Answer:
price for one shirt
=
$
7.50
price for one pair of pants
=
$
18.50
Explanation:
Start by letting variables
x
and
y
represent the pieces of clothing from the problem.
Let
x
be the price of one shirt.
Let
y
be the price of one pair of pants.
Equation
1
:
4
x
+
3
y
=
85.50
Equation
2
:
3
x
+
5
y
=
115.00
You can solve for each variable by using elimination or substitution. However, in this case, we will use use elimination. First, we will solve for
y
, the price of each pair of pants.
To isolate for
y
, we must eliminate
x
. We can do this by making the two equations have the same
x
values. First, we find the LCM of
4
and
3
, which is
12
. Next, multiply equation
1
by
3
and equation
2
by
4
so that
4
x
and
3
x
becomes
12
x
in both equations.
Equation
1
:
4
x
+
3
y
=
85.50
3
(
4
x
+
3
y
)
=
3
(
85.50
)
12
x
+
9
y
=
256.50
Equation
2
:
3
x
+
5
y
=
115.00
4
(
3
x
+
5
y
)
=
4
(
115.00
)
12
x
+
20
y
=
460.00
Now that we have two equations with
12
x
, we can subtract equation
2
from equation
1
to solve for
y
.
12
x
+
9
y
=
256.50
12
x
+
20
y
=
460.00
−
11
y
=
−
203.50
y
=
18.50
⇒
price for one pair of pants
Now that we know that a pair of pants is
$
18.50
, we can substitute this value into either equation
1
or
2
to find price for one shirt. In this case, we will choose equation
1
.
4
x
+
3
y
=
85.50
4
x
+
3
(
18.50
)
=
85.50
4
x
+
55.5
=
85.50
4
x
=
28
x
=
7.50
⇒
price for one shirt
∴
, the price for one shirt is
$
7.50
and the price for one pair of pants is
$
18.50
.
Step-by-step explanation:
yea
Hal put $3000 into a savings account that earns 6% interest. After 6 years, what will be the total amount of money in his savings account?
Explain for BRAINLIST.
determine the intercepts of the line
Answer:
(0, -5/2), (-2, 0)
Step-by-step explanation:
To find the y-intercept, set x = to 0 and find y: -4y = 10. Thus, y = -5/2. The y-intercept is (0, -5/2).
To find the x-intercept, set y = to 0 and fid x: -5x = 10. Therefore the x-intercept is -2: (-2, 0)
(4,6) rotated 90 degree
Answer:
(6,-4)
Step-by-step explanation:
when you have (x,y) and you want to rotate it 90 degrees, you would switch the x and the y and then make the x negative. So (4,6) would switch to (6,4) and then the 4 would become negative.
What is the center and radius of the circle?
(x-1)^2 + y^2= 36
Answer:
Center = ( 1, 0)
Radius = 6 units
Step-by-step explanation:
[tex] {(x - 1)}^{2} + {y}^{2} = 36 \\ \\ {(x - 1)}^{2} + {(y - 0)}^{2} = {6}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = 0 \\ r = 6 \\ \\ Center = (h, \: k) = (1, \: 0) \\ Radius \: = 6 \: units[/tex]
El perímetro de una circunferencia es de 40π cm, y tiene un ángulo de 130°. Calcula el área del sector de dicha circunferencia.
Answer:
Area of sector = 144.4π cm²
Step-by-step explanation:
Given:
Perimeter of circle = 40π cm
Given angle = 130°
Find:
Area of sector
Computation:
Perimeter of circle = 2πr
⇒ 40π = 2πr
⇒ 40 = 2r
⇒ Radius r = 40 / 2
Radius r = 20 cm
Area of sector = [θ/360][π][r]²
⇒ Area of sector = [130/360][π][20]²
⇒ Area of sector = [0.361][π][400]
Area of sector = 144.4π cm²
A rectangle has a width of 4 units and a length of m units write an expression for the area of this rectangle
10 points
Answer:
4m units squared
Step-by-step explanation:
Area = Length x Width
Area = m x 4
Area = 4m units squared
20 ounce bag of pretzels to a party if each person at the party ate 1/5 of the bag how many ounces of pretzels in each person eat
Answer:
20/5 = 4
Step-by-step explanation:
since each person will get 1/5 of the original 20 ounces, you would divide the pretzels into 5 equal portions of 4.
Solve a ship leave port and travel 21km on a bearing of 032° and then 45km on a bearing 287 calculate the distance and bearing of the port from the ship
Answer:
Step-by-step explanation:
Let shall be considering the Cosine rule in this situation.
a^2 = b^2+c^2- 2bc.cosA
Where a = ?
b = 21km
c 45km
A = 131
a^2 = 21^2+45^2-2(21*45).cos131
a^2 = 441+2025-1890(-0.6560)
a^2 = 2466+1239.951
a^2 = 3705.951
a= 60.876km
Finding the bearing of the port from the ship.
We shall be considering the Sine rule
Sin A/a = Sin B/b
Where A = ?
a = 45km
B = 131°
b = 60.876km
Sin A/45 = sin131/60.876
SinA×60.876 = 45×sin131
SinA×60.876= 45×0.7547
SinA×60.876 = 33.961
SinA= 33.961/60.876
SinA = 0.5578
A = sin^-1 0.5578
A = 33.9°
tell whether a triangle can have the given angle measures:
47°, 109°, 23°
Answer:
No
Step-by-step explanation:
47 + 109 + 23 = 179
But the angle sum of a triangle is 180.
Evaculate the following using the rules for special products
1) 507 x 493
Answer:
249,951
Step-by-step explanation:
I used standard algorithm. I'm not sure how to explain this digitally to you.
I hope this helped.
pleasee helppp
Which of the statements about the graph below is true
A. The graph is proportional and has an
equation of y = -x + 18.
B. The graph is non-proportional and has an
equation of y = -x + 18.
C. The graph is non-proportional and has an
equation of y = -2x + 18.
D. None of the above statements are true.
A jar contains 8 red counters and 21 blue counters. A counter is taken at random from the jar. what is the probity that it is.
A. red
B. blue
C. green
Since there are no green counters, the probability of selecting a green counter is always 0 in this context.
Given that the jar contains 8 red counters and 21 blue counters, we can determine the probabilities of selecting each color.
Total number of counters in the jar = 8 (red) + 21 (blue) = 29
(a) The probability of selecting a red counter:
Number of red counters / Total number of counters = 8 / 29
(b) The probability of selecting a blue counter:
Number of blue counters / Total number of counters = 21 / 29
(c) The probability of selecting a green counter:
There are no green counters in the jar, so the probability of selecting a green counter is 0.
Therefore, the probabilities are as follows:
A. The probability of selecting a red counter is 8/29.
B. The probability of selecting a blue counter is 21/29.
C. The probability of selecting a green counter is 0.
Please note that since there are no green counters, the probability of selecting a green counter is always 0 in this context.
To know more about "probability." here
https://brainly.com/question/23417919
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TIME REMAINING
01:59:41
What is the length of the other diagonal, DF?
Sofia cuts a piece of felt in the shape of a kite for an art
project. The top two sides measure 20 cm each and the
bottom two sides measure 13 cm each. One diagonal,
EG, measures 24 cm.
05 cm
O 16 cm
F
21 cm
O 32 cm
20 cm
20 cm
E
G
13 cm
13 cm
D
w
Answer:
EF² = FA²+ EA²
20² = 12² + FA²
400 -144 = FA²
256 =FA²
16cm = FA
Now in Δ DAG
DG² = AG² + DA²
13² = 12 ²+ DA²
169 -144 = DA²
25 = DA²
5cm = DA
Then that means diagonal DF = DA + FA
= 5 + 16
= 21cm
Step-by-step explanation:
The value of the other diagonal DF is 21.66 cm.
What is Pythagoras Theorem?The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.
Given:
The top two sides measure 20 cm each and the bottom two sides measure 13 cm each.
EG= 24 cm.
As, Diagonal ED divides the diagonal DF into two equal parts.
Now, Using Pythagoras theorem in triangle DOG
x²/4 + y² = 13²= 169
and, Using Pythagoras theorem in triangle EOD
x²/4 + (24 -y)² = 20²= 169
x²/4 + 576 -48y+ 169 - x²/4 = 400
-48y= -345
y= 7.1785
now, y²= 169 - x²/4
51. 6601 = 169 - x²/4
x/2 = 10.83
x = 21.66 cm
Thus, the other diagonal DF is 21.66 cm.
Learn more about kite shape here:
brainly.com/question/12231347
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What is the solution to this equation?
-1.6x=80
O A X-50
Ов. х = -5
O c. X= 50
O D. X= 5
Answer:-50
Step-by-step explanation:
-1.6x=50
for x
x=50/-1.6
x=-50
Aiden has 56 orange slices to share equally with 6 friends. If Aiden also gets an equal number of orange slices, how many orange slices will each person get?
Answer:
8 orange slices
Step-by-step explanation:
The total number of persons = Aiden + 6 friends = 7 persons
7 people are to share 56 orange slices equally.
Hence,
7 persons = 56 slices
1 person = x
Cross Multiply
7x = 56 × 1
x = 56/7
x = 8 slices
Therefore, each person will get 8 orange slices
For the function f(x) = 2x + 9, find the value of x when f(x) = 15.
I need help asap
Juane had $6.00, then spent $4.00. After one week he had earned 12 more dollars, but spent half of the total money she has. How much money does he have left?
also Can someone also please teach me how to make music using this website;
https://musiclab.chromeexperiments.com/Shared-Piano/#J_lgLdlzn
Mr Malloy wants to make sure amo and max get the best possible grade after five tests and can either give a grade based on the median or the mean
Answer:
• Median for Amo
• Mean for Max
Step-by-step explanation:
Amo's mean score:
= (97 + 92 + 89 + 55 + 90)/ 5
= 84.60
= 85
Max's mean score:
= (68 + 97 + 65 + 92 + 65) / 5
= 77
Amo's median:
First arrange the numbers in ascending order:
55, 89, 90, 92, 97
Median is middle which is 90.
Max's median:
65, 65, 68, 92, 97
Median is 68
Mr Javier should use Median for Amo and Mean for Max.
what two numbers multiply to 30 and add up to 11
Answer:
-5 and -6
have a great day:)
Find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year. P = $3,500 r= 5% t = 10 k = 4
A = ?
Answer:
A = 5,752.60
Step-by-step explanation:
P = $3,500
r= 5%
t = 10
k = 4
A = P(1 + r/k)^kt
= 3,500(1 + 0.05/4)^4*10
= 3,500(1 + 0.0125)^40
= 3,500(1.0125)^40
= 3,500(1.6436)
= 5,752.6
A = 5,752.60
Carl bought a stock for $56. He sold it a week later after its value had dropped below $30. How would you describe the size of Carl's loss
Answer:
greater than $ 26
Step-by-step explanation:
Price at which the share was bought = $56
The selling price of stock is below $30.
Therefore, the loss of carl would be greater than $56- $ 30 = $26
So, the size of loss of Carl any amount greater than $ 26.
Which of the following equations has a solution x = 4? Select all that apply.
0-2 (32 – 4) = -16
{(100 + 2) = 6
20 - 15x = 6 - 2 (4x + 7)
(90 - 12) +6 = -10
Answer:
[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex]
Step-by-step explanation:
Given
[tex]-2(3x - 4) = -16[/tex]
[tex]\frac{1}{2}(10x + 2) = 6[/tex]
[tex]20- 15x = 6 - 2(4x + 7)[/tex]
[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]
Required
Equations with [tex]x = 4[/tex] as a solution
[tex]-2(3x - 4) = -16[/tex]
Divide both sides by -2
[tex]3x - 4 = 8[/tex]
Add 4 to both sides
[tex]3x - 4 +4= 8+4[/tex]
[tex]3x =12[/tex]
Divide both sides by 3
[tex]x = 4[/tex]
[tex]\frac{1}{2}(10x + 2) = 6[/tex]
Multiply both sides by 2
[tex]10x + 2 = 12[/tex]
Subtract 2 from both sides
[tex]10x + 2 -2= 12-2[/tex]
[tex]10x = 10[/tex]
Divide both sides by 1
[tex]x = 1[/tex]
[tex]20- 15x = 6 - 2(4x + 7)[/tex]
Open bracket
[tex]20 - 15x = 6 - 8x - 14[/tex]
Collect like terms
[tex]8x - 15x = 6 - 14 - 20[/tex]
[tex]-7x = -28[/tex]
Divide both sides by -7
[tex]x = 4[/tex]
[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]
Subtract 6 from both sides
[tex]\frac{1}{3}(9x - 12) + 6-6=-10-6[/tex]
[tex]\frac{1}{3}(9x - 12) =-16[/tex]
Multiply both sides by 3
[tex]9x - 12 = -48[/tex]
Add 12 to both sides
[tex]9x - 12 +12= -48+12[/tex]
[tex]9x = -36[/tex]
Divide both sides by 4
[tex]x =-4[/tex]
[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex] have [tex]x = 4[/tex] has a solution
Answer: 1st and 3rd
Step-by-step explanation:
Can someone help me please ? :)
Answer:
(4, 3 ) and (1.5, 8 )
Step-by-step explanation:
Given the 2 equations
2x + y = 11 → (1)
xy = 12 → (2)
Rearrange (1) expressing y in terms of x by subtracting 2x from both sides.
y = 11 - 2x → (3)
Substitute y = 11 - 2x into (2
x(11 - 2x) = 12 , that is
11x - 2x² = 12 ( subtract 12 from both sides )
11x - 2x² - 12 = 0
2x² - 11x + 12 = 0 ← in standard form
(x - 4)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 1.5
Substitute these values into (3) for corresponding values of y
x = 4 : y = 11 - 2(4) = 11 - 8 = 3 ⇒ (4, 3 )
x = 1.5 : y = 11 - 2(1.5) = 11 - 3 = 8 ⇒ (1.5, 8 )
PLEASEE HELP ME FAST
Answer:
Step-by-step explanation:
2/3 ÷ 1/3
=2/3 × 3/1 (recipracol)
=6/3
=2
Answer:
2 and [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
when you divide by a fraction you just multiply by its reciprocal
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3} * \frac{3}{1}[/tex]
then just solve
[tex]\frac{6}{3}=2[/tex]
for the second one do the same thing
[tex]\frac{4}{5} * \frac{2}{1} =\frac{8}{5}[/tex]
7. Jasmine buys a pack of 15 socks for $9.00. Shawn buys a pack of 20 socks for
$11.00. Write a ratio to represent they paid to the number of socks. Who got a better
deal on socks? Explain.
Answer: Well if you buy a pack of socks with 15 for $9 you are not getting the best deal over buying a pack of socks with 20 for $11. The reason behind this is because each sock is worth $0.6 meaning that you are only paying two extra dollars for five socks which would have normally cost $3. Shawn (with the 20 pack) is saving $1.
Can someone please help me with this math problem? Please.
Simplify the expression:(2x-3y)^2/(3y-2x)^2 Ava simplified the expression and said that the value is -1. (2x-3y)^2/(3y-2x)^2 (2x-3y)^2/-(2x-3y)^2 and then she has both of them crossed out (2x-3y)^2/-1(2x=3y)^2 =-1 Is Ava's solution correct? If not, find and explain her mistake. Give the correct solution.
Answer:
Ava is incorrect
Step-by-step explanation:
Given
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]
[tex]Ava: \frac{(2x - 3y)^2}{(3y - 2x)^2} = -1[/tex]
Required
Determine if Ava is correct or not
Ava's solution is incorrect and the proof is as follows;
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]
Apply the following law of indices;
[tex]\frac{a^n}{b^n} = (\frac{a}{b})^n[/tex]
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{2x - 3y}{3y - 2x}]^2[/tex]
Rewrite the numerator
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-(3y - 2x)}{3y - 2x}]^2[/tex]
Cross out the common factor of the numerator and denominator
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-1}{1}]^2[/tex]
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [-1]^2[/tex]
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = 1[/tex]
Hence, the solution is 1; not -1
Her mistake is that, she did not apply the square on -1, after she factorize the denominator
Answer:
incorrect
Step-by-step explanation:
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Answer:
The answer is Door you can choose C because is likely to be the answer
Please help! Thank you!
Answer:
X=sigma xi/no of observation
5= (?) /4
5*4=sum of all numbers
20=sum of all the observation
If you are helped by this answer pls tag me brianliest I really want it
THANK YOU.......
Help me please and sorry about the points it doesn’t let me do more than that
SHOW ALL THE STEPS YOU USED TO SOLVE THIS. NO LINKS PLEASE
Answer:
192 cm^2
Step-by-step explanation:
A = b*h
8(24) = 192
