Answer:
Y = 15x + 30 and 8 hours
Step-by-step explanation:
She gets $15 per hour so her income is based on her hours, but we don't know what that is yet so, 15x.
She gets a solid $30 every week that is straight forward
To solve the function
150 = 15x + 30
subtract 30 from both sides
120 = 15x
divide 15 from both sides
8 = x
or
x = 8
You got this :)
An open shape is made up of line segments. In this type of shape there is at least one line segment that is not connected to anything at one of its endpoints, so the shape is not a closed figure. So, I am going to provide four graphs for this problem.
1. Parable
This is given by the curve:

See figure 1.
2. Cubic function.
This function is given by:

see figure 2
3. Quartic function
This curve is given by:

see figure 3
4. Cosine functionThis function is given by this equation:

See figure 4.
All these curves are open shapes. So, we can find a new open shape as the sum of all these curves as follows:

See figure 5.
Answer:
Step-by-step explanation:
density is mass divided by volume, so 25g divided by 10 cm = 2.5 g
Answer:
There is no answer given in the option for this question.
Step-by-step explanation:
The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.