Answer:
y = 28.75
x = 26.5
Step-by-step explanation:
I think the amount of the second T-shirts purchased should be 2
Let the cost of each shirt be $ x, and the cost of each sweater be $ y.
Since the cost of each shirt is $ x, the cost of 3 shirts will be $ 3x and the cost of 2 shorts will be $ 2x.
Likewise, cost of each shirt is $ x, so the cost of 2 shirts will be $ 2x and cost of 4 sweaters will be $ 4y.
Andrea was able to buy 3 shirts and 2 sweaters for $113. This means:
Cost of 3 shirts + Cost of 2 sweaters = 113
Equation 1: 3x + 2y = 113
She was able to buy p shirts and 4 sweaters for $166. This means:
2x + 4y = 166
Dividing both sides by 2, we get:
Equation 2: x + 2y = 84
Subtracting Equation 1 from Equation 2, we get:
x + 2y - (3x + 2y) = 166 - 113
x + 2y - 3x - 2y = 53
2x = 53
x = 26.5
Using the value of x, in Equation 2, we get:
26.5 + 2y = 84
2y = 57.5
y = 28.75
Since, x represents the cost of shirt, the cost of each shirt is $ 26.5.
y represents the cost of sweater, so the cost of each sweater is $ 28.75.
Consider the parabola given by the equation: y = 1x^2 - 12x + 27
A) the vertex = (_,_)
B) the y-intercept is the point (0,_)
C) find the two values of x that corresponds to the x intercepts of the parabola and write them as a list separated by commas:
X= ___
Answer:
vertex: (6, -9)
y intercept: (0, 27)
X = 3, 9
Step-by-step explanation:
Finding Vertex (Part A)
Consider the formula -b/2a. This formula gives you the x-coordinate of the vertex.
y = 1x^2 - 12x + 27
a = 1
b= -12
c =27
-b/2a = - (-12)/2(1) = 12/2 = 6 (x-coordinate of vertex)
When solving for the y-coordinate of the vertex you will need to substitute your 'x" back into the equation.
y = 1(6)^2 - 12(6) + 27
y = 36 - 72 + 27 = -9 (y-coordinate of vertex)
--------------------------------------------------------------------------
Y- Intercept (Part B)
When looking for the y-intercept your "x" must always be 0.
Substitute 0 in every "x" in equation.
y = 1(0)^2 - 12(0) + 27
y = 27
y intercept: (0, 27)
------------------------------------------------------------------------------
X- Intercepts (Part C)
To find the values of "x" factor.
y = 1x^2 - 12x + 27
0 = 1x^2 - 12x + 27
0 = (x - 3 )(x - 9 )
(x-3) = 0 (x-9) = 0
x = 3 x = 9
Lori is solving the equation 4x2 + 5x - 6 = 0 using the quadratic formula. Which
expression shows the correct numbers substituted into the quadratic formula to
solve?
Answer:
[tex] \frac{ - 5 + \sqrt{( {5})^{2} } - 4(4)( - 6) }{ 2(4)} [/tex]
Find the value of x that makes line u and like v and parallel.
Answer:
6
Step-by-step explanation:
130 = 20x + 10
120 = 20x
6 = x
Answer:
6
Step-by-step explanation:
12x÷×5642579052
yjgrjhihdj
Look for a pattem to find the value of n
Answer:
It's 0.
Step-by-step explanation:
When you started counting from the left to the right. You will notice that the numbers get increased. At the 3 as a x-value, there would be 0.
This might surely help you ☺️❤️.
Keep studying and rest doubts leave on us. ❤️❤️
Which sentence illustrates the commutative property for addition? (1) (a+b)+c=a+(b+c)
(2) a(b+c)=ab+ac
(3) a+0=a
(4) a+b=b+a
Answer:
the answer is 2a(b+c)=ab+acAnswer:
The 4th option is correct. a+b = b+a
Step-by-step explanation:
first distribute, then combine like terms 5(2x+7)+4x
Answer:
14x+35
Step-by-step explanation:
10x+4x=14x
5*7=35
Answer:6x+12
Step-by-step explanation: combine like terms.
solve pls brainliest
Answer:
a) -10
b) +150
Answer: (a.) -50/5=-1 (b.) 5*30=+150
Step-by-step explanation:
(a.) each stock went down by -10x5=-50
(b.) 5x10=50. 50x3=150
half way I was doing this it got deleted
Which number is larger, 4.7 or 4.7777 77777? Explain your answer.
Answer:
4.7777 is larger
Step-by-step explanation:
4.7777 can be approximately written as 4.8
4.8 > 4.7
4.7777 > 4.7
Solve This
[tex]6 {}^{2} \times 6 {}^{3} [/tex]
[tex]( \sqrt{103} [/tex]
Hey there!
Question #1
6^2 × 6^3
6^2
= 6 × 6
= 36
6^3
= 6 × 6 × 6
= 36 × 6
= 216
36 × 216
= 7,776
6^2 × 6^3
= 6^5
• Question #1 answer: 7,776 or 6^5 either answer should work because both answers are equivalent
Question #2
√103
= 10.148892
• Question #2 answer: 10.148892
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
[tex] \small \sf \: 6 {}^{5} [/tex]
Alternate form: - 7776.
Step-by-step explanation:
1). 6² × 6 ³.
6² = 6 × 6 = 366³ = 6 × 6 × 6 = 2166² × 6³ = 36 × 216 = 7776.
Or,
6² × 6³
= [tex] \sf \small \: 6 {}^{2 + 3} [/tex]= [tex] \small \sf \: 6 {}^{5} [/tex]Frida owed
$75
on
her credit card. Then she charged
$21
more. What was her new
balance?
A pigeon was sitting 15 feet from the base of a telephone pole and flew 25 feet to reach the top of the pole. How tall is the telephone pole?
which is irrational?
-12/3 , 9.1293… , 10.55..?
-5/19 , checkmark81 , checkmark30
3.1415.. , -2pi , checkmark16/2
0.5 , - checkmark100 , 4.23
Answer:
3.1415.. , -2pi , checkmark16/2
Step-by-step explanation:
maybe this i dont really know im only here for the points since i need help with math too
Is 6 hours correct guys?
Answer:
yes it 6 hours
Step-by-step explanation:
Answer:
8 hours
Step-by-step explanation:
if the jacket is 32$, then we have to go beyond the graph, and make a function line.
so we can find the slope, how much money does she get per hour?
she gets 4$ per hour, meaning the equation is y=4x
y is the amount of money, x is the amount of hours.
substitute our desired amount of money, 32
32=4x
divide each side by 4 and you get 8
guys pls answer my question i am very confused
7.) She offered the Sharks 15% of her company for $30,000. How much is her
company worth? (Hint, Use a proportion to find what 100% of her company is
worth)
% 15
100%
$ 30,000
X
Answer:
100
Step-by-step explanation: 30/15=2 2*50=100
Use rulers and compasses to draw a line which is perpendicular to line AB at point C
Answer:
Draw a line AB
Take a point C on AB
Fix the tip of compass at C and with a fix radius, cut AB on both sides of C
Mark those points D and E
Fix the tip of compass on D, and with the same radius, draw an arc above C
Do the same with E
Those two arcs will intersect at a point, mark the point F
Make a line passing through both C and F
Line CF is perpendicular to AB
The length of a rectangle is three times
the width. The perimeter of the rectangle
is 24 inches. Write and solve an equation
to determine the width of the rectangle.
Answer: 3 inches
Step-by-step explanation:
Let x= width of rectangle
Let y=length of rectangle
y=3x, 2x+2y=24
Substitution:
2x+2(3x)=24
8x=24
x=3
The difference between 5 times a number and the number is 28 equation
Answer: I think the number would be 7
cscy-siny=cosy(coty)
Step-by-step explanation:
[tex]\csc y - \sin y = \dfrac{1}{\sin y} - \sin y[/tex]
[tex]\:\:\:\:\:\:\:\:=\dfrac{1 - \sin^2y}{\sin y}[/tex]
[tex]\:\:\:\:\:\:\:\:= \dfrac{\cos^2y}{\sin y}[/tex]
[tex]\:\:\:\:\:\:\:\:=\cos y \left(\dfrac{\cos y}{\sin y}\right)[/tex]
[tex]\:\:\:\:\:\:\:\:= \cos y \cot y[/tex]
Find the equation of a line that contains the points (-3,-1) and (-4, -7). Write the equation in slope-intercept form.
Answer:
y = 6x + 17
Step-by-step explanation:
First you can find the slope:
m = (y2-y1) / (x2-x1)
m = (-7 - (-1)) / (-4 - (-3))
m = (-7 + 1) / (-4 + 3)
m = -6 / -1
m = 6
_______
Then we can plug what we know into the point-slope form:
y - y1 = m (x - x1)
(you can pick either one of the points to plug in as (x1, y1))
y - (-7) = 6 (x - (-4))
y + 7 = 6 (x + 4)
_______
Now we can change the point-slope form into slope-intercept form by solving for y:
y + 7 = 6 (x + 4)
y + 7 = 6x + 24
y = 6x + 17
You buy tomatoes at
$1.29 per pound and peppers at $3.99 per pound
to make salsa. Write an expression for the total
cost of the ingredients. Then find the total cost of
5 pounds of tomatoes and 2 pounds of peppers
Answer:
Expression:
1.20p + 3.99p
Now subsitutute p with the number of pounds given for both tomato and pepper.
1.20(5) + 3.99(2) = $13.98
Cindy paid $16.50 for 3 cups of iced milo and 2 fish burgers.Each fish burger cost $1.50 more than a cup of iced milo.How much money did Cindy pay for one cup of iced milo
Answer:
$2.7
Step-by-step explanation
16.5 = 3m+2b
b = 1.5+m
16.5=3m+2m+3
16.5=5m+3
13.5=5m
m=2.7
A box is formed by cutting congruent squares from the corners. Find the maximum volume of a box made out of a 14 inch by 18 inch cardboard. Find
the lenth of the side of the cut out square. Round to the nearest hundredth place "hint: you may have to change your window in desmos.
Jinches
a. Maximum volume
b. length of side of square: x=
inches
Answer:
Step-by-step explanation:
V = x(14 - 2x)(18 - 2x)
V = (14x - 2x²)(18 - 2x)
V = (252x - 28x² - 36x² + 4x³)
V = 4x³ - 64x² + 252x
V' = 12x² - 128x + 252
0 = 3x² - 32x + 63
x = (32 ±√(32² - 4(3)(63))) / (2(3)
x = (32 ± √268) / 6
x = 8.06 inches, which we ignore as this would mean we have no material left at all in the 14 inch dimension.
or
x = 2.60488... 2.60 inches
Vmax = 0.60(14 - 2(2.60))(18 - 2(2.60)) = 292.86478... = 292.86 inches³
What is the equation of the line that passes through the point (2, 1) and has a
slope of 3/2?
Given :-
A line having a slope of 3/2 passes through (2,1) .To Find :-
The equation of the line .Answer :-
According to the question ,
m = 3/2 Point = (2,1)We know Point slope form of the line as ,
y - y¡ = m ( x - x ¡ )Substitute ,
y - 1 = 3/2 ( x - 2 ) y - 1 = 3/2x - 3/2*2y - 1 = 3/2x - 3 2( y -1) = 3/2x *2 - 3*22y - 2 = 3x - 6 3x - 2y -4 = 0Hence the equation of the line is 3x -2y-4=0 .
Answer:
Step-by-step explanation:
Use the form y = mx + b and plug in your known point
y = 3x/2 + b
1 = 3(2)/2 + b
1 = 3 + b
b = -2
y = 3x/2 - 2
we can use a plotting calculator to verify our result.
_:65=9:13
please help mee
Answer:
45
Step-by-step explanation:
We can divide
65 divided by 13.
65 divided by 13 is 5.
Now we mutliply that 5 to the 9.
9 times 5 is 45.
Which statement about this mapping is true?
The mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
The mapping represents y as a function of x, because each x-value is related to exactly one y-value.
The mapping does not represent y as a function of x, because there are more x-values than related y-values.
The mapping represents y as a function of x, because each y-value is related to exactly one x-value.
Answer:
The mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
Step-by-step explanation:
See it's not a function
Because In a function every c value has a unique y value.Here there is 4 values for one x .So it's a relationThe statement which is true about this mapping is the mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
WE have been given a domain figure.
We can see that the input values has more than one output values.
therefore, it cannot be a function Because in a function every input value has a unique y value.
Here there is 4 values for one x input.
x = 3
y = 2, 4, 5, 6
So it's a relation
Hence, the statement which is true about this mapping is the mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
A book sold 33,100 copies in its first month of release. Suppose this represents 7.8% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.
Help plz. I will give brainilest!
Answer:
4.35
Step-by-step explanation:
Make the numerator improper, by doing 8x4+3 which equals 35. And then drag that whole number to the front and slap a decimal between the whole number (4) and your new numerator (35)! Which would be: 4.35
Mason goes to a store an buys an item that costs xx dollars. He has a coupon for 30% off, and then a 7% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Mason paid at the register.
THE TOTAL AMOUNT THAT MASON PAID IS 549
pls answer the question important
Step-by-step explanation:
no they are not parallel
Answer:
not equal
Step-by-step explanation:
its not parallel because sum of angles of alternate angle are not equal.