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Lady_Fox [76]
3 years ago
13

Taylor is buying a chest freezer that had an original price of $145 but is

Mathematics
1 answer:
mixas84 [53]3 years ago
6 0

Answer:B

Step-by-step explanation:

It's 116.09

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Amy wants to sell at most 25 cookies and at least 10 sprites
Inga [223]

Answer:

x\leq 25\\y\geq 10\\.50x + y\geq 30

Step-by-step explanation:

It is given that,

Amy wants to sell at most 25 cookies ,

Let number of cookies be 'x' , then x should be less than or equal to 25

Which is represented by  x\leq 25 ,

Further,

Let number of sprites be 'y', then 'y' should be greater than or equal to  10

Which is represented by y\geq 10

Also,

Given,

she profits $.50 on every cookie

and $1.00 on every  sprite.

So total profit on selling cookies would be

= Profit on each cookie times the number of cookies

=.50\times x

=.5x

Similarly, total profit on selling sprites would be

=profit on each sprite times the number of sprites

=1.00\times y

=y

Now, combining these two should be greater than or equal to $30

representing this through an equation,

.50x+y\geq 30

Thus the sysytem of equations is given as:

x\leq 25\\y\geq 10\\.50x + y\geq 30

6 0
3 years ago
What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC
marta [7]

Answer:

C. B(x,y) = \left(3,-\frac{16}{3} \right)

Step-by-step explanation:

Let A(x,y) = (6,-7), B(x,y) = (x,y) and C(x,y) = (-3,-2). From statement we know that AB = \frac{1}{2}\cdot BC, which is equivalent to the following linear algebraic formula:

B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)] (1)

B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)

\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)

B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y) (2)

Then, the coordinates of point B on AC are:

B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)

B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)

B(x,y) = \left(3,-\frac{16}{3} \right)

Which means that correct answer is C.

5 0
3 years ago
If a square block is 17 centimeters on one side.what is the perimeter of the block?
emmasim [6.3K]
If a shape is a square, this mean that each side has the same length. This means that each side of the square has a length of 17cm. Perimeter is the length of the outer boundary of a shape or the summation (addition) of all the sides. This means that the perimeter of this square is 17+17+17+17 or 17×4 which is equal to 68cm.
I hope this helps!
6 0
3 years ago
Read 2 more answers
In FGH,FH =7 ft,FG=12 ft and m
nikdorinn [45]

Answer:1) In Δ FGH,

FH=7 ft, FG=12 ft,

∠F=70 degrees

By "Law of cosines":

So,By applying Law of Sines , we get that

Hence, Option 'D' is correct.

2) In Δ XYZ,

XY=14, ∠Y=22°, and XZ=26

By using "Law of sines":

so, X = 147° , Y = 22° , Z = 11.6°

Step-by-step explanation:

5 0
2 years ago
The lengths of the legs of a right triangle are 6 cm and 8 cm. What is the length of the hypotenuse?
Svetllana [295]
You require the Pythagorean Theorem: in a right triangle, the sum of the squares of the legs equals the square of the hypotenuse.In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2
 the hypotenuse is 10.
6 0
3 years ago
Read 2 more answers
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