or the compound:

carbon in the middle with 3 bonds
-double bond to oxygen
-bond to Mn(CO)5
-bond to CH3 group

is the oxidation state of the metal +1?
d count 6?
total electron count 20?
coordination number 7?

To determine the oxidation state of the metal, the overall charge of the compound must be considered. Since you have not provided any information about the charge, it cannot be determined whether the oxidation state of the metal is +1.

To calculate the d count, we need to determine the number of d electrons in the manganese ion. The oxidation state of the metal is not given, so we cannot determine the d count from that information alone. However, if we assume the oxidation state of the manganese ion is +1, the d count would be 6. It is worth noting that the oxidation state of manganese in this compound is usually -1, which would result in a d count of 7.

The total electron count can be calculated by adding up the valence electrons of each atom and subtracting the charge, if any. From the given information, we can count the following valence electrons:
- Carbon: 4
- Oxygen: 6
- Manganese: This depends on the oxidation state assumption. If we assume +1, it would be 7. If we assume -1, it would be 8.
- Hydrogen: 1

Adding these up, we get:
4 (Carbon) + 6 (Oxygen) + 7 or 8 (Manganese) + 1 (Hydrogen) = 18 or 19 valence electrons, depending on the oxidation state.

The coordination number refers to the number of bonds between the central metal atom and the surrounding ligands. In this case, the manganese atom is bonded to four carbon monoxide (CO) ligands and one CH3 group, so the coordination number is 5.

In summary:
- The oxidation state of the metal cannot be determined without information about the compound's charge.
- The d count can be 6 or 7 depending on the assumed oxidation state of the manganese ion.
- The total electron count is 18 or 19 depending on the assumed oxidation state of the manganese ion.
- The coordination number is 5.