If you put a $160 coat on layaway and make a 25% deposit, what is the balance owed?

Answers

Answer 1
Answer: 25% of $160

= (25/100) * 160

= 0.25 * 160

= 40

$40 paid.

Balance owed = $160 - $40 = $120

Balance owed = $120

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What is the resulting equation when the expression for y in the second equation is substituted into the first equation?3x + y = 1 y = 6 - 4x a. -x + 6 = 1 b. x + 6 = 1 c. 7x + 6 = 1
What is 89 divided by 21?
Please show me the steps of to do this DON"T GIVE ME THE ANSWERASAP
115%of what number is 84.87

Which is bigger 25yd or 75ft

Answers

They are equal because
1 yd=3ft
25 yds= x feet
x= 25*3
feet=75

neither is bigger because they are the same. 25 yards is equivalent to 75 feet.

6. Write two rational numbers which are their own reciprocals ?

Answers

1 and -1 are the only rational numbers which are their own reciprocal.\:

Find the solutions to sin2(x) + cos(x) = 1, keeping 0 ≤ x < 2π

Answers

sin2(x) +cos(x)=1
from the relation: (sin2(x) +cos2(x) =1 )
so , sin2(x)=1-cos2(x)
by subs. in the main eqn.
1-cos2(x) + cos(x) =1
by simplify the eqn.
cos(x) -cos2(x)=0
take cos(x) as a common factor
cos(x)* (1-cos(x))=0
then cos(x)=0 && cos(x)=1
cos(x)=0 if x= pi/2
& cos(x) = 1 if x = 0 , 2*pi
so the solution is x= {0,pi/2 , 2*pi}

Answer:

Which statements did you include in your answer?

Isolate sin(x) by adding 4 and taking the square root of both sides.

State that sin(x) = 2 or sin(x) = –2.

State that –2 and 2 are undefined values  of the inverse sine function.

There are no solutions because –2 and 2 are not in the domain of the function.

Step-by-step explanation:

For all pairs of real numbers, S and T where S=4T-7, what does T equal?

Answers

s=4t-7

s+7=4t

(s+7)/(4)=t
s = 4t - 7
s + 7 = 4t - 7 + 7
s + 7 = 4t
   4        4
1/4s + 1 3/4 = t
s = 4(1/4s + 1 3/4) - 7
s = s + 7 - 7
s = s + 0
s = s


Can anyone help me find the answer to

2x+9x+4

Answers

so to factor

to factor this in ax^2+bx+c form where a is greater than 1,
b=z+y
ac=xy
solve

so a=2
b=9
c=4

9=y+z
c times a=4 times 2=8
what 2 numbers add up to 9 and mulitply to get 8?
factor 8
8=
1 times8
2 times 4
if we add them up we get
1+8=9 check
2+4=6

the numbers are 1 and 8
split up the middle term
2x^2+1x+8x+4
group
(2x^2+1x)+(8x+4)
factor out/reverse distribute
(x)(2x+1)+(4)(2x+1)
reverse distribute useing distributive proerty
ab+ac=a(b+c)
(x+4)(2x+1)

the factored form is (x+4)(2x+1)

Which of the following Platonic solids is also a pyramid? A. tetrahedron B. Hexahedron C. octahedron D. Icosahedron E. dodecahedron F. None of These

Answers

Tetrahedron is a Platonic solids which is also a pyramid, i.e. Option (A).

What is pyramid?

Pyramid is a three dimensional shape. Pyramid is a polyhedron formed by connecting a polygonal base and a point. A triangular pyramid is also called a tetrahedron.

  • A tetrahedron is known as a triangular pyramid in geometry. The tetrahedron consists of 4 triangular faces, 6 straight edges, and 4 vertex corners. It is a platonic solid which has a three-dimensional shape with all faces as triangles.

So,

As mentioned in the above definition "A triangular pyramid is also called a tetrahedron."

Hence, we can say that Tetrahedron is a Platonic solids which is also a pyramid, i.e. Option (A).

To know more about pyramid click here

brainly.com/question/17615619

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tetrahedron - its the only one that has a base from which all edges meet at a single point.