 172. otherwise none are equivalent
Answer:
D. 45/2 and (1)
A. 89/2 and ( 18 )
Step-by-step explanation:
ap3x
On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (negative 5, 8), has a vertex at (negative 3, 4), and goes through (negative 1, 8).
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?
left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4
Answers
Look at the lowest point of the line ( the bottom of the u)
On f(x) the u is at the point (0,0)
On g(x) the u is at point ( -3,4)
This means it shifted to the left 3 units and up 4 units.
The answer is left 3, up 4
Answer:
A. left 3, up 4
Step-by-step explanation:
pls tell me if 70/100 is great in maths
Answers
Answer:
Not the greatest.
Step-by-step explanation:
Not the greatest, but I would call it a good score.
15x-7y=-49 standard form to slope-intercept form
Answers
Answer:
y= \frac{15}{7}x + 7
not sure if that will work so
y = 15x/7x + 7
Step-by-step explanation:
In parallelogram ABCD, if m angle C= 110° and m angle D - 70°, what is the sum of the measures of LA and 28?
409
909
180°
360°
Answers
Answer:
180°
Step-by-step explanation:
ABCD is a parallelogram.
Measures of the opposite angles of a parallelogram are equal. Here [tex] \angle A, \:\: \angle C \: \: and\:\: \angle B, \:\: \angle D[/tex] are opposite angles.
[tex] \therefore m\angle A = m\angle C = 110\degree [/tex]
[tex] \& \:m\angle B = m\angle D = 70\degree [/tex]
[tex] m\angle A + m\angle B =110\degree + 70\degree [/tex]
[tex] m\angle A + m\angle B =180\degree [/tex]
A cylindrical container of paint with radius 6 in. is 15 in tall. If all of the surfaces except
the top are made of metal, how much metal is used to make the container? Assume the
thickness of the metal is negligible. Show your answer to the nearest square inch.
Answers
-2(x - 14) help me? I need help so I can get my grade up in algebra and pass my class so please help me?
Answers
Answer:
[tex] - 2x + 28[/tex]
Step-by-step explanation:
1) Expand by distributing terms.
[tex] - 2x - 2 \times - 14[/tex]
2) Simplify 2 × -14 to -28.
[tex] - 2x - ( - 28)[/tex]
3) Remove parentheses.
[tex] - 2x + 28[/tex]
Therefor, the answer is - 2x + 28.
WHAT IS THE TOTAL SURFACE AREA OF THE SQUARE PYRAMID BELOW!?!??!?!
Answers
Answer:
the answer is going to be 203 square inches
Step-by-step explanation:
7 x 11 = 77
77 x 2 = 154
7 x 7 = 49
154 + 49 = 203
NOTICE:11.5 is useless, don't get tricked.
Answer:
Solution given:
side of base[a]=7in
height[h]=11in
slant height [l]=11.5in
THE TOTAL SURFACE AREA OF THE SQUARE PYRAMID=a²+2ah=7²+2*7*11=203in²
The total surface area of square pyramid is 203in².
find the missing dimension of the triangle
Answers
Answer:
b=7
Step-by-step explanation:
A=bh/2
28=8b/2
56=8b
b=7