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
PLEASE HELP WORTH 15 POINTS
Alyssa has 30 pencils, where 60% of the pencils are sharpened. How many sharpened pencils does Alyssa have?
Answer:
18 sharpened pencils
Step-by-step explanation:
Total = 30 pencils
100% = 30 pencils
1% = 30 ÷ 100 = 0.30
60% = 0.30 x 60 = 18
Answer:
18 sharpened pencils
Step-by-step explanation:
the percent 3/5 can be multiplied by 6 to give u 18/30
What does civic participation include? Check all that apply. cleaning up street litter helping neighbors in trouble paying all taxes on time helping communities in trouble testifying as a witness in court
Answer:
i think it is 1,2,3
Step-by-step explanation:
sorry if im wrong :(
Answer:
ABC
Step-by-step explanation:
edge 2021
please correct me if wrong
Find the measure of angle H
Answer:
80
Step-by-step explanation:
All triangle angles add up to 180 so:
4x - 20 + 2x + 2x = 180
8x - 20 = 180
8x = 200
x = 25
<H:
4x - 20
4(25) - 20
100 - 20
80
Plz help me with math here is the question use the distributive property to find an equivalent expression for: 6 (2m + 4 ) *
Answer:
12m + 24
Step-by-step explanation:
Using the distributive property, distribute 6 to the terms in the parentheses
6(2m + 4)
12m + 24
So, the equivalent expression is 12m + 24
A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag. What is the sample space for this experiment?
Answer:
The sample space is 29........
What is the combined weight of all the kittens
Answer:
[tex]5[/tex]
Step-by-step explanation:
3/4+12/8+3/2+10/8=5
The temperature drops to a rate of five degrees per hour. Be d the number of degrees that lowers the temperature. Be the number of hours you spend. What is the dependent variable?
Answer:
d, the number of degrees that the temperature was lowered by
Step-by-step explanation:
The dependent variable in this scenario would be d, the number of degrees that the temperature was lowered by. This is because the value of this variable depends on the actual amount of hours that have passed by. Therefore, depending on the number of hours, the value of d could be completely different. The variable h for the number of hours does not depend on any other variable in the equation and has its own value, but since d depends on h then it would be the dependent variable in this scenario.
Sierra has plotted two vertices of a rectangle at (3,2) and (8,2). What is the length of the sides of the rectangle
Answer:
5units
Step-by-step explanation:
Given the two vertices of a rectangle at (3,2) and (8,2). We are to calculate the distance between the two points.
Using the formula
D = √(x2-x1)²+(y2-y1)²
D = √(2-2)²+(8-3)²
D = √0+5²
D = √25
D = 5
Hence the length of the side of the rectangle is 5units
Devontae and three of his friends drive the Pennsylvania Turnpike from Ohio to New Jersey. If they split the $47.00 toll equally, how much does each person pay?
Bella surveyed the first 15 students in the lunch line.
Is this sample of the students in the school likely to be representative?
yes
no
Answer:
No
Step-by-step explanation:
Only people in the lunch line got surveyed, that on it's own is biased.
Only 15 people out of the entire school.
Only the first people got surveyed.
Resuelve la siguiente operacion con su proceso: 3 x( 2 + 4 x 3 ) - 2 x( 3 x 2 - 2 x 2 )+ 5 - 2= Es urgente!
Answer:
41
Step-by-step explanation:
Usando BODMAS, entonces que tenemos
(2 + 4 * 3) =
(2 + 12) =
14
Con el segundo uno, tenemos
(3 * 2 - 2 * 2). Con esto, dices que
(3 * 2) - (2 * 2) =
6 - 4 =
2
Y ahora, decimos que
3 * (14) - 2(2) + 5 - 2 =
42 - 4 + 3 =
42 - 1 = 41
Nos respuesta a la pregunta es 41. Espero que tú entiendas
What is the value of x in the figure below
Answer:
just delete this
Step-by-step explanation:
Please help i'm not doing good in math i will give you the crown
Answer:
B
Step-by-step explanation:
The format for quadrant 2 would be (-,+) and answer choice be fits that because it is(-3,2)
The schoolyard at Kenny's school is a square that is 50 yards long on each side. What is the area of the schoolyard?
Answer:
100
Step-by-step explanation:
Answer:
100 plz thank me later have a grate day love you all
35POINTS PLZ HELP FAST
What is the volume of a cone with a radius of 4 in and a height of 1 ft?
50.24 cubic in
603.19 cubic in
16.7 cubic in
200.96 cubic in
Answer:
Step-by-step explanation:
16.76FT^3
To find the volume of a figure you need to use which of the following formulas?
Answer:
l x w x h
Step-by-step explanation:
volume is usually length x width x height
Which expression has a value of -8?
A 14 + 2(−5) − (3)(9)
B (10 ÷ 5) − (2 ∙ 4) − 5 + 8
C −4 − 5 − 1 − 2(4) + 10
D 12 − 2(4) + (5 − 2) − 33
Factor the expression: 12xy+15xyz-3xyz
Answer: 12xy + 12xyz
Step-by-step explanation:
15xyz - 3xyz = 12xyz + 12xy
determine equation for line that is perpendicular to x=-2 and passes through the point (6,1)
Answer:
y = 1
Step-by-step explanation:
The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
A) 14/13
B) 25/7
C) 4
Answer:
C) 4Step-by-step explanation:
The nth term of arithmetic sequence is [tex]a_n=a_1+d(n-1)[/tex]
So:
[tex]a_{15}=a_1+d(15-1)\\\\53=-3+14d\\\\56=14d\\\\d=\dfrac{56}{14}=4[/tex]
Use the distributive property to expand (simplify) 12(a-5)
Answer:
12a-60
Step-by-step explanation:
12(a-5)
=12a-12*5
Multiply 12 *5=60
=12a-60
Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!
HOPE THIS HELPED!!!
Answer:
[tex]\huge\boxed{\boxed{12a-60}}[/tex]
Step-by-step explanation:
Hello.
The Distributive Property states that
a(b+c)=ab+ac
Where
a, b, and c can be either constants or variables
we distribute a by multiplying it times b and c, and simplify if necessary.
In this case, we should distribute 12:
12(a-5)
12 times a and 12 times (-5):
12a-60
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
1. A line has a slope of 6 and includes the
points (-1, q) and (0, -7). What is the
value of q?
Answer:
q = - 13
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 6
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, q) and (x₂, y₂ ) = (0, - 7)
m = [tex]\frac{-7-q}{0+1}[/tex] = - 7 - q , then
- 7 - q = 6 ( add 7 to both sides )
- q = 13 ( multiply both sides by - 1 )
q = - 13
Answer:
q = -13?
Step-by-step explanation:
the equation is y = mx + c
m is the gradient
c is the y-intercept
where the line crosses the y axis
If 6 is the gradient then the equation is
y = 6x + c
Find c by using the coordinates given:
-7 = ( 6× 0) +c
-7 = 0 + c
c = -7
the equation is y = 6x -7
Substitute the other coordinates to find q:
y or q = (6 ×-1) - 7
q = -6 -7
q = -13
What is the surface area
Please help quick
no links please.
What is the area of the parallelogram?
Answer:
no se
tep-by-step explanation:
Write the phrase as an expression. Then evaluate the expression when y = 12. the difference of a number y and 9 The expression is The value of the expression is
Answer:
12-9 i think
Step-by-step explanation:
Because it says the difference if a number y and 9. If y equals 12 then shouldn't it be 12-9?
write the following quotient in scientific notation:
Answer:
0.7
Step-by-step explanation:
Find the missing length of the
figure.
20 cm and 12 cm
Answer:
16 cm
Step-by-step explanation:
Since all sides of a square are equal
Side x can be gotten using pythagoras theorem
hypothanous² = adjacent² + opposite²[tex] {20}^{2} = \: {12}^{2} \: + \: {x}^{2} \\ 400 \: = \: 144 \: + \: {x}^{2} \\ {x}^{2} \: = \: 400 \: - \: 144 \\ {x}^{2} \: = 256 \\ x = \sqrt{256} \\ x = 16cm[/tex]Help me out please?.
A cube has a surface area of 216 cm square 2.What is the length of each side of the cube?Label it below
Answer:
6 cm
Step-by-step explanation:
the cube has six faces, so each is 216/6 = 36 cm^2
so the side is [tex]\sqrt{36}[/tex]
