Answer:
a) 3 people will need 35 days to paint the bridge
b) p=105/t
Step-by-step explanation:
a)
We have 7 people each one is to work 15 days, so the bridge needs a total of 7(15) days of work
7(15)=105
Then we have 3 people each one is to work t days, altogether should do a total of 105 days of work
3(t)=105
Solve for t
t=35
b)
Substitute p for 3 in the second equation
p(t)=105
Solve for p
p=105/t
Answer:
since A is getting smaller it cant be the last 2, so its either 1/2 or 3/4 and a 1/2 dilation would be wayy smaller than that. so I'm thinking its 3/4
Step-by-step explanation:
lmk if this helps :)
Answer:
m∠3 = 70°
Step-by-step explanation:
By the properties of a parallelogram,
- Opposite angles of a parallelogram are equal in measure.
- Adjacent angles of a parallelogram are supplementary angles.
m∠2 = m∠4 and m∠1 = m∠3
4x + 30 = 2x + 70
4x - 2x = 70 - 30
2x = 40
x = 20
Therefore, m∠2 = m∠4 = 110°
Since, m∠2 + m∠3 = 180°
110° + m∠3 = 180°
m∠3 = 180° - 110°
m∠3 = 70°
Answer: C
Step-by-step explanation:
The rational zero theorem looks at the number of sign changes in the equation's terms when x is evaluated with a positive or negative number. In your problem, if we insert a positive value for x:
1st term stays +, 2nd term stays -, 3rd term stays -, last term stays +.
Read from left to right and determine the number of sign changes:
+ - - + [there is a change from + to -, no change from - to -, and a change from - to +] Therefore 2 sign changes. There can be two positive rational zeros, or zero rational zeros [It's always the number of sign changes, and then every other number less than the number of sign changes, and zero]
Let's now do it for a negative x:
1st term becomes -, 2nd term stays -, 3rd term becomes +, last term stays +
- - + + [there is no sign change from - to -, one change from - to +, no change from + to +] Therefore one sign change. There can be one negative rational zero, or zero rational zeros.
This is a difficult concept to type out in a screen box. Please post me a comment if you need additional clarification!