The proportional equation that represents the situation is:
y = 13x
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
In which k is the constant of proportionality, also called slope.
In this problem, the points (number, cost) are: (3,39), (5,65) and (8,104), hence the slope is given by:
[tex]k = \frac{39}{3} = \frac{65}{5} = \frac{104}{8} = 13[/tex]
Hence, the equation is:
y = 13x.
More can be learned about proportional equations at https://brainly.com/question/10424180
The slope of the linear equation is $13 per necklace.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope (rate of change), and b is the y intercept (initial value of y).
Let y represent the total charge for x number of necklaces.
From the table, using (3, 39) and (8, 104), hence:
m = (104 - 39) / (8 - 3) = 13
The slope of the linear equation is $13 per necklace.
Find out more on Linear equation at: https://brainly.com/question/14323743
(27/8)^1/3×[243/32)^1/5÷(2/3)^2]
Simplify this question sir pleasehelpme
Step-by-step explanation:
[tex] = {( \frac{27}{8} )}^{ \frac{1}{3} } \times ( \frac{243}{32} )^{ \frac{1}{5} } \div {( \frac{2}{3} )}^{2} [/tex]
[tex] = { ({ (\frac{3}{2} )}^{3}) }^{ \frac{1}{3} } \times {( {( \frac{3}{2}) }^{5} )}^{ \frac{1}{5} } \div {( \frac{2}{3} )}^{2} [/tex]
[tex] = {( \frac{3}{2} )}^{3 \times \frac{1}{3} } \times {( \frac{3}{2} )}^{5 \times \frac{1}{5} } \times {( \frac{3}{2} )}^{2} [/tex]
[tex] = \frac{3}{2} \times \frac{3}{2} \times {( \frac{3}{2} )}^{2} [/tex]
[tex] = {( \frac{3}{2} )}^{1 + 1 + 2} [/tex]
[tex] = {( \frac{3}{2} )}^{4} \: or \: \frac{81}{16} [/tex]
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\sf{\longmapsto{\bigg( \dfrac{27}{8} \bigg)^{\frac{1}{3}} \times \Bigg[\bigg( \dfrac{243}{32} \bigg)^{\frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
We can write as :
27 = 3 × 3 × 3 = 3³
8 = 2 × 2 × 2 = 2³
243 = 3 × 3 × 3 × 3 × 3 = 3⁵
32 = 2 × 2 × 2 ×2 × 2 = 2⁵
[tex]\sf{\longmapsto{\bigg( \dfrac{3 \times 3 \times 3}{2 \times 2 \times 2} \bigg)^{\frac{1}{3}} \times \Bigg[\bigg( \dfrac{3 \times 3 \times 3 \times 3 \times 3}{2 \times 2 \times 2 \times 2 \times 2} \bigg)^{\frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \dfrac{{(3)}^{3}}{{(2)}^{3}} \bigg)^{\frac{1}{3}} \times \Bigg[\bigg( \dfrac{({3}^{5})}{{(2)}^{5}} \bigg)^{\frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
Now, we can write as :
(3³/2³) = (3/2)³
(3⁵/2⁵) = (3/2)⁵
[tex]\sf{\longmapsto{\left\{\bigg(\frac{3}{2} \bigg)^{3} \right\}^{\frac{1}{3}} \times \Bigg[\left\{\bigg(\frac{3}{2} \bigg)^{5} \right\}^{\frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
Now using law of exponent :
[tex]{\sf{({a}^{m})^{n} = {a}^{mn}}}[/tex]
[tex]\sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{3 \times \frac{1}{3}} \times \Bigg[\bigg(\frac{3}{2} \bigg)^{5 \times \frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
[tex] \sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{\frac{3}{3}} \times \Bigg[\bigg(\frac{3}{2} \bigg)^{\frac{5}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{1} \times\Bigg[\bigg(\frac{3}{2} \bigg)^{1} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{1} \times \Bigg[\bigg(\frac{3}{2} \bigg)^{1} \times \bigg(\dfrac{3}{2} \bigg)^{2}\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{1} \times \Bigg[\bigg(\frac{3}{2} \bigg)^{1} \times \bigg(\dfrac{3}{2} \times \dfrac{3}{2} \bigg)\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \dfrac{3}{2} \bigg)^{1} \times \Bigg[\bigg(\dfrac{3}{2} \bigg)^{1} \times \bigg(\dfrac{3 \times 3}{2 \times 2}\bigg)\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \dfrac{3}{2} \bigg)^{1} \times \Bigg[\bigg(\dfrac{3}{2} \bigg)^{1} \times \bigg(\dfrac{9}{4}\bigg)\Bigg]}} \\[/tex]
[tex] \sf{\longmapsto{\bigg( \frac{3}{2} \bigg)\times \Bigg[\bigg(\frac{3}{2} \bigg)\times \bigg(\dfrac{9}{4}\bigg)\Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg( \dfrac{3}{2} \bigg)\times \Bigg[ \: \: \dfrac{3}{2} \times \dfrac{9}{4} \: \: \Bigg]}}\\[/tex]
[tex]\sf{\longmapsto{\bigg( \dfrac{3}{2} \bigg)\times \Bigg[ \: \: \dfrac{3 \times 9}{2 \times 4} \: \: \Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\bigg(\dfrac{3}{2} \bigg)\times \Bigg[ \: \: \dfrac{27}{8} \: \: \Bigg]}} \\[/tex]
[tex]\sf{\longmapsto{\dfrac{3}{2} \times \dfrac{27}{8}}} \\[/tex]
[tex]\sf{\longmapsto{\dfrac{3 \times 27}{2 \times 8}}} \\[/tex]
[tex] \sf{\longmapsto{\dfrac{81}{16}}\: ≈ \:5.0625\:\red{Ans.}} \\[/tex]
Which statement is true about the polynomial
–10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?
Answer:
Below.
Step-by-step explanation:
–10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6
= 8m2n6 – 2m2n6 – 6m2n6 – 10m4n3 + 3m4n3
= 8m2n6 - 8m2n6 – 7m4n3
= –7m4n3.
It is a mononomial.
The perimeter of a rectangular field is 312m. If the width of the field is 61m,what is the length.
Answer:
95m
Step-by-step explanation:
312 - 61 - 61 = 190
190/2 = 95
Which of the following is true?
|−5| < 4
|−4| < |−5|
|−5| < |4|
|−4| < −5
Answer:
|-4| < |-5|
Step-by-step explanation:
because if modules is given sub sign will be deducate
Victoria saved $150 from babysitting and donated 10% to the local animal shelter how much of the $150 did Victoria donate?
Answer:
$15
Step-by-step explanation:
Make x the subject, 2x + y = s
Answer:
2x+y=s
2x\2+y\2=s\2
therefore x= s\2-y\2
PLEASE HELP!!! I NEED THIS DONE AS SOON AS POSSIBLE 20 points Make a table of order pairs for the equation y=-1/3+4 then plot two points to graph the equation
Answer:
ok so.u grit da he on 40/ rock cause u got a andriodnh on gf
which input value produces the same output value for the two funcions on the graphs
Rox) = x+1
9(x) = 3x-2
Answer: i solved on my channel
Step-by-step explanation: https://youtu.be/rTgj1HxmUbg
labron has $15,300 of total liabilities and $52,580 of total assets.what is his net worth
Answer:
.......................
What does changing the “a” variable do to the graph of a quadratic?
Answer:
makes it slope
Step-by-step explanation:
Ayuda porfa no entiendo
If f (x) = 3x + 1 and g(x) = 2x + 1, what is the value of f (g(2))?
Step-by-step explanation:
= f( g(2) )
= 3(2x + 1) + 1
= 6x + 3 + 1
= 6x + 4
= 6(2) + 4
= 12 + 4
= 16
f(g(2)) = 16
Which integer can you multiply by itself to get 400 as the square number?
a. 10
b. 20
c. 30
d. 40.
Answer:
20
Step-by-step explanation:
20*20 = 400
OR
[tex]20 {}^{2} = 400[/tex]
Reduce answers to their lowest
terms and mixed forms.
2 4
5
2/
+
f
Answer:
10 + 28 / 35
= 38 / 35
= 1.0875
Someone please help me answer this asap thank you x
(The empty box)
9 DNG AKUM
Solve for x :
N
M
5
U7
X+7
D 8 G
K 35 J
Answer:
x = 49
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{DN}{KJ}[/tex] = [tex]\frac{DG}{KM}[/tex] , substitute values
[tex]\frac{5}{35}[/tex] = [tex]\frac{8}{x+7}[/tex] ( cross- multiply )
5(x + 7) = 280 ( divide both sides by 5 )
x + 7 = 56 ( subtract 7 from both sides )
x = 49
please answer it is related to square root
Answer:
Step-by-step explanation:
[tex]2\sqrt{8}+3\sqrt{50}=2\sqrt{2*2*2} + 3\sqrt{5*5*2}\\\\= 2*2\sqrt{2}+3*5\sqrt{2}\\\\=4\sqrt{2}+15\sqrt{2}\\\\= 19\sqrt{2}[/tex]
[tex]3\sqrt{12}+4\sqrt{27}=3\sqrt{2*2*3}+4\sqrt{3*3*3}\\\\=3*2\sqrt{3}+4*3\sqrt{3}\\\\=6\sqrt{3}+12\sqrt{3}\\\\=(6+12)\sqrt{3}\\\\= 18\sqrt{3}[/tex]
This is a graphing problem and I am trying to find the x-intercepts and the y-intercepts. Please show me the full steps. I really appreciate it thank you.
Answer:
y-intercept: y = 3/4no x-interceptsStep-by-step explanation:
To find the y-intercept, set x=0 and evaluate the function.
f(0) = -3/(0 -4) = 3/4
The y-intercept is (0, 3/4).
__
To find the x-intercept(s), set f(x) = 0 and solve for x.
0 = -3/(x^2 -4)
0 = -3 . . . . . . . . . . multiply by (x^2 -4), x ≠ ±2
There are no values of x that will make this true. There are no x-intercepts.
_____
Additional comments
In general, you find the x-intercepts of a rational function by finding the zeros of the numerator. Here, the numerator is -3, so cannot ever be zero.
I find a graphing calculator to be a useful tool for showing where to look for x-and y-intercepts. The attached graph shows y=0 (the x-axis) is a horizontal asymptote, so there are no x-intercepts.
24. A triangle has side lengths of 6, 8, and 9. What type of triangle is it?
acute
equiangular
obtuse
right
•
you are renting a house in the seychelles for a week at $1500. What is the cost per day?
Step-by-step explanation:
cost per day
= $1500 / week
= $1500 / 7 days
= $1500 ÷ 7 / 7 ÷ 7
≈ $214,29 / day
Express the tan G as a fraction in simplest terms.
Answer:
[tex]\frac{\sqrt{70} }{5}[/tex]
Please I need help ASAP. Can someone help me?
Answer: The second bubble thing is correct you have picked the wrong one.
what is the percentage discount when a stereo is reduced from $258 to $199?
What is the value of x+y in this question and what’s the equation?
Answer:
Step-by-step explanation:x
Jonah earns $3 an hour working after school and $4 an hour working on Saturdays. Last week he earned $43, working a total of 13 hours. How many hours did he work on Saturday?
Answer:
9 hours worked after school and 4 hours worked on saturday
Step-by-step explanation:
x = amount of hours worked after school
y = amount of hours worked on saturday
x + y = 13 or x = 13 - y
and
3x + 4y = 43
plug:
3 · (13 - y) + 4y = 43
39 - 3y + 4y = 43
y = 4
plug:
x = 13 - y
x = 13 - 4 = 9
9 hours worked after school and 4 hours worked on saturday
there are red blue and green ribbon on the tabel.there are a total of 36 ribbon.3/6 of the ribbon is red.how manny ribbon is red
Answer:
18
Step-by-step explanation:
3/6 =1/2
1/2 of 36 is 18
lennys lizard weighs 6 pound less than duble the laura's lizard lennys weighs 60 pounds find the weight of lauras lizard
(Me, going to answer the easy questions because hard ones give me headaches)
Alright, listen up.
Steps:
First step: 60 is Lenny's lizard weight. Since it said 6 pounds less than double the lizard weight, we are going to multiply 60 by 2, therefore it would be 120.
Next step: Now 6 pounds less, so we are going to subtract 6 from that 120. 120 - 6 = 114.
Last step...: Label/answer: Lenny's lizard weight is 114 pounds.
Answer:
Laura’s lizard weights 33 pounds
Step-by-step explanation:
Let 2x be Laura’s lizard and
Let 2x - 6 be Lenny’s lizard
We know Lenny’s lizard is 60 pounds. Now to find Laura’s , equate( 2x - 6 )to 60 and solve for x
60 = 2x - 6
x =33
Therefore 33 is the answer
C+X=G
what is X?
this is a literal equation.
Answer:
x=g-c
Step-by-step explanation:
For a company picnic, Nick ordered a box of fresh-baked gingerbread cookies and sugar cookies. The box included a total of 36 cookies, and 25% of them were gingerbread. How many gingerbread cookies did Nick get?
Answer: 9
Step-by-step explanation:
36 ÷ 4 = 9
Please help! 15 points!! brainliest if right
Answer:
a)7x-3x
b)4+28y
Step-by-step explanation:
first one follow bidmas
2nd one just do 4 times 1 =4 and 7y times 4 equals 28y
