You have $35.72 to spend for a sweatshirt. The sales tax is 7% what is your price limit for the sweatshirt?

Hank bought 5 meters of ribbon for $4. The ribbon costs -$0.008, 0.08, $0.8- per -millimeter, centimeter, kilometer-. Choose one

aleksandrvk [35]

To determine the cost of each meter of the ribbon, we divide the cost for 5 meters of ribbon by 5. That is,
x = $4 / 5
where x is the cost of each meter. Simplifying will give us an answer of $0.8/m. Converting this to per mm.
($0.8/m) x (1 m/ 1000 mm)
= $0.0008/mm

5 0

2 years ago

On Sasha's desk there are c green notebooks. The number of red notebooks on her desk is 6 less than number of green notebooks. H

aksik [14]

Sasha's desk has $c$ green notebooks.

The number of red notebooks on her desk is $c-6$ .

Sasha's desk has either green or red notebooks.

The total number of notebooks on Sasha's notebook is $c+c-6=2c-6$ .

7 0

2 years ago

Which graph matches the equation y+3=2(x+3)?

Vlad1618 [11]

Answer:

The graph that includes points (-3,-3) and (0,3)

Step-by-step explanation:

In the pictures attached, the options are shown.

The equation:

y+3=2(x+3)

has the point-slope form, which is:

y-y₁=m(x-x₁)

where (x₁, y₁) is a point on the line and m is its slope. This means that (-3,-3) is on the line. To know the y-intercept of the line, we have to replace x = 0 into the equation, as follows:

y+3=2(0+3)

y+3 = 6

y = 6 - 3

y = 3

Then, point (0, 3) is on the line.

8 0

2 years ago

Point b has coordinates (3,-4) and lies on the circle whose equation is x^2 + y^2= 25. If angle is drawn in a standard position

lakkis [162]

Point B has coordinates (3,-4) and lies on the circle. Draw the perpendiculars from point B to the x-axis and y-axis. Denote the points of intersection with x-axis A and with y-axis C. Consider the right triangle ABO (O is the origin), by tha conditions data: AB=4 and AO=3, then by Pythagorean theorem:

 $BO^2=AO^2+AB^2 \\ BO^2=3^2+4^2 \\ BO^2=9+16 \\ BO^2=25 \\ BO=5$ .

{Note, that BO is a radius of circle and it wasn't necessarily to use Pythagorean theorem to find BO}
The sine of the angle BOA is
$\sin \angle BOA= \dfrac{AB}{BO} = \dfrac{4}{5} =0.8$

Since point B is placed in the IV quadrant, the sine of the angle that is drawn in a standard position with its terminal ray will be 


 $\sin \theta=-0.8$ .

3 0

2 years ago

Matt wants to buy a television. If he pays cash, he gets a discount of 7%. If he pays with a loan he has to pay an extra 10% in

Vitek1552 [10]

Answer:

Cost of Television = $294

Step-by-step explanation:

7% discount means 7/100 = 0.07 LESS

So we need to multiply by 1 - 0.07 = 0.93

Also, 10% MORE, or extra, means 10/100 = 0.10 MORE

So we need to multiply by 1 + 0.10 = 1.1

Let cost of television be "c", so we can say:

7% discount would mean cost to be c(0.93) = 0.93c
10% with interest would mean cost to be c(1.10) = 1.10c

The difference is 49.98. So we subtract lower value (0.93c) from larger value (1.10c) and equate to 49.98 and solve for c:

$1.10c-0.93c=49.98\\0.17c=49.98\\c=\frac{49.98}{0.17}\\c=294$

Cost of Television = $294

6 0

2 years ago